Conditional Convergence

Results for NTCIR10-FT-6

Query

Original Query

NTCIR10-FT-6 Full Text Query Conditional Convergence \sum _{{n=1}}^{{\infty}}\frac{\sin(n)}{n} n = 1 sin ( n ) n superscript subscript n 1 n n infinite series conditionally convergent The open problem at could use a hint.

Compiled by FSE

Token-Filter

  • TeXFilter:[n x 3, sum, (, ), infty, frac, 1, sin, \ x 4, _, ^, =]
  • Presentation-MathML:[1, sin, ∑, n x 3, ∞, =]

MathML-Filter

mrow[msubsup[mo[∑];mrow[mi[n];mo[=];mn[1]];mi[∞]];mfrac[mrow[mi[sin];mfenced[mi[n]]];mi[n]]] apply[apply[csymbol[superscript];apply[csymbol[subscript];sum;apply[eq;ci[n];cn[1]]];infinity];apply[divide;apply[sin;ci[n]];ci[n]]]

Word filter

Keywords:[infinite, series, conditionally, convergent] Rendered Presentation-MathML: n=1sin(n)n

Results

Summary

Reviewer score 2

  • Items reviewd: 39
  • Accumulated score: -9215551
  • Formulasearchengine found: 18

Reviewer score 0

  • Items reviewd: 61
  • Accumulated score: 1310773
  • Formulasearchengine found: 28
.
+++o
200000+0224
5000-2000000162642
<50000213354
03961100
50000000:0 200000:4 10000:45 5000:45

Short result list

Detailed results for reviewer score 2

Hit idp68704

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 3
  • Formulasearchengine score: 213540
  • Reference to collection: _PREFIX_/63/f025021.xhtml#idp68704
found all required tokens in TeX $\sum _{{n=1}}^{\infty}\frac{(-1)^{{n}}}{n},\quad\sum _{{n=1}}^{\infty}\frac{|\sin n|}{n}\quad\text{and}\quad\sum _{{n=1}}^{\infty}\frac{\sin(nx)}{n}$ at pos:4747(0%) Scoringfunction: ' + TeX_HIT_SCORE + 1.96875 * WORD_SCORE[infinite] + 2.0 * WORD_SCORE[series] + 1.75 * WORD_SCORE[ conditionally] + 1.875 * WORD_SCORE[ convergent] + 1.99609375 * TOKEN_SCORE[n] + 1.875 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.875 * TOKEN_SCORE[infty] + 1.875 * TOKEN_SCORE[frac] + 1.9375 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[sin] + 1.999969482421875 * TOKEN_SCORE[\] + 1.875 * TOKEN_SCORE[_] + 1.9375 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[=] =+100.0+1.96875*15.5564982098831+2.0*13.2791113129629+1.75*956.558082111132+1.875*155.947852800104+1.99609375*0.06672875812593+1.875*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.875*0.382802832581921+1.875*0.0366287198730455+1.9375*0.0102451205633244+1.75*2.85818152377079+1.999969482421875*5.92879328325965E-4+1.875*0.00257082788077282+1.9375*0.00338742677192689+1.875*2.678806489 = 213540.03176080782' final score ~ 213540 reviewer: xxx gave 2
Rendered MathML:
n=1(-1)nn,n=1|sinn|nandn=1sin(nx)nsuperscriptsubscriptn1superscript1nnsuperscriptsubscriptn1nnandsuperscriptsubscriptn1nxn\sum _{{n=1}}^{\infty}\frac{(-1)^{{n}}}{n},\quad\sum _{{n=1}}^{\infty}\frac{|\sin n|}{n}\quad\text{and}\quad\sum _{{n=1}}^{\infty}\frac{\sin(nx)}{n}
End of MathML
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Hit idp47392

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 4
  • Formulasearchengine score: 213334
  • Reference to collection: _PREFIX_/63/f025021.xhtml#idp47392
found all required tokens in TeX $\sum _{{n=1}}^{{\infty}}\frac{(-1)^{n}|\sin n|}{n}$ at pos:2316(0%) Scoringfunction: ' + TeX_HIT_SCORE + 1.96875 * WORD_SCORE[infinite] + 2.0 * WORD_SCORE[series] + 1.75 * WORD_SCORE[ conditionally] + 1.875 * WORD_SCORE[ convergent] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.5 * TOKEN_SCORE[(] + 1.5 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9375 * TOKEN_SCORE[\] + 1.5 * TOKEN_SCORE[_] + 1.75 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.96875*15.5564982098831+2.0*13.2791113129629+1.75*956.558082111132+1.875*155.947852800104+1.9375*0.06672875812593+1.5*0.450727438769192+1.5*0.00418257496311516+1.5*0.00417601612706465+1.5*0.382802832581921+1.5*0.0366287198730455+1.75*0.0102451205633244+1.5*2.85818152377079+1.9375*5.92879328325965E-4+1.5*0.00257082788077282+1.75*0.00338742677192689+1.5*2.678806489 = 213334.53534361624' final score ~ 213334 reviewer: xxx gave 2
Rendered MathML:
n=1(-1)n|sinn|nsuperscriptsubscriptn1superscript1nnn\sum _{{n=1}}^{{\infty}}\frac{(-1)^{n}|\sin n|}{n}
End of MathML
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Hit id61485

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 14
  • Formulasearchengine score: 40661
  • Reference to collection: _PREFIX_/8/f003003.xhtml#id61485
found all required tokens in TeX $\displaystyle=\displaystyle\frac{1}{12\pi^{2}}-\displaystyle\frac{{\bar{x}}^{2}}{4\pi^{4}}\sum _{{n=1}}^{{\infty}}\Big[1-n{\bar{x}}\Big({\rm ci}(n{\bar{x}})\sin(n{\bar{x}})$ at pos:119886(51%) Scoringfunction: ' + TeX_HIT_SCORE + 1.75 * WORD_SCORE[series] + 1.75 * WORD_SCORE[ convergent] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.875 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.75 * TOKEN_SCORE[frac] + 1.9375 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999923706054688 * TOKEN_SCORE[\] + 1.5 * TOKEN_SCORE[_] + 1.9375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.75*13.2791113129629+1.75*155.947852800104+1.9375*0.06672875812593+1.5*0.450727438769192+1.875*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.75*0.0366287198730455+1.9375*0.0102451205633244+1.5*2.85818152377079+1.9999923706054688*5.92879328325965E-4+1.5*0.00257082788077282+1.9375*0.00338742677192689+1.75*2.678806489 = 40661.26588876415' final score ~ 40661 reviewer: xxx gave 2
Rendered MathML:
=112π2-x¯24π4n=1[1-nx¯(ci(nx¯)sin(nx¯)\displaystyle=\displaystyle\frac{1}{12\pi^{2}}-\displaystyle\frac{{\bar{x}}^{2}}{4\pi^{4}}\sum _{{n=1}}^{{\infty}}\Big[1-n{\bar{x}}\Big({\rm ci}(n{\bar{x}})\sin(n{\bar{x}})
End of MathML
.

Hit id90394

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 20
  • Formulasearchengine score: 39352
  • Reference to collection: _PREFIX_/33/f013025.xhtml#id90394
found all required tokens in TeX $\displaystyle+2i\sum _{{n=1}}^{\infty}\frac{(-1)^{n}}{n}\frac{\sin^{2}\frac{\pi in}{\beta}(Q_{b}/2-\alpha)}{\sin\frac{\pi n}{\beta^{2}}}$ at pos:572783(80%) Scoringfunction: ' + TeX_HIT_SCORE + 1.875 * WORD_SCORE[infinite] + 1.5 * WORD_SCORE[series] + 1.5 * WORD_SCORE[ convergent] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.9375 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[sin] + 1.99993896484375 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.9375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.875*15.5564982098831+1.5*13.2791113129629+1.5*155.947852800104+1.9375*0.06672875812593+1.5*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.9375*0.0366287198730455+1.75*0.0102451205633244+1.75*2.85818152377079+1.99993896484375*5.92879328325965E-4+1.75*0.00257082788077282+1.9375*0.00338742677192689+1.5*2.678806489 = 39352.426253990554' final score ~ 39352 reviewer: xxx gave 2
Rendered MathML:
+2in=1-1nnsin2πinβQb/2-αsinπnβ22isuperscriptsubscriptn1superscript1nnsuperscript2πinβsubscriptQb2απnsuperscriptβ2\displaystyle+2i\sum _{{n=1}}^{\infty}\frac{(-1)^{n}}{n}\frac{\sin^{2}\frac{\pi in}{\beta}(Q_{b}/2-\alpha)}{\sin\frac{\pi n}{\beta^{2}}}
End of MathML
.

Hit id95585

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 21
  • Formulasearchengine score: 39347
  • Reference to collection: _PREFIX_/33/f013025.xhtml#id95585
found all required tokens in TeX $\frac{\vartheta _{1}^{{\prime}}(y,\tau)}{\vartheta _{1}(y,\tau)}\ =\ \pi\cot\pi y+4\pi\sum _{{n=1}}^{\infty}\,\frac{q^{{2n}}}{1-q^{{2n}}}\sin 2\pi ny\ \ $ at pos:653904(92%) Scoringfunction: ' + TeX_HIT_SCORE + 1.875 * WORD_SCORE[infinite] + 1.5 * WORD_SCORE[series] + 1.5 * WORD_SCORE[ convergent] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.75 * TOKEN_SCORE[frac] + 1.9375 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999990463256836 * TOKEN_SCORE[\] + 1.875 * TOKEN_SCORE[_] + 1.9375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.875*15.5564982098831+1.5*13.2791113129629+1.5*155.947852800104+1.875*0.06672875812593+1.5*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.75*0.0366287198730455+1.9375*0.0102451205633244+1.5*2.85818152377079+1.9999990463256836*5.92879328325965E-4+1.875*0.00257082788077282+1.9375*0.00338742677192689+1.75*2.678806489 = 39347.062269806556' final score ~ 39347 reviewer: xxx gave 2
Rendered MathML:
ϑ1y,τϑ1y,τ=πcotπy+4πn=1q2n1-q2nsin2πnysuperscriptsubscriptϑ1yτsubscriptϑ1yτππy4πsuperscriptsubscriptn1superscriptq2n1superscriptq2n2πny\frac{\vartheta _{1}^{{\prime}}(y,\tau)}{\vartheta _{1}(y,\tau)}\ =\ \pi\cot\pi y+4\pi\sum _{{n=1}}^{\infty}\,\frac{q^{{2n}}}{1-q^{{2n}}}\sin 2\pi ny\ \
End of MathML
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Hit id90799

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 22
  • Formulasearchengine score: 39281
  • Reference to collection: _PREFIX_/33/f013025.xhtml#id90799
found all required tokens in TeX $\ln\Upsilon _{b}(\alpha)\,\sim\,\ln Y_{\beta}(\alpha)-\frac{\pi i}{2}\,\left(\frac{Q_{b}}{2}-\alpha\right)^{2}-i\sum _{{n=1}}^{{\infty}}\frac{1}{n}\,\sin\frac{2\pi ni\alpha}{\beta}+\frac{1}{n}\,\cot\frac{\pi n}{\beta^{2}}\,\cos\frac{2\pi ni\alpha}{\beta}$ at pos:579374(81%) Scoringfunction: ' + TeX_HIT_SCORE + 1.875 * WORD_SCORE[infinite] + 1.5 * WORD_SCORE[series] + 1.5 * WORD_SCORE[ convergent] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.875 * TOKEN_SCORE[(] + 1.875 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.9921875 * TOKEN_SCORE[frac] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.999999999992724 * TOKEN_SCORE[\] + 1.9375 * TOKEN_SCORE[_] + 1.875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.875*15.5564982098831+1.5*13.2791113129629+1.5*155.947852800104+1.9375*0.06672875812593+1.5*0.450727438769192+1.875*0.00418257496311516+1.875*0.00417601612706465+1.5*0.382802832581921+1.9921875*0.0366287198730455+1.875*0.0102451205633244+1.5*2.85818152377079+1.999999999992724*5.92879328325965E-4+1.9375*0.00257082788077282+1.875*0.00338742677192689+1.5*2.678806489 = 39281.43161082784' final score ~ 39281 reviewer: xxx gave 2
Rendered MathML:
lnΥbαlnYβα-πi2Qb2-α2-in=11nsin2πniαβ+1ncotπnβ2cos2πniαβsubscriptΥbαsubscriptYβαπi2superscriptsubscriptQb2α2isuperscriptsubscriptn11n2πniαβ1nπnsuperscriptβ22πniαβ\ln\Upsilon _{b}(\alpha)\,\sim\,\ln Y_{\beta}(\alpha)-\frac{\pi i}{2}\,\left(\frac{Q_{b}}{2}-\alpha\right)^{2}-i\sum _{{n=1}}^{{\infty}}\frac{1}{n}\,\sin\frac{2\pi ni\alpha}{\beta}+\frac{1}{n}\,\cot\frac{\pi n}{\beta^{2}}\,\cos\frac{2\pi ni\alpha}{\beta}
End of MathML
.

