ShearingMatrix (Built-in Mathematica Symbol)

ShearingMatrix[\[Theta], v, n] gives the matrix corresponding to shearing by \[Theta] radians along the direction of the vector v, and normal to the vector n.

SystemsModelDimensions (Built-in Mathematica Symbol)

SystemsModelDimensions[sys] gives the number of inputs and outputs of a StateSpaceModel or TransferFunctionModel object sys.

VertexIndex (Built-in Mathematica Symbol)

VertexIndex[g, v] gives the integer index for the vertex v in the graph g.

ViewMatrix (Built-in Mathematica Symbol)

ViewMatrix is an option for Graphics3D and related functions that can be used to specify a pair of explicit homogeneous transformation and projection matrices for 3D ...

Convolutions and Correlations (Mathematica Tutorial)

Convolution and correlation are central to many kinds of operations on lists of data. They are used in such areas as signal and image processing, statistical data analysis, ...

Definite Integrals (Mathematica Tutorial)

Integration functions. Here is the integral ∫_a^bx^2 dx. This gives the multiple integral ∫_0^adx ∫_0^bd y(x^2+y^2).

Linear IVPs and BVPs (Mathematica Tutorial)

To begin, consider an initial value problem for a linear first-order ODE. This is a linear first-order ODE. Notice that the general solution is a linear function of the ...

Discrete Fourier Transforms (Mathematica Tutorial)

A common operation in analyzing various kinds of data is to find the discrete Fourier transform (or spectrum) of a list of values. The idea is typically to pick out ...

Output Formats for Numbers (Mathematica Tutorial)

Output formats for numbers. These numbers are given in the default output format. Large numbers are given in scientific notation. This gives all numbers in scientific ...

The Representation of Solution Sets (Mathematica Tutorial)

Any combination of equations or inequalities can be thought of as implicitly defining a region in some kind of space. The fundamental function of Reduce is to turn this type ...