Roots of a Polynomial

Results for NTCIR10-FT-7

Query

Original Query

NTCIR10-FT-7 Full Text Query Roots of a Polynomial 8x^{3}+4x^{2}-4x-1 8 x 3 + 4 x 2 - 4 x - 1 8 superscript x 3 4 superscript x 2 4 x 1 root The open problem at http://planetmath.org/?op=getmsg;id=22097 could use a hint. Can we match this to superscript x 3 a superscript x 2 b x c 0 x 3 + a x 2 + b x + c = 0 x^{3}+ax^{2}+bx+c=0 ?

Compiled by FSE

Token-Filter

  • TeXFilter:[3, 2, 1, 4 x 2, +, ^ x 2, 8, - x 2, x x 3]
  • Presentation-MathML:[3, 2, 1, 4 x 2, +, 8, - x 2, x x 3]

MathML-Filter

mrow[mrow[mrow[mn[8];msup[mi[x];mn[3]]];mo[+];mrow[mn[4];msup[mi[x];mn[2]]]];mo[-];mrow[mn[4];mi[x]];mo[-];mn[1]] apply[minus;apply[plus;apply[times;cn[8];apply[csymbol[superscript];ci[x];cn[3]]];apply[times;cn[4];apply[csymbol[superscript];ci[x];cn[2]]]];apply[times;cn[4];ci[x]];cn[1]]

Word filter

Keywords:[root] Rendered Presentation-MathML: 8x3+4x2-4x-1

Results

Summary

Reviewer score 4

  • Items reviewd: 5
  • Accumulated score: 0
  • Formulasearchengine found: 0

Reviewer score 2

  • Items reviewd: 30
  • Accumulated score: -19864912
  • Formulasearchengine found: 12

Reviewer score 0

  • Items reviewd: 65
  • Accumulated score: -19590374
  • Formulasearchengine found: 36
.
+++o
200000+0000
5000-2000000123648
<50005182952
53065100
50000000:0 200000:0 10000:44 5000:44

Short result list

Detailed results for reviewer score 4

Hit id105498

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 45
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/95/f037747.xhtml#id105498
no match at pos:732856(000088%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:
rx=8x4-12x2-1rx8superscriptx412superscriptx21
End of MathML
.

Hit id57842

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 46
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/110/f043625.xhtml#id57842
no match at pos:67039(000017%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:
x-1x-2x-3x-1x-4x-dx1x2x3x1x4xd
End of MathML
.

Hit id74447

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 47
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/153/f061159.xhtml#id74447
no match at pos:314065(000030%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:
x5+x+a-1=x+zx4+zx3+z2x2+z3x+z4+1,superscriptx5xsuperscripta1xzsuperscriptx4zsuperscriptx3superscriptz2superscriptx2superscriptz3xsuperscriptz41
End of MathML
.

Hit id91531

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 48
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/173/f068887.xhtml#id91531
no match at pos:583620(000053%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:
x4-x3-4x2+4x+1superscriptx4superscriptx34superscriptx24x1
End of MathML
.

Hit id91642

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 49
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/173/f068887.xhtml#id91642
no match at pos:585443(000053%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:
x8-x7+x5-x4+x3-x+1superscriptx8superscriptx7superscriptx5superscriptx4superscriptx3x1
End of MathML
.

Detailed results for reviewer score 2

Hit id77525

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 13
  • Formulasearchengine score: 11488
  • Reference to collection: _PREFIX_/8/f002972.xhtml#id77525
found all required tokens in TeX $\displaystyle=\frac{27c^{3}x^{3}-(9b^{4}c-486bc^{3})x+2b^{6}-216b^{3}c^{2}+5832c^{4}}{729c^{3}x^{3}}.$ at pos:358548(39%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.9921875 * TOKEN_SCORE[3] + 1.984375 * TOKEN_SCORE[2] + 1.5 * TOKEN_SCORE[1] + 1.875 * TOKEN_SCORE[4] + 1.75 * TOKEN_SCORE[+] + 1.9990234375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.9921875*0.123506558347516+1.984375*0.00999347474837536+1.5*0.0102451205633244+1.875*0.258430469349049+1.75*0.0160883895861106+1.9990234375*0.00338742677192689+1.75*1.46504673616539+1.875*0.0154682311502303+1.875*0.053601160227971 = 11488.507513352324' final score ~ 11488 reviewer: xxx gave 2
Rendered MathML:
=27c3x3-9b4c-486bc3x+2b6-216b3c2+5832c4729c3x3.27superscriptc3superscriptx39superscriptb4c486bsuperscriptc3x2superscriptb6216superscriptb3superscriptc25832superscriptc4729superscriptc3superscriptx3\displaystyle=\frac{27c^{3}x^{3}-(9b^{4}c-486bc^{3})x+2b^{6}-216b^{3}c^{2}+5832c^{4}}{729c^{3}x^{3}}.
End of MathML
.

Hit id78475

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 16
  • Formulasearchengine score: 11484
  • Reference to collection: _PREFIX_/209/f083229.xhtml#id78475
found all required tokens in TeX $\displaystyle 4x^{3}-3x,\qquad{\cal T}_{4}(x)=8x^{4}-8x^{2}+1,$ at pos:376234(25%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.75 * TOKEN_SCORE[3] + 1.5 * TOKEN_SCORE[2] + 1.5 * TOKEN_SCORE[1] + 1.875 * TOKEN_SCORE[4] + 1.5 * TOKEN_SCORE[+] + 1.875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.75 * TOKEN_SCORE[-] + 1.96875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.75*0.123506558347516+1.5*0.00999347474837536+1.5*0.0102451205633244+1.875*0.258430469349049+1.5*0.0160883895861106+1.875*0.00338742677192689+1.75*1.46504673616539+1.75*0.0154682311502303+1.96875*0.053601160227971 = 11484.897216176074' final score ~ 11484 reviewer: xxx gave 2
Rendered MathML:
4x3-3x,T4x=8x4-8x2+1,4superscriptx33xsubscriptT4x8superscriptx48superscriptx21\displaystyle 4x^{3}-3x,\qquad{\cal T}_{4}(x)=8x^{4}-8x^{2}+1,
End of MathML
.

Hit id78767

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 18
  • Formulasearchengine score: 11483
  • Reference to collection: _PREFIX_/209/f083229.xhtml#id78767
found all required tokens in TeX $\displaystyle 16x^{5}-20x^{3}+5x,\qquad{\cal T}_{6}(x)=32x^{6}-48x^{4}+18x^{2}-1.$ at pos:380650(25%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.75 * TOKEN_SCORE[3] + 1.875 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.75 * TOKEN_SCORE[+] + 1.96875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.9921875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.75*0.123506558347516+1.875*0.00999347474837536+1.875*0.0102451205633244+1.75*0.258430469349049+1.75*0.0160883895861106+1.96875*0.00338742677192689+1.75*1.46504673616539+1.875*0.0154682311502303+1.9921875*0.053601160227971 = 11483.178730107702' final score ~ 11483 reviewer: xxx gave 2
Rendered MathML:
16x5-20x3+5x,T6x=32x6-48x4+18x2-1.16superscriptx520superscriptx35xsubscriptT6x32superscriptx648superscriptx418superscriptx21.\displaystyle 16x^{5}-20x^{3}+5x,\qquad{\cal T}_{6}(x)=32x^{6}-48x^{4}+18x^{2}-1.
End of MathML
.

Hit idp21311888

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 21
  • Formulasearchengine score: 11479
  • Reference to collection: _PREFIX_/131/f052272.xhtml#idp21311888
found all required tokens in TeX $8x^{3}-(4+8\mu)x^{2}-(2-4\mu+16\nu)x+1=0,$ at pos:219159(45%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9999999850988388 * WORD_SCORE[root] + 1.5 * TOKEN_SCORE[3] + 1.75 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.875 * TOKEN_SCORE[+] + 1.75 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.875 * TOKEN_SCORE[x] =+100.0+1.9999999850988388*5.69550408753894+1.5*0.123506558347516+1.75*0.00999347474837536+1.75*0.0102451205633244+1.75*0.258430469349049+1.875*0.0160883895861106+1.75*0.00338742677192689+1.75*1.46504673616539+1.875*0.0154682311502303+1.875*0.053601160227971 = 11479.336941533424' final score ~ 11479 reviewer: xxx gave 2
Rendered MathML:
8x3-(4+8μ)x2-(2-4μ+16ν)x+1=0,8superscriptx348μsuperscriptx224μ16νx108x^{3}-(4+8\mu)x^{2}-(2-4\mu+16\nu)x+1=0,
End of MathML
.

Hit idp21862736

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 23
  • Formulasearchengine score: 11476
  • Reference to collection: _PREFIX_/121/f048393.xhtml#idp21862736
found all required tokens in TeX $\displaystyle\frac{1+12x-24x^{2}+8x^{4}}{(1-8x+4x^{2}+4x^{3})(1+2x-2x^{2})}.$ at pos:286579(59%) Scoringfunction: ' + TeX_HIT_SCORE + 1.984375 * WORD_SCORE[root] + 1.5 * TOKEN_SCORE[3] + 1.9921875 * TOKEN_SCORE[2] + 1.9375 * TOKEN_SCORE[1] + 1.9375 * TOKEN_SCORE[4] + 1.96875 * TOKEN_SCORE[+] + 1.96875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.99609375 * TOKEN_SCORE[x] =+100.0+1.984375*5.69550408753894+1.5*0.123506558347516+1.9921875*0.00999347474837536+1.9375*0.0102451205633244+1.9375*0.258430469349049+1.96875*0.0160883895861106+1.96875*0.00338742677192689+1.75*1.46504673616539+1.875*0.0154682311502303+1.99609375*0.053601160227971 = 11476.591426823667' final score ~ 11476 reviewer: xxx gave 2
Rendered MathML:
1+12x-24x2+8x41-8x+4x2+4x31+2x-2x2.112x24superscriptx28superscriptx418x4superscriptx24superscriptx312x2superscriptx2\displaystyle\frac{1+12x-24x^{2}+8x^{4}}{(1-8x+4x^{2}+4x^{3})(1+2x-2x^{2})}.
End of MathML
.

Hit id146857

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 31
  • Formulasearchengine score: 11448
  • Reference to collection: _PREFIX_/149/f059544.xhtml#id146857
found all required tokens in TeX $\displaystyle\mathrm{f_{3}}(x,\, y)=-{\displaystyle\frac{7}{16}}\, I\,\sqrt{5}\, y^{{3}}+{\displaystyle\frac{433}{192}}\, I\, y^{{2}}\,\sqrt{5}\, x-{\displaystyle\frac{1}{192}}\, I\, y^{{2}}\,\sqrt{5}-{\displaystyle\frac{27}{8}}\, I\, y\,\sqrt{5}\, x^{{2}}+{\displaystyle\frac{1}{24}}\, I\, y\,\sqrt{5}\, x$ at pos:1440495(60%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.9375 * TOKEN_SCORE[3] + 1.9921875 * TOKEN_SCORE[2] + 1.96875 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.75 * TOKEN_SCORE[+] + 1.9375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.9375 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.9375*0.123506558347516+1.9921875*0.00999347474837536+1.96875*0.0102451205633244+1.75*0.258430469349049+1.75*0.0160883895861106+1.9375*0.00338742677192689+1.5*1.46504673616539+1.875*0.0154682311502303+1.9375*0.053601160227971 = 11448.777751656413' final score ~ 11448 reviewer: xxx gave 2
Rendered MathML:
f3x,y=-716I5y3+433192Iy25x-1192Iy25-278Iy5x2+124Iy5xsubscriptf3xy716I5superscripty3433192Isuperscripty25x1192Isuperscripty25278Iy5superscriptx2124Iy5x\displaystyle\mathrm{f_{3}}(x,\, y)=-{\displaystyle\frac{7}{16}}\, I\,\sqrt{5}\, y^{{3}}+{\displaystyle\frac{433}{192}}\, I\, y^{{2}}\,\sqrt{5}\, x-{\displaystyle\frac{1}{192}}\, I\, y^{{2}}\,\sqrt{5}-{\displaystyle\frac{27}{8}}\, I\, y\,\sqrt{5}\, x^{{2}}+{\displaystyle\frac{1}{24}}\, I\, y\,\sqrt{5}\, x
End of MathML
.