Hit id55170

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 25
  • Formulasearchengine score: 37055
  • Reference to collection: _PREFIX_/3/f000870.xhtml#id55170
found all required tokens in TeX $\zeta(z,q)=\frac{2\Gamma(1-z)}{(2\pi)^{{1-z}}}\;\left[\sin\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{\cos(2\pi qn)}{n^{{1-z}}}+\cos\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{\sin(2\pi qn)}{n^{{1-z}}}\right].$ at pos:24178(3%) Scoringfunction: ' + TeX_HIT_SCORE + 1.875 * WORD_SCORE[series] + 1.5 * WORD_SCORE[ convergent] + 1.9375 * TOKEN_SCORE[n] + 1.75 * TOKEN_SCORE[sum] + 1.9921875 * TOKEN_SCORE[(] + 1.9921875 * TOKEN_SCORE[)] + 1.75 * TOKEN_SCORE[infty] + 1.96875 * TOKEN_SCORE[frac] + 1.984375 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[sin] + 1.9999999925494194 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.96875 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[=] =+100.0+1.875*13.2791113129629+1.5*155.947852800104+1.9375*0.06672875812593+1.75*0.450727438769192+1.9921875*0.00418257496311516+1.9921875*0.00417601612706465+1.75*0.382802832581921+1.96875*0.0366287198730455+1.984375*0.0102451205633244+1.75*2.85818152377079+1.9999999925494194*5.92879328325965E-4+1.75*0.00257082788077282+1.96875*0.00338742677192689+1.875*2.678806489 = 37055.410622712494' final score ~ 37055 reviewer: xxx gave 2
Rendered MathML:
ζz,q=2Γ1-z2π1-zsinπz2n=1cos2πqnn1-z+cosπz2n=1sin2πqnn1-z.ζzq2Γ1zsuperscript2π1zπz2superscriptsubscriptn12πqnsuperscriptn1zπz2superscriptsubscriptn12πqnsuperscriptn1z\zeta(z,q)=\frac{2\Gamma(1-z)}{(2\pi)^{{1-z}}}\;\left[\sin\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{\cos(2\pi qn)}{n^{{1-z}}}+\cos\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{\sin(2\pi qn)}{n^{{1-z}}}\right].
End of MathML
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Hit id63712

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 28
  • Formulasearchengine score: 16746
  • Reference to collection: _PREFIX_/184/f073229.xhtml#id63712
found all required tokens in TeX $\displaystyle 4\frac{v}{\pi}\sum _{{n=0}}^{\infty}\frac{1}{2n+1}\sin\frac{2\pi}{T}(2n+1)t.$ at pos:151637(10%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[infinite] + 1.99993896484375 * WORD_SCORE[series] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.5 * TOKEN_SCORE[(] + 1.5 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.875 * TOKEN_SCORE[frac] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.998046875 * TOKEN_SCORE[\] + 1.5 * TOKEN_SCORE[_] + 1.5 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+2.0*15.5564982098831+1.99993896484375*13.2791113129629+1.875*0.06672875812593+1.5*0.450727438769192+1.5*0.00418257496311516+1.5*0.00417601612706465+1.5*0.382802832581921+1.875*0.0366287198730455+1.875*0.0102451205633244+1.5*2.85818152377079+1.998046875*5.92879328325965E-4+1.5*0.00257082788077282+1.5*0.00338742677192689+1.5*2.678806489 = 16746.18507208489' final score ~ 16746 reviewer: xxx gave 2
Rendered MathML:
4vπn=012n+1sin2πT2n+1t.4vπsuperscriptsubscriptn012n12πT2n1t\displaystyle 4\frac{v}{\pi}\sum _{{n=0}}^{\infty}\frac{1}{2n+1}\sin\frac{2\pi}{T}(2n+1)t.
End of MathML
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Hit id85890

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 30
  • Formulasearchengine score: 16467
  • Reference to collection: _PREFIX_/166/f066387.xhtml#id85890
found all required tokens in TeX $P(x,t)=\sum _{{n=1}}^{{\infty}}p_{n}(t)\sin\frac{n\pi x}{L}$ at pos:508517(89%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9921875 * WORD_SCORE[infinite] + 1.75 * WORD_SCORE[series] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.96875 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.5 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.9921875*15.5564982098831+1.75*13.2791113129629+1.875*0.06672875812593+1.5*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.5*0.0366287198730455+1.5*0.0102451205633244+1.5*2.85818152377079+1.96875*5.92879328325965E-4+1.75*0.00257082788077282+1.5*0.00338742677192689+1.75*2.678806489 = 16467.618716029476' final score ~ 16467 reviewer: xxx gave 2
Rendered MathML:
Px,t=n=1pntsinnπxLPxtsuperscriptsubscriptn1subscriptpntnπxLP(x,t)=\sum _{{n=1}}^{{\infty}}p_{n}(t)\sin\frac{n\pi x}{L}
End of MathML
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Hit id57484

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 31
  • Formulasearchengine score: 16254
  • Reference to collection: _PREFIX_/38/f014870.xhtml#id57484
found all required tokens in TeX $u(x)=\sum _{{n=1}}^{\infty}n\gamma _{n}\sin nx$ at pos:61977(3%) Scoringfunction: ' + TeX_HIT_SCORE + 1.75 * WORD_SCORE[infinite] + 1.875 * WORD_SCORE[series] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.5 * TOKEN_SCORE[(] + 1.5 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.0 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9375 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.5 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.75*15.5564982098831+1.875*13.2791113129629+1.875*0.06672875812593+1.5*0.450727438769192+1.5*0.00418257496311516+1.5*0.00417601612706465+1.5*0.382802832581921+1.0*0.0366287198730455+1.5*0.0102451205633244+1.5*2.85818152377079+1.9375*5.92879328325965E-4+1.75*0.00257082788077282+1.5*0.00338742677192689+1.75*2.678806489 = 16254.806412902102' final score ~ 16254 reviewer: xxx gave 2
Rendered MathML:
ux=n=1nγnsinnxuxsuperscriptsubscriptn1nsubscriptγnnxu(x)=\sum _{{n=1}}^{\infty}n\gamma _{n}\sin nx
End of MathML
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Hit id136204

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 34
  • Formulasearchengine score: 16148
  • Reference to collection: _PREFIX_/8/f003179.xhtml#id136204
found all required tokens in TeX $\langle\Omega _{{\rm pt}}|u\left(x_{{\perp}}\right)|\Omega _{{\rm pt}}\rangle=\frac{2m^{{2}}}{\pi^{{2}}}\sum _{{n=1}}^{{\infty}}\frac{\sin 2\pi n\alpha}{n}K_{{2}}(nmL)\ .$ at pos:1296779(88%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9999999701976776 * WORD_SCORE[infinite] + 1.5 * WORD_SCORE[series] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.75 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999961853027344 * TOKEN_SCORE[\] + 1.96875 * TOKEN_SCORE[_] + 1.875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.9999999701976776*15.5564982098831+1.5*13.2791113129629+1.875*0.06672875812593+1.5*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.75*0.0366287198730455+1.5*0.0102451205633244+1.5*2.85818152377079+1.9999961853027344*5.92879328325965E-4+1.96875*0.00257082788077282+1.875*0.00338742677192689+1.75*2.678806489 = 16148.895236952296' final score ~ 16148 reviewer: xxx gave 2
Rendered MathML:
ΩptuxΩpt=2m2π2n=1sin2πnαnK2nmL.subscriptΩptusubscriptxsubscriptΩpt2superscriptm2superscriptπ2superscriptsubscriptn12πnαnsubscriptK2nmL\langle\Omega _{{\rm pt}}|u\left(x_{{\perp}}\right)|\Omega _{{\rm pt}}\rangle=\frac{2m^{{2}}}{\pi^{{2}}}\sum _{{n=1}}^{{\infty}}\frac{\sin 2\pi n\alpha}{n}K_{{2}}(nmL)\ .
End of MathML
.

Hit id78887

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 36
  • Formulasearchengine score: 15368
  • Reference to collection: _PREFIX_/7/f002498.xhtml#id78887
found all required tokens in TeX $u(x,\zeta)=\sum _{{n=1}}^{\infty}n\gamma _{n}(\zeta)\sin nx$ at pos:393526(75%) Scoringfunction: ' + TeX_HIT_SCORE + 1.5 * WORD_SCORE[infinite] + 1.5 * WORD_SCORE[series] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.0 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.984375 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.5 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.5*15.5564982098831+1.5*13.2791113129629+1.875*0.06672875812593+1.5*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.0*0.0366287198730455+1.5*0.0102451205633244+1.5*2.85818152377079+1.984375*5.92879328325965E-4+1.75*0.00257082788077282+1.5*0.00338742677192689+1.75*2.678806489 = 15368.139027318022' final score ~ 15368 reviewer: xxx gave 2
Rendered MathML:
ux,ζ=n=1nγnζsinnxuxζsuperscriptsubscriptn1nsubscriptγnζnxu(x,\zeta)=\sum _{{n=1}}^{\infty}n\gamma _{n}(\zeta)\sin nx
End of MathML
.

Hit id106424

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 37
  • Formulasearchengine score: 15311
  • Reference to collection: _PREFIX_/166/f066032.xhtml#id106424
found all required tokens in TeX $\displaystyle\displaystyle{\sum _{{n=-\infty}}^{{\infty}}\frac{\sin\xi _{{n}}}{\xi _{{n}}}}$ at pos:816819(63%) Scoringfunction: ' + TeX_HIT_SCORE + 1.5 * WORD_SCORE[infinite] + 1.5 * WORD_SCORE[series] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.0 * TOKEN_SCORE[(] + 1.0 * TOKEN_SCORE[)] + 1.75 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.0 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.998046875 * TOKEN_SCORE[\] + 1.875 * TOKEN_SCORE[_] + 1.5 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.5*15.5564982098831+1.5*13.2791113129629+1.875*0.06672875812593+1.5*0.450727438769192+1.0*0.00418257496311516+1.0*0.00417601612706465+1.75*0.382802832581921+1.5*0.0366287198730455+1.0*0.0102451205633244+1.5*2.85818152377079+1.998046875*5.92879328325965E-4+1.875*0.00257082788077282+1.5*0.00338742677192689+1.5*2.678806489 = 15311.464167467007' final score ~ 15311 reviewer: xxx gave 2
Rendered MathML:
n=-sinξnξnsuperscriptsubscriptnsubscriptξnsubscriptξn\displaystyle\displaystyle{\sum _{{n=-\infty}}^{{\infty}}\frac{\sin\xi _{{n}}}{\xi _{{n}}}}
End of MathML
.

Hit id126916

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 42
  • Formulasearchengine score: 13756
  • Reference to collection: _PREFIX_/184/f073230.xhtml#id126916
found all required tokens in TeX $\displaystyle\mathop{\rm Li}\nolimits _{n}(e^{{2\pi qi}})=\sum\limits _{{k=1}}^{\infty}{\frac{{\cos(2\pi kq)}}{{k^{n}}}}+i\sum\limits _{{k=1}}^{\infty}{\frac{{\sin(2\pi kq)}}{{k^{n}}}},\quad 0\leq q<1,$ at pos:1098969(57%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9999990463256836 * WORD_SCORE[series] + 1.875 * TOKEN_SCORE[n] + 1.75 * TOKEN_SCORE[sum] + 1.875 * TOKEN_SCORE[(] + 1.875 * TOKEN_SCORE[)] + 1.75 * TOKEN_SCORE[infty] + 1.75 * TOKEN_SCORE[frac] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999980926513672 * TOKEN_SCORE[\] + 1.875 * TOKEN_SCORE[_] + 1.96875 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[=] =+100.0+1.9999990463256836*13.2791113129629+1.875*0.06672875812593+1.75*0.450727438769192+1.875*0.00418257496311516+1.875*0.00417601612706465+1.75*0.382802832581921+1.75*0.0366287198730455+1.875*0.0102451205633244+1.5*2.85818152377079+1.9999980926513672*5.92879328325965E-4+1.875*0.00257082788077282+1.96875*0.00338742677192689+1.875*2.678806489 = 13756.36960862478' final score ~ 13756 reviewer: xxx gave 2
Rendered MathML:
Line2πqi=k=1cos2πkqkn+ik=1sin2πkqkn,0q<1,subscriptLinsuperscripte2πqisuperscriptsubscriptk12πkqsuperscriptknisuperscriptsubscriptk12πkqsuperscriptkn0q1\displaystyle\mathop{\rm Li}\nolimits _{n}(e^{{2\pi qi}})=\sum\limits _{{k=1}}^{\infty}{\frac{{\cos(2\pi kq)}}{{k^{n}}}}+i\sum\limits _{{k=1}}^{\infty}{\frac{{\sin(2\pi kq)}}{{k^{n}}}},\quad 0\leq q<1,
End of MathML
.

