With (Built-in Mathematica Symbol)

With[{x = x_0, y = y_0, ...}, expr] specifies that in expr occurrences of the symbols x, y, ... should be replaced by x_0, y_0, ....

Needs (Built-in Mathematica Symbol)

Needs["context`"] loads an appropriate file if the specified context is not already in $Packages. Needs["context`", " file"] loads file if the specified context is not ...

Work with Sparse Matrices (Mathematica How To)

Sparse representations of matrices are useful because they do not store every element. If one particular value appears very frequently it can be very advantageous to use a ...

Generate TeX with Mathematica (Mathematica How To)

Mathematica notebooks provide a sophisticated environment for creating technical documents. In addition to typesetting within Mathematica , you can use Mathematica to ...

Work with Spline Functions (Mathematica How To)

Mathematica 's powerful spline functionality includes both numeric and symbolic support. Built-in basis polynomials and efficient spline construction provide a way to ...

Fit Models with Measurement Errors (Mathematica How To)

Particularly in the physical sciences, it is common to use measurement errors as weights to incorporate measured variation into the fitting. Weights have a relative effect on ...

Create Graphics with Spline Primitives (Mathematica How To)

Mathematica provides fully integrated spline graphics primitives, such as Bézier curves, B-spline curves, and B-spline surfaces. The spline primitives support a full range of ...

Generate Plots with Two Vertical Scales (Mathematica How To)

Suppose two functions have the same domain and different ranges. Plotting them together using Plot uses the same scale for the y values. To compare the functions, TwoAxisPlot ...

Work with Rules (Mathematica How To)

Rules are a key part of Mathematica 's powerful expression transformation language. These "How tos" give step-by-step instructions for using rules in Mathematica .

Work with Tables (Mathematica How To)

Mathematica 's extensive capabilities for presenting data, text, graphics, and dynamic elements in formatted tables give you control over all elements of layout and styling. ...