Hit idp21838752

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 36
  • Formulasearchengine score: 11427
  • Reference to collection: _PREFIX_/121/f048393.xhtml#idp21838752
found all required tokens in TeX $\displaystyle\frac{1+7x-6x^{2}}{1-4x-8x^{2}+6x^{3}},$ at pos:283490(58%) Scoringfunction: ' + TeX_HIT_SCORE + 1.984375 * WORD_SCORE[root] + 1.5 * TOKEN_SCORE[3] + 1.75 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[4] + 1.75 * TOKEN_SCORE[+] + 1.875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.96875 * TOKEN_SCORE[x] =+100.0+1.984375*5.69550408753894+1.5*0.123506558347516+1.75*0.00999347474837536+1.75*0.0102451205633244+1.5*0.258430469349049+1.75*0.0160883895861106+1.875*0.00338742677192689+1.5*1.46504673616539+1.875*0.0154682311502303+1.96875*0.053601160227971 = 11427.694543587704' final score ~ 11427 reviewer: xxx gave 2
Rendered MathML:
1+7x-6x21-4x-8x2+6x3,17x6superscriptx214x8superscriptx26superscriptx3\displaystyle\frac{1+7x-6x^{2}}{1-4x-8x^{2}+6x^{3}},
End of MathML
.

Hit id68601

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 37
  • Formulasearchengine score: 11404
  • Reference to collection: _PREFIX_/191/f076128.xhtml#id68601
found all required tokens in TeX $\displaystyle x\biggr[\frac{8x^{2}+5x-7}{12(x-1)^{3}}-\frac{(3x^{2}-2x)\ln x}{2(x-1)^{4}}\biggr]$ at pos:231107(33%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9375 * WORD_SCORE[root] + 1.75 * TOKEN_SCORE[3] + 1.96875 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[4] + 1.5 * TOKEN_SCORE[+] + 1.9375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.96875 * TOKEN_SCORE[-] + 1.99609375 * TOKEN_SCORE[x] =+100.0+1.9375*5.69550408753894+1.75*0.123506558347516+1.96875*0.00999347474837536+1.875*0.0102451205633244+1.5*0.258430469349049+1.5*0.0160883895861106+1.9375*0.00338742677192689+1.5*1.46504673616539+1.96875*0.0154682311502303+1.99609375*0.053601160227971 = 11404.341745420417' final score ~ 11404 reviewer: xxx gave 2
Rendered MathML:
x[8x2+5x-712x-13-3x2-2xlnx2x-14]x\displaystyle x\biggr[\frac{8x^{2}+5x-7}{12(x-1)^{3}}-\frac{(3x^{2}-2x)\ln x}{2(x-1)^{4}}\biggr]
End of MathML
.

Hit id89816

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 39
  • Formulasearchengine score: 11364
  • Reference to collection: _PREFIX_/193/f076884.xhtml#id89816
found all required tokens in TeX $\displaystyle\frac{x(x^{4}+x^{3}+x^{2}+x+1)}{1-x-2x^{2}-2x^{3}-x^{4}-x^{5}}.$ at pos:553872(89%) Scoringfunction: ' + TeX_HIT_SCORE + 1.984375 * WORD_SCORE[root] + 1.75 * TOKEN_SCORE[3] + 1.9375 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.9921875 * TOKEN_SCORE[^] + 1.0 * TOKEN_SCORE[8] + 1.96875 * TOKEN_SCORE[-] + 1.9990234375 * TOKEN_SCORE[x] =+100.0+1.984375*5.69550408753894+1.75*0.123506558347516+1.9375*0.00999347474837536+1.75*0.0102451205633244+1.75*0.258430469349049+1.9375*0.0160883895861106+1.9921875*0.00338742677192689+1.0*1.46504673616539+1.96875*0.0154682311502303+1.9990234375*0.053601160227971 = 11364.826647640048' final score ~ 11364 reviewer: xxx gave 2
Rendered MathML:
xx4+x3+x2+x+11-x-2x2-2x3-x4-x5.xsuperscriptx4superscriptx3superscriptx2x11x2superscriptx22superscriptx3superscriptx4superscriptx5\displaystyle\frac{x(x^{4}+x^{3}+x^{2}+x+1)}{1-x-2x^{2}-2x^{3}-x^{4}-x^{5}}.
End of MathML
.

Hit id61918

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 40
  • Formulasearchengine score: 11297
  • Reference to collection: _PREFIX_/29/f011423.xhtml#id61918
found all required tokens in TeX $\displaystyle x\left[\frac{8x^{2}+5x-7}{12(x-1)^{3}}-\frac{(3x^{2}-2x)\ln x}{2(x-1)^{4}}\right]$ at pos:128283(21%) Scoringfunction: ' + TeX_HIT_SCORE + 1.75 * WORD_SCORE[root] + 1.75 * TOKEN_SCORE[3] + 1.96875 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[4] + 1.5 * TOKEN_SCORE[+] + 1.9375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.96875 * TOKEN_SCORE[-] + 1.99609375 * TOKEN_SCORE[x] =+100.0+1.75*5.69550408753894+1.75*0.123506558347516+1.96875*0.00999347474837536+1.875*0.0102451205633244+1.5*0.258430469349049+1.5*0.0160883895861106+1.9375*0.00338742677192689+1.5*1.46504673616539+1.96875*0.0154682311502303+1.99609375*0.053601160227971 = 11297.551043779064' final score ~ 11297 reviewer: xxx gave 2
Rendered MathML:
x8x2+5x-712x-13-3x2-2xlnx2x-14x8superscriptx25x712superscriptx133superscriptx22xx2superscriptx14\displaystyle x\left[\frac{8x^{2}+5x-7}{12(x-1)^{3}}-\frac{(3x^{2}-2x)\ln x}{2(x-1)^{4}}\right]
End of MathML
.

Hit id104375

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 50
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/173/f068887.xhtml#id104375
no match at pos:789252(000071%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
=Qx/x4-x3+x2-x+1Qxsuperscriptx4superscriptx3superscriptx2x1
End of MathML
.

Hit id105824

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 51
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/194/f077475.xhtml#id105824
no match at pos:811028(000094%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
Qx:=P-x1-4x2+4x4-2x64x53x4-4x2+2:=QxsuperscriptPx14superscriptx24superscriptx42superscriptx64superscriptx53superscriptx44superscriptx22
End of MathML
.

Hit id108402

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 52
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/165/f065721.xhtml#id108402
no match at pos:848725(000081%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
8x3+5x2-7x12x-13-3x3-2x22x-14lnx.8superscriptx35superscriptx27x12superscriptx133superscriptx32superscriptx22superscriptx14x
End of MathML
.

Hit id108867

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 53
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/79/f031296.xhtml#id108867
no match at pos:850759(000076%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
3x3-2x24x-14lnx+-8x3-5x2+7x24x-13,3superscriptx32superscriptx24superscriptx14x8superscriptx35superscriptx27x24superscriptx13
End of MathML
.

Hit id126514

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 54
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/108/f042810.xhtml#id126514
no match at pos:1141887(000093%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
-7+5x+8x261-x3-2x-3x21-x4logx75x8superscriptx26superscript1x32x3superscriptx2superscript1x4x
End of MathML
.

Hit id139737

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 55
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/194/f077482.xhtml#id139737
no match at pos:1337380(000091%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
Mx,y,2/3,2/3=4273x2-xy-5y28x4+8x3y+112x2y2+120xy3+45y4Mxy23234273superscriptx2xy5superscripty28superscriptx48superscriptx3y112superscriptx2superscripty2120xsuperscripty345superscripty4
End of MathML
.

Hit id55428

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 56
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/170/f067914.xhtml#id55428
no match at pos:29647(000015%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
gx,y=-lny+8x-4x2-141-x2lnx+4x-141-x,gxyy8x4superscriptx214superscript1x2x4x141x
End of MathML
.

Hit id56535

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 57
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/241/f096393.xhtml#id56535
no match at pos:46840(000016%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
3x3-2x24x-14lnx+-8x3-5x2+7x24x-13,3superscriptx32superscriptx24superscriptx14x8superscriptx35superscriptx27x24superscriptx13
End of MathML
.

Hit id57362

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 58
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/96/f038077.xhtml#id57362
no match at pos:58172(000005%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
3x4+8x3+12x2+10x+44x4-10x3+12x2-8x+33superscriptx48superscriptx312superscriptx210x44superscriptx410superscriptx312superscriptx28x3
End of MathML
.

Hit id58841

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 59
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/88/f034892.xhtml#id58841
no match at pos:82049(000012%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
8x+4x2+x3-x421-x3ln2x-4x-x31-x2L21-x8x4superscriptx2superscriptx3superscriptx42superscript1x3superscript2x4xsuperscriptx3superscript1x2subscriptL21x
End of MathML
.

Hit id62348

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 60
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/124/f049524.xhtml#id62348
no match at pos:133091(000023%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
ESFx5U=Root4#14-4#12+U2&,3-Root4#14-4#12+U2&,4+1ESsubscriptFsubscriptx5URoot4superscript#144superscript#12superscriptU2&3Root4superscript#144superscript#12superscriptU2&41
End of MathML
.

Hit id67075

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 61
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/201/f080253.xhtml#id67075
no match at pos:203355(000021%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
3x3-2x24x-14lnx+-8x3-5x2+7x24x-13,3superscriptx32superscriptx24superscriptx14x8superscriptx35superscriptx27x24superscriptx13
End of MathML
.

Hit id70492

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 62
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/96/f038077.xhtml#id70492
no match at pos:251916(000021%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
2x4+8x3+10x2+9x-1x4-3x3+5x2-52superscriptx48superscriptx310superscriptx29x1superscriptx43superscriptx35superscriptx25
End of MathML
.

Hit id71162

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 63
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/163/f065012.xhtml#id71162
no match at pos:257500(000065%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
1-4x2+α-1-3x+4x2+8x3+D4α2x2x2-114superscriptx2α13x4superscriptx28superscriptx3D4superscriptα2x2superscriptx21
End of MathML
.

Hit id72093

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 64
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/163/f065012.xhtml#id72093
no match at pos:271344(000069%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
1-4x2+α-1-3x+4x2+8x3-D4α2x2x2-114superscriptx2α13x4superscriptx28superscriptx3D4superscriptα2x2superscriptx21
End of MathML
.

Hit id80026

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 65
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/22/f008752.xhtml#id80026
no match at pos:392436(000083%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
=x8-x5-x4-x3+1,superscriptx8superscriptx5superscriptx4superscriptx31
End of MathML
.

Hit id91420

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 66
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/67/f026776.xhtml#id91420
no match at pos:579699(000066%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
2x3+3x2-6x+1-6x2lnx12x-14,2superscriptx33superscriptx26x16superscriptx2x12superscriptx14
End of MathML
.

Hit id97640

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 67
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/89/f035257.xhtml#id97640
no match at pos:677699(000084%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:
3x3-2x24x-14lnx+-8x3-5x2+7x24x-13,3superscriptx32superscriptx24superscriptx14x8superscriptx35superscriptx27x24superscriptx13
End of MathML
.

Hit id59967

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 97
  • Formulasearchengine score: -9989612
  • Reference to collection: _PREFIX_/192/f076480.xhtml#id59967
found all required tokens in TeX $\begin{array}[]{lll}T_{0}^{*}(x)&=&1,\\ T_{1}^{*}(x)&=&2x-1,\\ T_{2}^{*}(x)&=&8x^{2}-8x+1,\\ T_{3}^{*}(x)&=&32x^{3}-48x^{2}+18x-1,\\ T_{4}^{*}(x)&=&128x^{4}-256x^{3}+160x^{2}-32x+1,\\ T_{5}^{*}(x)&=&512x^{5}-1280x^{4}+1120x^{3}-400x^{2}+50x-1.\\ \end{array}$ at pos:92437(24%) Scoringfunction: ' + TeX_HIT_SCORE + NO_TEXT_FOUND + 1.984375 * TOKEN_SCORE[3] + 1.9998779296875 * TOKEN_SCORE[2] + 1.99993896484375 * TOKEN_SCORE[1] + 1.96875 * TOKEN_SCORE[4] + 1.984375 * TOKEN_SCORE[+] + 1.9999847412109375 * TOKEN_SCORE[^] + 1.984375 * TOKEN_SCORE[8] + 1.998046875 * TOKEN_SCORE[-] + 1.9999995231628418 * TOKEN_SCORE[x] =+100.0+-100000.0+1.984375*0.123506558347516+1.9998779296875*0.00999347474837536+1.99993896484375*0.0102451205633244+1.96875*0.258430469349049+1.984375*0.0160883895861106+1.9999847412109375*0.00338742677192689+1.984375*1.46504673616539+1.998046875*0.0154682311502303+1.9999995231628418*0.053601160227971 = -9989612.16454785' final score ~ -9989612 reviewer: xxx gave 2
Rendered MathML:
T0*x=1,T1*x=2x-1,T2*x=8x2-8x+1,T3*x=32x3-48x2+18x-1,T4*x=128x4-256x3+160x2-32x+1,T5*x=512x5-1280x4+1120x3-400x2+50x-1.⁢T0*x=1⁢T1*x=-⁢2x1⁢T2*x=+-⁢8x2⁢8x1⁢T3*x=-+-⁢32x3⁢48x2⁢18x1⁢T4*x=+-+-⁢128x4⁢256x3⁢160x2⁢32x1⁢T5*x=-+-+-⁢512x5⁢1280x4⁢1120x3⁢400x2⁢50x1.\begin{array}[]{lll}T_{0}^{*}(x)&=&1,\\ T_{1}^{*}(x)&=&2x-1,\\ T_{2}^{*}(x)&=&8x^{2}-8x+1,\\ T_{3}^{*}(x)&=&32x^{3}-48x^{2}+18x-1,\\ T_{4}^{*}(x)&=&128x^{4}-256x^{3}+160x^{2}-32x+1,\\ T_{5}^{*}(x)&=&512x^{5}-1280x^{4}+1120x^{3}-400x^{2}+50x-1.\\ \end{array}
End of MathML
.

