2.2: Difference between revisions
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Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
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{{DISPLAYTITLE:Asymptotic Approximations - 2.2 Transcendental Equations}} | |||
<div style="width: 100%; height: 75vh; overflow: auto;"> | <div style="width: 100%; height: 75vh; overflow: auto;"> | ||
{| class="wikitable sortable" style="margin: 0;" | {| class="wikitable sortable" style="margin: 0;" | ||
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! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica | ! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica | ||
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| [https://dlmf.nist.gov/2.2.E3 2.2.E3] | | | [https://dlmf.nist.gov/2.2.E3 2.2.E3] || <math qid="Q710">t^{2}-\ln@@{t} = y</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>t^{2}-\ln@@{t} = y</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>(t)^(2)- ln(t) = y</syntaxhighlight> || <syntaxhighlight lang=mathematica>(t)^(2)- Log[t] == y</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [36 / 36]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: 3.344534892-3.141592654*I | ||
Test Values: {t = -1.5, y = -1.5}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: .344534892-3.141592654*I | Test Values: {t = -1.5, y = -1.5}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: .344534892-3.141592654*I | ||
Test Values: {t = -1.5, y = 1.5}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: 2.344534892-3.141592654*I | Test Values: {t = -1.5, y = 1.5}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: 2.344534892-3.141592654*I | ||
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Test Values: {Rule[t, -1.5], Rule[y, 1.5]}</syntaxhighlight><br>... skip entries to safe data</div></div> | Test Values: {Rule[t, -1.5], Rule[y, 1.5]}</syntaxhighlight><br>... skip entries to safe data</div></div> | ||
|- | |- | ||
| [https://dlmf.nist.gov/2.2.E5 2.2.E5] | | | [https://dlmf.nist.gov/2.2.E5 2.2.E5] || <math qid="Q712">t^{2} = y+\ln@@{t}</math><br><syntaxhighlight lang="tex" style="font-size: 75%;" inline>t^{2} = y+\ln@@{t}</syntaxhighlight> || <math></math> || <syntaxhighlight lang=mathematica>(t)^(2) = y + ln(t)</syntaxhighlight> || <syntaxhighlight lang=mathematica>(t)^(2) == y + Log[t]</syntaxhighlight> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Failed [36 / 36]<div class="mw-collapsible-content"><syntaxhighlight lang=mathematica>Result: 3.344534892-3.141592654*I | ||
Test Values: {t = -1.5, y = -1.5}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: .344534892-3.141592654*I | Test Values: {t = -1.5, y = -1.5}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: .344534892-3.141592654*I | ||
Test Values: {t = -1.5, y = 1.5}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: 2.344534892-3.141592654*I | Test Values: {t = -1.5, y = 1.5}</syntaxhighlight><br><syntaxhighlight lang=mathematica>Result: 2.344534892-3.141592654*I | ||
Latest revision as of 11:01, 28 June 2021
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 2.2.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t^{2}-\ln@@{t} = y}
t^{2}-\ln@@{t} = y |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (t)^(2)- ln(t) = y
|
(t)^(2)- Log[t] == y
|
Failure | Failure | Failed [36 / 36] Result: 3.344534892-3.141592654*I
Test Values: {t = -1.5, y = -1.5}
Result: .344534892-3.141592654*I
Test Values: {t = -1.5, y = 1.5}
Result: 2.344534892-3.141592654*I
Test Values: {t = -1.5, y = -.5}
Result: 1.344534892-3.141592654*I
Test Values: {t = -1.5, y = .5}
... skip entries to safe data |
Failed [36 / 36]
Result: Complex[3.3445348918918354, -3.141592653589793]
Test Values: {Rule[t, -1.5], Rule[y, -1.5]}
Result: Complex[0.3445348918918356, -3.141592653589793]
Test Values: {Rule[t, -1.5], Rule[y, 1.5]}
... skip entries to safe data |
| 2.2.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t^{2} = y+\ln@@{t}}
t^{2} = y+\ln@@{t} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | (t)^(2) = y + ln(t)
|
(t)^(2) == y + Log[t]
|
Failure | Failure | Failed [36 / 36] Result: 3.344534892-3.141592654*I
Test Values: {t = -1.5, y = -1.5}
Result: .344534892-3.141592654*I
Test Values: {t = -1.5, y = 1.5}
Result: 2.344534892-3.141592654*I
Test Values: {t = -1.5, y = -.5}
Result: 1.344534892-3.141592654*I
Test Values: {t = -1.5, y = .5}
... skip entries to safe data |
Failed [36 / 36]
Result: Complex[3.3445348918918354, -3.141592653589793]
Test Values: {Rule[t, -1.5], Rule[y, -1.5]}
Result: Complex[0.3445348918918356, -3.141592653589793]
Test Values: {Rule[t, -1.5], Rule[y, 1.5]}
... skip entries to safe data |