Results of Multidimensional Theta Functions: Difference between revisions

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; Notation : [[21.1|21.1 Special Notation]]<br>
! DLMF !! Formula !! Maple !! Mathematica !! Symbolic<br>Maple !! Symbolic<br>Mathematica !! Numeric<br>Maple !! Numeric<br>Mathematica
; Properties : [[21.2|21.2 Definitions]]<br>[[21.3|21.3 Symmetry and Quasi-Periodicity]]<br>[[21.4|21.4 Graphics]]<br>[[21.5|21.5 Modular Transformations]]<br>[[21.6|21.6 Products]]<br>
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; Applications : [[21.7|21.7 Riemann Surfaces]]<br>[[21.8|21.8 Abelian Functions]]<br>[[21.9|21.9 Integrable Equations]]<br>
| [https://dlmf.nist.gov/21.7.E1 21.7.E1] || [[Item:Q6897|<math>P(\lambda,\mu) = 0</math>]] || <code>P*(lambda , mu) = 0</code> || <code>P*(\[Lambda], \[Mu]) == 0</code> || Skipped - no semantic math || Skipped - no semantic math || - || -
; Computation : [[21.10|21.10 Methods of Computation]]<br>[[21.11|21.11 Software]]<br>
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| [https://dlmf.nist.gov/21.7.E11 21.7.E11] || [[Item:Q6909|<math>\mu^{2} = Q(\lambda)</math>]] || <code>(mu)^(2) = Q*(lambda)</code> || <code>\[Mu]^(2) == Q*(\[Lambda])</code> || Skipped - no semantic math || Skipped - no semantic math || - || -
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| [https://dlmf.nist.gov/21.7.E13 21.7.E13] || [[Item:Q6911|<math>\boldsymbol{{\eta}}(T) = \boldsymbol{{\eta}}(T^{c})</math>]] || <code>eta*(T) = eta*((T)^(c))</code> || <code>\[Eta]*(T) == \[Eta]*((T)^(c))</code> || Skipped - no semantic math || Skipped - no semantic math || - || -
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| [https://dlmf.nist.gov/21.9.E1 21.9.E1] || [[Item:Q6917|<math>4u_{t} = 6uu_{x}+u_{xxx}</math>]] || <code>4*u[t] = 6*u*u[x]+ u[x*x*x]</code> || <code>4*Subscript[u, t] == 6*u*Subscript[u, x]+ Subscript[u, x*x*x]</code> || Skipped - no semantic math || Skipped - no semantic math || - || -
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| [https://dlmf.nist.gov/21.9.E2 21.9.E2] || [[Item:Q6918|<math>iu_{t} = -\tfrac{1}{2}u_{xx}+|u|^{2}u</math>]] || <code>I*u[t] = -(1)/(2)*u[x*x]+(abs(u))^(2)* u</code> || <code>I*Subscript[u, t] == -Divide[1,2]*Subscript[u, x*x]+(Abs[u])^(2)* u</code> || Skipped - no semantic math || Skipped - no semantic math || - || -
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| [https://dlmf.nist.gov/21.9.E3 21.9.E3] || [[Item:Q6919|<math>(-4u_{t}+6uu_{x}+u_{xxx})_{x}+3u_{yy} = 0</math>]] || <code>- 4*u[t]+ 6*u*u[x]+ u[x*x*x][x]+ 3*u[y*y] = 0</code> || <code>Subscript[- 4*Subscript[u, t]+ 6*u*Subscript[u, x]+ Subscript[u, x*x*x], x]+ 3*Subscript[u, y*y] == 0</code> || Skipped - no semantic math || Skipped - no semantic math || - || -
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Latest revision as of 17:36, 25 May 2021