Hit id56253

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 98
  • Formulasearchengine score: -9989650
  • Reference to collection: _PREFIX_/192/f076480.xhtml#id56253
found all required tokens in TeX $\begin{array}[]{lll}T_{0}(x)&=&1,\\ T_{1}(x)&=&x,\\ T_{2}(x)&=&2x^{2}-1,\\ T_{3}(x)&=&4x^{3}-3x,\\ T_{4}(x)&=&8x^{4}-8x^{2}+1,\\ T_{5}(x)&=&16x^{5}-20x^{3}+5x.\end{array}$ at pos:38503(10%) Scoringfunction: ' + TeX_HIT_SCORE + NO_TEXT_FOUND + 1.9375 * TOKEN_SCORE[3] + 1.96875 * TOKEN_SCORE[2] + 1.96875 * TOKEN_SCORE[1] + 1.875 * TOKEN_SCORE[4] + 1.75 * TOKEN_SCORE[+] + 1.984375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.999969482421875 * TOKEN_SCORE[x] =+100.0+-100000.0+1.9375*0.123506558347516+1.96875*0.00999347474837536+1.96875*0.0102451205633244+1.875*0.258430469349049+1.75*0.0160883895861106+1.984375*0.00338742677192689+1.75*1.46504673616539+1.9375*0.0154682311502303+1.999969482421875*0.053601160227971 = -9989650.042540107' final score ~ -9989650 reviewer: xxx gave 2
Rendered MathML:
T0x=1,T1x=x,T2x=2x2-1,T3x=4x3-3x,T4x=8x4-8x2+1,T5x=16x5-20x3+5x.⁢T0x=1⁢T1x=x⁢T2x=-⁢2x21⁢T3x=-⁢4x3⁢3x⁢T4x=+-⁢8x4⁢8x21⁢T5x=+-⁢16x5⁢20x3⁢5x\begin{array}[]{lll}T_{0}(x)&=&1,\\ T_{1}(x)&=&x,\\ T_{2}(x)&=&2x^{2}-1,\\ T_{3}(x)&=&4x^{3}-3x,\\ T_{4}(x)&=&8x^{4}-8x^{2}+1,\\ T_{5}(x)&=&16x^{5}-20x^{3}+5x.\end{array}
End of MathML
.

Detailed results for reviewer score 0

Hit id127119

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 1
  • Formulasearchengine score: 11509
  • Reference to collection: _PREFIX_/188/f074836.xhtml#id127119
found all required tokens in TeX $\displaystyle\left.8\,{z}^{{2}}{n}^{{2}}+12\,{z}^{{2}}{n}^{{3}}+{n}^{{6}}{z}^{{2}}-3\,{n}^{{5}}{z}^{{2}}+{n}^{{4}}{y}^{{2}}-11\,{n}^{{3}}{y}^{{2}}-128\, yx-48\,{n}^{{2}}{x}^{{2}}+32\,{y}^{{2}}-4\,{n}^{{4}}{x}^{{2}}-36\,{n}^{{3}}{x}^{{2}}-\right.$ at pos:1152652(94%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.984375 * TOKEN_SCORE[3] + 1.999969482421875 * TOKEN_SCORE[2] + 1.9375 * TOKEN_SCORE[1] + 1.9375 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.9999980926513672 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[8] + 1.9921875 * TOKEN_SCORE[-] + 1.875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.984375*0.123506558347516+1.999969482421875*0.00999347474837536+1.9375*0.0102451205633244+1.9375*0.258430469349049+1.9375*0.0160883895861106+1.9999980926513672*0.00338742677192689+1.875*1.46504673616539+1.9921875*0.0154682311502303+1.875*0.053601160227971 = 11509.286362616216' final score ~ 11509 reviewer: xxx gave 0
Rendered MathML:
8z2n2+12z2n3+n6z2-3n5z2+n4y2-11n3y2-128yx-48n2x2+32y2-4n4x2-36n3x2-8superscriptz2superscriptn212superscriptz2superscriptn3superscriptn6superscriptz23superscriptn5superscriptz2superscriptn4superscripty211superscriptn3superscripty2128yx48superscriptn2superscriptx232superscripty24superscriptn4superscriptx236superscriptn3superscriptx2\displaystyle\left.8\,{z}^{{2}}{n}^{{2}}+12\,{z}^{{2}}{n}^{{3}}+{n}^{{6}}{z}^{{2}}-3\,{n}^{{5}}{z}^{{2}}+{n}^{{4}}{y}^{{2}}-11\,{n}^{{3}}{y}^{{2}}-128\, yx-48\,{n}^{{2}}{x}^{{2}}+32\,{y}^{{2}}-4\,{n}^{{4}}{x}^{{2}}-36\,{n}^{{3}}{x}^{{2}}-\right.
End of MathML
.

Hit id89606

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 2
  • Formulasearchengine score: 11509
  • Reference to collection: _PREFIX_/71/f028063.xhtml#id89606
found all required tokens in TeX $\displaystyle{11\over 336\tilde{m}x^{3}}-{11\over 448\tilde{m}^{2}x^{2}}-{11\over 448\tilde{m}^{3}x}+{11\ln({x\over-2\tilde{m}+x})\over 896\tilde{m}^{4}}-$ at pos:547912(86%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.9375 * TOKEN_SCORE[3] + 1.875 * TOKEN_SCORE[2] + 1.99609375 * TOKEN_SCORE[1] + 1.96875 * TOKEN_SCORE[4] + 1.75 * TOKEN_SCORE[+] + 1.96875 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.96875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.9375*0.123506558347516+1.875*0.00999347474837536+1.99609375*0.0102451205633244+1.96875*0.258430469349049+1.75*0.0160883895861106+1.96875*0.00338742677192689+1.875*1.46504673616539+1.9375*0.0154682311502303+1.96875*0.053601160227971 = 11509.55583952802' final score ~ 11509 reviewer: xxx gave 0
Rendered MathML:
11336m~x3-11448m~2x2-11448m~3x+11lnx-2m~+x896m~4-11336~msuperscriptx311448superscript~m2superscriptx211448superscript~m3x11x2~mx896superscript~m4\displaystyle{11\over 336\tilde{m}x^{3}}-{11\over 448\tilde{m}^{2}x^{2}}-{11\over 448\tilde{m}^{3}x}+{11\ln({x\over-2\tilde{m}+x})\over 896\tilde{m}^{4}}-
End of MathML
.

Hit id130416

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 3
  • Formulasearchengine score: 11508
  • Reference to collection: _PREFIX_/188/f074836.xhtml#id130416
found all required tokens in TeX $\displaystyle\left.{n}^{{3}}{y}^{{2}}+32\,{x}^{{2}}+16\, yx-16\,{n}^{{2}}{x}^{{2}}-16\,{y}^{{2}}-8\,{n}^{{3}}{x}^{{2}}-8\,{y}^{{2}}n-4\, n{x}^{{2}}+3\,{n}^{{4}}zy-4\, zny-48\, znx+\right.$ at pos:1203940(98%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.9375 * TOKEN_SCORE[3] + 1.998046875 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.9375 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.99951171875 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[8] + 1.9921875 * TOKEN_SCORE[-] + 1.9375 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.9375*0.123506558347516+1.998046875*0.00999347474837536+1.875*0.0102451205633244+1.9375*0.258430469349049+1.9375*0.0160883895861106+1.99951171875*0.00338742677192689+1.875*1.46504673616539+1.9921875*0.0154682311502303+1.9375*0.053601160227971 = 11508.976314763397' final score ~ 11508 reviewer: xxx gave 0
Rendered MathML:
n3y2+32x2+16yx-16n2x2-16y2-8n3x2-8y2n-4nx2+3n4zy-4zny-48znx+superscriptn3superscripty232superscriptx216yx16superscriptn2superscriptx216superscripty28superscriptn3superscriptx28superscripty2n4nsuperscriptx23superscriptn4zy4zny48znx\displaystyle\left.{n}^{{3}}{y}^{{2}}+32\,{x}^{{2}}+16\, yx-16\,{n}^{{2}}{x}^{{2}}-16\,{y}^{{2}}-8\,{n}^{{3}}{x}^{{2}}-8\,{y}^{{2}}n-4\, n{x}^{{2}}+3\,{n}^{{4}}zy-4\, zny-48\, znx+\right.
End of MathML
.

Hit id148272

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 4
  • Formulasearchengine score: 11507
  • Reference to collection: _PREFIX_/27/f010486.xhtml#id148272
found all required tokens in TeX $\displaystyle+4\rho^{4}-128\rho x-208\rho^{2}x-45\rho^{3}x+48x^{2}+332\rho x^{2}$ at pos:1481301(79%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.875 * TOKEN_SCORE[3] + 1.984375 * TOKEN_SCORE[2] + 1.5 * TOKEN_SCORE[1] + 1.9375 * TOKEN_SCORE[4] + 1.875 * TOKEN_SCORE[+] + 1.96875 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.96875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.875*0.123506558347516+1.984375*0.00999347474837536+1.5*0.0102451205633244+1.9375*0.258430469349049+1.875*0.0160883895861106+1.96875*0.00338742677192689+1.875*1.46504673616539+1.875*0.0154682311502303+1.96875*0.053601160227971 = 11507.681806348886' final score ~ 11507 reviewer: xxx gave 0
Rendered MathML:
+4ρ4-128ρx-208ρ2x-45ρ3x+48x2+332ρx24superscriptρ4128ρx208superscriptρ2x45superscriptρ3x48superscriptx2332ρsuperscriptx2\displaystyle+4\rho^{4}-128\rho x-208\rho^{2}x-45\rho^{3}x+48x^{2}+332\rho x^{2}
End of MathML
.

Hit id146101

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 5
  • Formulasearchengine score: 11498
  • Reference to collection: _PREFIX_/27/f010486.xhtml#id146101
found all required tokens in TeX $\displaystyle+24x-82\rho x-110\rho^{2}x-22\rho^{3}x-40x^{2}+186\rho x^{2}+85\rho^{2}x^{2}$ at pos:1448403(77%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.5 * TOKEN_SCORE[3] + 1.998046875 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.875 * TOKEN_SCORE[+] + 1.984375 * TOKEN_SCORE[^] + 1.875 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.9921875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.5*0.123506558347516+1.998046875*0.00999347474837536+1.875*0.0102451205633244+1.75*0.258430469349049+1.875*0.0160883895861106+1.984375*0.00338742677192689+1.875*1.46504673616539+1.9375*0.0154682311502303+1.9921875*0.053601160227971 = 11498.830191103747' final score ~ 11498 reviewer: xxx gave 0
Rendered MathML:
+24x-82ρx-110ρ2x-22ρ3x-40x2+186ρx2+85ρ2x224x82ρx110superscriptρ2x22superscriptρ3x40superscriptx2186ρsuperscriptx285superscriptρ2superscriptx2\displaystyle+24x-82\rho x-110\rho^{2}x-22\rho^{3}x-40x^{2}+186\rho x^{2}+85\rho^{2}x^{2}
End of MathML
.

