CharacteristicPolynomial[m, x] gives the characteristic polynomial for the matrix m. CharacteristicPolynomial[{m, a}, x] gives the generalized characteristic polynomial with ...

ConditionalExpression[expr, cond] is a symbolic construct that represents the expression expr when the condition cond is True.

DiagonalMatrix[list] gives a matrix with the elements of list on the leading diagonal, and 0 elsewhere. DiagonalMatrix[list, k] gives a matrix with the elements of list on ...

FullForm[expr] prints as the full form of expr, with no special syntax.

SkellamDistribution[\[Mu]_1, \[Mu]_2] represents a Skellam distribution with shape parameters \[Mu]_1 and \[Mu]_2.

TraditionalForm[expr] prints as an approximation to the traditional mathematical notation for expr.

If you have a list of elements, it is often important to be able to apply a function separately to each of the elements. You can do this in Mathematica using Map. This ...

When you make a definition in the form f[args]=rhs or f[args]:=rhs, Mathematica associates your definition with the object f. This means, for example, that such definitions ...

While differential equations have three basic types—ordinary (ODEs), partial (PDEs), or differential-algebraic (DAEs), they can be further described by attributes such as ...

The Mathematica function DSolve finds symbolic solutions to differential equations. (The Mathematica function NDSolve, on the other hand, is a general numerical differential ...