UnitTriangle (Built-in Mathematica Symbol)

UnitTriangle[x] represents the unit triangle function on the interval |x| <= 1 .UnitTriangle[x_1, x_2, ...] represents the multidimensional unit triangle function on the ...

Dummy Variables in Mathematics (Mathematica Tutorial)

When you set up mathematical formulas, you often have to introduce various kinds of local objects or "dummy variables". You can treat such dummy variables using modules and ...

Making Power Series Expansions (Mathematica Tutorial)

Functions for creating power series. Here is the power series expansion for exp(x) about the point x0 to order x^4. Here is the series expansion of exp(x) about the point ...

Vector Analysis Package (Vector Analysis Package Tutorial)

A three-dimensional coordinate system assigns three numbers to each point in space. In defining a coordinate system, you have to make a choice about what to measure and how ...

Solve a Partial Differential Equation (Mathematica How To)

Mathematica 's differential equation solving functions can be applied to many different classes of differential equations, automatically selecting the appropriate algorithms ...

GammaRegularized (Built-in Mathematica Symbol)

GammaRegularized[a, z] is the regularized incomplete gamma function Q(a, z).

Structure Matrices and Convolution ... (Mathematica Tutorial)

Constructing matrices with special shapes. This creates a matrix of 0s containing a radius 4 diamond of 1s. The result is a 9×9 matrix. The size of the matrix can be ...

Set (Built-in Mathematica Symbol)

lhs = rhs evaluates rhs and assigns the result to be the value of lhs. From then on, lhs is replaced by rhs whenever it appears. {l_1, l_2, ...} = {r_1, r_2, ...} evaluates ...

TransformationFunction (Built-in Mathematica Symbol)

TransformationFunction[data] represents a transformation function that applies geometric and other transformations.

StirlingS2 (Built-in Mathematica Symbol)

StirlingS2[n, m] gives the Stirling number of the second kind \[ScriptCapitalS]_n^(m).