Elementary Functions - 4.12 Generalized Logarithms and Exponentials
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| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 4.12.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(x+1) = e^{\phi(x)}}
\phi(x+1) = e^{\phi(x)} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < x, x < \infty} | phi(x + 1) = exp(phi(x)) |
\[Phi][x + 1] == Exp[\[Phi][x]] |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.12.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(0) = 0}
\phi(0) = 0 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | phi(0) = 0 |
\[Phi][0] == 0 |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.12.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \psi(e^{x}) = 1+\psi(x)}
\psi(e^{x}) = 1+\psi(x) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < \infty} | psi(exp(x)) = 1 + psi(x) |
\[Psi][Exp[x]] == 1 + \[Psi][x] |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.12.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \psi(0) = 0}
\psi(0) = 0 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | psi(0) = 0 |
\[Psi][0] == 0 |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.12.E5 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(x) = \psi(x)}
\phi(x) = \psi(x) |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0 \leq x, x \leq 1} | phi(x) = psi(x) |
\[Phi][x] == \[Psi][x] |
Skipped - no semantic math | Skipped - no semantic math | - | - |
| 4.12.E6 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi(x) = \ln@{x+1}}
\phi(x) = \ln@{x+1} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -1 < x, x < 0} | phi(x) = ln(x + 1)
|
\[Phi][x] == Log[x + 1]
|
Failure | Failure | Error | Skip - No test values generated |
| 4.12.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \psi(x) = e^{x}-1}
\psi(x) = e^{x}-1 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle -\infty < x, x < 0} | psi(x) = exp(x)- 1 |
\[Psi][x] == Exp[x]- 1 |
Skipped - no semantic math | Skipped - no semantic math | - | - |