Symbolic Parameters and Inexact ... (Mathematica Tutorial)

The differential equations that arise in practice are of two types. Here is an example of the first type. Here is an example of the second type. This equation has a symbolic ...

Sparse Arrays: Manipulating Lists (Mathematica Tutorial)

Lists are normally specified in Mathematica just by giving explicit lists of their elements. But particularly in working with large arrays, it is often useful instead to be ...

Working with String Patterns (Mathematica Tutorial)

The general symbolic string patterns in Mathematica allow you to perform powerful string manipulation efficiently. What follows discusses the details of string patterns, ...

GatherBy (Built-in Mathematica Symbol)

GatherBy[list, f] gathers into sublists each set of elements in list that gives the same value when f is applied.GatherBy[list, {f_1, f_2, ...}] gathers list into nested ...

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 ...

Result Sets (DatabaseLink Tutorial)

When many rows of data are returned from a database query, a significant amount of memory may be required to hold the result. If all of the data does not need to be available ...

Piecewise (Built-in Mathematica Symbol)

Piecewise[{{val_1, cond_1}, {val_2, cond_2}, ...}] represents a piecewise function with values val_i in the regions defined by the conditions cond_i. Piecewise[{{val_1, ...

SetPrecision (Built-in Mathematica Symbol)

SetPrecision[expr, p] yields a version of expr in which all numbers have been set to have precision p.

Equations in One Variable (Mathematica Tutorial)

The main equations that Solve and related Mathematica functions deal with are polynomial equations. It is easy to solve a linear equation in x. One can also solve quadratic ...

String Patterns (Mathematica Tutorial)

An important feature of string manipulation functions like StringReplace is that they handle not only literal strings but also patterns for collections of strings. This ...