Hit idp374752

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 43
  • Formulasearchengine score: 13659
  • Reference to collection: _PREFIX_/207/f082785.xhtml#idp374752
found all required tokens in TeX ${\rm Cl}_{2}(\theta)=\sum _{{n=1}}^{\infty}\frac{\sin(n\theta)}{n^{2}}$ at pos:41042(13%) Scoringfunction: ' + TeX_HIT_SCORE + 1.96875 * WORD_SCORE[series] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9921875 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.75 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.96875*13.2791113129629+1.875*0.06672875812593+1.5*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.5*0.0366287198730455+1.5*0.0102451205633244+1.5*2.85818152377079+1.9921875*5.92879328325965E-4+1.75*0.00257082788077282+1.75*0.00338742677192689+1.75*2.678806489 = 13659.039223480619' final score ~ 13659 reviewer: xxx gave 2
Rendered MathML:
Cl2θ=n=1sinnθn2subscriptCl2θsuperscriptsubscriptn1nθsuperscriptn2{\rm Cl}_{2}(\theta)=\sum _{{n=1}}^{\infty}\frac{\sin(n\theta)}{n^{2}}
End of MathML
.

Hit id130810

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 44
  • Formulasearchengine score: 13634
  • Reference to collection: _PREFIX_/184/f073230.xhtml#id130810
found all required tokens in TeX $\displaystyle\sum _{{n=0}}^{{\infty}}\frac{(-1)^{{n}}\sin(2n+1)x}{(2n+1)^{{N}}},\; N\in\mathbb{N}_{{0}},$ at pos:1158493(60%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9999990463256836 * WORD_SCORE[series] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.875 * TOKEN_SCORE[(] + 1.875 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.99609375 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.9999990463256836*13.2791113129629+1.9375*0.06672875812593+1.5*0.450727438769192+1.875*0.00418257496311516+1.875*0.00417601612706465+1.5*0.382802832581921+1.5*0.0366287198730455+1.875*0.0102451205633244+1.5*2.85818152377079+1.99609375*5.92879328325965E-4+1.75*0.00257082788077282+1.875*0.00338742677192689+1.5*2.678806489 = 13634.513321290064' final score ~ 13634 reviewer: xxx gave 2
Rendered MathML:
n=0-1nsin2n+1x2n+1N,NN0,superscriptsubscriptn0superscript1n2n1xsuperscript2n1NNsubscriptN0\displaystyle\sum _{{n=0}}^{{\infty}}\frac{(-1)^{{n}}\sin(2n+1)x}{(2n+1)^{{N}}},\; N\in\mathbb{N}_{{0}},
End of MathML
.

Hit id143998

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 45
  • Formulasearchengine score: 13633
  • Reference to collection: _PREFIX_/184/f073230.xhtml#id143998
found all required tokens in TeX $\displaystyle\sum _{{n=1}}^{{\infty}}\frac{\sin 2\pi(2n+1)q}{2n+1}$ at pos:1359028(70%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9999990463256836 * WORD_SCORE[series] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.5 * TOKEN_SCORE[(] + 1.5 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.984375 * TOKEN_SCORE[\] + 1.5 * TOKEN_SCORE[_] + 1.5 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.9999990463256836*13.2791113129629+1.875*0.06672875812593+1.5*0.450727438769192+1.5*0.00418257496311516+1.5*0.00417601612706465+1.5*0.382802832581921+1.5*0.0366287198730455+1.875*0.0102451205633244+1.5*2.85818152377079+1.984375*5.92879328325965E-4+1.5*0.00257082788077282+1.5*0.00338742677192689+1.5*2.678806489 = 13633.590825404463' final score ~ 13633 reviewer: xxx gave 2
Rendered MathML:
n=1sin2π2n+1q2n+1superscriptsubscriptn12π2n1q2n1\displaystyle\sum _{{n=1}}^{{\infty}}\frac{\sin 2\pi(2n+1)q}{2n+1}
End of MathML
.

Hit id113420

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 46
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/228/f090991.xhtml#id113420
no match at pos:905950(000077%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
n=1sinπnxn=π21-x,x0,2,superscriptsubscriptn1πnxnπ21xx02
End of MathML
.

Hit id113657

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 47
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/228/f090991.xhtml#id113657
no match at pos:909610(000077%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
n=1νnnsinπnxsuperscriptsubscriptn1subscriptνnnπnx
End of MathML
.

Hit id114885

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 48
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/58/f022984.xhtml#id114885
no match at pos:940303(000092%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
Pcotk2=n=1bnsinnkPk2superscriptsubscriptn1subscriptbnnk
End of MathML
.

Hit id125586

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 49
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/184/f073230.xhtml#id125586
no match at pos:1078393(000056%) VariableMap:[geq, kx, n x 2, sum, k x 2, infty, ,, frac, 2, 1 x 2, quad, displaystyle, sin, \ x 7, _, ^ x 2, =] Expects 3 occurences for 'n' but has only 2 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
k=1sinkxk2n,n1superscriptsubscriptk1kxsuperscriptk2nn1\displaystyle\sum _{{k=1}}^{{\infty}}\frac{\sin kx}{k^{{2n}}},\quad n\geq 1
End of MathML
.

Hit id128503

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 50
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/172/f068443.xhtml#id128503
no match at pos:1161835(000089%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
n=1sin2πηnπn4superscriptsubscriptn12πηnsuperscriptπn4
End of MathML
.

Hit id131258

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 51
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/92/f036738.xhtml#id131258
no match at pos:1219332(000096%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
n,n=1einune-invnbn,bn=limη0n=1einu-v+iη/nsubscriptsuperscriptnsuperscriptn1superscripteinunsuperscripteisuperscriptnvsuperscriptnsubscriptbnsuperscriptsubscriptbsuperscriptnsubscriptη0subscriptsuperscriptn1superscripteinuviηn
End of MathML
.

Hit id139968

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 52
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/138/f055119.xhtml#id139968
no match at pos:1326440(000094%) VariableMap:[n x 2, sum, ( x 2, ) x 2, j x 2, /, in, infty, exp, 1, sigma, alpha, \ x 5, _ x 2, ^ x 2, = x 2] Expects 3 occurences for 'n' but has only 2 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for 'sin' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
αj=n=1expinσj/nsuperscriptαjsuperscriptsubscriptn1insubscriptσjn\alpha^{{(j)}}=\sum _{{n=1}}^{{\infty}}\exp(in\sigma _{j})/n
End of MathML
.

Hit id162750

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 53
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/173/f068957.xhtml#id162750
no match at pos:1677977(000089%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
Cl2x=-0xdylog2siny2=n=1sinnxn2subscriptCl2xsuperscriptsubscript0xdy2y2superscriptsubscriptn1nxsuperscriptn2
End of MathML
.

Hit id184711

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 54
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/81/f032299.xhtml#id184711
no match at pos:1998767(000095%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
ψt=-n=1nansinntsuperscriptψtsuperscriptsubscriptn1nsubscriptannt
End of MathML
.

Hit id57986

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 55
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/42/f016660.xhtml#id57986
no match at pos:66511(000017%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
1πRn=1ηnxsinnyR,1πRsuperscriptsubscriptn1subscriptηnxnyR
End of MathML
.

Hit id59562

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 56
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/181/f072138.xhtml#id59562
no match at pos:99453(000088%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
IΦ=n=1InsinnΦIΦsuperscriptsubscriptn1subscriptInnΦ
End of MathML
.

Hit id66003

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 57
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/233/f092958.xhtml#id66003
no match at pos:201886(000027%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
limx0+n=1sinnxn=π2.subscriptxsuperscript0superscriptsubscriptn1nxnπ2
End of MathML
.

Hit id70854

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 58
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/88/f034979.xhtml#id70854
no match at pos:268397(000071%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
Pη+2π2n=1sinπηnnPη2superscriptπ2superscriptsubscriptn1πηnn
End of MathML
.

Hit id77058

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 59
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/249/f099205.xhtml#id77058
no match at pos:348663(000033%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
n=11ne-nz-11xe-xzdxsuperscriptsubscriptn11nsuperscriptenzsuperscriptsubscript11xsuperscriptexzdx
End of MathML
.

Hit id78346

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 60
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/3/f000870.xhtml#id78346
no match at pos:369921(000041%) VariableMap:[geq, kx, n x 2, sum, k x 2, infty, ,, frac, 2, 1 x 2, displaystyle, sin, ;, \ x 7, _, ^ x 2, =] Expects 3 occurences for 'n' but has only 2 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
k=1sinkxk2n,n1superscriptsubscriptk1kxsuperscriptk2nn1\displaystyle\sum _{{k=1}}^{{\infty}}\frac{\sin kx}{k^{{2n}}},\; n\geq 1
End of MathML
.

Hit id80243

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 61
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/23/f009084.xhtml#id80243
no match at pos:398471(000052%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
qt=n=1rn2sinnπtqtsuperscriptsubscriptn1subscriptrn2nπt
End of MathML
.

Hit id83943

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 62
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/22/f008696.xhtml#id83943
no match at pos:451478(000058%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
Cl2θ=n=1sinnθn2Csubscriptl2θsubscriptsuperscriptn1nθsuperscriptn2
End of MathML
.

Hit id86025

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 63
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/134/f053416.xhtml#id86025
no match at pos:508318(000051%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
Iv2πEn=1sinπ2nνuensubscriptIv2πEsuperscriptsubscriptn1π2nsuperscriptsubscriptνuen
End of MathML
.

Hit id87067

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 64
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/179/f071341.xhtml#id87067
no match at pos:506515(000091%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
Sx=x-x-1/2=-n=1sin2πnxπn.Sxxx12superscriptsubscriptn12πnxπn
End of MathML
.

Hit id94586

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 65
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/88/f035049.xhtml#id94586
no match at pos:619933(000092%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
gε8βn=1sin2νnενn2=2ε1-2εβ,subscriptgε8βsuperscriptsubscriptn1superscript2subscriptνnεsuperscriptsubscriptνn22ε12εβ
End of MathML
.

Hit id95627

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 66
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/82/f032658.xhtml#id95627
no match at pos:655741(000088%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
-1ρ/2n=1sinnqn,superscript1ρ2superscriptsubscriptn1nqn
End of MathML
.

Hit id81112

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 100
  • Formulasearchengine score: -9989097
  • Reference to collection: _PREFIX_/224/f089445.xhtml#id81112
found all required tokens in TeX $P(y)=\sum _{{n=1}}^{{\infty}}\frac{1}{n}\cos\frac{\pi n}{\tau}y$ at pos:425857(81%) Scoringfunction: ' + TeX_HIT_SCORE + NO_TEXT_FOUND + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.5 * TOKEN_SCORE[(] + 1.5 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.75 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[sin] + 1.9921875 * TOKEN_SCORE[\] + 1.5 * TOKEN_SCORE[_] + 1.5 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+-100000.0+1.875*0.06672875812593+1.5*0.450727438769192+1.5*0.00418257496311516+1.5*0.00417601612706465+1.5*0.382802832581921+1.75*0.0366287198730455+1.75*0.0102451205633244+1.0*2.85818152377079+1.9921875*5.92879328325965E-4+1.5*0.00257082788077282+1.5*0.00338742677192689+1.75*2.678806489 = -9989097.38096758' final score ~ -9989097 reviewer: xxx gave 2
Rendered MathML:
Py=n=11ncosπnτyPysuperscriptsubscriptn11nπnτyP(y)=\sum _{{n=1}}^{{\infty}}\frac{1}{n}\cos\frac{\pi n}{\tau}y
End of MathML
.

Detailed results for reviewer score 0

Hit id59490

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 1
  • Formulasearchengine score: 232223
  • Reference to collection: _PREFIX_/51/f020145.xhtml#id59490
found all required tokens in TeX $\displaystyle\frac{1}{\pi}\sum\limits _{{n=1}}^{\infty}\alpha _{n}\!\int _{{0}}^{{b_{n}}}\!\!\left\{\sin\left[(|m-n|+r_{n})x\right]-\sin\left[(|m-n|-r_{n})x\right]\right\}\frac{dx}{x}.$ at pos:90857(25%) Scoringfunction: ' + TeX_HIT_SCORE + 1.984375 * WORD_SCORE[series] + 1.96875 * WORD_SCORE[ conditionally] + 1.9375 * WORD_SCORE[ convergent] + 1.9921875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.75 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[sin] + 1.999999761581421 * TOKEN_SCORE[\] + 1.984375 * TOKEN_SCORE[_] + 1.75 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.984375*13.2791113129629+1.96875*956.558082111132+1.9375*155.947852800104+1.9921875*0.06672875812593+1.5*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.75*0.0366287198730455+1.75*0.0102451205633244+1.75*2.85818152377079+1.999999761581421*5.92879328325965E-4+1.984375*0.00257082788077282+1.75*0.00338742677192689+1.5*2.678806489 = 232223.55564702215' final score ~ 232223 reviewer: xxx gave 0
Rendered MathML:
1πn=1αn0bnsinm-n+rnx-sinm-n-rnxdxx.1πsuperscriptsubscriptn1subscriptαnsuperscriptsubscript0subscriptbnmnsubscriptrnxmnsubscriptrnxdxx\displaystyle\frac{1}{\pi}\sum\limits _{{n=1}}^{\infty}\alpha _{n}\!\int _{{0}}^{{b_{n}}}\!\!\left\{\sin\left[(|m-n|+r_{n})x\right]-\sin\left[(|m-n|-r_{n})x\right]\right\}\frac{dx}{x}.
End of MathML
.

