Do Algebraic Calculations (Mathematica How To)

These "How tos" give step-by-step instructions for common tasks related to algebraic computation in Mathematica .

FunctionSpace (Built-in Mathematica Symbol)

FunctionSpace is an option for FindSequenceFunction and related functions that specifies the space of functions to consider for representations.

Inequalities (Mathematica Tutorial)

Just as the equation x^2+3x==2 asserts that x^2+3x is equal to 2, so also the inequality x^2+3x>2 asserts that x^2+3x is greater than 2. In Mathematica, Reduce works not only ...

SymplecticPartitionedRungeKutta Method ... (Mathematica Tutorial)

When numerically solving Hamiltonian dynamical systems it is advantageous if the numerical method yields a symplectic map. If the Hamiltonian can be written in separable ...

JacobiCS (Built-in Mathematica Symbol)

JacobiCS[u, m] gives the Jacobi elliptic function cs(u | m).

Exists (Built-in Mathematica Symbol)

Exists[x, expr] represents the statement that there exists a value of x for which expr is True. Exists[x, cond, expr] states that there exists an x satisfying the condition ...

RevolutionPlot3D (Built-in Mathematica Symbol)

RevolutionPlot3D[f_z, {t, t_min, t_max}] generates a plot of the surface of revolution with height f_z at radius t.RevolutionPlot3D[f_z, {t, t_min, t_max}, {\[Theta], ...

Citation Management (Mathematica Tutorial)

With Mathematica's citation management features, you can annotate and add references to research papers written using Mathematica. These features work in conjunction with the ...

Hypergeometric Functions (Mathematica Guide)

Hundreds of thousands of mathematical results derived at Wolfram Research give Mathematica unprecedented strength in the transformation and simplification of hypergeometric ...

PowerMod (Built-in Mathematica Symbol)

PowerMod[a, b, m] gives a^b mod m. PowerMod[a, -1, m] finds the modular inverse of a modulo m.PowerMod[a, 1/r, m] finds a modular r\[Null]^th root of a.