What Is MathLM? (Mathematica Tutorial)

MathLM administers licenses for organizations running multiple instances of Mathematica with a network license. Network licenses have two very important advantages: MathLM is ...

PermutationReplace (Built-in Mathematica Symbol)

PermutationReplace[expr, perm] replaces each part in expr by its image under the permutation perm.PermutationReplace[expr, gr] returns the list of images of expr under all ...

KarhunenLoeveDecomposition (Built-in Mathematica Symbol)

KarhunenLoeveDecomposition[{a_1, a_2, ...}] gives the Karhunen\[Dash]Loeve transform {b_1, b_2, ...} of the numerical arrays {a_1, a_2, ...} and the transformation matrix m, ...

Sequence Alignment & Comparison (Mathematica Guide)

Mathematica includes state-of-the-art algorithms for sequence alignment and comparison, capable of handling strings and lists containing very large numbers of elements.

Combine and Rearrange Lists (Mathematica How To)

Mathematica provides a complete data manipulation language with vast flexibility in rearranging lists with any number of elements in any kind of structure.

\[Backslash] (Mathematica Character Name)

Unicode: 2216. Alias: Esc \ Esc. Infix operator. x ∖ y is by default interpreted as Backslash[x,y]. Used in mathematics for set difference. Also used to separate arguments of ...

\[CapitalUpsilon] (Mathematica Character Name)

Unicode: 03A5. Aliases: Esc U Esc, Esc Upsilon Esc. Greek letter. Not commonly used. Used in physics for bOverscriptBox[b, _] particles, and in the quantum theory of ...

\[CircleDot] (Mathematica Character Name)

Unicode: 2299. Alias: Esc c. Esc. Infix operator. x ⊙ y is by default interpreted as CircleDot[x,y]. Used in mathematics for various operations related to multiplication, ...

\[Congruent] (Mathematica Character Name)

Unicode: 2261. Alias: Esc === Esc. Infix similarity operator. x ≡ y is by default interpreted as Congruent[x,y]. Used in mathematics for many notions of equivalence and ...

\[Coproduct] (Mathematica Character Name)

Unicode: 2210. Alias: Esc coprod Esc. Infix operator. x ∐ y is by default interpreted as Coproduct[x,y]. ∐ x is by default interpreted as Coproduct[x]. Coproduct is used as ...