Hit id59164

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 2
  • Formulasearchengine score: 232152
  • Reference to collection: _PREFIX_/51/f020145.xhtml#id59164
found all required tokens in TeX $\displaystyle\frac{1}{\pi}\sum\limits _{{n=1}}^{\infty}\alpha _{n}\int _{{-b_{n}}}^{{b_{n}}}e^{{i(m-n)x}}\sin(r_{n}x)\,\frac{dx}{x}$ at pos:85634(24%) Scoringfunction: ' + TeX_HIT_SCORE + 1.984375 * WORD_SCORE[series] + 1.96875 * WORD_SCORE[ conditionally] + 1.9375 * WORD_SCORE[ convergent] + 1.984375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.75 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.99951171875 * TOKEN_SCORE[\] + 1.984375 * TOKEN_SCORE[_] + 1.875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.984375*13.2791113129629+1.96875*956.558082111132+1.9375*155.947852800104+1.984375*0.06672875812593+1.5*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.75*0.0366287198730455+1.75*0.0102451205633244+1.5*2.85818152377079+1.99951171875*5.92879328325965E-4+1.984375*0.00257082788077282+1.875*0.00338742677192689+1.5*2.678806489 = 232152.09129098518' final score ~ 232152 reviewer: xxx gave 0
Rendered MathML:
1πn=1αn-bnbneim-nxsinrnxdxx1πsuperscriptsubscriptn1subscriptαnsuperscriptsubscriptsubscriptbnsubscriptbnsuperscripteimnxsubscriptrnxdxx\displaystyle\frac{1}{\pi}\sum\limits _{{n=1}}^{\infty}\alpha _{n}\int _{{-b_{n}}}^{{b_{n}}}e^{{i(m-n)x}}\sin(r_{n}x)\,\frac{dx}{x}
End of MathML
.

Hit id72736

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 5
  • Formulasearchengine score: 47610
  • Reference to collection: _PREFIX_/26/f010080.xhtml#id72736
found all required tokens in TeX $\Delta E_{a}^{{{\rm SE}}}(B)=\frac{\alpha}{\pi}\sum _{{n(B)}}\left(\frac{1-\vec{\alpha}_{1}\vec{\alpha}_{2}}{r_{{12}}}\int _{0}^{{\infty}}\frac{\sin(\kappa r_{{12}})\, d\kappa}{\kappa-E_{n}(1-i0)+E_{a}}\right)_{{a(B)n(B)n(B)a(B)}}-\delta m_{a}(B),$ at pos:301330(54%) Scoringfunction: ' + TeX_HIT_SCORE + 1.875 * WORD_SCORE[infinite] + 1.9921875 * WORD_SCORE[series] + 1.9921875 * WORD_SCORE[ convergent] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.9990234375 * TOKEN_SCORE[(] + 1.9990234375 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.875 * TOKEN_SCORE[frac] + 1.96875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.999999761581421 * TOKEN_SCORE[\] + 1.99951171875 * TOKEN_SCORE[_] + 1.75 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.875*15.5564982098831+1.9921875*13.2791113129629+1.9921875*155.947852800104+1.9375*0.06672875812593+1.5*0.450727438769192+1.9990234375*0.00418257496311516+1.9990234375*0.00417601612706465+1.5*0.382802832581921+1.875*0.0366287198730455+1.96875*0.0102451205633244+1.5*2.85818152377079+1.999999761581421*5.92879328325965E-4+1.99951171875*0.00257082788077282+1.75*0.00338742677192689+1.5*2.678806489 = 47610.315321378854' final score ~ 47610 reviewer: xxx gave 0
Rendered MathML:
ΔEaSEB=απnB1-α1α2r120sinκr12dκκ-En1-i0+EaaBnBnBaB-δmaB,ΔsuperscriptsubscriptEaSEBαπsubscriptnBsubscript1subscriptα1subscriptα2subscriptr12superscriptsubscript0κsubscriptr12dκκsubscriptEn1i0subscriptEaaBnBnBaBδsubscriptmaB\Delta E_{a}^{{{\rm SE}}}(B)=\frac{\alpha}{\pi}\sum _{{n(B)}}\left(\frac{1-\vec{\alpha}_{1}\vec{\alpha}_{2}}{r_{{12}}}\int _{0}^{{\infty}}\frac{\sin(\kappa r_{{12}})\, d\kappa}{\kappa-E_{n}(1-i0)+E_{a}}\right)_{{a(B)n(B)n(B)a(B)}}-\delta m_{a}(B),
End of MathML
.

Hit id72569

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 6
  • Formulasearchengine score: 45514
  • Reference to collection: _PREFIX_/145/f057910.xhtml#id72569
found all required tokens in TeX $\displaystyle<x|e^{{-tL}}|x\geq\frac{2}{a(4\pi t)^{{\frac{D-1}{2}}}}\sum _{{n=1}}^{\infty}\sin^{2}\frac{n\pi x}{a}\:\exp{-\frac{n^{2}\pi^{2}\: t}{a^{2}})}\,.$ at pos:282441(69%) Scoringfunction: ' + TeX_HIT_SCORE + 1.75 * WORD_SCORE[infinite] + 1.9375 * WORD_SCORE[series] + 1.875 * WORD_SCORE[ convergent] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.5 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.9375 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999847412109375 * TOKEN_SCORE[\] + 1.5 * TOKEN_SCORE[_] + 1.9921875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.75*15.5564982098831+1.9375*13.2791113129629+1.875*155.947852800104+1.875*0.06672875812593+1.5*0.450727438769192+1.5*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.9375*0.0366287198730455+1.75*0.0102451205633244+1.5*2.85818152377079+1.9999847412109375*5.92879328325965E-4+1.5*0.00257082788077282+1.9921875*0.00338742677192689+1.5*2.678806489 = 45514.953726113534' final score ~ 45514 reviewer: xxx gave 0
Rendered MathML:
<x|e-tL|x2a4πtD-12n=1sin2nπxaexp-n2π2ta2).\displaystyle<x|e^{{-tL}}|x\geq\frac{2}{a(4\pi t)^{{\frac{D-1}{2}}}}\sum _{{n=1}}^{\infty}\sin^{2}\frac{n\pi x}{a}\:\exp{-\frac{n^{2}\pi^{2}\: t}{a^{2}})}\,.
End of MathML
.

Hit id59950

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 7
  • Formulasearchengine score: 44418
  • Reference to collection: _PREFIX_/9/f003223.xhtml#id59950
found all required tokens in TeX $\displaystyle f(\bar{x})=\displaystyle\frac{}{}\sum _{{n=1}}^{{\infty}}\displaystyle\frac{1}{n^{2}}{\Big(}{\rm ci}(n\bar{x})\cos(n\bar{x})+{\rm si}(n\bar{x})\sin(n\bar{x}){\Big)},~~~~~\bar{x}=\displaystyle\frac{\pi m^{2}}{\bar{\mu}^{2}},$ at pos:99026(74%) Scoringfunction: ' + TeX_HIT_SCORE + 1.984375 * WORD_SCORE[series] + 1.96875 * WORD_SCORE[ convergent] + 1.984375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.984375 * TOKEN_SCORE[(] + 1.984375 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.875 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999999403953552 * TOKEN_SCORE[\] + 1.5 * TOKEN_SCORE[_] + 1.9375 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[=] =+100.0+1.984375*13.2791113129629+1.96875*155.947852800104+1.984375*0.06672875812593+1.5*0.450727438769192+1.984375*0.00418257496311516+1.984375*0.00417601612706465+1.5*0.382802832581921+1.875*0.0366287198730455+1.75*0.0102451205633244+1.5*2.85818152377079+1.9999999403953552*5.92879328325965E-4+1.5*0.00257082788077282+1.9375*0.00338742677192689+1.875*2.678806489 = 44418.06159805849' final score ~ 44418 reviewer: xxx gave 0
Rendered MathML:
fx¯=n=11n2cinx¯cosnx¯+sinx¯sinnx¯,x¯=πm2μ¯2,f¯xsuperscriptsubscriptn11superscriptn2cin¯xn¯xsin¯xn¯x¯xπsuperscriptm2superscript¯μ2\displaystyle f(\bar{x})=\displaystyle\frac{}{}\sum _{{n=1}}^{{\infty}}\displaystyle\frac{1}{n^{2}}{\Big(}{\rm ci}(n\bar{x})\cos(n\bar{x})+{\rm si}(n\bar{x})\sin(n\bar{x}){\Big)},~~~~~\bar{x}=\displaystyle\frac{\pi m^{2}}{\bar{\mu}^{2}},
End of MathML
.

Hit id53303

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 8
  • Formulasearchengine score: 44318
  • Reference to collection: _PREFIX_/9/f003223.xhtml#id53303
found all required tokens in TeX $\displaystyle-\displaystyle\frac{1}{4\pi^{3}}ab\sum _{{n=1}}^{{\infty}}\displaystyle\frac{1}{n}{\Big[}\coth(\displaystyle\frac{n\pi b}{a}){\Big(}{\rm ci}(\displaystyle\frac{n\pi m^{2}}{a})\cos(\displaystyle\frac{n\pi m^{2}}{a})+{\rm si}(\displaystyle\frac{n\pi m^{2}}{a})\sin(\displaystyle\frac{n\pi m^{2}}{a}){\Big)}$ at pos:84052(63%) Scoringfunction: ' + TeX_HIT_SCORE + 1.984375 * WORD_SCORE[series] + 1.96875 * WORD_SCORE[ convergent] + 1.9921875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.984375 * TOKEN_SCORE[(] + 1.984375 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.9921875 * TOKEN_SCORE[frac] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999999995343387 * TOKEN_SCORE[\] + 1.5 * TOKEN_SCORE[_] + 1.984375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.984375*13.2791113129629+1.96875*155.947852800104+1.9921875*0.06672875812593+1.5*0.450727438769192+1.984375*0.00418257496311516+1.984375*0.00417601612706465+1.5*0.382802832581921+1.9921875*0.0366287198730455+1.875*0.0102451205633244+1.5*2.85818152377079+1.9999999995343387*5.92879328325965E-4+1.5*0.00257082788077282+1.984375*0.00338742677192689+1.5*2.678806489 = 44318.23167194782' final score ~ 44318 reviewer: xxx gave 0
Rendered MathML:
-14π3abn=11n[coth(nπba)(ci(nπm2a)cos(nπm2a)+si(nπm2a)sin(nπm2a))\displaystyle-\displaystyle\frac{1}{4\pi^{3}}ab\sum _{{n=1}}^{{\infty}}\displaystyle\frac{1}{n}{\Big[}\coth(\displaystyle\frac{n\pi b}{a}){\Big(}{\rm ci}(\displaystyle\frac{n\pi m^{2}}{a})\cos(\displaystyle\frac{n\pi m^{2}}{a})+{\rm si}(\displaystyle\frac{n\pi m^{2}}{a})\sin(\displaystyle\frac{n\pi m^{2}}{a}){\Big)}
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Hit id57672

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 9
  • Formulasearchengine score: 44318
  • Reference to collection: _PREFIX_/9/f003223.xhtml#id57672
found all required tokens in TeX $\displaystyle-\displaystyle\frac{1}{4\pi^{3}}ab\sum _{{n=1}}^{{\infty}}\displaystyle\frac{1}{n}{\Big[}\coth(\displaystyle\frac{n\pi b}{a}){\Big(}{\rm ci}(\displaystyle\frac{n\pi m^{2}}{a})\cos(\displaystyle\frac{n\pi m^{2}}{a})+{\rm si}(\displaystyle\frac{n\pi m^{2}}{a})\sin(\displaystyle\frac{n\pi m^{2}}{a}){\Big)}$ at pos:64558(48%) Scoringfunction: ' + TeX_HIT_SCORE + 1.984375 * WORD_SCORE[series] + 1.96875 * WORD_SCORE[ convergent] + 1.9921875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.984375 * TOKEN_SCORE[(] + 1.984375 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.9921875 * TOKEN_SCORE[frac] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999999995343387 * TOKEN_SCORE[\] + 1.5 * TOKEN_SCORE[_] + 1.984375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.984375*13.2791113129629+1.96875*155.947852800104+1.9921875*0.06672875812593+1.5*0.450727438769192+1.984375*0.00418257496311516+1.984375*0.00417601612706465+1.5*0.382802832581921+1.9921875*0.0366287198730455+1.875*0.0102451205633244+1.5*2.85818152377079+1.9999999995343387*5.92879328325965E-4+1.5*0.00257082788077282+1.984375*0.00338742677192689+1.5*2.678806489 = 44318.23167194782' final score ~ 44318 reviewer: xxx gave 0
Rendered MathML:
-14π3abn=11n[coth(nπba)(ci(nπm2a)cos(nπm2a)+si(nπm2a)sin(nπm2a))\displaystyle-\displaystyle\frac{1}{4\pi^{3}}ab\sum _{{n=1}}^{{\infty}}\displaystyle\frac{1}{n}{\Big[}\coth(\displaystyle\frac{n\pi b}{a}){\Big(}{\rm ci}(\displaystyle\frac{n\pi m^{2}}{a})\cos(\displaystyle\frac{n\pi m^{2}}{a})+{\rm si}(\displaystyle\frac{n\pi m^{2}}{a})\sin(\displaystyle\frac{n\pi m^{2}}{a}){\Big)}
End of MathML
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Hit id67661