Hit id144623

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 6
  • Formulasearchengine score: 11491
  • Reference to collection: _PREFIX_/27/f010486.xhtml#id144623
found all required tokens in TeX $\displaystyle+\rho^{3}x^{2}-44x^{3}-74\rho x^{3}-8\rho^{2}x^{3}+32x^{4}+18\rho x^{4}-4x^{5}\Bigg)$ at pos:1425836(76%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.96875 * TOKEN_SCORE[3] + 1.875 * TOKEN_SCORE[2] + 1.5 * TOKEN_SCORE[1] + 1.984375 * TOKEN_SCORE[4] + 1.875 * TOKEN_SCORE[+] + 1.998046875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.9921875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.96875*0.123506558347516+1.875*0.00999347474837536+1.5*0.0102451205633244+1.984375*0.258430469349049+1.875*0.0160883895861106+1.998046875*0.00338742677192689+1.75*1.46504673616539+1.9375*0.0154682311502303+1.9921875*0.053601160227971 = 11491.860913592183' final score ~ 11491 reviewer: xxx gave 0
Rendered MathML:
+ρ3x2-44x3-74ρx3-8ρ2x3+32x4+18ρx4-4x5)\displaystyle+\rho^{3}x^{2}-44x^{3}-74\rho x^{3}-8\rho^{2}x^{3}+32x^{4}+18\rho x^{4}-4x^{5}\Bigg)
End of MathML
.

Hit id146402

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 7
  • Formulasearchengine score: 11490
  • Reference to collection: _PREFIX_/27/f010486.xhtml#id146402
found all required tokens in TeX $\displaystyle+\rho^{3}x^{2}+4x^{3}-126\rho x^{3}-8\rho^{2}x^{3}+16x^{4}+18\rho x^{4}-4x^{5}\Bigg)$ at pos:1452835(77%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.9375 * TOKEN_SCORE[3] + 1.875 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.9375 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.998046875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.9921875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.9375*0.123506558347516+1.875*0.00999347474837536+1.875*0.0102451205633244+1.9375*0.258430469349049+1.9375*0.0160883895861106+1.998046875*0.00338742677192689+1.75*1.46504673616539+1.875*0.0154682311502303+1.9921875*0.053601160227971 = 11490.651630783623' final score ~ 11490 reviewer: xxx gave 0
Rendered MathML:
+ρ3x2+4x3-126ρx3-8ρ2x3+16x4+18ρx4-4x5)\displaystyle+\rho^{3}x^{2}+4x^{3}-126\rho x^{3}-8\rho^{2}x^{3}+16x^{4}+18\rho x^{4}-4x^{5}\Bigg)
End of MathML
.

Hit id147215

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 8
  • Formulasearchengine score: 11490
  • Reference to collection: _PREFIX_/27/f010486.xhtml#id147215
found all required tokens in TeX $\displaystyle+95\rho^{2}x^{2}+2\rho^{3}x^{2}+4x^{3}-242\rho x^{3}-18\rho^{2}x^{3}+16x^{4}+82\rho x^{4}$ at pos:1465082(78%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.9375 * TOKEN_SCORE[3] + 1.99609375 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.9375 * TOKEN_SCORE[4] + 1.96875 * TOKEN_SCORE[+] + 1.9990234375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.75 * TOKEN_SCORE[-] + 1.9921875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.9375*0.123506558347516+1.99609375*0.00999347474837536+1.75*0.0102451205633244+1.9375*0.258430469349049+1.96875*0.0160883895861106+1.9990234375*0.00338742677192689+1.75*1.46504673616539+1.75*0.0154682311502303+1.9921875*0.053601160227971 = 11490.501835641335' final score ~ 11490 reviewer: xxx gave 0
Rendered MathML:
+95ρ2x2+2ρ3x2+4x3-242ρx3-18ρ2x3+16x4+82ρx495superscriptρ2superscriptx22superscriptρ3superscriptx24superscriptx3242ρsuperscriptx318superscriptρ2superscriptx316superscriptx482ρsuperscriptx4\displaystyle+95\rho^{2}x^{2}+2\rho^{3}x^{2}+4x^{3}-242\rho x^{3}-18\rho^{2}x^{3}+16x^{4}+82\rho x^{4}
End of MathML
.

Hit id77045

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 9
  • Formulasearchengine score: 11490
  • Reference to collection: _PREFIX_/8/f002972.xhtml#id77045
found all required tokens in TeX $\displaystyle=\frac{-27c^{3}x^{3}+27b^{2}c^{2}x^{2}-(9b^{4}c-486bc^{3})x+b^{6}-108b^{3}c^{2}+2916c^{4}}{243c^{3}x^{2}},$ at pos:351318(38%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.984375 * TOKEN_SCORE[3] + 1.998046875 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.9375 * TOKEN_SCORE[4] + 1.875 * TOKEN_SCORE[+] + 1.9998779296875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.9375 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.984375*0.123506558347516+1.998046875*0.00999347474837536+1.75*0.0102451205633244+1.9375*0.258430469349049+1.875*0.0160883895861106+1.9998779296875*0.00338742677192689+1.75*1.46504673616539+1.9375*0.0154682311502303+1.9375*0.053601160227971 = 11490.929083273797' final score ~ 11490 reviewer: xxx gave 0
Rendered MathML:
=-27c3x3+27b2c2x2-9b4c-486bc3x+b6-108b3c2+2916c4243c3x2,27superscriptc3superscriptx327superscriptb2superscriptc2superscriptx29superscriptb4c486bsuperscriptc3xsuperscriptb6108superscriptb3superscriptc22916superscriptc4243superscriptc3superscriptx2\displaystyle=\frac{-27c^{3}x^{3}+27b^{2}c^{2}x^{2}-(9b^{4}c-486bc^{3})x+b^{6}-108b^{3}c^{2}+2916c^{4}}{243c^{3}x^{2}},
End of MathML
.

Hit id89982

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 10
  • Formulasearchengine score: 11490
  • Reference to collection: _PREFIX_/71/f028063.xhtml#id89982
found all required tokens in TeX $\displaystyle(280\tilde{m}^{4}-640\tilde{m}^{3}x+560\tilde{m}^{2}x^{2}-224\tilde{m}x^{3}+35x^{4}){\ln({-2\tilde{m}+x\over 1-2\tilde{m}}\over 140x^{8}}).$ at pos:553748(87%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.875 * TOKEN_SCORE[3] + 1.9921875 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.96875 * TOKEN_SCORE[4] + 1.875 * TOKEN_SCORE[+] + 1.9921875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.984375 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.875*0.123506558347516+1.9921875*0.00999347474837536+1.75*0.0102451205633244+1.96875*0.258430469349049+1.875*0.0160883895861106+1.9921875*0.00338742677192689+1.75*1.46504673616539+1.9375*0.0154682311502303+1.984375*0.053601160227971 = 11490.628620318806' final score ~ 11490 reviewer: xxx gave 0
Rendered MathML:
(280m~4-640m~3x+560m~2x2-224m~x3+35x4)ln(-2m~+x1-2m~140x8).(\displaystyle(280\tilde{m}^{4}-640\tilde{m}^{3}x+560\tilde{m}^{2}x^{2}-224\tilde{m}x^{3}+35x^{4}){\ln({-2\tilde{m}+x\over 1-2\tilde{m}}\over 140x^{8}}).
End of MathML
.

Hit id133060

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 11
  • Formulasearchengine score: 11489
  • Reference to collection: _PREFIX_/149/f059544.xhtml#id133060
found all required tokens in TeX $\displaystyle f_{3}(x,y)={\frac{I\sqrt{30}}{450}}\,(81\, y^{{3}}+180\, y^{{2}}\, x-99\, y^{{2}}+117\, y\, x^{{2}}-234\, y\, x+36\, y+40\, x^{{3}}$ at pos:1221474(51%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.984375 * TOKEN_SCORE[3] + 1.9375 * TOKEN_SCORE[2] + 1.9375 * TOKEN_SCORE[1] + 1.875 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.96875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.75 * TOKEN_SCORE[-] + 1.96875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.984375*0.123506558347516+1.9375*0.00999347474837536+1.9375*0.0102451205633244+1.875*0.258430469349049+1.9375*0.0160883895861106+1.96875*0.00338742677192689+1.75*1.46504673616539+1.75*0.0154682311502303+1.96875*0.053601160227971 = 11489.41296385261' final score ~ 11489 reviewer: xxx gave 0
Rendered MathML:
f3(x,y)=I30450(81y3+180y2x-99y2+117yx2-234yx+36y+40x3\displaystyle f_{3}(x,y)={\frac{I\sqrt{30}}{450}}\,(81\, y^{{3}}+180\, y^{{2}}\, x-99\, y^{{2}}+117\, y\, x^{{2}}-234\, y\, x+36\, y+40\, x^{{3}}
End of MathML
.

Hit id145554

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 12
  • Formulasearchengine score: 11489
  • Reference to collection: _PREFIX_/149/f059544.xhtml#id145554
found all required tokens in TeX $\displaystyle{\mathrm{f_{3}}(x,\, y)={\displaystyle\frac{1}{36}}\, I\,(14\, y^{{3}}+18\, y^{{2}}\, x+12\, y^{{2}}-54\, x^{{2}}\, y+72\, x\, y-10\, x^{{3}}-36\, x^{{2}}+48\, x)\,\sqrt{6}}$ at pos:1420455(59%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.96875 * TOKEN_SCORE[3] + 1.984375 * TOKEN_SCORE[2] + 1.96875 * TOKEN_SCORE[1] + 1.875 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.984375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.9921875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.96875*0.123506558347516+1.984375*0.00999347474837536+1.96875*0.0102451205633244+1.875*0.258430469349049+1.9375*0.0160883895861106+1.984375*0.00338742677192689+1.75*1.46504673616539+1.875*0.0154682311502303+1.9921875*0.053601160227971 = 11489.62311873283' final score ~ 11489 reviewer: xxx gave 0
Rendered MathML:
f3x,y=136I14y3+18y2x+12y2-54x2y+72xy-10x3-36x2+48x6subscriptf3xy136I14superscripty318superscripty2x12superscripty254superscriptx2y72xy10superscriptx336superscriptx248x6\displaystyle{\mathrm{f_{3}}(x,\, y)={\displaystyle\frac{1}{36}}\, I\,(14\, y^{{3}}+18\, y^{{2}}\, x+12\, y^{{2}}-54\, x^{{2}}\, y+72\, x\, y-10\, x^{{3}}-36\, x^{{2}}+48\, x)\,\sqrt{6}}
End of MathML
.

Hit id126897

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 14
  • Formulasearchengine score: 11488
  • Reference to collection: _PREFIX_/188/f074836.xhtml#id126897
found all required tokens in TeX $\displaystyle\left.10\,{y}^{{2}}n-8\,{y}^{{2}}-16\, n{x}^{{2}}-32\,{x}^{{2}}+32\, yx\,\right\}\, R_{{\mu\nu}}^{2}+\frac{2}{\left(y+4\, x\right)^{{2}}{n}^{{2}}}\left\{\,-24\,{n}^{{3}}xy-48\,{n}^{{2}}xy+32\, nxy-\right.$ at pos:1148899(94%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.9375 * TOKEN_SCORE[3] + 1.9998779296875 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.875 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.998046875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.984375 * TOKEN_SCORE[-] + 1.875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.9375*0.123506558347516+1.9998779296875*0.00999347474837536+1.75*0.0102451205633244+1.875*0.258430469349049+1.9375*0.0160883895861106+1.998046875*0.00338742677192689+1.75*1.46504673616539+1.984375*0.0154682311502303+1.875*0.053601160227971 = 11488.57421796863' final score ~ 11488 reviewer: xxx gave 0
Rendered MathML:
10y2n-8y2-16nx2-32x2+32yx}Rμν2+2y+4x2n2{-24n3xy-48n2xy+32nxy-\displaystyle\left.10\,{y}^{{2}}n-8\,{y}^{{2}}-16\, n{x}^{{2}}-32\,{x}^{{2}}+32\, yx\,\right\}\, R_{{\mu\nu}}^{2}+\frac{2}{\left(y+4\, x\right)^{{2}}{n}^{{2}}}\left\{\,-24\,{n}^{{3}}xy-48\,{n}^{{2}}xy+32\, nxy-\right.
End of MathML
.

