The Main Loop (Mathematica Tutorial)

In any interactive session, Mathematica effectively operates in a loop. It waits for your input, processes the input, prints the result, then goes back to waiting for input ...

Series (Built-in Mathematica Symbol)

Series[f, {x, x_0, n}] generates a power series expansion for f about the point x = x_0 to order (x - x_0) n. Series[f, {x, x_0, n_x}, {y, y_0, n_y}, ...] successively finds ...

EulerEquations (Variational Methods Package Symbol)

EulerEquations[f, u[x ], x] returns the Euler\[Dash]Lagrange differential equation obeyed by u[x] derived from the functional f, where f depends on the function u[x] and its ...

ArgMin (Built-in Mathematica Symbol)

ArgMin[f, x] gives a position x_min at which f is minimized.ArgMin[f, {x, y, ...}] gives a position {x_min, y_min, ...} at which f is minimized.ArgMin[{f, cons}, {x, y, ...}] ...

DiracDelta (Built-in Mathematica Symbol)

DiracDelta[x] represents the Dirac delta function \[Delta](x). DiracDelta[x_1, x_2, ...] represents the multidimensional Dirac delta function \[Delta](x_1, x_2, ...).

HeavisideTheta (Built-in Mathematica Symbol)

HeavisideTheta[x] represents the Heaviside theta function \[Theta](x), equal to 0 for x < 0 and 1 for x > 0. HeavisideTheta[x_1, x_2, ...] represents the multidimensional ...

LiftingFilterData (Built-in Mathematica Symbol)

LiftingFilterData[...] represents lifting-filter data used to compute forward and inverse lifting wavelet transforms.

Log (Built-in Mathematica Symbol)

Log[z] gives the natural logarithm of z (logarithm to base e). Log[b, z] gives the logarithm to base b.

Maximize (Built-in Mathematica Symbol)

Maximize[f, x] maximizes f with respect to x.Maximize[f, {x, y, ...}] maximizes f with respect to x, y, .... Maximize[{f, cons}, {x, y, ...}] maximizes f subject to the ...

MinValue (Built-in Mathematica Symbol)

MinValue[f, x] gives the minimum value of f with respect to x.MinValue[f, {x, y, ...}] gives the minimum value of f with respect to x, y, .... MinValue[{f, cons}, {x, y, ...