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 10
  • Formulasearchengine score: 43917
  • Reference to collection: _PREFIX_/34/f013310.xhtml#id67661
found all required tokens in TeX $F_{m}(z)=\frac{e^{{-z/2}}}{4}\sum _{{n=0}}^{\infty}\frac{1}{n!}\left(\frac{z}{2}\right)^{n}\int _{{-\pi}}^{\pi}\sin^{{2m}}\frac{\omega}{2}\cos^{n}\omega\cos\frac{\omega}{2}d\omega.$ at pos:212167(22%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[series] + 1.9375 * WORD_SCORE[ convergent] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.96875 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999980926513672 * TOKEN_SCORE[\] + 1.875 * TOKEN_SCORE[_] + 1.984375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+2.0*13.2791113129629+1.9375*155.947852800104+1.9375*0.06672875812593+1.5*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.96875*0.0366287198730455+1.5*0.0102451205633244+1.5*2.85818152377079+1.9999980926513672*5.92879328325965E-4+1.875*0.00257082788077282+1.984375*0.00338742677192689+1.75*2.678806489 = 43917.67894357348' final score ~ 43917 reviewer: xxx gave 0
Rendered MathML:
Fmz=e-z/24n=01n!z2n-ππsin2mω2cosnωcosω2dω.subscriptFmzsuperscriptez24superscriptsubscriptn01nsuperscriptz2nsuperscriptsubscriptππsuperscript2mω2superscriptnωω2dωF_{m}(z)=\frac{e^{{-z/2}}}{4}\sum _{{n=0}}^{\infty}\frac{1}{n!}\left(\frac{z}{2}\right)^{n}\int _{{-\pi}}^{\pi}\sin^{{2m}}\frac{\omega}{2}\cos^{n}\omega\cos\frac{\omega}{2}d\omega.
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Hit id100923

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 11
  • Formulasearchengine score: 43731
  • Reference to collection: _PREFIX_/49/f019560.xhtml#id100923
found all required tokens in TeX $\displaystyle\sum _{{n=-\infty}}^{{\infty}}a_{{n}}\exp\left[i(k_{{1x}}+n\beta)x+ik_{{2y,n}}\frac{\varepsilon}{\beta}\sin\beta x\right]=0.$ at pos:727508(92%) Scoringfunction: ' + TeX_HIT_SCORE + 1.96875 * WORD_SCORE[infinite] + 1.75 * WORD_SCORE[series] + 1.75 * WORD_SCORE[ convergent] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.5 * TOKEN_SCORE[(] + 1.5 * TOKEN_SCORE[)] + 1.75 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9998779296875 * TOKEN_SCORE[\] + 1.9375 * TOKEN_SCORE[_] + 1.5 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.96875*15.5564982098831+1.75*13.2791113129629+1.75*155.947852800104+1.9375*0.06672875812593+1.5*0.450727438769192+1.5*0.00418257496311516+1.5*0.00417601612706465+1.75*0.382802832581921+1.5*0.0366287198730455+1.5*0.0102451205633244+1.5*2.85818152377079+1.9998779296875*5.92879328325965E-4+1.9375*0.00257082788077282+1.5*0.00338742677192689+1.75*2.678806489 = 43731.86062267722' final score ~ 43731 reviewer: xxx gave 0
Rendered MathML:
n=-anexpik1x+nβx+ik2y,nεβsinβx=0.superscriptsubscriptnsubscriptanisubscriptk1xnβxisubscriptk2ynεββx0.\displaystyle\sum _{{n=-\infty}}^{{\infty}}a_{{n}}\exp\left[i(k_{{1x}}+n\beta)x+ik_{{2y,n}}\frac{\varepsilon}{\beta}\sin\beta x\right]=0.
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Hit id62451

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 12
  • Formulasearchengine score: 42798
  • Reference to collection: _PREFIX_/210/f083871.xhtml#id62451
found all required tokens in TeX $\displaystyle\!\!\int^{{\infty}}_{{-\frac{2\alpha LR\sin\theta}{\sqrt{L^{2}+R^{2}\sin^{2}\theta}}}}\; e^{{-\frac{1}{4}r^{2}}}\; dr=\left\{\sqrt{4\pi}-\sum _{{n=0}}^{{\infty}}\frac{1}{(2n+1)n!}\left(\frac{-1}{4}\right)^{n}\left(\frac{-2\alpha LR\sin\theta}{\sqrt{L^{2}+R^{2}\sin^{2}\theta}}\right)^{{2n+1}}\right\}\!\!.$ at pos:131988(42%) Scoringfunction: ' + TeX_HIT_SCORE + 1.5 * WORD_SCORE[infinite] + 1.5 * WORD_SCORE[series] + 1.75 * WORD_SCORE[ convergent] + 1.96875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.875 * TOKEN_SCORE[(] + 1.875 * TOKEN_SCORE[)] + 1.75 * TOKEN_SCORE[infty] + 1.96875 * TOKEN_SCORE[frac] + 1.96875 * TOKEN_SCORE[1] + 1.9375 * TOKEN_SCORE[sin] + 1.999999999996362 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.999755859375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.5*15.5564982098831+1.5*13.2791113129629+1.75*155.947852800104+1.96875*0.06672875812593+1.5*0.450727438769192+1.875*0.00418257496311516+1.875*0.00417601612706465+1.75*0.382802832581921+1.96875*0.0366287198730455+1.96875*0.0102451205633244+1.9375*2.85818152377079+1.999999999996362*5.92879328325965E-4+1.75*0.00257082788077282+1.999755859375*0.00338742677192689+1.75*2.678806489 = 42798.557706587606' final score ~ 42798 reviewer: xxx gave 0
Rendered MathML:
-2αLRsinθL2+R2sin2θe-14r2dr=4π-n=012n+1n!-14n-2αLRsinθL2+R2sin2θ2n+1.subscriptsuperscript2αLRθsuperscriptL2superscriptR2superscript2θsuperscripte14superscriptr2dr4πsuperscriptsubscriptn012n1nsuperscript14nsuperscript2αLRθsuperscriptL2superscriptR2superscript2θ2n1\displaystyle\!\!\int^{{\infty}}_{{-\frac{2\alpha LR\sin\theta}{\sqrt{L^{2}+R^{2}\sin^{2}\theta}}}}\; e^{{-\frac{1}{4}r^{2}}}\; dr=\left\{\sqrt{4\pi}-\sum _{{n=0}}^{{\infty}}\frac{1}{(2n+1)n!}\left(\frac{-1}{4}\right)^{n}\left(\frac{-2\alpha LR\sin\theta}{\sqrt{L^{2}+R^{2}\sin^{2}\theta}}\right)^{{2n+1}}\right\}\!\!.
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Hit id67349

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 13
  • Formulasearchengine score: 40771
  • Reference to collection: _PREFIX_/137/f054679.xhtml#id67349
found all required tokens in TeX $\sum _{{n=1}}^{\infty}c_{n}\frac{z^{n}}{1-z^{n}}$ at pos:208807(54%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9921875 * WORD_SCORE[series] + 1.75 * WORD_SCORE[ convergent] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.0 * TOKEN_SCORE[(] + 1.0 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[sin] + 1.875 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.9921875*13.2791113129629+1.75*155.947852800104+1.9375*0.06672875812593+1.5*0.450727438769192+1.0*0.00418257496311516+1.0*0.00417601612706465+1.5*0.382802832581921+1.5*0.0366287198730455+1.75*0.0102451205633244+1.0*2.85818152377079+1.875*5.92879328325965E-4+1.75*0.00257082788077282+1.875*0.00338742677192689+1.5*2.678806489 = 40771.23882567566' final score ~ 40771 reviewer: xxx gave 0
Rendered MathML:
n=1cnzn1-znsuperscriptsubscriptn1subscriptcnsuperscriptzn1superscriptzn\sum _{{n=1}}^{\infty}c_{n}\frac{z^{n}}{1-z^{n}}
End of MathML
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Hit id102259

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 15
  • Formulasearchengine score: 39553
  • Reference to collection: _PREFIX_/184/f073529.xhtml#id102259
found all required tokens in TeX $\zeta(z,q)=\frac{2\Gamma(1-z)}{(2\pi)^{{1-z}}}\times\left(\sin\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{\cos(2\pi qn)}{n^{{1-z}}}+\cos\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{\sin(2\pi qn)}{n^{{1-z}}}\right).$ at pos:755570(69%) Scoringfunction: ' + TeX_HIT_SCORE + 1.5 * WORD_SCORE[infinite] + 1.9990234375 * WORD_SCORE[series] + 1.5 * WORD_SCORE[ convergent] + 1.9375 * TOKEN_SCORE[n] + 1.75 * TOKEN_SCORE[sum] + 1.99609375 * TOKEN_SCORE[(] + 1.99609375 * TOKEN_SCORE[)] + 1.75 * TOKEN_SCORE[infty] + 1.96875 * TOKEN_SCORE[frac] + 1.984375 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[sin] + 1.9999999925494194 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.96875 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[=] =+100.0+1.5*15.5564982098831+1.9990234375*13.2791113129629+1.5*155.947852800104+1.9375*0.06672875812593+1.75*0.450727438769192+1.99609375*0.00418257496311516+1.99609375*0.00417601612706465+1.75*0.382802832581921+1.96875*0.0366287198730455+1.984375*0.0102451205633244+1.75*2.85818152377079+1.9999999925494194*5.92879328325965E-4+1.75*0.00257082788077282+1.96875*0.00338742677192689+1.875*2.678806489 = 39553.580722467486' final score ~ 39553 reviewer: xxx gave 0
Rendered MathML:
ζz,q=2Γ1-z2π1-z×sinπz2n=1cos2πqnn1-z+cosπz2n=1sin2πqnn1-z.ζzq2Γ1zsuperscript2π1zπz2superscriptsubscriptn12πqnsuperscriptn1zπz2superscriptsubscriptn12πqnsuperscriptn1z\zeta(z,q)=\frac{2\Gamma(1-z)}{(2\pi)^{{1-z}}}\times\left(\sin\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{\cos(2\pi qn)}{n^{{1-z}}}+\cos\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{\sin(2\pi qn)}{n^{{1-z}}}\right).
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Hit id118040

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 16
  • Formulasearchengine score: 39451
  • Reference to collection: _PREFIX_/32/f012467.xhtml#id118040
found all required tokens in TeX $\displaystyle-\frac{1}{4\pi}\sum _{{n=1}}^{{\lambda-1}}2\sin{\frac{\pi n}{2\lambda}}\int _{0}^{{\infty}}d\kappa\ln\left[1+\bar{K}^{{(n)}}_{l}(\kappa)K^{{(n)}}_{r}(\kappa)e^{{-\epsilon _{n}(\kappa)}}\right]$ at pos:1007379(43%) Scoringfunction: ' + TeX_HIT_SCORE + 1.984375 * WORD_SCORE[infinite] + 1.5 * WORD_SCORE[series] + 1.5 * WORD_SCORE[ convergent] + 1.96875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.96875 * TOKEN_SCORE[(] + 1.96875 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.75 * TOKEN_SCORE[frac] + 1.9375 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999990463256836 * TOKEN_SCORE[\] + 1.96875 * TOKEN_SCORE[_] + 1.96875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.984375*15.5564982098831+1.5*13.2791113129629+1.5*155.947852800104+1.96875*0.06672875812593+1.5*0.450727438769192+1.96875*0.00418257496311516+1.96875*0.00417601612706465+1.5*0.382802832581921+1.75*0.0366287198730455+1.9375*0.0102451205633244+1.5*2.85818152377079+1.9999990463256836*5.92879328325965E-4+1.96875*0.00257082788077282+1.96875*0.00338742677192689+1.5*2.678806489 = 39451.08442025972' final score ~ 39451 reviewer: xxx gave 0
Rendered MathML:
-14πn=1λ-12sinπn2λ0dκln1+K¯lnκKrnκe-ϵnκ14πsuperscriptsubscriptn1λ12πn2λsuperscriptsubscript0dκ1subscriptsuperscript¯KnlκsubscriptsuperscriptKnrκsuperscriptesubscriptϵnκ\displaystyle-\frac{1}{4\pi}\sum _{{n=1}}^{{\lambda-1}}2\sin{\frac{\pi n}{2\lambda}}\int _{0}^{{\infty}}d\kappa\ln\left[1+\bar{K}^{{(n)}}_{l}(\kappa)K^{{(n)}}_{r}(\kappa)e^{{-\epsilon _{n}(\kappa)}}\right]
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Hit id92359