Hit id129293

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 15
  • Formulasearchengine score: 11485
  • Reference to collection: _PREFIX_/188/f074836.xhtml#id129293
found all required tokens in TeX $\displaystyle\frac{2}{\left(y+4\, x\right)^{{2}}{n}^{{2}}}\left\{\, 24\,{n}^{{4}}{x}^{{2}}+96\,{n}^{{3}}{x}^{{2}}+72\,{n}^{{2}}{x}^{{2}}-192\, n{x}^{{2}}+48\,{y}^{{2}}n-10\,{y}^{{2}}{n}^{{2}}-128\, yx-192\, nxy+\right.$ at pos:1186153(97%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.5 * TOKEN_SCORE[3] + 1.9999847412109375 * TOKEN_SCORE[2] + 1.9375 * TOKEN_SCORE[1] + 1.9375 * TOKEN_SCORE[4] + 1.96875 * TOKEN_SCORE[+] + 1.999755859375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.96875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.5*0.123506558347516+1.9999847412109375*0.00999347474837536+1.9375*0.0102451205633244+1.9375*0.258430469349049+1.96875*0.0160883895861106+1.999755859375*0.00338742677192689+1.75*1.46504673616539+1.9375*0.0154682311502303+1.96875*0.053601160227971 = 11485.459057893764' final score ~ 11485 reviewer: xxx gave 0
Rendered MathML:
2y+4x2n2{ 24n4x2+96n3x2+72n2x2-192nx2+48y2n-10y2n2-128yx-192nxy+\displaystyle\frac{2}{\left(y+4\, x\right)^{{2}}{n}^{{2}}}\left\{\, 24\,{n}^{{4}}{x}^{{2}}+96\,{n}^{{3}}{x}^{{2}}+72\,{n}^{{2}}{x}^{{2}}-192\, n{x}^{{2}}+48\,{y}^{{2}}n-10\,{y}^{{2}}{n}^{{2}}-128\, yx-192\, nxy+\right.
End of MathML
.

Hit id91804

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 17
  • Formulasearchengine score: 11484
  • Reference to collection: _PREFIX_/74/f029378.xhtml#id91804
found all required tokens in TeX $0=36-x^{{2}}(1-0.23261x+0.124889x^{{2}}-0.0742x^{{3}}),$ at pos:585999(46%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.875 * TOKEN_SCORE[3] + 1.984375 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.5 * TOKEN_SCORE[+] + 1.875 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.9375 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.875*0.123506558347516+1.984375*0.00999347474837536+1.875*0.0102451205633244+1.75*0.258430469349049+1.5*0.0160883895861106+1.875*0.00338742677192689+1.75*1.46504673616539+1.875*0.0154682311502303+1.9375*0.053601160227971 = 11484.10476750647' final score ~ 11484 reviewer: xxx gave 0
Rendered MathML:
0=36-x21-0.23261x+0.124889x2-0.0742x3,036superscriptx210.23261x0.124889superscriptx20.0742superscriptx30=36-x^{{2}}(1-0.23261x+0.124889x^{{2}}-0.0742x^{{3}}),
End of MathML
.

Hit id93591

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 19
  • Formulasearchengine score: 11483
  • Reference to collection: _PREFIX_/71/f028063.xhtml#id93591
found all required tokens in TeX $\displaystyle{31\over 840\tilde{m}^{3}x}+{31\ln({x\over x-2\tilde{m}})\over 1680\tilde{m}^{4}}-$ at pos:608554(95%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.875 * TOKEN_SCORE[3] + 1.5 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.5 * TOKEN_SCORE[+] + 1.75 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.75 * TOKEN_SCORE[-] + 1.875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.875*0.123506558347516+1.5*0.00999347474837536+1.875*0.0102451205633244+1.75*0.258430469349049+1.5*0.0160883895861106+1.75*0.00338742677192689+1.75*1.46504673616539+1.75*0.0154682311502303+1.875*0.053601160227971 = 11483.050005597894' final score ~ 11483 reviewer: xxx gave 0
Rendered MathML:
31840m~3x+31lnxx-2m~1680m~4-31840superscript~m3x31xx2~m1680superscript~m4\displaystyle{31\over 840\tilde{m}^{3}x}+{31\ln({x\over x-2\tilde{m}})\over 1680\tilde{m}^{4}}-
End of MathML
.

Hit id150754

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 20
  • Formulasearchengine score: 11480
  • Reference to collection: _PREFIX_/32/f012521.xhtml#id150754
found all required tokens in TeX $\displaystyle+(-1)^{k}\Bigg[-C_{9}x^{{-\frac{1}{2}(\epsilon-1)}}+\frac{1}{24}\Bigg[C_{9}((\epsilon-1)^{2}+8)x^{{-\frac{1}{2}(\epsilon-1)}}+\frac{24(C_{8}+(-1)^{k}C_{2}C_{5})}{x^{3}}$ at pos:1472667(77%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.5 * TOKEN_SCORE[3] + 1.984375 * TOKEN_SCORE[2] + 1.99609375 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.96875 * TOKEN_SCORE[+] + 1.984375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.99609375 * TOKEN_SCORE[-] + 1.875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.5*0.123506558347516+1.984375*0.00999347474837536+1.99609375*0.0102451205633244+1.75*0.258430469349049+1.96875*0.0160883895861106+1.984375*0.00338742677192689+1.75*1.46504673616539+1.99609375*0.0154682311502303+1.875*0.053601160227971 = 11480.240830177587' final score ~ 11480 reviewer: xxx gave 0
Rendered MathML:
+(-1)k[-C9x-12ϵ-1+124[C9((ϵ-1)2+8)x-12ϵ-1+24C8+-1kC2C5x3\displaystyle+(-1)^{k}\Bigg[-C_{9}x^{{-\frac{1}{2}(\epsilon-1)}}+\frac{1}{24}\Bigg[C_{9}((\epsilon-1)^{2}+8)x^{{-\frac{1}{2}(\epsilon-1)}}+\frac{24(C_{8}+(-1)^{k}C_{2}C_{5})}{x^{3}}
End of MathML
.

Hit idp962208

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 22
  • Formulasearchengine score: 11479
  • Reference to collection: _PREFIX_/131/f052272.xhtml#idp962208
found all required tokens in TeX $8x^{3}+(4-8e^{{\gamma _{1}{t}}}(1+|\alpha|^{2}))x^{2}-(6+4e^{{\gamma _{1}{t}}}(|\alpha|^{2}-1))x+1=0.$ at pos:118777(25%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9999999850988388 * WORD_SCORE[root] + 1.5 * TOKEN_SCORE[3] + 1.875 * TOKEN_SCORE[2] + 1.96875 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.984375 * TOKEN_SCORE[^] + 1.75 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.875 * TOKEN_SCORE[x] =+100.0+1.9999999850988388*5.69550408753894+1.5*0.123506558347516+1.875*0.00999347474837536+1.96875*0.0102451205633244+1.75*0.258430469349049+1.9375*0.0160883895861106+1.984375*0.00338742677192689+1.75*1.46504673616539+1.875*0.0154682311502303+1.875*0.053601160227971 = 11479.865917229983' final score ~ 11479 reviewer: xxx gave 0
Rendered MathML:
8x3+(4-8eγ1t(1+|α|2))x2-(6+4eγ1t(|α|2-1))x+1=0.8superscriptx348superscriptesubscriptγ1t1superscriptα2superscriptx264superscriptesubscriptγ1tsuperscriptα21x10.8x^{3}+(4-8e^{{\gamma _{1}{t}}}(1+|\alpha|^{2}))x^{2}-(6+4e^{{\gamma _{1}{t}}}(|\alpha|^{2}-1))x+1=0.
End of MathML
.

Hit id215319

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 24
  • Formulasearchengine score: 11454
  • Reference to collection: _PREFIX_/28/f010853.xhtml#id215319
found all required tokens in TeX $+i\, g_{{\rm A}}C_{{\rm NN}}\frac{G_{{\rm V}}}{\sqrt{2}}\frac{g_{{\rm V}}}{8\pi^{2}}\int d^{4}x_{1}\int\frac{d^{4}x_{2}d^{4}k_{2}}{(2\pi)^{4}}\frac{d^{4}x_{3}d^{4}k_{3}}{(2\pi)^{4}}\, e^{{\displaystyle-ik_{2}\cdot(x_{2}-x_{1})}}e^{{\displaystyle-ik_{3}\cdot(x_{3}-x_{1})}}$ at pos:2560780(85%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.9375 * TOKEN_SCORE[3] + 1.99609375 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.9921875 * TOKEN_SCORE[4] + 1.5 * TOKEN_SCORE[+] + 1.9990234375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.9921875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.9375*0.123506558347516+1.99609375*0.00999347474837536+1.875*0.0102451205633244+1.9921875*0.258430469349049+1.5*0.0160883895861106+1.9990234375*0.00338742677192689+1.5*1.46504673616539+1.9375*0.0154682311502303+1.9921875*0.053601160227971 = 11454.952908945712' final score ~ 11454 reviewer: xxx gave 0
Rendered MathML:
+igACNNGV2gV8π2d4x1d4x2d4k22π4d4x3d4k32π4e-ik2x2-x1e-ik3x3-x1isubscriptgAsubscriptCNNsubscriptGV2subscriptgV8superscriptπ2superscriptd4subscriptx1superscriptd4subscriptx2superscriptd4subscriptk2superscript2π4superscriptd4subscriptx3superscriptd4subscriptk3superscript2π4superscripteisubscriptk2subscriptx2subscriptx1superscripteisubscriptk3subscriptx3subscriptx1+i\, g_{{\rm A}}C_{{\rm NN}}\frac{G_{{\rm V}}}{\sqrt{2}}\frac{g_{{\rm V}}}{8\pi^{2}}\int d^{4}x_{1}\int\frac{d^{4}x_{2}d^{4}k_{2}}{(2\pi)^{4}}\frac{d^{4}x_{3}d^{4}k_{3}}{(2\pi)^{4}}\, e^{{\displaystyle-ik_{2}\cdot(x_{2}-x_{1})}}e^{{\displaystyle-ik_{3}\cdot(x_{3}-x_{1})}}
End of MathML
.

Hit id103875

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 25
  • Formulasearchengine score: 11452
  • Reference to collection: _PREFIX_/149/f059544.xhtml#id103875
found all required tokens in TeX $\displaystyle\mathrm{f_{3}}(x,\, y)=\sqrt{6}\, I\,\left(-{\displaystyle\frac{3}{8}}\, y^{{3}}+{\displaystyle\frac{3}{2}}\, y^{{2}}+{\displaystyle\frac{1}{6}}\,(-{\displaystyle\frac{45}{4}}-{\displaystyle\frac{3}{2}}\, x^{{2}})\, y+{\displaystyle\frac{1}{6}}\,({\displaystyle\frac{9}{2}}+{\displaystyle\frac{9}{4}}\, x^{{2}})\right)$ at pos:762146(32%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.96875 * TOKEN_SCORE[3] + 1.984375 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.875 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.9375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.96875*0.123506558347516+1.984375*0.00999347474837536+1.75*0.0102451205633244+1.875*0.258430469349049+1.9375*0.0160883895861106+1.9375*0.00338742677192689+1.5*1.46504673616539+1.875*0.0154682311502303+1.875*0.053601160227971 = 11452.128821156959' final score ~ 11452 reviewer: xxx gave 0
Rendered MathML:
f3x,y=6I-38y3+32y2+16-454-32x2y+1692+94x2subscriptf3xy6I38superscripty332superscripty21645432superscriptx2y169294superscriptx2\displaystyle\mathrm{f_{3}}(x,\, y)=\sqrt{6}\, I\,\left(-{\displaystyle\frac{3}{8}}\, y^{{3}}+{\displaystyle\frac{3}{2}}\, y^{{2}}+{\displaystyle\frac{1}{6}}\,(-{\displaystyle\frac{45}{4}}-{\displaystyle\frac{3}{2}}\, x^{{2}})\, y+{\displaystyle\frac{1}{6}}\,({\displaystyle\frac{9}{2}}+{\displaystyle\frac{9}{4}}\, x^{{2}})\right)
End of MathML
.

