MathieuS (Built-in Mathematica Symbol)

MathieuS[a, q, z] gives the odd Mathieu function with characteristic value a and parameter q.

Series, Limits, and Residues (Mathematica Overview)

Sums and Products Power Series Making Power Series Expansions

ButcherPlotRootSize (Numerical Differential Equation Analysis Package Symbol)

ButcherPlotRootSize is an option to ButcherPlot that specifies a scaling factor for the circle highlighting the root.

TreePlot (Built-in Mathematica Symbol)

TreePlot[{v i 1 -> v j 1, v i 2 -> v j 2, ...}] generates a tree plot of the graph in which vertex v_ik is connected to vertex v_jk.TreePlot[{{v i 1 -> v j 1, lbl_1}, ...}] ...

TreeGraph (Built-in Mathematica Symbol)

TreeGraph[{v_1, v_2, ...}, {u_1, u_2, ...}] yields a tree where u_i is the predecessor of v_i.TreeGraph[{e_1, e_2, ...}] yields a tree with edges e_j.TreeGraph[{v_1, v_2, ...

Advanced Matrix Operations (Mathematica Tutorial)

Finding singular values and norms of matrices. The singular values of a matrix m are the square roots of the eigenvalues of m.m^*, where * denotes Hermitian transpose. The ...

References (Mathematica Tutorial)

[AB04] Abell, M. L. and J. P. Braselton. Differential Equations with Mathematica. (3rd ed.) Elsevier Academic Press, 2004. [A89] Abramov, S. A. "Rational Solutions of Linear ...

Exact Global Optimization (Mathematica Tutorial)

Exact global optimization problems can be solved exactly using Minimize and Maximize. This computes the radius of the circle, centered at the origin, circumscribed about the ...

LatticeData (Built-in Mathematica Symbol)

LatticeData[lattice, " property"] gives the specified property for a lattice.LatticeData[n] gives a list of named lattices of dimension n.

LogGamma (Built-in Mathematica Symbol)

LogGamma[z] gives the logarithm of the gamma function log \[CapitalGamma](z).