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 17
  • Formulasearchengine score: 39427
  • Reference to collection: _PREFIX_/184/f073529.xhtml#id92359
found all required tokens in TeX $\displaystyle{\cal M}^{{({\rm osc})}}_{{n.r.}}(T,\mu,b)=-\frac{e\, m^{2}}{\pi}\frac{p_{{\hbox{\tiny F}}}^{2}\, T}{\sqrt{2b}}\,\sum\limits _{{n=1}}^{\infty}{\frac{\sin(2\pi n\, p_{{\hbox{\tiny F}}}^{2}/b-\pi/4)}{\sqrt{n}\,\sinh(4\pi^{2}n\, T/b)}}.$ at pos:603015(55%) Scoringfunction: ' + TeX_HIT_SCORE + 1.5 * WORD_SCORE[infinite] + 1.9990234375 * WORD_SCORE[series] + 1.5 * WORD_SCORE[ convergent] + 1.96875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.9375 * TOKEN_SCORE[(] + 1.9375 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.875 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999999962747097 * TOKEN_SCORE[\] + 1.9375 * TOKEN_SCORE[_] + 1.984375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.5*15.5564982098831+1.9990234375*13.2791113129629+1.5*155.947852800104+1.96875*0.06672875812593+1.5*0.450727438769192+1.9375*0.00418257496311516+1.9375*0.00417601612706465+1.5*0.382802832581921+1.875*0.0366287198730455+1.5*0.0102451205633244+1.5*2.85818152377079+1.9999999962747097*5.92879328325965E-4+1.9375*0.00257082788077282+1.984375*0.00338742677192689+1.75*2.678806489 = 39427.17625132763' final score ~ 39427 reviewer: xxx gave 0
Rendered MathML:
Mn.r.oscT,μ,b=-em2πpF2T2bn=1sin2πnpF2/b-π/4nsinh4π2nT/b.subscriptsuperscriptMoscn.r.Tμbesuperscriptm2πsuperscriptsubscriptpF2T2bsuperscriptsubscriptn12πnsuperscriptsubscriptpF2bπ4n4superscriptπ2nTb\displaystyle{\cal M}^{{({\rm osc})}}_{{n.r.}}(T,\mu,b)=-\frac{e\, m^{2}}{\pi}\frac{p_{{\hbox{\tiny F}}}^{2}\, T}{\sqrt{2b}}\,\sum\limits _{{n=1}}^{\infty}{\frac{\sin(2\pi n\, p_{{\hbox{\tiny F}}}^{2}/b-\pi/4)}{\sqrt{n}\,\sinh(4\pi^{2}n\, T/b)}}.
End of MathML
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Hit id91819

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 18
  • Formulasearchengine score: 39426
  • Reference to collection: _PREFIX_/184/f073529.xhtml#id91819
found all required tokens in TeX $\displaystyle{\cal M}^{{({\rm osc})}}(T,\mu,b)=-\frac{e\, m^{2}}{\pi}\frac{p_{{\hbox{\tiny F}}}^{2}\, T}{\sqrt{2b}}\,\sum\limits _{{n=1}}^{\infty}{\frac{\sin(2\pi n\, p_{{\hbox{\tiny F}}}^{2}/b-\pi/4)}{\sqrt{n}\,\sinh(4\pi^{2}n\,\mu\, T/b)}}+\dots.$ at pos:594772(54%) Scoringfunction: ' + TeX_HIT_SCORE + 1.5 * WORD_SCORE[infinite] + 1.9990234375 * WORD_SCORE[series] + 1.5 * WORD_SCORE[ convergent] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.9375 * TOKEN_SCORE[(] + 1.9375 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.875 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999999995343387 * TOKEN_SCORE[\] + 1.875 * TOKEN_SCORE[_] + 1.984375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.5*15.5564982098831+1.9990234375*13.2791113129629+1.5*155.947852800104+1.9375*0.06672875812593+1.5*0.450727438769192+1.9375*0.00418257496311516+1.9375*0.00417601612706465+1.5*0.382802832581921+1.875*0.0366287198730455+1.5*0.0102451205633244+1.5*2.85818152377079+1.9999999995343387*5.92879328325965E-4+1.875*0.00257082788077282+1.984375*0.00338742677192689+1.75*2.678806489 = 39426.95165628443' final score ~ 39426 reviewer: xxx gave 0
Rendered MathML:
MoscT,μ,b=-em2πpF2T2bn=1sin2πnpF2/b-π/4nsinh4π2nμT/b+.superscriptMoscTμbesuperscriptm2πsuperscriptsubscriptpF2T2bsuperscriptsubscriptn12πnsuperscriptsubscriptpF2bπ4n4superscriptπ2nμTb\displaystyle{\cal M}^{{({\rm osc})}}(T,\mu,b)=-\frac{e\, m^{2}}{\pi}\frac{p_{{\hbox{\tiny F}}}^{2}\, T}{\sqrt{2b}}\,\sum\limits _{{n=1}}^{\infty}{\frac{\sin(2\pi n\, p_{{\hbox{\tiny F}}}^{2}/b-\pi/4)}{\sqrt{n}\,\sinh(4\pi^{2}n\,\mu\, T/b)}}+\dots.
End of MathML
.

Hit id87062

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 19
  • Formulasearchengine score: 39425
  • Reference to collection: _PREFIX_/184/f073529.xhtml#id87062
found all required tokens in TeX $\displaystyle I_{z}(\alpha,\beta)=(2\pi)^{{z+1}}\Gamma(1-z)\beta\sum\limits _{{n=1}}^{\infty}{\frac{{n^{z}\sin(2\pi n\alpha+z\pi/2)}}{{\sinh(2\pi^{2}\beta n)}}}.$ at pos:520365(47%) Scoringfunction: ' + TeX_HIT_SCORE + 1.5 * WORD_SCORE[infinite] + 1.9990234375 * WORD_SCORE[series] + 1.5 * WORD_SCORE[ convergent] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.96875 * TOKEN_SCORE[(] + 1.96875 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999923706054688 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.9375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.5*15.5564982098831+1.9990234375*13.2791113129629+1.5*155.947852800104+1.9375*0.06672875812593+1.5*0.450727438769192+1.96875*0.00418257496311516+1.96875*0.00417601612706465+1.5*0.382802832581921+1.5*0.0366287198730455+1.875*0.0102451205633244+1.5*2.85818152377079+1.9999923706054688*5.92879328325965E-4+1.75*0.00257082788077282+1.9375*0.00338742677192689+1.75*2.678806489 = 39425.940377543666' final score ~ 39425 reviewer: xxx gave 0
Rendered MathML:
Izα,β=2πz+1Γ1-zβn=1nzsin2πnα+zπ/2sinh2π2βn.subscriptIzαβsuperscript2πz1Γ1zβsuperscriptsubscriptn1superscriptnz2πnαzπ22superscriptπ2βn\displaystyle I_{z}(\alpha,\beta)=(2\pi)^{{z+1}}\Gamma(1-z)\beta\sum\limits _{{n=1}}^{\infty}{\frac{{n^{z}\sin(2\pi n\alpha+z\pi/2)}}{{\sinh(2\pi^{2}\beta n)}}}.
End of MathML
.

Hit id112893

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 23
  • Formulasearchengine score: 39271
  • Reference to collection: _PREFIX_/222/f088608.xhtml#id112893
found all required tokens in TeX $\partial^{k}(p)=\sum _{{n=1}}^{\infty}a_{n}\partial^{k}(x^{n})$ at pos:897617(92%) Scoringfunction: ' + TeX_HIT_SCORE + 1.5 * WORD_SCORE[infinite] + 1.9921875 * WORD_SCORE[series] + 1.5 * WORD_SCORE[ convergent] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.0 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[sin] + 1.9375 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.9375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.5*15.5564982098831+1.9921875*13.2791113129629+1.5*155.947852800104+1.875*0.06672875812593+1.5*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.0*0.0366287198730455+1.5*0.0102451205633244+1.0*2.85818152377079+1.9375*5.92879328325965E-4+1.75*0.00257082788077282+1.9375*0.00338742677192689+1.75*2.678806489 = 39271.13455187938' final score ~ 39271 reviewer: xxx gave 0
Rendered MathML:
kp=n=1ankxnsuperscriptkpsuperscriptsubscriptn1subscriptansuperscriptksuperscriptxn\partial^{k}(p)=\sum _{{n=1}}^{\infty}a_{n}\partial^{k}(x^{n})
End of MathML
.

Hit id112218

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 24
  • Formulasearchengine score: 39270
  • Reference to collection: _PREFIX_/222/f088608.xhtml#id112218
found all required tokens in TeX $p(x)=\sum _{{n=1}}^{\infty}a_{n}x^{n}$ at pos:887279(91%) Scoringfunction: ' + TeX_HIT_SCORE + 1.5 * WORD_SCORE[infinite] + 1.9921875 * WORD_SCORE[series] + 1.5 * WORD_SCORE[ convergent] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.5 * TOKEN_SCORE[(] + 1.5 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.0 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[sin] + 1.75 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.75 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.5*15.5564982098831+1.9921875*13.2791113129629+1.5*155.947852800104+1.875*0.06672875812593+1.5*0.450727438769192+1.5*0.00418257496311516+1.5*0.00417601612706465+1.5*0.382802832581921+1.0*0.0366287198730455+1.5*0.0102451205633244+1.0*2.85818152377079+1.75*5.92879328325965E-4+1.75*0.00257082788077282+1.75*0.00338742677192689+1.75*2.678806489 = 39270.85095636275' final score ~ 39270 reviewer: xxx gave 0
Rendered MathML:
px=n=1anxnpxsuperscriptsubscriptn1subscriptansuperscriptxnp(x)=\sum _{{n=1}}^{\infty}a_{n}x^{n}
End of MathML
.

Hit idp3278768

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 26
  • Formulasearchengine score: 36216
  • Reference to collection: _PREFIX_/116/f046032.xhtml#idp3278768
found all required tokens in TeX $\sum _{{n=2}}^{\infty}\Omega _{n}^{{1/\ln n}}$ at pos:393017(93%) Scoringfunction: ' + TeX_HIT_SCORE + 1.5 * WORD_SCORE[series] + 1.5 * WORD_SCORE[ convergent] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.0 * TOKEN_SCORE[(] + 1.0 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.0 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[sin] + 1.9375 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.75 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.5*13.2791113129629+1.5*155.947852800104+1.875*0.06672875812593+1.5*0.450727438769192+1.0*0.00418257496311516+1.0*0.00417601612706465+1.5*0.382802832581921+1.0*0.0366287198730455+1.5*0.0102451205633244+1.0*2.85818152377079+1.9375*5.92879328325965E-4+1.75*0.00257082788077282+1.75*0.00338742677192689+1.5*2.678806489 = 36216.41798965329' final score ~ 36216 reviewer: xxx gave 0
Rendered MathML:
n=2Ωn1/lnnsuperscriptsubscriptn2superscriptsubscriptΩn1n\sum _{{n=2}}^{\infty}\Omega _{n}^{{1/\ln n}}
End of MathML
.

Hit id103589

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 27
  • Formulasearchengine score: 16810
  • Reference to collection: _PREFIX_/168/f066882.xhtml#id103589
found all required tokens in TeX $\displaystyle{\mathit{sn}}(\omega t,\, k^{2})\;=\;\frac{2\pi}{k\, K}\sum _{{n=1}}^{{\;\;\;\;\;\infty\;\;\;*}}\frac{q^{{n/2}}}{1\,-\, q^{{n}}}\;\sin\left(\omega _{n}\, t\right)\;\;\;\;\;,$ at pos:804023(59%) Scoringfunction: ' + TeX_HIT_SCORE + 1.99993896484375 * WORD_SCORE[infinite] + 1.998046875 * WORD_SCORE[series] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.75 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999999998835847 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.9375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.99993896484375*15.5564982098831+1.998046875*13.2791113129629+1.9375*0.06672875812593+1.5*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.5*0.382802832581921+1.75*0.0366287198730455+1.75*0.0102451205633244+1.5*2.85818152377079+1.9999999998835847*5.92879328325965E-4+1.75*0.00257082788077282+1.9375*0.00338742677192689+1.75*2.678806489 = 16810.800440740175' final score ~ 16810 reviewer: xxx gave 0
Rendered MathML:
snωt,k2=2πkKn=1*qn/21-qnsinωnt,snωtsuperscriptk22πkKsuperscriptsubscriptn1superscriptqn21superscriptqnsubscriptωnt\displaystyle{\mathit{sn}}(\omega t,\, k^{2})\;=\;\frac{2\pi}{k\, K}\sum _{{n=1}}^{{\;\;\;\;\;\infty\;\;\;*}}\frac{q^{{n/2}}}{1\,-\, q^{{n}}}\;\sin\left(\omega _{n}\, t\right)\;\;\;\;\;,
End of MathML
.