Hit id150246

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 26
  • Formulasearchengine score: 11452
  • Reference to collection: _PREFIX_/27/f010486.xhtml#id150246
found all required tokens in TeX $\displaystyle-176x^{4}-764\rho x^{4}-158\rho^{2}x^{4}-9\rho^{3}x^{4}+432x^{5}+756\rho x^{5}$ at pos:1511137(80%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.75 * TOKEN_SCORE[3] + 1.75 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.984375 * TOKEN_SCORE[4] + 1.75 * TOKEN_SCORE[+] + 1.99609375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.984375 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.75*0.123506558347516+1.75*0.00999347474837536+1.75*0.0102451205633244+1.984375*0.258430469349049+1.75*0.0160883895861106+1.99609375*0.00338742677192689+1.5*1.46504673616539+1.9375*0.0154682311502303+1.984375*0.053601160227971 = 11452.420606420877' final score ~ 11452 reviewer: xxx gave 0
Rendered MathML:
-176x4-764ρx4-158ρ2x4-9ρ3x4+432x5+756ρx5176superscriptx4764ρsuperscriptx4158superscriptρ2superscriptx49superscriptρ3superscriptx4432superscriptx5756ρsuperscriptx5\displaystyle-176x^{4}-764\rho x^{4}-158\rho^{2}x^{4}-9\rho^{3}x^{4}+432x^{5}+756\rho x^{5}
End of MathML
.

Hit id80173

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 27
  • Formulasearchengine score: 11452
  • Reference to collection: _PREFIX_/224/f089276.xhtml#id80173
found all required tokens in TeX $P_{4}^{s}(x)=\frac{2x^{4}-16x^{3}+20x^{2}-8x+1}{2(1-4x)}-\frac{1-6x+10x^{2}-4x^{3}}{2\sqrt{1-4x}}$ at pos:418253(43%) Scoringfunction: ' + TeX_HIT_SCORE + 1.999999761581421 * WORD_SCORE[root] + 1.75 * TOKEN_SCORE[3] + 1.984375 * TOKEN_SCORE[2] + 1.984375 * TOKEN_SCORE[1] + 1.96875 * TOKEN_SCORE[4] + 1.875 * TOKEN_SCORE[+] + 1.984375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.9921875 * TOKEN_SCORE[-] + 1.9990234375 * TOKEN_SCORE[x] =+100.0+1.999999761581421*5.69550408753894+1.75*0.123506558347516+1.984375*0.00999347474837536+1.984375*0.0102451205633244+1.96875*0.258430469349049+1.875*0.0160883895861106+1.984375*0.00338742677192689+1.5*1.46504673616539+1.9921875*0.0154682311502303+1.9990234375*0.053601160227971 = 11452.851259541472' final score ~ 11452 reviewer: xxx gave 0
Rendered MathML:
P4sx=2x4-16x3+20x2-8x+121-4x-1-6x+10x2-4x321-4xsuperscriptsubscriptP4sx2superscriptx416superscriptx320superscriptx28x1214x16x10superscriptx24superscriptx3214xP_{4}^{s}(x)=\frac{2x^{4}-16x^{3}+20x^{2}-8x+1}{2(1-4x)}-\frac{1-6x+10x^{2}-4x^{3}}{2\sqrt{1-4x}}
End of MathML
.

Hit id150570

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 28
  • Formulasearchengine score: 11451
  • Reference to collection: _PREFIX_/149/f059544.xhtml#id150570
found all required tokens in TeX $f_{{2a}}(x,y)=y^{{2}}-{\frac{73}{64}}\, x^{{2}}+x,\quad f_{{3a}}(x,y)=-{\frac{91}{64}}\, x\, y^{{2}}+y^{{2}}+{\frac{827}{512}}\, x^{{3}}-{\frac{41}{16}}\, x^{{2}}+x$ at pos:1499589(62%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.875 * TOKEN_SCORE[3] + 1.99609375 * TOKEN_SCORE[2] + 1.9375 * TOKEN_SCORE[1] + 1.875 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.984375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.99609375 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.875*0.123506558347516+1.99609375*0.00999347474837536+1.9375*0.0102451205633244+1.875*0.258430469349049+1.9375*0.0160883895861106+1.984375*0.00338742677192689+1.5*1.46504673616539+1.875*0.0154682311502303+1.99609375*0.053601160227971 = 11451.839709398862' final score ~ 11451 reviewer: xxx gave 0
Rendered MathML:
f2ax,y=y2-7364x2+x,f3ax,y=-9164xy2+y2+827512x3-4116x2+xsubscriptf2axysuperscripty27364superscriptx2xsubscriptf3axy9164xsuperscripty2superscripty2827512superscriptx34116superscriptx2xf_{{2a}}(x,y)=y^{{2}}-{\frac{73}{64}}\, x^{{2}}+x,\quad f_{{3a}}(x,y)=-{\frac{91}{64}}\, x\, y^{{2}}+y^{{2}}+{\frac{827}{512}}\, x^{{3}}-{\frac{41}{16}}\, x^{{2}}+x
End of MathML
.

Hit id104351

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 29
  • Formulasearchengine score: 11450
  • Reference to collection: _PREFIX_/240/f095957.xhtml#id104351
found all required tokens in TeX $\displaystyle-\frac{3R^{4}}{32p^{8}}\left[160\, S_{4}({\tilde{x}})-1992\,{\tilde{x}}^{2}\, S_{5}({\tilde{x}})+6930\,{\tilde{x}}^{4}\, S_{6}({\tilde{x}})\right.$ at pos:778518(61%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.875 * TOKEN_SCORE[3] + 1.875 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.875 * TOKEN_SCORE[4] + 1.5 * TOKEN_SCORE[+] + 1.9375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.75 * TOKEN_SCORE[-] + 1.96875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.875*0.123506558347516+1.875*0.00999347474837536+1.75*0.0102451205633244+1.875*0.258430469349049+1.5*0.0160883895861106+1.9375*0.00338742677192689+1.5*1.46504673616539+1.75*0.0154682311502303+1.96875*0.053601160227971 = 11450.466934485754' final score ~ 11450 reviewer: xxx gave 0
Rendered MathML:
-3R432p8[160S4(x~)-1992x~2S5(x~)+6930x~4S6(x~)\displaystyle-\frac{3R^{4}}{32p^{8}}\left[160\, S_{4}({\tilde{x}})-1992\,{\tilde{x}}^{2}\, S_{5}({\tilde{x}})+6930\,{\tilde{x}}^{4}\, S_{6}({\tilde{x}})\right.
End of MathML
.

Hit id149890

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 30
  • Formulasearchengine score: 11449
  • Reference to collection: _PREFIX_/27/f010486.xhtml#id149890
found all required tokens in TeX $\displaystyle+976\rho^{2}x^{2}+319\rho^{3}x^{2}+6\rho^{4}x^{2}+96\rho x^{3}-432\rho^{2}x^{3}-18\rho^{3}x^{3}$ at pos:1505866(80%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.9921875 * TOKEN_SCORE[3] + 1.984375 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.99951171875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.75 * TOKEN_SCORE[-] + 1.984375 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.9921875*0.123506558347516+1.984375*0.00999347474837536+1.75*0.0102451205633244+1.75*0.258430469349049+1.9375*0.0160883895861106+1.99951171875*0.00338742677192689+1.5*1.46504673616539+1.75*0.0154682311502303+1.984375*0.053601160227971 = 11449.601824602461' final score ~ 11449 reviewer: xxx gave 0
Rendered MathML:
+976ρ2x2+319ρ3x2+6ρ4x2+96ρx3-432ρ2x3-18ρ3x3976superscriptρ2superscriptx2319superscriptρ3superscriptx26superscriptρ4superscriptx296ρsuperscriptx3432superscriptρ2superscriptx318superscriptρ3superscriptx3\displaystyle+976\rho^{2}x^{2}+319\rho^{3}x^{2}+6\rho^{4}x^{2}+96\rho x^{3}-432\rho^{2}x^{3}-18\rho^{3}x^{3}
End of MathML
.

Hit id136448

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 32
  • Formulasearchengine score: 11448
  • Reference to collection: _PREFIX_/149/f059544.xhtml#id136448
found all required tokens in TeX $\displaystyle\mbox{}-2\, y\, x^{{2}}\,\mathit{t}^{{4}}-10\, y\, x^{{2}}\,\mathit{t}^{{3}}+6\, y\, x^{{2}}\,\mathit{t}^{{2}}-18\,\mathit{t}\, x^{{3}}+2\, y^{{2}}\, x-10\, x^{{2}}\,\mathit{t}-2\,\mathit{t}^{{4}}\, y^{{3}}$ at pos:1274091(53%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.875 * TOKEN_SCORE[3] + 1.998046875 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.75 * TOKEN_SCORE[+] + 1.99951171875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.96875 * TOKEN_SCORE[-] + 1.984375 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.875*0.123506558347516+1.998046875*0.00999347474837536+1.875*0.0102451205633244+1.75*0.258430469349049+1.75*0.0160883895861106+1.99951171875*0.00338742677192689+1.5*1.46504673616539+1.96875*0.0154682311502303+1.984375*0.053601160227971 = 11448.332919334298' final score ~ 11448 reviewer: xxx gave 0
Rendered MathML:
-2yx2t4-10yx2t3+6yx2t2-18tx3+2y2x-10x2t-2t4y32ysuperscriptx2superscriptt410ysuperscriptx2superscriptt36ysuperscriptx2superscriptt218tsuperscriptx32superscripty2x10superscriptx2t2superscriptt4superscripty3\displaystyle\mbox{}-2\, y\, x^{{2}}\,\mathit{t}^{{4}}-10\, y\, x^{{2}}\,\mathit{t}^{{3}}+6\, y\, x^{{2}}\,\mathit{t}^{{2}}-18\,\mathit{t}\, x^{{3}}+2\, y^{{2}}\, x-10\, x^{{2}}\,\mathit{t}-2\,\mathit{t}^{{4}}\, y^{{3}}
End of MathML
.

Hit id106938

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 33
  • Formulasearchengine score: 11447
  • Reference to collection: _PREFIX_/38/f014847.xhtml#id106938
found all required tokens in TeX $M^{2}_{{\eta^{{\prime}}}}=\left(\frac{3}{2}\nu\sigma _{0}^{2}-\frac{1}{3}\nu^{{\prime}}\chi _{0}^{2}\right)(\sigma _{0}^{2}+\frac{4}{9}\chi^{2}_{0})^{{-1}}\kappa^{{-2}}_{\theta}\sigma _{0}=\frac{3f_{0}}{4\kappa^{2}_{\theta}\sqrt{1+x}}\frac{(7\nu-8x\nu^{{\prime}})}{(7+16x)}.$ at pos:824688(26%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.875 * TOKEN_SCORE[3] + 1.99609375 * TOKEN_SCORE[2] + 1.9375 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.875 * TOKEN_SCORE[+] + 1.99951171875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.875*0.123506558347516+1.99609375*0.00999347474837536+1.9375*0.0102451205633244+1.75*0.258430469349049+1.875*0.0160883895861106+1.99951171875*0.00338742677192689+1.5*1.46504673616539+1.9375*0.0154682311502303+1.875*0.053601160227971 = 11447.961503444772' final score ~ 11447 reviewer: xxx gave 0
Rendered MathML:
Mη2=32νσ02-13νχ02σ02+49χ02-1κθ-2σ0=3f04κθ21+x7ν-8xν7+16x.subscriptsuperscriptM2superscriptη32νsuperscriptsubscriptσ0213superscriptνsuperscriptsubscriptχ02superscriptsuperscriptsubscriptσ0249subscriptsuperscriptχ201subscriptsuperscriptκ2θsubscriptσ03subscriptf04subscriptsuperscriptκ2θ1x7ν8xsuperscriptν716xM^{2}_{{\eta^{{\prime}}}}=\left(\frac{3}{2}\nu\sigma _{0}^{2}-\frac{1}{3}\nu^{{\prime}}\chi _{0}^{2}\right)(\sigma _{0}^{2}+\frac{4}{9}\chi^{2}_{0})^{{-1}}\kappa^{{-2}}_{\theta}\sigma _{0}=\frac{3f_{0}}{4\kappa^{2}_{\theta}\sqrt{1+x}}\frac{(7\nu-8x\nu^{{\prime}})}{(7+16x)}.
End of MathML
.

