Sum (Built-in Mathematica Symbol)

Sum[f, {i, i_max}] evaluates the sum \[Sum]i = 1 i_max f. Sum[f, {i, i_min, i_max}] starts with i = i_min. Sum[f, {i, i_min, i_max, di}] uses steps d i. Sum[f, {i, {i_1, i_2, ...

\[Intersection] (Mathematica Character Name)

Unicode: 22C2. Alias: Esc inter Esc. Infix operator with built-in evaluation rules. x ⋂ y is by default interpreted as Intersection[x,y]. The character ⋂ is sometimes called ...

Mathematics and Algorithms (Mathematica Overview)

"How to" Topics Numbers Algebraic Calculations

Patterns (Mathematica Overview)

Introduction Finding Expressions That Match a Pattern Naming Pieces of Patterns

DensityHistogram (Built-in Mathematica Symbol)

DensityHistogram[{{x_1, y_1}, {x_2, y_2}, ...}] plots a density histogram of the values {x_i, y_i}.DensityHistogram[{{x_1, y_1}, {x_2, y_2}, ...}, bspec] plots a density ...

FindDistributionParameters (Built-in Mathematica Symbol)

FindDistributionParameters[data, dist] finds the parameter estimates for the distribution dist from data.FindDistributionParameters[data, dist, {{p, p_0}, {q, q_0}, ...}] ...

Series Expansions (Mathematica Guide)

Power series are in many ways the algebraic analog of limited-precision numbers. Mathematica can generate series approximations to virtually any combination of built-in ...

Make Mathematica Speak (Mathematica How To)

Starting in Version 7, Mathematica includes expression-to-speech functionality. In principle, any Mathematica expression can be translated in this way.

Assuming (Built-in Mathematica Symbol)

Assuming[assum, expr] evaluates expr with assum appended to $Assumptions, so that assum is included in the default assumptions used by functions such as Refine, Simplify, and ...

OrthogonalProjection Method for NDSolve (Mathematica Tutorial)

Consider the matrix differential equation where the initial value y_0 y(0)∈^m×p is given. Assume that y_0^Ty_0I, that the solution has the property of preserving ...