Hit id62625

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 29
  • Formulasearchengine score: 16643
  • Reference to collection: _PREFIX_/37/f014740.xhtml#id62625
found all required tokens in TeX $\displaystyle=\frac{-i}{\lambda}\sum _{{n,m=1}}^{\infty}\int _{{0}}^{\infty}\!\tilde{\mathcal{D}}_{{n,m}}(\lambda)\int _{0}^{\infty}\! d\tau _{n}\, ds_{n}\, e^{{-\lambda s_{n}}}\sum _{{\{\xi _{l}\}}}a_{{n,m}}^{{(1)}}G_{{n,m}}\sin\phi _{{n,m}}\;.$ at pos:140807(34%) Scoringfunction: ' + TeX_HIT_SCORE + 1.875 * WORD_SCORE[infinite] + 1.999755859375 * WORD_SCORE[series] + 1.99609375 * TOKEN_SCORE[n] + 1.75 * TOKEN_SCORE[sum] + 1.75 * TOKEN_SCORE[(] + 1.75 * TOKEN_SCORE[)] + 1.875 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9999999701976776 * TOKEN_SCORE[\] + 1.999755859375 * TOKEN_SCORE[_] + 1.96875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[=] =+100.0+1.875*15.5564982098831+1.999755859375*13.2791113129629+1.99609375*0.06672875812593+1.75*0.450727438769192+1.75*0.00418257496311516+1.75*0.00417601612706465+1.875*0.382802832581921+1.5*0.0366287198730455+1.75*0.0102451205633244+1.5*2.85818152377079+1.9999999701976776*5.92879328325965E-4+1.999755859375*0.00257082788077282+1.96875*0.00338742677192689+1.75*2.678806489 = 16643.881898472246' final score ~ 16643 reviewer: xxx gave 0
Rendered MathML:
=-iλn,m=10D~n,mλ0dτndsne-λsnξlan,m1Gn,msinϕn,m.iλsuperscriptsubscriptnm1superscriptsubscript0subscript~Dnmλsuperscriptsubscript0dsubscriptτndsubscriptsnsuperscripteλsubscriptsnsubscriptsubscriptξlsuperscriptsubscriptanm1subscriptGnmsubscriptϕnm\displaystyle=\frac{-i}{\lambda}\sum _{{n,m=1}}^{\infty}\int _{{0}}^{\infty}\!\tilde{\mathcal{D}}_{{n,m}}(\lambda)\int _{0}^{\infty}\! d\tau _{n}\, ds_{n}\, e^{{-\lambda s_{n}}}\sum _{{\{\xi _{l}\}}}a_{{n,m}}^{{(1)}}G_{{n,m}}\sin\phi _{{n,m}}\;.
End of MathML
.

Hit id73310

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 32
  • Formulasearchengine score: 16202
  • Reference to collection: _PREFIX_/2/f000524.xhtml#id73310
found all required tokens in TeX $\sum _{{n=0}}^{\infty}\frac{c_{{2n+1}}}{(2n+1)!}$ at pos:296477(78%) Scoringfunction: ' + TeX_HIT_SCORE + 1.75 * WORD_SCORE[infinite] + 1.9921875 * WORD_SCORE[series] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.5 * TOKEN_SCORE[(] + 1.5 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[sin] + 1.875 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.5 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.75*15.5564982098831+1.9921875*13.2791113129629+1.875*0.06672875812593+1.5*0.450727438769192+1.5*0.00418257496311516+1.5*0.00417601612706465+1.5*0.382802832581921+1.5*0.0366287198730455+1.75*0.0102451205633244+1.0*2.85818152377079+1.875*5.92879328325965E-4+1.75*0.00257082788077282+1.5*0.00338742677192689+1.5*2.678806489 = 16202.625618699281' final score ~ 16202 reviewer: xxx gave 0
Rendered MathML:
n=0c2n+12n+1!superscriptsubscriptn0subscriptc2n12n1\sum _{{n=0}}^{\infty}\frac{c_{{2n+1}}}{(2n+1)!}
End of MathML
.

Hit id73450

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 33
  • Formulasearchengine score: 16202
  • Reference to collection: _PREFIX_/2/f000524.xhtml#id73450
found all required tokens in TeX $\sum _{{n=0}}^{\infty}\frac{d_{{2n+1}}}{(2n+1)!}$ at pos:298748(78%) Scoringfunction: ' + TeX_HIT_SCORE + 1.75 * WORD_SCORE[infinite] + 1.9921875 * WORD_SCORE[series] + 1.875 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.5 * TOKEN_SCORE[(] + 1.5 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.75 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[sin] + 1.875 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.5 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.75*15.5564982098831+1.9921875*13.2791113129629+1.875*0.06672875812593+1.5*0.450727438769192+1.5*0.00418257496311516+1.5*0.00417601612706465+1.5*0.382802832581921+1.5*0.0366287198730455+1.75*0.0102451205633244+1.0*2.85818152377079+1.875*5.92879328325965E-4+1.75*0.00257082788077282+1.5*0.00338742677192689+1.5*2.678806489 = 16202.625618699281' final score ~ 16202 reviewer: xxx gave 0
Rendered MathML:
n=0d2n+12n+1!superscriptsubscriptn0subscriptd2n12n1\sum _{{n=0}}^{\infty}\frac{d_{{2n+1}}}{(2n+1)!}
End of MathML
.

Hit id67628

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 35
  • Formulasearchengine score: 15549
  • Reference to collection: _PREFIX_/33/f012873.xhtml#id67628
found all required tokens in TeX $\exp\sum _{{n=1}}^{{\infty}}\frac{z^{n}}{n}\operatorname{F}_{n}(T).$ at pos:212474(94%) Scoringfunction: ' + TeX_HIT_SCORE + 1.75 * WORD_SCORE[infinite] + 1.5 * WORD_SCORE[series] + 1.9375 * TOKEN_SCORE[n] + 1.5 * TOKEN_SCORE[sum] + 1.5 * TOKEN_SCORE[(] + 1.5 * TOKEN_SCORE[)] + 1.5 * TOKEN_SCORE[infty] + 1.5 * TOKEN_SCORE[frac] + 1.5 * TOKEN_SCORE[1] + 1.0 * TOKEN_SCORE[sin] + 1.96875 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.75 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[=] =+100.0+1.75*15.5564982098831+1.5*13.2791113129629+1.9375*0.06672875812593+1.5*0.450727438769192+1.5*0.00418257496311516+1.5*0.00417601612706465+1.5*0.382802832581921+1.5*0.0366287198730455+1.5*0.0102451205633244+1.0*2.85818152377079+1.96875*5.92879328325965E-4+1.75*0.00257082788077282+1.75*0.00338742677192689+1.5*2.678806489 = 15549.295529401592' final score ~ 15549 reviewer: xxx gave 0
Rendered MathML:
expn=1znnFnT.superscriptsubscriptn1superscriptznnsubscriptFnT\exp\sum _{{n=1}}^{{\infty}}\frac{z^{n}}{n}\operatorname{F}_{n}(T).
End of MathML
.

Hit id84678

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 38
  • Formulasearchengine score: 14213
  • Reference to collection: _PREFIX_/38/f015045.xhtml#id84678
found all required tokens in TeX $\sum _{{n=1}}^{\infty}{\sin{R\over L}n\over n^{{1-2s-2q}}}=\sum _{{n=1}}^{\infty}{\cos{R\over L}n\over n^{{-2s-2q}}}=0$ at pos:468328(77%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9921875 * WORD_SCORE[infinite] + 1.984375 * TOKEN_SCORE[n] + 1.75 * TOKEN_SCORE[sum] + 1.0 * TOKEN_SCORE[(] + 1.0 * TOKEN_SCORE[)] + 1.75 * TOKEN_SCORE[infty] + 1.0 * TOKEN_SCORE[frac] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.9990234375 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.9375 * TOKEN_SCORE[^] + 1.9375 * TOKEN_SCORE[=] =+100.0+1.9921875*15.5564982098831+1.984375*0.06672875812593+1.75*0.450727438769192+1.0*0.00418257496311516+1.0*0.00417601612706465+1.75*0.382802832581921+1.0*0.0366287198730455+1.875*0.0102451205633244+1.5*2.85818152377079+1.9990234375*5.92879328325965E-4+1.75*0.00257082788077282+1.9375*0.00338742677192689+1.9375*2.678806489 = 14213.645816972019' final score ~ 14213 reviewer: xxx gave 0
Rendered MathML:
n=1sinRLnn1-2s-2q=n=1cosRLnn-2s-2q=0superscriptsubscriptn1RLnsuperscriptn12s2qsuperscriptsubscriptn1RLnsuperscriptn2s2q0\sum _{{n=1}}^{\infty}{\sin{R\over L}n\over n^{{1-2s-2q}}}=\sum _{{n=1}}^{\infty}{\cos{R\over L}n\over n^{{-2s-2q}}}=0
End of MathML
.

Hit id65942

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 39
  • Formulasearchengine score: 13829
  • Reference to collection: _PREFIX_/184/f073230.xhtml#id65942
found all required tokens in TeX $\zeta(z,q)=\frac{2\Gamma(1-z)}{(2\pi)^{{1-z}}}\times\left(\sin\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{\cos(2\pi qn)}{n^{{1-z}}}+\cos\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{\sin(2\pi qn)}{n^{{1-z}}}\right).$ at pos:183065(9%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9999990463256836 * WORD_SCORE[series] + 1.9375 * TOKEN_SCORE[n] + 1.75 * TOKEN_SCORE[sum] + 1.99609375 * TOKEN_SCORE[(] + 1.99609375 * TOKEN_SCORE[)] + 1.75 * TOKEN_SCORE[infty] + 1.96875 * TOKEN_SCORE[frac] + 1.984375 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[sin] + 1.9999999925494194 * TOKEN_SCORE[\] + 1.75 * TOKEN_SCORE[_] + 1.96875 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[=] =+100.0+1.9999990463256836*13.2791113129629+1.9375*0.06672875812593+1.75*0.450727438769192+1.99609375*0.00418257496311516+1.99609375*0.00417601612706465+1.75*0.382802832581921+1.96875*0.0366287198730455+1.984375*0.0102451205633244+1.75*2.85818152377079+1.9999999925494194*5.92879328325965E-4+1.75*0.00257082788077282+1.96875*0.00338742677192689+1.875*2.678806489 = 13829.223592788838' final score ~ 13829 reviewer: xxx gave 0
Rendered MathML:
ζz,q=2Γ1-z2π1-z×sinπz2n=1cos2πqnn1-z+cosπz2n=1sin2πqnn1-z.ζzq2Γ1zsuperscript2π1zπz2superscriptsubscriptn12πqnsuperscriptn1zπz2superscriptsubscriptn12πqnsuperscriptn1z\zeta(z,q)=\frac{2\Gamma(1-z)}{(2\pi)^{{1-z}}}\times\left(\sin\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{\cos(2\pi qn)}{n^{{1-z}}}+\cos\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{\sin(2\pi qn)}{n^{{1-z}}}\right).
End of MathML
.

Hit id73402

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 40
  • Formulasearchengine score: 13758
  • Reference to collection: _PREFIX_/184/f073230.xhtml#id73402
found all required tokens in TeX $\displaystyle=\frac{\Gamma(1-z)}{(2\pi)^{{1-z}}}\left(\sin\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{a_{{n}}(w)}{n^{{1-z}}}+\cos\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{b_{{n}}(w)}{n^{{1-z}}}\right)$ at pos:292122(15%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9999990463256836 * WORD_SCORE[series] + 1.984375 * TOKEN_SCORE[n] + 1.75 * TOKEN_SCORE[sum] + 1.9921875 * TOKEN_SCORE[(] + 1.9921875 * TOKEN_SCORE[)] + 1.75 * TOKEN_SCORE[infty] + 1.96875 * TOKEN_SCORE[frac] + 1.984375 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.999999761581421 * TOKEN_SCORE[\] + 1.9375 * TOKEN_SCORE[_] + 1.96875 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[=] =+100.0+1.9999990463256836*13.2791113129629+1.984375*0.06672875812593+1.75*0.450727438769192+1.9921875*0.00418257496311516+1.9921875*0.00417601612706465+1.75*0.382802832581921+1.96875*0.0366287198730455+1.984375*0.0102451205633244+1.5*2.85818152377079+1.999999761581421*5.92879328325965E-4+1.9375*0.00257082788077282+1.96875*0.00338742677192689+1.875*2.678806489 = 13758.126783682706' final score ~ 13758 reviewer: xxx gave 0
Rendered MathML:
=Γ1-z2π1-zsinπz2n=1anwn1-z+cosπz2n=1bnwn1-zΓ1zsuperscript2π1zπz2superscriptsubscriptn1subscriptanwsuperscriptn1zπz2superscriptsubscriptn1subscriptbnwsuperscriptn1z\displaystyle=\frac{\Gamma(1-z)}{(2\pi)^{{1-z}}}\left(\sin\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{a_{{n}}(w)}{n^{{1-z}}}+\cos\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{b_{{n}}(w)}{n^{{1-z}}}\right)
End of MathML
.