Hit id73526

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 34
  • Formulasearchengine score: 11445
  • Reference to collection: _PREFIX_/239/f095333.xhtml#id73526
found all required tokens in TeX $\displaystyle-4|x_{1}x_{6}-x_{3}x_{4}|^{2}-4|x_{1}x_{8}-x_{2}x_{7}|^{2}$ at pos:303570(72%) Scoringfunction: ' + TeX_HIT_SCORE + 1.9998779296875 * WORD_SCORE[root] + 1.5 * TOKEN_SCORE[3] + 1.875 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.875 * TOKEN_SCORE[4] + 1.0 * TOKEN_SCORE[+] + 1.75 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.99609375 * TOKEN_SCORE[x] =+100.0+1.9998779296875*5.69550408753894+1.5*0.123506558347516+1.875*0.00999347474837536+1.75*0.0102451205633244+1.875*0.258430469349049+1.0*0.0160883895861106+1.75*0.00338742677192689+1.5*1.46504673616539+1.9375*0.0154682311502303+1.99609375*0.053601160227971 = 11445.334574626628' final score ~ 11445 reviewer: xxx gave 0
Rendered MathML:
-4x1x6-x3x42-4x1x8-x2x724superscriptsubscriptx1subscriptx6subscriptx3subscriptx424superscriptsubscriptx1subscriptx8subscriptx2subscriptx72\displaystyle-4|x_{1}x_{6}-x_{3}x_{4}|^{2}-4|x_{1}x_{8}-x_{2}x_{7}|^{2}
End of MathML
.

Hit id96255

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 35
  • Formulasearchengine score: 11442
  • Reference to collection: _PREFIX_/209/f083229.xhtml#id96255
found all required tokens in TeX $\displaystyle\widetilde{y_{m}}^{2}=\left(x^{2}-4\right)\left(x^{2}-3\right)^{2},\qquad P_{8}(x)=x^{2}\left(x^{2}-1\right)^{2}\left(x^{2}-4\right)+2x^{2}.$ at pos:645421(43%) Scoringfunction: ' + TeX_HIT_SCORE + 2.0 * WORD_SCORE[root] + 1.5 * TOKEN_SCORE[3] + 1.9990234375 * TOKEN_SCORE[2] + 1.5 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.5 * TOKEN_SCORE[+] + 1.998046875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.9921875 * TOKEN_SCORE[x] =+100.0+2.0*5.69550408753894+1.5*0.123506558347516+1.9990234375*0.00999347474837536+1.5*0.0102451205633244+1.75*0.258430469349049+1.5*0.0160883895861106+1.998046875*0.00338742677192689+1.5*1.46504673616539+1.9375*0.0154682311502303+1.9921875*0.053601160227971 = 11442.909039039747' final score ~ 11442 reviewer: xxx gave 0
Rendered MathML:
ym~2=x2-4x2-32,P8x=x2x2-12x2-4+2x2.superscript~subscriptym2superscriptx24superscriptsuperscriptx232subscriptP8xsuperscriptx2superscriptsuperscriptx212superscriptx242superscriptx2\displaystyle\widetilde{y_{m}}^{2}=\left(x^{2}-4\right)\left(x^{2}-3\right)^{2},\qquad P_{8}(x)=x^{2}\left(x^{2}-1\right)^{2}\left(x^{2}-4\right)+2x^{2}.
End of MathML
.

Hit id63225

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 38
  • Formulasearchengine score: 11376
  • Reference to collection: _PREFIX_/138/f054835.xhtml#id63225
found all required tokens in TeX $2xy^{3}-2(5x^{2}+3x+1)y^{2}+(6x^{3}+39x^{2}+2x-1)y-(24x^{3}+11x^{2}-4x-1)=0$ at pos:145420(31%) Scoringfunction: ' + TeX_HIT_SCORE + 1.999999761581421 * WORD_SCORE[root] + 1.96875 * TOKEN_SCORE[3] + 1.99609375 * TOKEN_SCORE[2] + 1.96875 * TOKEN_SCORE[1] + 1.75 * TOKEN_SCORE[4] + 1.984375 * TOKEN_SCORE[+] + 1.9921875 * TOKEN_SCORE[^] + 1.0 * TOKEN_SCORE[8] + 1.96875 * TOKEN_SCORE[-] + 1.99609375 * TOKEN_SCORE[x] =+100.0+1.999999761581421*5.69550408753894+1.96875*0.123506558347516+1.99609375*0.00999347474837536+1.96875*0.0102451205633244+1.75*0.258430469349049+1.984375*0.0160883895861106+1.9921875*0.00338742677192689+1.0*1.46504673616539+1.96875*0.0154682311502303+1.99609375*0.053601160227971 = 11376.769821338981' final score ~ 11376 reviewer: xxx gave 0
Rendered MathML:
2xy3-25x2+3x+1y2+6x3+39x2+2x-1y-24x3+11x2-4x-1=02xsuperscripty325superscriptx23x1superscripty26superscriptx339superscriptx22x1y24superscriptx311superscriptx24x102xy^{3}-2(5x^{2}+3x+1)y^{2}+(6x^{3}+39x^{2}+2x-1)y-(24x^{3}+11x^{2}-4x-1)=0
End of MathML
.

Hit id56270

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 41
  • Formulasearchengine score: 11297
  • Reference to collection: _PREFIX_/31/f012150.xhtml#id56270
found all required tokens in TeX $\displaystyle x\biggr[\frac{8x^{2}+5x-7}{12(x-1)^{3}}-\frac{(3x^{2}-2x)\ln x}{2(x-1)^{4}}\biggr]$ at pos:41022(25%) Scoringfunction: ' + TeX_HIT_SCORE + 1.75 * WORD_SCORE[root] + 1.75 * TOKEN_SCORE[3] + 1.96875 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[4] + 1.5 * TOKEN_SCORE[+] + 1.9375 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.96875 * TOKEN_SCORE[-] + 1.99609375 * TOKEN_SCORE[x] =+100.0+1.75*5.69550408753894+1.75*0.123506558347516+1.96875*0.00999347474837536+1.875*0.0102451205633244+1.5*0.258430469349049+1.5*0.0160883895861106+1.9375*0.00338742677192689+1.5*1.46504673616539+1.96875*0.0154682311502303+1.99609375*0.053601160227971 = 11297.551043779064' final score ~ 11297 reviewer: xxx gave 0
Rendered MathML:
x[8x2+5x-712x-13-3x2-2xlnx2x-14]x\displaystyle x\biggr[\frac{8x^{2}+5x-7}{12(x-1)^{3}}-\frac{(3x^{2}-2x)\ln x}{2(x-1)^{4}}\biggr]
End of MathML
.

Hit id66914

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 42
  • Formulasearchengine score: 11224
  • Reference to collection: _PREFIX_/26/f010174.xhtml#id66914
found all required tokens in TeX $G(x)=(2x^{3}+3x^{2}-6x+1-6x^{2}{\rm ln}x)/(x-1)^{4}$ at pos:206478(50%) Scoringfunction: ' + TeX_HIT_SCORE + 1.75 * WORD_SCORE[root] + 1.75 * TOKEN_SCORE[3] + 1.875 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[4] + 1.75 * TOKEN_SCORE[+] + 1.9375 * TOKEN_SCORE[^] + 1.0 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.9921875 * TOKEN_SCORE[x] =+100.0+1.75*5.69550408753894+1.75*0.123506558347516+1.875*0.00999347474837536+1.75*0.0102451205633244+1.5*0.258430469349049+1.75*0.0160883895861106+1.9375*0.00338742677192689+1.0*1.46504673616539+1.875*0.0154682311502303+1.9921875*0.053601160227971 = 11224.313211257393' final score ~ 11224 reviewer: xxx gave 0
Rendered MathML:
Gx=2x3+3x2-6x+1-6x2lnx/x-14Gx2superscriptx33superscriptx26x16superscriptx2lnxsuperscriptx14G(x)=(2x^{3}+3x^{2}-6x+1-6x^{2}{\rm ln}x)/(x-1)^{4}
End of MathML
.

Hit id66719

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 43
  • Formulasearchengine score: 11223
  • Reference to collection: _PREFIX_/26/f010174.xhtml#id66719
found all required tokens in TeX $F(x)=(3x^{2}-4x+1-2x^{2}{\rm ln}x)/(x-1)^{3}$ at pos:203505(49%) Scoringfunction: ' + TeX_HIT_SCORE + 1.75 * WORD_SCORE[root] + 1.75 * TOKEN_SCORE[3] + 1.875 * TOKEN_SCORE[2] + 1.75 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[4] + 1.5 * TOKEN_SCORE[+] + 1.875 * TOKEN_SCORE[^] + 1.0 * TOKEN_SCORE[8] + 1.875 * TOKEN_SCORE[-] + 1.984375 * TOKEN_SCORE[x] =+100.0+1.75*5.69550408753894+1.75*0.123506558347516+1.875*0.00999347474837536+1.75*0.0102451205633244+1.5*0.258430469349049+1.5*0.0160883895861106+1.875*0.00338742677192689+1.0*1.46504673616539+1.875*0.0154682311502303+1.984375*0.053601160227971 = 11223.847954193987' final score ~ 11223 reviewer: xxx gave 0
Rendered MathML:
Fx=3x2-4x+1-2x2lnx/x-13Fx3superscriptx24x12superscriptx2lnxsuperscriptx13F(x)=(3x^{2}-4x+1-2x^{2}{\rm ln}x)/(x-1)^{3}
End of MathML
.

Hit id82650

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 44
  • Formulasearchengine score: 11157
  • Reference to collection: _PREFIX_/187/f074734.xhtml#id82650
found all required tokens in TeX $\rho=\frac{C}{8\,\pi\left(1+\, x\right)^{{2}}}\left[\frac{3}{2}\left(3+x\right)-\frac{3K\left(1+3\, x\right)}{\left(1+4\, x\right)^{{\frac{3}{2}}}}\right]$ at pos:426604(89%) Scoringfunction: ' + TeX_HIT_SCORE + 1.5 * WORD_SCORE[root] + 1.96875 * TOKEN_SCORE[3] + 1.875 * TOKEN_SCORE[2] + 1.875 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.75 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.5 * TOKEN_SCORE[-] + 1.9375 * TOKEN_SCORE[x] =+100.0+1.5*5.69550408753894+1.96875*0.123506558347516+1.875*0.00999347474837536+1.875*0.0102451205633244+1.5*0.258430469349049+1.9375*0.0160883895861106+1.75*0.00338742677192689+1.5*1.46504673616539+1.5*0.0154682311502303+1.9375*0.053601160227971 = 11157.372668887718' final score ~ 11157 reviewer: xxx gave 0
Rendered MathML:
ρ=C8π1+x2323+x-3K1+3x1+4x32ρC8πsuperscript1x2323x3K13xsuperscript14x32\rho=\frac{C}{8\,\pi\left(1+\, x\right)^{{2}}}\left[\frac{3}{2}\left(3+x\right)-\frac{3K\left(1+3\, x\right)}{\left(1+4\, x\right)^{{\frac{3}{2}}}}\right]
End of MathML
.

Hit id104177

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 68
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/214/f085210.xhtml#id104177
no match at pos:779171(000054%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
P1x=1-8x+20x2-16x3+2x421-4x-1-6x+10x2-4x321-4x.superscriptP1x18x20superscriptx216superscriptx32superscriptx4214x16x10superscriptx24superscriptx3214x
End of MathML
.

Hit id104544

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 69
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/173/f068887.xhtml#id104544
no match at pos:792082(000071%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
=Qx/x4-x3+2x2+x+1=Q-3,5Qxsuperscriptx4superscriptx32superscriptx2x1Q35
End of MathML
.

Hit id110091

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 70
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/165/f065721.xhtml#id110091
no match at pos:875743(000084%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
-κ9CLLu47x3-237x2+312x-1046x-13-3x4-30x3+54x2-32x+8x-14lnxκ9superscriptsubscriptCLLu47superscriptx3237superscriptx2312x1046superscriptx133superscriptx430superscriptx354superscriptx232x8superscriptx14x
End of MathML
.

Hit id111950

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 71
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/165/f065721.xhtml#id111950
no match at pos:906108(000087%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
-κg32CRLwx3x3+33x2-25x+12x-13-3x4-6x3+33x2-32x+8x-14lnxκg32superscriptsubscriptCRLwx3superscriptx333superscriptx225x12superscriptx133superscriptx46superscriptx333superscriptx232x8superscriptx14x
End of MathML
.

Hit id113063

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 72
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/103/f040877.xhtml#id113063
no match at pos:899915(000071%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
+7z2-4x2-4x+8z+1y+z-2x2+2x-1y7superscriptz24superscriptx24x8z1superscriptyz2superscriptx22x1y
End of MathML
.

Hit id113066

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 73
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/136/f054257.xhtml#id113066
no match at pos:868092(000084%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
xx-18Ax2-3A-3Dx-4D,xx18Asuperscriptx23A3Dx4D
End of MathML
.

