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The solutions to many second-order ODEs can be expressed in terms of special functions. Solutions to certain higher-order ODEs can also be expressed using AiryAi, BesselJ, ...

Mathematica provides many functions to group terms in a polynomial, extract and sort the monomials, display them in various ways, and even process them as arbitrary ...

A very common batch processing task is to reduce the dimensions of a set of images in one or more system folders, in effect constructing thumbnail images. Mathematica 's file ...

The hierarchy of levels at which options can be set. Here is a notebook containing three cells. This is what happens when the setting CellFrame->True is made specifically for ...

You can tell a lot about what "type" of expression something is by looking at its head. Thus, for example, an integer has head Integer, while a list has head List. In a ...

Ways to get pieces of matrices. Matrices in Mathematica are represented as lists of lists. You can use all the standard Mathematica list-manipulation operations on matrices. ...

Built on powerful and elegant principles, the core Mathematica language provides a uniquely deep and rich programming language that scales from rapid prototyping to large ...

The MathLink library contains an extensive collection of C functions that allow arbitrary data and structure to be exchanged with Mathematica, and provide detailed control of ...

Nested lists are lists within a list; they are the principal structure for data in Mathematica and allow for high-dimension arrays and ragged datasets as well as common uses ...