x -= dx subtracts dx from x and returns the new value of x.

x - y is equivalent to x + (-1*y).

Unevaluated[expr] represents the unevaluated form of expr when it appears as the argument to a function.

TransformedDistribution[expr, x \[Distributed] dist] represents the transformed distribution of expr where the random variable x follows the distribution ...

AlgebraicNumberTrace[a] gives the trace of the algebraic number a.

MorphologicalGraph[image] gives a graph object that represents the connectivity of the morphological branch points and endpoints of the objects in image after applying ...

TopologicalSort[g] gives a list of vertices of g in topologically sorted order for a directed acyclic graph g.

Other tutorials have discussed explicit loading of Mathematica packages using <<package and Needs[package]. Sometimes, however, you may want to set Mathematica up so that it ...

Expectation[expr, x \[Distributed] dist] gives the expectation of expr under the assumption that x follows the probability distribution dist. Expectation[expr, x ...

Eigenvalues and eigenvectors. The eigenvalues of a matrix m are the values λ_i for which one can find nonzero vectors v_i such that m.v_i λ_iv_i. The eigenvectors are the ...