Hit id115468

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 74
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/165/f065721.xhtml#id115468
no match at pos:962519(000092%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
7x3-15x2+6x-4x-12-2x2x3+3x2-12x+4x-13lnx,7superscriptx315superscriptx26x4superscriptx122x2superscriptx33superscriptx212x4superscriptx13x
End of MathML
.

Hit id119169

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 75
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/110/f043857.xhtml#id119169
no match at pos:980895(000045%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
vx=8+4x2-x42π8-x2,x-8,8.superscriptvx84superscriptx2superscriptx42π8superscriptx2x88
End of MathML
.

Hit id122605

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 76
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/31/f012276.xhtml#id122605
no match at pos:1087701(000063%) VariableMap:[F, ( x 2, ) x 2, ., /, - x 2, 2 x 3, over, 1 x 3, 4, \, ^ x 2, =, x x 2] Expects 1 occurences for '3' but has only 0 Expects 2 occurences for '4' but has only 1 Expects 1 occurences for '+' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 3 occurences for 'x' but has only 2 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Fx=1-1-4x21/22.Fx1superscript14superscriptx2122F(x)={1-(1-4x^{2})^{{1/2}}\over 2}.
End of MathML
.

Hit id128812

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 77
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/103/f040877.xhtml#id128812
no match at pos:1141647(000090%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
4x2-4x+5/34superscriptx24x53
End of MathML
.

Hit id55834

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 78
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/141/f056085.xhtml#id55834
no match at pos:33879(000014%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
4x3-5x2-23x3x-12-x4+x3-11x2+xx-13lnx4superscriptx35superscriptx223x3superscriptx12superscriptx4superscriptx311superscriptx2xsuperscriptx13x
End of MathML
.

Hit id56098

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 79
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/226/f090318.xhtml#id56098
no match at pos:35750(000024%) VariableMap:[+, (, ), beta, i, -, 2, 1, 4, \, ^ x 2, x] Expects 1 occurences for '3' but has only 0 Expects 2 occurences for '4' but has only 1 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 1 Expects 3 occurences for 'x' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
1-4x2β+isuperscript14superscriptx2βi(1-4x^{2})^{{\beta+i}}
End of MathML
.

Hit id57356

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 80
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/103/f041151.xhtml#id57356
no match at pos:62075(000015%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
P8x=x41-4x81+4x1+4x21+x+7x2Q8x.subscriptP8xsuperscriptx4superscript14x814x14superscriptx21x7superscriptx2subscriptQ8x
End of MathML
.

Hit id58633

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 81
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/246/f098281.xhtml#id58633
no match at pos:78355(000066%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
Cx=22x3-153x2+159x-4661-x3+32-3xx2nx1-x4Cx22superscriptx3153superscriptx2159x466superscript1x3323xsuperscriptx2nxsuperscript1x4
End of MathML
.

Hit id58660

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 82
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/178/f070885.xhtml#id58660
no match at pos:78355(000051%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
k6-k41-k6x6-3k4-20k2+161-k4x4+3k2+81-k2x2=1,superscriptk6superscriptk4superscript1k6superscriptx63superscriptk420superscriptk216superscript1k4superscriptx43superscriptk28superscript1k2superscriptx21
End of MathML
.

Hit id59200

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 83
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/246/f098281.xhtml#id59200
no match at pos:86925(000073%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
C2x=22x3-12x2-45x+1731-x3+2x8x2-15x+4nx1-x4subscriptC2x22superscriptx312superscriptx245x173superscript1x32x8superscriptx215x4nxsuperscript1x4
End of MathML
.

Hit id60297

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 84
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/11/f004030.xhtml#id60297
no match at pos:105521(000035%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
6x1-x4-2x41-x4-8x31-x3.6xsuperscript1x42superscriptx4superscript1x48superscriptx3superscript1x3
End of MathML
.

Hit id65044

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 85
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/55/f021683.xhtml#id65044
no match at pos:174288(000019%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
x2+5x-x28x-13-3x24x-14lnx.x25xsuperscriptx28superscriptx133superscriptx24superscriptx14x
End of MathML
.

Hit id66114

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 86
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/88/f034892.xhtml#id66114
no match at pos:185925(000027%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
10x+10x2+4x331-x2-2x-8x2-x3-x41-x3lnx10x10superscriptx24superscriptx33superscript1x22x8superscriptx2superscriptx3superscriptx4superscript1x3x
End of MathML
.

Hit id68129

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 87
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/96/f038077.xhtml#id68129
no match at pos:219964(000019%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
x4-8x3-7x2-5x+52x4-6x3-x2+4x-5superscriptx48superscriptx37superscriptx25x52superscriptx46superscriptx3superscriptx24x5
End of MathML
.

Hit id69312

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 88
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/96/f038077.xhtml#id69312
no match at pos:235973(000020%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
x4+5x3-14x2-x-33x4+8x3+15x2-5x-1superscriptx45superscriptx314superscriptx2x33superscriptx48superscriptx315superscriptx25x1
End of MathML
.

Hit id69938

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 89
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/88/f034804.xhtml#id69938
no match at pos:250735(000044%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
x2+5x-x28x-13-3x24x-14lnx,x25xsuperscriptx28superscriptx133superscriptx24superscriptx14x
End of MathML
.

Hit id73448

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 90
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/215/f085627.xhtml#id73448
no match at pos:293868(000015%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
-83-3x-4x2+4xζ2833x4superscriptx24xζ2
End of MathML
.

Hit id75886

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 91
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/96/f038077.xhtml#id75886
no match at pos:333005(000028%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
x4-4x3+5x2+4x+1x4+4x3+5x2-4x+1superscriptx44superscriptx35superscriptx24x1superscriptx44superscriptx35superscriptx24x1
End of MathML
.

Hit id76701

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 92
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/91/f036376.xhtml#id76701
no match at pos:346833(000049%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
-16x4-122x3+80x2-8x9x-14Li21-1x+6x4+46x3-28x23x-15ln2x16superscriptx4122superscriptx380superscriptx28x9superscriptx14subscriptLi211x6superscriptx446superscriptx328superscriptx23superscriptx15superscript2x
End of MathML
.

Hit id82005

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 93
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/160/f063728.xhtml#id82005
no match at pos:432175(000072%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
4x3-3a2+4ϵ2/3x+4ϵ=04superscriptx33superscriptsuperscripta24ϵ23x4ϵ0
End of MathML
.

Hit id95759

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 94
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/231/f092092.xhtml#id95759
no match at pos:629086(000084%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
-180Σ2x21-x2+8ν2RU2p2Ξ378Σ4x41-x23+764Σ2x21-x22-24011-x2180superscriptΣ2superscriptx21superscriptx28superscriptν2RsuperscriptU2superscriptp2Ξ378superscriptΣ4superscriptx4superscript1superscriptx23764superscriptΣ2superscriptx2superscript1superscriptx2224011superscriptx2
End of MathML
.

Hit id99643

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 95
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/194/f077475.xhtml#id99643
no match at pos:714154(000083%) VariableMap:[] Expects 1 occurences for '3' but has only 0 Expects 1 occurences for '2' but has only 0 Expects 1 occurences for '1' but has only 0 Expects 2 occurences for '4' but has only 0 Expects 1 occurences for '+' but has only 0 Expects 2 occurences for '^' but has only 0 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 0 Expects 3 occurences for 'x' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
2x11+4x10-2x9-15x8-5x7+23x6+15x5-17x4-14x3+4x2+5x+1x5-1+x52x6-4x4+4x2-1x+13.2superscriptx114superscriptx102superscriptx915superscriptx85superscriptx723superscriptx615superscriptx517superscriptx414superscriptx34superscriptx25x1superscriptx5superscript1x52superscriptx64superscriptx44superscriptx21superscriptx13
End of MathML
.

Hit idp25038256

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 96
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/17/f006449.xhtml#idp25038256
no match at pos:678598(000073%) VariableMap:[2, 1 x 2, 4, sqrt, +, \, ^, -, x] Expects 1 occurences for '3' but has only 0 Expects 2 occurences for '4' but has only 1 Expects 2 occurences for '^' but has only 1 Expects 1 occurences for '8' but has only 0 Expects 2 occurences for '-' but has only 1 Expects 3 occurences for 'x' but has only 1 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:
1+4x2-114superscriptx21\sqrt{1+4x^{2}}-1
End of MathML
.

Hit id76514

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 99
  • Formulasearchengine score: -9989683
  • Reference to collection: _PREFIX_/3/f001114.xhtml#id76514
found all required tokens in TeX $P_{{\bot}}=\frac{C}{8\pi}\frac{\left(4x^{{4}}+6x^{{3}}+10x^{{2}}+7x-1\right)K^{{2}}x-\left(4x^{{4}}+24x^{{3}}+19x^{{2}}+4x+1\right)K-6x^{{2}}-3x+1}{\left(1+2x\right)^{{3}}\left(1+x\right)\left(1+Kx\right)}\ ,$ at pos:343081(58%) Scoringfunction: ' + TeX_HIT_SCORE + NO_TEXT_FOUND + 1.9375 * TOKEN_SCORE[3] + 1.984375 * TOKEN_SCORE[2] + 1.99609375 * TOKEN_SCORE[1] + 1.984375 * TOKEN_SCORE[4] + 1.99951171875 * TOKEN_SCORE[+] + 1.998046875 * TOKEN_SCORE[^] + 1.5 * TOKEN_SCORE[8] + 1.9375 * TOKEN_SCORE[-] + 1.9998779296875 * TOKEN_SCORE[x] =+100.0+-100000.0+1.9375*0.123506558347516+1.984375*0.00999347474837536+1.99609375*0.0102451205633244+1.984375*0.258430469349049+1.99951171875*0.0160883895861106+1.998046875*0.00338742677192689+1.5*1.46504673616539+1.9375*0.0154682311502303+1.9998779296875*0.053601160227971 = -9989683.392931757' final score ~ -9989683 reviewer: xxx gave 0
Rendered MathML:
P=C8π4x4+6x3+10x2+7x-1K2x-4x4+24x3+19x2+4x+1K-6x2-3x+11+2x31+x1+Kx,subscriptPC8π4superscriptx46superscriptx310superscriptx27x1superscriptK2x4superscriptx424superscriptx319superscriptx24x1K6superscriptx23x1superscript12x31x1KxP_{{\bot}}=\frac{C}{8\pi}\frac{\left(4x^{{4}}+6x^{{3}}+10x^{{2}}+7x-1\right)K^{{2}}x-\left(4x^{{4}}+24x^{{3}}+19x^{{2}}+4x+1\right)K-6x^{{2}}-3x+1}{\left(1+2x\right)^{{3}}\left(1+x\right)\left(1+Kx\right)}\ ,
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Hit id110549

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 100
  • Formulasearchengine score: -9989769
  • Reference to collection: _PREFIX_/140/f055687.xhtml#id110549
found all required tokens in TeX $\frac{6x^{3}+4x^{2}-12x+5}{(1-x)^{2}(1-x-x^{2})}=\frac{5}{1-x}-\frac{3}{(1-x)^{2}}+\frac{x+3}{1-x-x^{2}}.$ at pos:855695(53%) Scoringfunction: ' + TeX_HIT_SCORE + NO_TEXT_FOUND + 1.875 * TOKEN_SCORE[3] + 1.984375 * TOKEN_SCORE[2] + 1.984375 * TOKEN_SCORE[1] + 1.5 * TOKEN_SCORE[4] + 1.9375 * TOKEN_SCORE[+] + 1.984375 * TOKEN_SCORE[^] + 1.0 * TOKEN_SCORE[8] + 1.998046875 * TOKEN_SCORE[-] + 1.99951171875 * TOKEN_SCORE[x] =+100.0+-100000.0+1.875*0.123506558347516+1.984375*0.00999347474837536+1.984375*0.0102451205633244+1.5*0.258430469349049+1.9375*0.0160883895861106+1.984375*0.00338742677192689+1.0*1.46504673616539+1.998046875*0.0154682311502303+1.99951171875*0.053601160227971 = -9989769.95962216' final score ~ -9989769 reviewer: xxx gave 0
Rendered MathML:
6x3+4x2-12x+51-x21-x-x2=51-x-31-x2+x+31-x-x2.6superscriptx34superscriptx212x5superscript1x21xsuperscriptx251x3superscript1x2x31xsuperscriptx2\frac{6x^{3}+4x^{2}-12x+5}{(1-x)^{2}(1-x-x^{2})}=\frac{5}{1-x}-\frac{3}{(1-x)^{2}}+\frac{x+3}{1-x-x^{2}}.
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