Tr (Built-in Mathematica Symbol)

Tr[list] finds the trace of the matrix or tensor list. Tr[list, f] finds a generalized trace, combining terms with f instead of Plus. Tr[list, f, n] goes down to level n in ...

Parts of Expressions (Mathematica Tutorial)

Since lists are just a particular kind of expression, it will come as no surprise that you can refer to parts of any expression much as you refer to parts of a list. This ...

StirlingS2 (Built-in Mathematica Symbol)

StirlingS2[n, m] gives the Stirling number of the second kind \[ScriptCapitalS]_n^(m).

GeneratingFunction (Built-in Mathematica Symbol)

GeneratingFunction[expr, n, x] gives the generating function in x for the sequence whose n\[Null]^th series coefficient is given by the expression ...

Factorial (Built-in Mathematica Symbol)

n! gives the factorial of n.

\[CirclePlus] (Mathematica Character Name)

Unicode: 2295. Alias: Esc c+ Esc. Infix operator. x ⊕ y is by default interpreted as CirclePlus[x,y]. Used in mathematics for various operations related to addition, such as ...

HurwitzLerchPhi (Built-in Mathematica Symbol)

HurwitzLerchPhi[z, s, a] gives the Hurwitz\[Dash]Lerch transcendent \[CapitalPhi](z, s, a).

The Representation of Power Series (Mathematica Tutorial)

Power series are represented in Mathematica as SeriesData objects. The power series is printed out as a sum of terms, ending with O[x] raised to a power. Internally, however, ...

TeXForm (Built-in Mathematica Symbol)

TeXForm[expr] prints as a TeX version of expr.

Blocks and Local Values (Mathematica Tutorial)

Modules in Mathematica allow you to treat the names of variables as local. Sometimes, however, you want the names to be global, but values to be local. You can do this in ...