Hit id74028

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 41
  • Formulasearchengine score: 13758
  • Reference to collection: _PREFIX_/184/f073230.xhtml#id74028
found all required tokens in TeX $\displaystyle=\frac{\Gamma(1-z)}{(2\pi)^{{1-z}}}\left(\sin\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{a_{{n}}(w)}{n^{{1-z}}}-\cos\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{b_{{n}}(w)}{n^{{1-z}}}\right).$ at pos:301888(16%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9999990463256836 * WORD_SCORE[series] + 1.984375 * TOKEN_SCORE[n] + 1.75 * TOKEN_SCORE[sum] + 1.9921875 * TOKEN_SCORE[(] + 1.9921875 * TOKEN_SCORE[)] + 1.75 * TOKEN_SCORE[infty] + 1.96875 * TOKEN_SCORE[frac] + 1.984375 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[sin] + 1.999999761581421 * TOKEN_SCORE[\] + 1.9375 * TOKEN_SCORE[_] + 1.96875 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[=] =+100.0+1.9999990463256836*13.2791113129629+1.984375*0.06672875812593+1.75*0.450727438769192+1.9921875*0.00418257496311516+1.9921875*0.00417601612706465+1.75*0.382802832581921+1.96875*0.0366287198730455+1.984375*0.0102451205633244+1.5*2.85818152377079+1.999999761581421*5.92879328325965E-4+1.9375*0.00257082788077282+1.96875*0.00338742677192689+1.875*2.678806489 = 13758.126783682706' final score ~ 13758 reviewer: xxx gave 0
Rendered MathML:
=Γ1-z2π1-zsinπz2n=1anwn1-z-cosπz2n=1bnwn1-z.Γ1zsuperscript2π1zπz2superscriptsubscriptn1subscriptanwsuperscriptn1zπz2superscriptsubscriptn1subscriptbnwsuperscriptn1z\displaystyle=\frac{\Gamma(1-z)}{(2\pi)^{{1-z}}}\left(\sin\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{a_{{n}}(w)}{n^{{1-z}}}-\cos\left(\frac{\pi z}{2}\right)\sum _{{n=1}}^{{\infty}}\frac{b_{{n}}(w)}{n^{{1-z}}}\right).
End of MathML
.

Hit id103112

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 67
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/154/f061596.xhtml#id103112
no match at pos:744672(000036%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
expn=11nα-nα¯-nsuperscriptsubscriptn11nsubscriptαnsubscript¯αn
End of MathML
.

Hit id114568

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 68
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/228/f090991.xhtml#id114568
no match at pos:923712(000079%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
ψΛ=n=0ω1,n-n=0ω2,n-x22n=0μn2cosπnx-xn=0μnsinπnxsubscriptψΛsuperscriptsubscriptn0subscriptω1nsuperscriptsubscriptn0subscriptω2nsuperscriptx22superscriptsubscriptn0superscriptsubscriptμn2πnxxsuperscriptsubscriptn0subscriptμnπnx
End of MathML
.

Hit id117236

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 69
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/242/f096568.xhtml#id117236
no match at pos:988512(000060%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
πasin2a-2-4n=1naπ2nζ2n+1πasuperscript2a24superscriptsubscriptn1nsuperscriptaπ2nζ2n1
End of MathML
.

Hit id167163

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 70
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/194/f077388.xhtml#id167163
no match at pos:1736236(000074%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1rnn=ln11-rsuperscriptsubscriptn1superscriptrnn11r
End of MathML
.

Hit id53758

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 71
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/162/f064484.xhtml#id53758
no match at pos:4261(000001%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
a02+n=1ancosnx,subscripta02superscriptsubscriptn1subscriptannx
End of MathML
.

Hit id55285

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 72
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/68/f026927.xhtml#id55285
no match at pos:28782(000004%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1τnminncn,1superscriptsubscriptn1subscriptτnnsubscriptcn1
End of MathML
.

Hit id56887

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 73
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/174/f069467.xhtml#id56887
no match at pos:53976(000026%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
expx:=n=01n!xn:=xsuperscriptsubscriptn01nsuperscriptxn
End of MathML
.

Hit id56958

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 74
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/102/f040644.xhtml#id56958
no match at pos:53268(000027%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
u0x=n=0un0sin2π2n+1xdsuperscriptu0xsuperscriptsubscriptn0subscriptsuperscriptu0n2π2n1xd
End of MathML
.

Hit id57121

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 75
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/194/f077362.xhtml#id57121
no match at pos:56334(000011%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1x-nsuperscriptsubscriptn1subscriptxn
End of MathML
.

Hit id57189

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 76
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/194/f077362.xhtml#id57189
no match at pos:57467(000011%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=0xnsuperscriptsubscriptn0subscriptxn
End of MathML
.

Hit id58110

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 77
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/99/f039524.xhtml#id58110
no match at pos:67685(000010%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=11nλntnsuperscriptsubscriptn11nsuperscriptλnsubscripttn
End of MathML
.

Hit id58949

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 78
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/13/f004809.xhtml#id58949
no match at pos:81621(000006%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
y=n=1ynysuperscriptsubscriptn1subscriptyn
End of MathML
.

Hit id60199

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 79
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/181/f072089.xhtml#id60199
no match at pos:102796(000041%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1xnn=-ln1-xsuperscriptsubscriptn1superscriptxnn1x
End of MathML
.

Hit id61574

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 80
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/181/f072071.xhtml#id61574
no match at pos:125863(000009%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
log1-ϵ=n=1ϵnn1ϵsuperscriptsubscriptn1superscriptϵnn
End of MathML
.

Hit id66918

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 81
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/237/f094670.xhtml#id66918
no match at pos:207759(000043%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
logp1+x=n=1-1nnxn,subscriptp1xsuperscriptsubscriptn1superscript1nnsuperscriptxn
End of MathML
.

Hit id68416

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 82
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/228/f091125.xhtml#id68416
no match at pos:217915(000078%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1cnsuperscriptsubscriptn1subscriptcn
End of MathML
.

Hit id68759

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 83
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/4/f001399.xhtml#id68759
no match at pos:232126(000090%) VariableMap:[a x 3, n x 2, ( x 2, ) x 2, infty, -, frac x 2, 2 x 2, 1 x 2, sin, \ x 7, _, ^ x 3, pi x 2, = x 2, prod] Expects 3 occurences for 'n' but has only 2 Expects 1 occurences for 'sum' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=11-a2n2=sinπaπasuperscriptsubscriptn11superscripta2superscriptn2πaπa\prod _{{n=1}}^{{\infty}}(1-\frac{a^{2}}{n^{2}})=\frac{\sin(\pi a)}{\pi a}
End of MathML
.

Hit id73288

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 84
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/138/f055036.xhtml#id73288
no match at pos:299145(000042%) VariableMap:[ln, n x 2, sum, ., infty x 2, frac, 1 x 2, \ x 7, _ x 2, ^, | x 2, pi, = x 2] Expects 3 occurences for 'n' but has only 2 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'sin' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1ln1πn=.superscriptsubscriptn11subscriptπn\sum _{{n=1}}^{{\infty}}\ln\frac{1}{|\pi _{{n}}|}=\infty\ .
End of MathML
.

Hit id76536

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 85
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/234/f093336.xhtml#id76536
no match at pos:355586(000051%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
logp1+x=n=1-1nnxn,subscriptp1xsuperscriptsubscriptn1superscript1nnsuperscriptxn
End of MathML
.

Hit id78017

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 86
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/56/f022245.xhtml#id78017
no match at pos:379666(000045%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1xnsuperscriptsubscriptn1subscriptxn
End of MathML
.

Hit id79317

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 87
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/20/f007674.xhtml#id79317
no match at pos:368729(000081%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1xnsubscriptsuperscriptn1subscriptxn
End of MathML
.

Hit id79664

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 88
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/183/f072902.xhtml#id79664
no match at pos:412691(000043%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1Sxnsuperscriptsubscriptn1Ssubscriptxn
End of MathML
.

Hit id79735

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 89
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/183/f072902.xhtml#id79735
no match at pos:413906(000044%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1xnsuperscriptsubscriptn1subscriptxn
End of MathML
.

Hit id85364

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 90
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/183/f073059.xhtml#id85364
no match at pos:476243(000088%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1fnsuperscriptsubscriptn1subscriptfn
End of MathML
.

Hit id86195

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 91
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/183/f073059.xhtml#id86195
no match at pos:488655(000090%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1fnsuperscriptsubscriptn1subscriptfn
End of MathML
.

Hit id86920

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 92
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/183/f073059.xhtml#id86920
no match at pos:500040(000093%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1fnsuperscriptsubscriptn1subscriptfn
End of MathML
.

Hit id96894

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 93
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/150/f059767.xhtml#id96894
no match at pos:656951(000034%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1Anbn-bn+1superscriptsubscriptn1subscriptAnsubscriptbnsubscriptbn1
End of MathML
.

Hit id97051

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 94
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/179/f071454.xhtml#id97051
no match at pos:645630(000075%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1xnsuperscriptsubscriptn1subscriptxn
End of MathML
.

Hit id97163

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 95
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/150/f059767.xhtml#id97163
no match at pos:660983(000034%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1anbnsuperscriptsubscriptn1subscriptansubscriptbn
End of MathML
.

Hit id97741

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 96
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/179/f071454.xhtml#id97741
no match at pos:655623(000076%) VariableMap:[] Expects 3 occurences for 'n' but has only 0 Expects 1 occurences for 'sum' but has only 0 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'infty' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 0 Expects 1 occurences for '_' but has only 0 Expects 1 occurences for '^' but has only 0 Expects 1 occurences for '=' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1xnsuperscriptsubscriptn1subscriptxn
End of MathML
.

Hit idp1156592

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 97
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/167/f066629.xhtml#idp1156592
no match at pos:143153(000043%) VariableMap:[nu, du, cos, L x 3, sum, infty, nx, over x 4, \ x 15, _ x 2, ^ x 3, int, n x 2, (, ), ., prime, 2, 1 x 2, u, 0, displaystyle, sin, ~, zeta, pi x 3, =] Expects 3 occurences for 'n' but has only 2 Expects 1 occurences for 'frac' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
2πn=11nsinπnxL0LζucosπnuLdu.2πsuperscriptsubscriptn11nπnxLsuperscriptsubscript0LsuperscriptζuπnuLdu\displaystyle{2\over\pi}\sum _{{n=1}}^{\infty}{1\over n}\sin{{\pi nx}\over L}\int _{0}^{L}\zeta^{{\prime}}(u)\cos{{\pi nu}\over L}~{}du.
End of MathML
.

Hit idp457376

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 98
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/130/f051651.xhtml#idp457376
no match at pos:54231(000003%) VariableMap:[1, t, n x 2, sum, \ x 2, _ x 2, ^, infty, =] Expects 3 occurences for 'n' but has only 2 Expects 1 occurences for '(' but has only 0 Expects 1 occurences for ')' but has only 0 Expects 1 occurences for 'frac' but has only 0 Expects 1 occurences for 'sin' but has only 0 Expects 4 occurences for '\' but has only 2 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1tnsuperscriptsubscriptn1subscripttn\sum _{{n=1}}^{{\infty}}t_{{n}}
End of MathML
.

Hit idp939504

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 99
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/201/f080019.xhtml#idp939504
no match at pos:112914(000038%) VariableMap:[E, tilde, ns, A, L, sum, infty, nx, W, S, \ x 7, _ x 2, ^ x 2, n, (, ), ., ,, frac, 2, 1, displaystyle, sin, pi, =] Expects 3 occurences for 'n' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
n=1W~nsS,AEsin2πnxL.superscriptsubscriptn1subscriptsuperscript~WSAnsE2πnxL\displaystyle\sum _{{n=1}}^{{\infty}}\tilde{W}^{{S,A}}_{{ns}}(E)\sin\frac{2\pi nx}{L}.
End of MathML
.

Tags: