NTCIR10-FT-1

Results for NTCIR10-FT-1

Query

Original Query

NTCIR10-FT-1 Full Text Query Looking for points where the derivative of <m:math alttext="\wp" display="inline" xml:id="m1.1" xref="m1.1.pmml"> <m:semantics xml:id="m1.1a" xref="m1.1.pmml"> <m:csymbol cd="latexml" xml:id="m1.1.1" xref="m1.1.1.pmml">Weierstrass-p</m:csymbol> <m:annotation-xml encoding="MathML-Presentation" xml:id="m1.1.pmml" xref="m1.1"> <m:mi mathvariant="normal" xml:id="m1.1.1.pmml" xref="m1.1.1">℘</m:mi> </m:annotation-xml> <m:annotation encoding="application/x-tex" xml:id="m1.1b" xref="m1.1.pmml">\wp</m:annotation> </m:semantics> </m:math> vanishes \wp Weierstrass-p Points derivative vanishes The hits of this query should give information about zeroes of the derivative of Weiterstrass Weierstrass-p \wp function.

Compiled by FSE

Token-Filter

  • TeXFilter:[wp, \]
  • Presentation-MathML:[℘]

MathML-Filter

mi[℘] csymbol[Weierstrass-p]

Word filter

Keywords:[points, derivative, vanishes] Rendered Presentation-MathML:

Results

Summary

Reviewer score 4

  • Items reviewd: 50
  • Accumulated score: -25438099
  • Formulasearchengine found: 32

Reviewer score 2

  • Items reviewd: 4
  • Accumulated score: 840417
  • Formulasearchengine found: 2

Reviewer score 0

  • Items reviewd: 46
  • Accumulated score: 11558791
  • Formulasearchengine found: 26
.
+++o
200000+2822656
5000-2000004004
<50001822040
50446100
50000000:0 200000:56 10000:56 5000:56

Short result list

Detailed results for reviewer score 4

Hit idp5822000

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 1
  • Formulasearchengine score: 924158
  • Reference to collection: _PREFIX_/202/f080713.xhtml#idp5822000
found all required tokens in TeX $\wp$ at pos:686964(84%) CMML match: 0=csymbol[Weierstrass-p] PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + CMML_SCORE * 1.0 + PMML_SCORE * 1.0 + PMML_SCORE + 1.75 * WORD_SCORE[points] + 1.75 * WORD_SCORE[derivative] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+5000.0*1.0+2000.0*1.0+2000.0+1.75*7.23925363971508+1.75*21.3763667589854+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 924158.7620566543' final score ~ 924158 reviewer: xxx gave 4
Rendered MathML:
Weierstrass-p\wp
End of MathML
.

Hit idp27000624

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 2
  • Formulasearchengine score: 920598
  • Reference to collection: _PREFIX_/202/f080682.xhtml#idp27000624
found all required tokens in TeX $\wp$ at pos:988364(92%) CMML match: 0=csymbol[Weierstrass-p] PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + CMML_SCORE * 1.0 + PMML_SCORE * 1.0 + PMML_SCORE + 1.9990234375 * WORD_SCORE[points] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+5000.0*1.0+2000.0*1.0+2000.0+1.9990234375*7.23925363971508+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 920598.1722564615' final score ~ 920598 reviewer: xxx gave 4
Rendered MathML:
Weierstrass-p\wp
End of MathML
.

Hit id129436

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 4
  • Formulasearchengine score: 431100
  • Reference to collection: _PREFIX_/33/f012936.xhtml#id129436
found all required tokens in TeX $\wp$ at pos:1225719(71%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9999999701976776 * WORD_SCORE[points] + 1.998046875 * WORD_SCORE[derivative] + 1.984375 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9999999701976776*7.23925363971508+1.998046875*21.3763667589854+1.984375*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 431100.04644720914' final score ~ 431100 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id130244

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 5
  • Formulasearchengine score: 431100
  • Reference to collection: _PREFIX_/33/f012936.xhtml#id130244
found all required tokens in TeX $\wp$ at pos:1238690(72%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9999999701976776 * WORD_SCORE[points] + 1.998046875 * WORD_SCORE[derivative] + 1.984375 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9999999701976776*7.23925363971508+1.998046875*21.3763667589854+1.984375*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 431100.04644720914' final score ~ 431100 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id100262

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 6
  • Formulasearchengine score: 430599
  • Reference to collection: _PREFIX_/138/f054936.xhtml#id100262
found all required tokens in TeX $\wp$ at pos:728519(92%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.875 * WORD_SCORE[points] + 1.875 * WORD_SCORE[derivative] + 1.9375 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.875*7.23925363971508+1.875*21.3763667589854+1.9375*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 430599.3593017996' final score ~ 430599 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id54882

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 7
  • Formulasearchengine score: 430599
  • Reference to collection: _PREFIX_/138/f054936.xhtml#id54882
found all required tokens in TeX $\wp$ at pos:21482(3%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.875 * WORD_SCORE[points] + 1.875 * WORD_SCORE[derivative] + 1.9375 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.875*7.23925363971508+1.875*21.3763667589854+1.9375*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 430599.3593017996' final score ~ 430599 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id99348

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 8
  • Formulasearchengine score: 430599
  • Reference to collection: _PREFIX_/138/f054936.xhtml#id99348
found all required tokens in TeX $\wp$ at pos:714375(90%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.875 * WORD_SCORE[points] + 1.875 * WORD_SCORE[derivative] + 1.9375 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.875*7.23925363971508+1.875*21.3763667589854+1.9375*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 430599.3593017996' final score ~ 430599 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id94159

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 9
  • Formulasearchengine score: 430367
  • Reference to collection: _PREFIX_/227/f090517.xhtml#id94159
found all required tokens in TeX $\wp$ at pos:612796(45%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9999999981373549 * WORD_SCORE[points] + 1.99951171875 * WORD_SCORE[derivative] + 1.75 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9999999981373549*7.23925363971508+1.99951171875*21.3763667589854+1.75*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 430367.342852995' final score ~ 430367 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id94224

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 10
  • Formulasearchengine score: 430367
  • Reference to collection: _PREFIX_/227/f090517.xhtml#id94224
found all required tokens in TeX $\wp$ at pos:613816(45%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9999999981373549 * WORD_SCORE[points] + 1.99951171875 * WORD_SCORE[derivative] + 1.75 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9999999981373549*7.23925363971508+1.99951171875*21.3763667589854+1.75*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 430367.342852995' final score ~ 430367 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id173727

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 16
  • Formulasearchengine score: 429692
  • Reference to collection: _PREFIX_/38/f015142.xhtml#id173727
found all required tokens in TeX $\wp$ at pos:1870322(97%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9999847412109375 * WORD_SCORE[points] + 1.5 * WORD_SCORE[derivative] + 1.875 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9999847412109375*7.23925363971508+1.5*21.3763667589854+1.875*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 429692.0025277658' final score ~ 429692 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id175637

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 17
  • Formulasearchengine score: 429692
  • Reference to collection: _PREFIX_/38/f015142.xhtml#id175637
found all required tokens in TeX $\wp$ at pos:1900915(98%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9999847412109375 * WORD_SCORE[points] + 1.5 * WORD_SCORE[derivative] + 1.875 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9999847412109375*7.23925363971508+1.5*21.3763667589854+1.875*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 429692.0025277658' final score ~ 429692 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id73411

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 22
  • Formulasearchengine score: 428514
  • Reference to collection: _PREFIX_/39/f015289.xhtml#id73411
found all required tokens in TeX $\wp$ at pos:307980(56%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9999998807907104 * WORD_SCORE[points] + 1.5 * WORD_SCORE[derivative] + 1.5 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9999998807907104*7.23925363971508+1.5*21.3763667589854+1.5*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 428514.67761862796' final score ~ 428514 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id58897

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 23
  • Formulasearchengine score: 428002
  • Reference to collection: _PREFIX_/36/f014099.xhtml#id58897
found all required tokens in TeX $\wp$ at pos:83321(26%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9375 * WORD_SCORE[derivative] + 1.5 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9375*21.3763667589854+1.5*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 428002.04302268923' final score ~ 428002 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id104165

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 25
  • Formulasearchengine score: 426318
  • Reference to collection: _PREFIX_/193/f076900.xhtml#id104165
found all required tokens in TeX $0=4\wp^{2}+4\tilde{\wp}^{2}+4\wp\tilde{\wp}-g_{2}=4\wp^{2}+4\wp^{2}_{0}+4\wp\wp _{0}-g_{2}$ at pos:756531(92%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + PMML_SCORE * 0.0625 + PMML_SCORE * 0.03125 + PMML_SCORE * 0.015625 + PMML_SCORE * 0.0078125 + 1.99609375 * WORD_SCORE[points] + 1.9921875 * WORD_SCORE[derivative] + 1.99609375 * TOKEN_SCORE[wp] + 1.9990234375 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+2000.0*0.0625+2000.0*0.03125+2000.0*0.015625+2000.0*0.0078125+1.99609375*7.23925363971508+1.9921875*21.3763667589854+1.99609375*61.0062636998818+1.9990234375*5.92879328325965E-4 = 426318.63664594246' final score ~ 426318 reviewer: xxx gave 4
Rendered MathML:
0=42+4~2+4~-g2=42+402+40-g204superscript24superscript~24~subscriptg24superscript24subscriptsuperscript204subscript0subscriptg20=4\wp^{2}+4\tilde{\wp}^{2}+4\wp\tilde{\wp}-g_{2}=4\wp^{2}+4\wp^{2}_{0}+4\wp\wp _{0}-g_{2}
End of MathML
.

Hit id102140

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 28
  • Formulasearchengine score: 424854
  • Reference to collection: _PREFIX_/193/f076900.xhtml#id102140
found all required tokens in TeX $\wp$ at pos:725226(88%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.99609375 * WORD_SCORE[points] + 1.9921875 * WORD_SCORE[derivative] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.99609375*7.23925363971508+1.9921875*21.3763667589854+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 424854.6244466381' final score ~ 424854 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id84849

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 29
  • Formulasearchengine score: 424732
  • Reference to collection: _PREFIX_/193/f076900.xhtml#id84849
found all required tokens in TeX $\wp(u+v)+\wp(u)+\wp(v)=\frac{1}{4}\left[\frac{\wp^{{\prime}}(u)-\wp^{{\prime}}(v)}{\wp(u)-\wp(v)}\right]^{2}\,.$ at pos:471516(57%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + PMML_SCORE * 0.0625 + PMML_SCORE * 0.03125 + PMML_SCORE * 0.015625 + 1.99609375 * WORD_SCORE[points] + 1.9921875 * WORD_SCORE[derivative] + 1.9921875 * TOKEN_SCORE[wp] + 1.99993896484375 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+2000.0*0.0625+2000.0*0.03125+2000.0*0.015625+1.99609375*7.23925363971508+1.9921875*21.3763667589854+1.9921875*61.0062636998818+1.99993896484375*5.92879328325965E-4 = 424732.30612846446' final score ~ 424732 reviewer: xxx gave 4
Rendered MathML:
u+v+u+v=14u-vu-v2.uvuv14superscriptsuperscriptusuperscriptvuv2\wp(u+v)+\wp(u)+\wp(v)=\frac{1}{4}\left[\frac{\wp^{{\prime}}(u)-\wp^{{\prime}}(v)}{\wp(u)-\wp(v)}\right]^{2}\,.
End of MathML
.

Hit id93572

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 30
  • Formulasearchengine score: 424732
  • Reference to collection: _PREFIX_/193/f076900.xhtml#id93572
found all required tokens in TeX $\displaystyle-\displaystyle{\frac{[\wp(x+\omega^{{\prime}}+d)+\wp(x+\omega^{{\prime}})]^{2}+2\wp(x+\omega^{{\prime}}+d)\wp(x+\omega^{{\prime}})-g_{2}/2}{\wp(x+\omega^{{\prime}}+d)+\wp(x+\omega^{{\prime}})+\wp(d)}}$ at pos:598428(73%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + PMML_SCORE * 0.0625 + PMML_SCORE * 0.03125 + PMML_SCORE * 0.015625 + 1.99609375 * WORD_SCORE[points] + 1.9921875 * WORD_SCORE[derivative] + 1.9921875 * TOKEN_SCORE[wp] + 1.999999761581421 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+2000.0*0.0625+2000.0*0.03125+2000.0*0.015625+1.99609375*7.23925363971508+1.9921875*21.3763667589854+1.9921875*61.0062636998818+1.999999761581421*5.92879328325965E-4 = 424732.306132069' final score ~ 424732 reviewer: xxx gave 4
Rendered MathML:
-x+ω+d+x+ω2+2x+ω+dx+ω-g2/2x+ω+d+x+ω+dsuperscriptxsuperscriptωdxsuperscriptω22xsuperscriptωdxsuperscriptωsubscriptg22xsuperscriptωdxsuperscriptωd\displaystyle-\displaystyle{\frac{[\wp(x+\omega^{{\prime}}+d)+\wp(x+\omega^{{\prime}})]^{2}+2\wp(x+\omega^{{\prime}}+d)\wp(x+\omega^{{\prime}})-g_{2}/2}{\wp(x+\omega^{{\prime}}+d)+\wp(x+\omega^{{\prime}})+\wp(d)}}
End of MathML
.

Hit id107236

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 37
  • Formulasearchengine score: 423805
  • Reference to collection: _PREFIX_/72/f028454.xhtml#id107236
found all required tokens in TeX $\wp$ at pos:835693(84%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9999999999999716 * WORD_SCORE[points] + 1.5 * WORD_SCORE[derivative] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9999999999999716*7.23925363971508+1.5*21.3763667589854+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 423805.3342286723' final score ~ 423805 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id103872

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 39
  • Formulasearchengine score: 421559
  • Reference to collection: _PREFIX_/193/f076900.xhtml#id103872
found all required tokens in TeX $(\wp-\tilde{\wp})(4\wp^{2}+4\tilde{\wp}^{2}+4\wp\tilde{\wp}-g_{2})=0\,.$ at pos:752273(91%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + PMML_SCORE * 0.0625 + PMML_SCORE * 0.03125 + 1.99609375 * WORD_SCORE[points] + 1.9921875 * WORD_SCORE[derivative] + 1.984375 * TOKEN_SCORE[wp] + 1.9990234375 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+2000.0*0.0625+2000.0*0.03125+1.99609375*7.23925363971508+1.9921875*21.3763667589854+1.984375*61.0062636998818+1.9990234375*5.92879328325965E-4 = 421559.6449306692' final score ~ 421559 reviewer: xxx gave 4
Rendered MathML:
-~42+4~2+4~-g2=0 .~4superscript24superscript~24~subscriptg20 .(\wp-\tilde{\wp})(4\wp^{2}+4\tilde{\wp}^{2}+4\wp\tilde{\wp}-g_{2})=0\,.
End of MathML
.

Hit id75363

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 41
  • Formulasearchengine score: 420682
  • Reference to collection: _PREFIX_/73/f028947.xhtml#id75363
found all required tokens in TeX $\left[\frac{d}{dz}\wp(z)\right]^{{2}}=4\wp(z)^{{3}}-g_{{2}}\wp(z)-g_{{3}}\equiv 4(\wp(z)-e_{{1}})(\wp(z)-e_{{2}})(\wp(z)-e_{{3}})$ at pos:322001(72%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + PMML_SCORE * 0.0625 + PMML_SCORE * 0.03125 + 1.5 * WORD_SCORE[points] + 1.75 * WORD_SCORE[derivative] + 1.984375 * TOKEN_SCORE[wp] + 1.9990234375 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+2000.0*0.0625+2000.0*0.03125+1.5*7.23925363971508+1.75*21.3763667589854+1.984375*61.0062636998818+1.9990234375*5.92879328325965E-4 = 420682.80119969224' final score ~ 420682 reviewer: xxx gave 4
Rendered MathML:
ddzz2=4z3-g2z-g34z-e1z-e2z-e3superscriptddzz24superscriptz3subscriptg2zsubscriptg34zsubscripte1zsubscripte2zsubscripte3\left[\frac{d}{dz}\wp(z)\right]^{{2}}=4\wp(z)^{{3}}-g_{{2}}\wp(z)-g_{{3}}\equiv 4(\wp(z)-e_{{1}})(\wp(z)-e_{{2}})(\wp(z)-e_{{3}})
End of MathML
.

Hit id159978

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 45
  • Formulasearchengine score: 420553
  • Reference to collection: _PREFIX_/149/f059510.xhtml#id159978
found all required tokens in TeX $\wp$ at pos:1649790(96%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9375 * WORD_SCORE[points] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9375*7.23925363971508+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 420553.63387957634' final score ~ 420553 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id163020

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 46
  • Formulasearchengine score: 420553
  • Reference to collection: _PREFIX_/149/f059510.xhtml#id163020
found all required tokens in TeX $\wp$ at pos:1696175(99%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9375 * WORD_SCORE[points] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9375*7.23925363971508+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 420553.63387957634' final score ~ 420553 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id54150

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 47
  • Formulasearchengine score: 420553
  • Reference to collection: _PREFIX_/149/f059510.xhtml#id54150
found all required tokens in TeX $\wp$ at pos:9992(1%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9375 * WORD_SCORE[points] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9375*7.23925363971508+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 420553.63387957634' final score ~ 420553 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id65908

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 48
  • Formulasearchengine score: 420553
  • Reference to collection: _PREFIX_/149/f059510.xhtml#id65908
found all required tokens in TeX $\wp$ at pos:183261(11%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9375 * WORD_SCORE[points] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9375*7.23925363971508+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 420553.63387957634' final score ~ 420553 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id72138

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 52
  • Formulasearchengine score: 418361
  • Reference to collection: _PREFIX_/36/f014099.xhtml#id72138
found all required tokens in TeX ${\roman{sn}}(z)=\sqrt{\frac{e_{1}-e_{3}}{\wp(u)-e_{3}}},\quad{\roman{cn}}(z)=\sqrt{\frac{\wp(u)-e_{1}}{\wp(u)-e_{3}}},\quad{\roman{dn}}(z)=\sqrt{\frac{\wp(u)-e_{2}}{\wp(u)-e_{3}}},\tag{5}-1$ at pos:286667(88%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + PMML_SCORE * 0.0625 + 1.9375 * WORD_SCORE[derivative] + 1.5 * WORD_SCORE[vanishes] + 1.96875 * TOKEN_SCORE[wp] + 1.9999923706054688 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+2000.0*0.0625+1.9375*21.3763667589854+1.5*31.3956231750289+1.96875*61.0062636998818+1.9999923706054688*5.92879328325965E-4 = 418361.7412771353' final score ~ 418361 reviewer: xxx gave 4
Rendered MathML:
snz=e1-e3u-e3,cnz=u-e1u-e3,dnz=u-e2u-e3,-1snzsubscripte1subscripte3usubscripte3cnzusubscripte1usubscripte3dnzusubscripte2usubscripte31{\roman{sn}}(z)=\sqrt{\frac{e_{1}-e_{3}}{\wp(u)-e_{3}}},\quad{\roman{cn}}(z)=\sqrt{\frac{\wp(u)-e_{1}}{\wp(u)-e_{3}}},\quad{\roman{dn}}(z)=\sqrt{\frac{\wp(u)-e_{2}}{\wp(u)-e_{3}}},\tag{5}-1
End of MathML
.

Hit id57699

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 54
  • Formulasearchengine score: 416941
  • Reference to collection: _PREFIX_/185/f073753.xhtml#id57699
found all required tokens in TeX $u=6\,\wp _{1}+6\,\wp _{2},\quad\wp _{1}\equiv\wp(x-\alpha\, t-\Omega;\, g_{2},g_{3}),\quad\wp _{2}\equiv\wp(x-\alpha\, t-\tilde{\Omega};\, g_{2},\tilde{g}_{3}),\quad\alpha=-12\, g_{2},$ at pos:61563(44%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + PMML_SCORE * 0.0625 + PMML_SCORE * 0.03125 + 1.5 * WORD_SCORE[points] + 1.984375 * TOKEN_SCORE[wp] + 1.9999999701976776 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+2000.0*0.0625+2000.0*0.03125+1.5*7.23925363971508+1.984375*61.0062636998818+1.9999999701976776*5.92879328325965E-4 = 416941.93707476644' final score ~ 416941 reviewer: xxx gave 4
Rendered MathML:
u=61+62,1x-αt-Ω;g2,g3,2x-αt-Ω~;g2,g~3,α=-12g2,u6subscript16subscript2subscript1xαtΩsubscriptg2subscriptg3subscript2xαt~Ωsubscriptg2subscript~g3α12subscriptg2u=6\,\wp _{1}+6\,\wp _{2},\quad\wp _{1}\equiv\wp(x-\alpha\, t-\Omega;\, g_{2},g_{3}),\quad\wp _{2}\equiv\wp(x-\alpha\, t-\tilde{\Omega};\, g_{2},\tilde{g}_{3}),\quad\alpha=-12\, g_{2},
End of MathML
.

Hit id58263

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 55
  • Formulasearchengine score: 416941
  • Reference to collection: _PREFIX_/185/f073753.xhtml#id58263
found all required tokens in TeX $\Psi _{1}\Psi _{2}\Psi _{3}=\lambda^{4}+4\,(\wp^{{\prime}}_{1}+\wp^{{\prime}}_{2})\,\lambda^{3}+16\,\wp^{{\prime}}_{1}\,\wp^{{\prime}}_{2}\,\lambda^{2}+16\,(g_{3}-\tilde{g}_{3})(\wp^{{\prime}}_{1}-\wp^{{\prime}}_{2})\,\lambda-16\,(g_{3}-\tilde{g}_{3})^{2},$ at pos:69533(50%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + PMML_SCORE * 0.0625 + PMML_SCORE * 0.03125 + 1.5 * WORD_SCORE[points] + 1.984375 * TOKEN_SCORE[wp] + 1.9999999981373549 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+2000.0*0.0625+2000.0*0.03125+1.5*7.23925363971508+1.984375*61.0062636998818+1.9999999981373549*5.92879328325965E-4 = 416941.9370747682' final score ~ 416941 reviewer: xxx gave 4
Rendered MathML:
Ψ1Ψ2Ψ3=λ4+41+2λ3+1612λ2+16g3-g~31-2λ-16g3-g~32,subscriptΨ1subscriptΨ2subscriptΨ3superscriptλ44subscriptsuperscript1subscriptsuperscript2superscriptλ316subscriptsuperscript1subscriptsuperscript2superscriptλ216subscriptg3subscript~g3subscriptsuperscript1subscriptsuperscript2λ16superscriptsubscriptg3subscript~g32\Psi _{1}\Psi _{2}\Psi _{3}=\lambda^{4}+4\,(\wp^{{\prime}}_{1}+\wp^{{\prime}}_{2})\,\lambda^{3}+16\,\wp^{{\prime}}_{1}\,\wp^{{\prime}}_{2}\,\lambda^{2}+16\,(g_{3}-\tilde{g}_{3})(\wp^{{\prime}}_{1}-\wp^{{\prime}}_{2})\,\lambda-16\,(g_{3}-\tilde{g}_{3})^{2},
End of MathML
.

Hit id129180

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 56
  • Formulasearchengine score: 408769
  • Reference to collection: _PREFIX_/33/f012936.xhtml#id129180
found all required tokens in TeX $\wp\left(A_{{\mathrm{Hoppe}}}(s^{1},s^{2},s^{3})\right)=\wp(s^{1})\wp(s^{2})\wp(s^{3})$ at pos:1222005(71%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + 1.9999999701976776 * WORD_SCORE[points] + 1.998046875 * WORD_SCORE[derivative] + 1.984375 * WORD_SCORE[vanishes] + 1.9375 * TOKEN_SCORE[wp] + 1.9921875 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+1.9999999701976776*7.23925363971508+1.998046875*21.3763667589854+1.984375*31.3956231750289+1.9375*61.0062636998818+1.9921875*5.92879328325965E-4 = 408769.09966485837' final score ~ 408769 reviewer: xxx gave 4
Rendered MathML:
AHoppes1,s2,s3=s1s2s3subscriptAHoppesuperscripts1superscripts2superscripts3superscripts1superscripts2superscripts3\wp\left(A_{{\mathrm{Hoppe}}}(s^{1},s^{2},s^{3})\right)=\wp(s^{1})\wp(s^{2})\wp(s^{3})
End of MathML
.

Hit id126946

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 57
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/69/f027421.xhtml#id126946
no match at pos:1103933(000097%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id143424

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 58
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/104/f041288.xhtml#id143424
no match at pos:1356881(000090%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id54138

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 59
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/246/f098095.xhtml#id54138
no match at pos:10144(000001%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id54784

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 60
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/109/f043228.xhtml#id54784
no match at pos:21663(000001%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id55694

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 61
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/83/f033045.xhtml#id55694
no match at pos:34212(000003%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id58959

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 62
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/159/f063553.xhtml#id58959
no match at pos:82096(000013%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id60062

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 63
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/235/f093632.xhtml#id60062
no match at pos:95900(000088%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id63433

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 64
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/159/f063553.xhtml#id63433
no match at pos:150867(000023%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id67081

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 65
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/159/f063553.xhtml#id67081
no match at pos:204721(000031%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id69153

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 66
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/248/f098889.xhtml#id69153
no match at pos:235222(000025%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id73254

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 67
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/199/f079481.xhtml#id73254
no match at pos:296298(000090%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id79838

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 68
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/160/f063728.xhtml#id79838
no match at pos:399292(000066%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id82280

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 69
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/160/f063728.xhtml#id82280
no match at pos:436689(000073%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id82645

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 70
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/160/f063813.xhtml#id82645
no match at pos:433845(000073%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id83662

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 71
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/201/f080245.xhtml#id83662
no match at pos:475003(000081%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id86825

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 72
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/54/f021211.xhtml#id86825
no match at pos:505915(000028%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id91067

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 73
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/66/f026063.xhtml#id91067
no match at pos:562689(000036%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id97450

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 74
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/54/f021211.xhtml#id97450
no match at pos:666023(000037%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 4
Rendered MathML:

End of MathML
.

Hit id59065

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 97
  • Formulasearchengine score: -9580848
  • Reference to collection: _PREFIX_/145/f057956.xhtml#id59065
found all required tokens in TeX $\wp$ at pos:83745(12%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + NO_TEXT_FOUND + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+-100000.0+1.5*61.0062636998818+1.5*5.92879328325965E-4 = -9580848.971513119' final score ~ -9580848 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id59087

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 98
  • Formulasearchengine score: -9580848
  • Reference to collection: _PREFIX_/145/f057956.xhtml#id59087
found all required tokens in TeX $\wp$ at pos:84091(12%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + NO_TEXT_FOUND + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+-100000.0+1.5*61.0062636998818+1.5*5.92879328325965E-4 = -9580848.971513119' final score ~ -9580848 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id59146

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 99
  • Formulasearchengine score: -9580848
  • Reference to collection: _PREFIX_/145/f057956.xhtml#id59146
found all required tokens in TeX $\wp$ at pos:84984(12%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + NO_TEXT_FOUND + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+-100000.0+1.5*61.0062636998818+1.5*5.92879328325965E-4 = -9580848.971513119' final score ~ -9580848 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Hit id90479

  • Reviwer: xxx
  • Reviwer score: 4
  • Formulasearchengine rank: 100
  • Formulasearchengine score: -9580848
  • Reference to collection: _PREFIX_/145/f057956.xhtml#id90479
found all required tokens in TeX $\wp$ at pos:568318(81%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + NO_TEXT_FOUND + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+-100000.0+1.5*61.0062636998818+1.5*5.92879328325965E-4 = -9580848.971513119' final score ~ -9580848 reviewer: xxx gave 4
Rendered MathML:
\wp
End of MathML
.

Detailed results for reviewer score 2

Hit id101472

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 49
  • Formulasearchengine score: 420553
  • Reference to collection: _PREFIX_/149/f059510.xhtml#id101472
found all required tokens in TeX $\wp$ at pos:722270(42%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9375 * WORD_SCORE[points] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9375*7.23925363971508+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 420553.63387957634' final score ~ 420553 reviewer: xxx gave 2
Rendered MathML:
\wp
End of MathML
.

Hit id143730

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 50
  • Formulasearchengine score: 419864
  • Reference to collection: _PREFIX_/31/f012313.xhtml#id143730
found all required tokens in TeX $\displaystyle\,\alpha _{{1}}\sum _{{i=1}}^{{M}}\frac{\wp^{{\prime\prime}}(q_{{i}})}{\wp^{{\prime}}(q_{{i}})^{{2}}}+\alpha _{{2}}\sum _{{i=1}}^{{M}}\frac{\wp(q_{{i}})}{\wp^{{\prime}}(q_{{i}})^{{2}}}+\alpha _{{3}}\sum _{{i=1}}^{{M}}\frac{1}{\wp^{{\prime}}(q_{{i}})^{{2}}}+c_{{2}}(M,\mathcal{N})\sum _{{i=1}}^{{M}}\wp(q_{{i}})$ at pos:1410813(63%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + PMML_SCORE * 0.0625 + PMML_SCORE * 0.03125 + 1.875 * WORD_SCORE[derivative] + 1.984375 * TOKEN_SCORE[wp] + 1.9999999403953552 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+2000.0*0.0625+2000.0*0.03125+1.875*21.3763667589854+1.984375*61.0062636998818+1.9999999403953552*5.92879328325965E-4 = 419864.11779611715' final score ~ 419864 reviewer: xxx gave 2
Rendered MathML:
α1i=1M′′qiqi2+α2i=1Mqiqi2+α3i=1M1qi2+c2M,Ni=1Mqisubscriptα1superscriptsubscripti1Msuperscript′′subscriptqisuperscriptsuperscriptsubscriptqi2subscriptα2superscriptsubscripti1Msubscriptqisuperscriptsuperscriptsubscriptqi2subscriptα3superscriptsubscripti1M1superscriptsuperscriptsubscriptqi2subscriptc2MNsuperscriptsubscripti1Msubscriptqi\displaystyle\,\alpha _{{1}}\sum _{{i=1}}^{{M}}\frac{\wp^{{\prime\prime}}(q_{{i}})}{\wp^{{\prime}}(q_{{i}})^{{2}}}+\alpha _{{2}}\sum _{{i=1}}^{{M}}\frac{\wp(q_{{i}})}{\wp^{{\prime}}(q_{{i}})^{{2}}}+\alpha _{{3}}\sum _{{i=1}}^{{M}}\frac{1}{\wp^{{\prime}}(q_{{i}})^{{2}}}+c_{{2}}(M,\mathcal{N})\sum _{{i=1}}^{{M}}\wp(q_{{i}})
End of MathML
.

Hit id54123

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 75
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/157/f062738.xhtml#id54123
no match at pos:9963(000002%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:

End of MathML
.

Hit id58538

  • Reviwer: xxx
  • Reviwer score: 2
  • Formulasearchengine rank: 76
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/150/f059698.xhtml#id58538
no match at pos:76894(000006%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 2
Rendered MathML:

End of MathML
.

Detailed results for reviewer score 0

Hit idm1093440

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 3
  • Formulasearchengine score: 920417
  • Reference to collection: _PREFIX_/225/f089989.xhtml#idm1093440
found all required tokens in TeX $\wp$ at pos:68300(78%) CMML match: 0=csymbol[Weierstrass-p] PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + CMML_SCORE * 1.0 + PMML_SCORE * 1.0 + PMML_SCORE + 1.75 * WORD_SCORE[points] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+5000.0*1.0+2000.0*1.0+2000.0+1.75*7.23925363971508+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 920417.8978738319' final score ~ 920417 reviewer: xxx gave 0
Rendered MathML:
Weierstrass-p\wp
End of MathML
.

Hit id96674

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 11
  • Formulasearchengine score: 430203
  • Reference to collection: _PREFIX_/32/f012431.xhtml#id96674
found all required tokens in TeX $\wp$ at pos:652736(32%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.96875 * WORD_SCORE[points] + 1.75 * WORD_SCORE[derivative] + 1.875 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.96875*7.23925363971508+1.75*21.3763667589854+1.875*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 430203.8000753408' final score ~ 430203 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id122713

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 12
  • Formulasearchengine score: 429993
  • Reference to collection: _PREFIX_/184/f073483.xhtml#id122713
found all required tokens in TeX $\displaystyle\wp$ at pos:1057978(61%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.875 * WORD_SCORE[points] + 1.5 * WORD_SCORE[derivative] + 1.99993896484375 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.75 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.875*7.23925363971508+1.5*21.3763667589854+1.99993896484375*31.3956231750289+1.5*61.0062636998818+1.75*5.92879328325965E-4 = 429993.7913914882' final score ~ 429993 reviewer: xxx gave 0
Rendered MathML:
\displaystyle\wp
End of MathML
.

Hit id71987

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 13
  • Formulasearchengine score: 429975
  • Reference to collection: _PREFIX_/225/f089722.xhtml#id71987
found all required tokens in TeX $\wp$ at pos:284904(23%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.984375 * WORD_SCORE[points] + 1.5 * WORD_SCORE[derivative] + 1.96875 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.984375*7.23925363971508+1.5*21.3763667589854+1.96875*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 429975.0362074441' final score ~ 429975 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id72026

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 14
  • Formulasearchengine score: 429975
  • Reference to collection: _PREFIX_/225/f089722.xhtml#id72026
found all required tokens in TeX $\wp$ at pos:285495(23%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.984375 * WORD_SCORE[points] + 1.5 * WORD_SCORE[derivative] + 1.96875 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.984375*7.23925363971508+1.5*21.3763667589854+1.96875*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 429975.0362074441' final score ~ 429975 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id72094

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 15
  • Formulasearchengine score: 429975
  • Reference to collection: _PREFIX_/225/f089722.xhtml#id72094
found all required tokens in TeX $\wp$ at pos:286611(23%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.984375 * WORD_SCORE[points] + 1.5 * WORD_SCORE[derivative] + 1.96875 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.984375*7.23925363971508+1.5*21.3763667589854+1.96875*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 429975.0362074441' final score ~ 429975 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id91109

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 18
  • Formulasearchengine score: 429296
  • Reference to collection: _PREFIX_/50/f019999.xhtml#id91109
found all required tokens in TeX $\wp$ at pos:581270(28%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9921875 * WORD_SCORE[derivative] + 1.875 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9921875*21.3763667589854+1.875*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 429296.280897466' final score ~ 429296 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id97360

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 19
  • Formulasearchengine score: 429296
  • Reference to collection: _PREFIX_/50/f019999.xhtml#id97360
found all required tokens in TeX $\wp$ at pos:679636(33%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9921875 * WORD_SCORE[derivative] + 1.875 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9921875*21.3763667589854+1.875*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 429296.280897466' final score ~ 429296 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id129741

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 20
  • Formulasearchengine score: 428954
  • Reference to collection: _PREFIX_/140/f055809.xhtml#id129741
found all required tokens in TeX $\wp$ at pos:1163768(75%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.5 * WORD_SCORE[points] + 1.875 * WORD_SCORE[derivative] + 1.5 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.5*7.23925363971508+1.875*21.3763667589854+1.5*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 428954.32877640286' final score ~ 428954 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id68427

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 21
  • Formulasearchengine score: 428954
  • Reference to collection: _PREFIX_/140/f055809.xhtml#id68427
found all required tokens in TeX $\wp$ at pos:227822(15%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.5 * WORD_SCORE[points] + 1.875 * WORD_SCORE[derivative] + 1.5 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.5*7.23925363971508+1.875*21.3763667589854+1.5*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 428954.32877640286' final score ~ 428954 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id67302

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 24
  • Formulasearchengine score: 428002
  • Reference to collection: _PREFIX_/36/f014099.xhtml#id67302
found all required tokens in TeX $\wp$ at pos:213255(65%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9375 * WORD_SCORE[derivative] + 1.5 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9375*21.3763667589854+1.5*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 428002.04302268923' final score ~ 428002 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id61882

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 26
  • Formulasearchengine score: 426093
  • Reference to collection: _PREFIX_/137/f054563.xhtml#id61882
found all required tokens in TeX $\wp$ at pos:128359(8%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 2.0 * WORD_SCORE[points] + 1.75 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+2.0*7.23925363971508+1.75*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 426093.1132704545' final score ~ 426093 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id62178

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 27
  • Formulasearchengine score: 426093
  • Reference to collection: _PREFIX_/137/f054563.xhtml#id62178
found all required tokens in TeX $\wp$ at pos:132723(8%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 2.0 * WORD_SCORE[points] + 1.75 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+2.0*7.23925363971508+1.75*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 426093.1132704545' final score ~ 426093 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id53773

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 31
  • Formulasearchengine score: 424645
  • Reference to collection: _PREFIX_/149/f059498.xhtml#id53773
found all required tokens in TeX $\wp$ at pos:6630(2%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.75 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.75*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 424645.2625425115' final score ~ 424645 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id53890

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 32
  • Formulasearchengine score: 424645
  • Reference to collection: _PREFIX_/149/f059498.xhtml#id53890
found all required tokens in TeX $\wp$ at pos:8491(2%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.75 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.75*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 424645.2625425115' final score ~ 424645 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id57941

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 33
  • Formulasearchengine score: 424645
  • Reference to collection: _PREFIX_/149/f059498.xhtml#id57941
found all required tokens in TeX $\wp$ at pos:64604(17%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.75 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.75*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 424645.2625425115' final score ~ 424645 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id74737

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 34
  • Formulasearchengine score: 424645
  • Reference to collection: _PREFIX_/149/f059498.xhtml#id74737
found all required tokens in TeX $\wp$ at pos:310961(80%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.75 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.75*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 424645.2625425115' final score ~ 424645 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id76492

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 35
  • Formulasearchengine score: 424645
  • Reference to collection: _PREFIX_/149/f059498.xhtml#id76492
found all required tokens in TeX $\wp$ at pos:335948(87%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.75 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.75*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 424645.2625425115' final score ~ 424645 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id79558

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 36
  • Formulasearchengine score: 424645
  • Reference to collection: _PREFIX_/149/f059498.xhtml#id79558
found all required tokens in TeX $\wp$ at pos:381612(98%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.75 * WORD_SCORE[vanishes] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.75*31.3956231750289+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 424645.2625425115' final score ~ 424645 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id53904

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 38
  • Formulasearchengine score: 423624
  • Reference to collection: _PREFIX_/185/f073756.xhtml#id53904
found all required tokens in TeX $\wp$ at pos:7705(2%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.75 * WORD_SCORE[points] + 1.5 * WORD_SCORE[derivative] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.75*7.23925363971508+1.5*21.3763667589854+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 423624.35288767936' final score ~ 423624 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id103071

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 40
  • Formulasearchengine score: 421559
  • Reference to collection: _PREFIX_/193/f076900.xhtml#id103071
found all required tokens in TeX $\wp:=\wp(x_{0}+\omega^{{\prime}})\,,\quad\tilde{\wp}:=\wp(x_{0}+\omega^{{\prime}}+d)\,,\quad\wp _{0}:=\wp(d)\,.$ at pos:739778(90%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + PMML_SCORE * 0.0625 + PMML_SCORE * 0.03125 + 1.99609375 * WORD_SCORE[points] + 1.9921875 * WORD_SCORE[derivative] + 1.984375 * TOKEN_SCORE[wp] + 1.9999847412109375 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+2000.0*0.0625+2000.0*0.03125+1.99609375*7.23925363971508+1.9921875*21.3763667589854+1.984375*61.0062636998818+1.9999847412109375*5.92879328325965E-4 = 421559.64498766296' final score ~ 421559 reviewer: xxx gave 0
Rendered MathML:
:=x0+ω,~:=x0+ω+d,0:=d.:=subscriptx0superscriptω:=~subscriptx0superscriptωd:=subscript0d\wp:=\wp(x_{0}+\omega^{{\prime}})\,,\quad\tilde{\wp}:=\wp(x_{0}+\omega^{{\prime}}+d)\,,\quad\wp _{0}:=\wp(d)\,.
End of MathML
.

Hit id104668

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 42
  • Formulasearchengine score: 420598
  • Reference to collection: _PREFIX_/146/f058125.xhtml#id104668
found all required tokens in TeX $\wp$ at pos:813495(68%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9999847412109375 * WORD_SCORE[points] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9999847412109375*7.23925363971508+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 420598.8681686001' final score ~ 420598 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id104691

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 43
  • Formulasearchengine score: 420598
  • Reference to collection: _PREFIX_/146/f058125.xhtml#id104691
found all required tokens in TeX $\wp$ at pos:813854(68%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9999847412109375 * WORD_SCORE[points] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9999847412109375*7.23925363971508+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 420598.8681686001' final score ~ 420598 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id104753

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 44
  • Formulasearchengine score: 420598
  • Reference to collection: _PREFIX_/146/f058125.xhtml#id104753
found all required tokens in TeX $\wp$ at pos:814958(69%) PMML match: 0=mi[℘] PMML exact match bonus. Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE + 1.9999847412109375 * WORD_SCORE[points] + 1.5 * TOKEN_SCORE[wp] + 1.5 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0+1.9999847412109375*7.23925363971508+1.5*61.0062636998818+1.5*5.92879328325965E-4 = 420598.8681686001' final score ~ 420598 reviewer: xxx gave 0
Rendered MathML:
\wp
End of MathML
.

Hit id59833

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 51
  • Formulasearchengine score: 419596
  • Reference to collection: _PREFIX_/51/f020099.xhtml#id59833
found all required tokens in TeX ${\cal T}^{{0\,\mu}}_{{\ \ \ \nu}}={\rm diag}(-\varrho _{0}c^{2},\wp _{0},\wp _{0},\wp _{0}),\ \ \ \ \ {\cal T}^{{1/2\,\mu}}_{{\ \ \ \ \ \nu}}={\rm diag}(-\varrho _{{1/2}}c^{2},\wp _{{1/2}},\wp _{{1/2}},\wp _{{1/2}}).$ at pos:95732(14%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + PMML_SCORE * 0.0625 + PMML_SCORE * 0.03125 + 1.75 * WORD_SCORE[derivative] + 1.984375 * TOKEN_SCORE[wp] + 1.9999999995343387 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+2000.0*0.0625+2000.0*0.03125+1.75*21.3763667589854+1.984375*61.0062636998818+1.9999999995343387*5.92879328325965E-4 = 419596.91321163333' final score ~ 419596 reviewer: xxx gave 0
Rendered MathML:
Tν0μ=diag-ϱ0c2,0,0,0,Tν1/2μ=diag-ϱ1/2c2,1/2,1/2,1/2.subscriptsuperscriptT0μνdiagsubscriptϱ0superscriptc2subscript0subscript0subscript0subscriptsuperscriptT12μνdiagsubscriptϱ12superscriptc2subscript12subscript12subscript12{\cal T}^{{0\,\mu}}_{{\ \ \ \nu}}={\rm diag}(-\varrho _{0}c^{2},\wp _{0},\wp _{0},\wp _{0}),\ \ \ \ \ {\cal T}^{{1/2\,\mu}}_{{\ \ \ \ \ \nu}}={\rm diag}(-\varrho _{{1/2}}c^{2},\wp _{{1/2}},\wp _{{1/2}},\wp _{{1/2}}).
End of MathML
.

Hit id129093

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 53
  • Formulasearchengine score: 417122
  • Reference to collection: _PREFIX_/73/f028891.xhtml#id129093
found all required tokens in TeX $\displaystyle=\prod _{{\wp{\dagger}6D}}(1-(\psi _{{E/K}}(\wp)N(\wp)^{{-s}})^{{-1}}\cdot\prod _{{\wp{\dagger}6D}}(1-\overline{\psi _{{E/K}}(\wp)}N(\wp)^{{-s}})^{{-1}}$ at pos:1182973(49%) PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] PMML match: 0=mi[℘] Scoringfunction: ' + TeX_HIT_SCORE + PMML_SCORE * 1.0 + PMML_SCORE * 0.5 + PMML_SCORE * 0.25 + PMML_SCORE * 0.125 + PMML_SCORE * 0.0625 + PMML_SCORE * 0.03125 + 1.75 * WORD_SCORE[points] + 1.984375 * TOKEN_SCORE[wp] + 1.999969482421875 * TOKEN_SCORE[\] =+100.0+2000.0*1.0+2000.0*0.5+2000.0*0.25+2000.0*0.125+2000.0*0.0625+2000.0*0.03125+1.75*7.23925363971508+1.984375*61.0062636998818+1.999969482421875*5.92879328325965E-4 = 417122.9184139518' final score ~ 417122 reviewer: xxx gave 0
Rendered MathML:
=6D(1-(ψE/K()N()-s)-16D(1-ψE/K¯N()-s)-1\displaystyle=\prod _{{\wp{\dagger}6D}}(1-(\psi _{{E/K}}(\wp)N(\wp)^{{-s}})^{{-1}}\cdot\prod _{{\wp{\dagger}6D}}(1-\overline{\psi _{{E/K}}(\wp)}N(\wp)^{{-s}})^{{-1}}
End of MathML
.

Hit id108360

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 77
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/143/f056826.xhtml#id108360
no match at pos:867653(000097%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id145670

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 78
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/152/f060582.xhtml#id145670
no match at pos:1377698(000100%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id55153

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 79
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/143/f056900.xhtml#id55153
no match at pos:25233(000004%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id56754

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 80
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/154/f061489.xhtml#id56754
no match at pos:50560(000007%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id57904

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 81
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/157/f062738.xhtml#id57904
no match at pos:68830(000014%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id59472

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 82
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/169/f067371.xhtml#id59472
no match at pos:89454(000039%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id59636

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 83
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/142/f056619.xhtml#id59636
no match at pos:92741(000033%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id62489

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 84
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/142/f056619.xhtml#id62489
no match at pos:134848(000047%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id62648

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 85
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/145/f057669.xhtml#id62648
no match at pos:138134(000030%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id63010

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 86
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/145/f057669.xhtml#id63010
no match at pos:143429(000031%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id63266

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 87
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/145/f057669.xhtml#id63266
no match at pos:146732(000032%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id64249

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 88
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/145/f057669.xhtml#id64249
no match at pos:161844(000035%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id64642

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 89
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/145/f057669.xhtml#id64642
no match at pos:167336(000036%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id65937

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 90
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/142/f056619.xhtml#id65937
no match at pos:185390(000065%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id66565

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 91
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/142/f056619.xhtml#id66565
no match at pos:195387(000069%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id69634

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 92
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/145/f057669.xhtml#id69634
no match at pos:243605(000053%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id76083

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 93
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/145/f057669.xhtml#id76083
no match at pos:345187(000075%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id77502

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 94
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/145/f057669.xhtml#id77502
no match at pos:367627(000080%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id85767

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 95
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/157/f062738.xhtml#id85767
no match at pos:483267(000095%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Hit id95181

  • Reviwer: xxx
  • Reviwer score: 0
  • Formulasearchengine rank: 96
  • Formulasearchengine score: 0
  • Reference to collection: _PREFIX_/155/f061749.xhtml#id95181
no match at pos:602460(000087%) VariableMap:[] Expects 1 occurences for 'wp' but has only 0 Expects 1 occurences for '\' but has only 0 Scoringfunction: ' + NO_SCORE =+0.0 = 0.0' final score ~ 0 reviewer: xxx gave 0
Rendered MathML:

End of MathML
.

Tags: