ConnectedComponents[g] gives the connected components of the graph g.ConnectedComponents[g, {v_1, v_2, ...}] gives the connected components that include at least one of the ...

ExponentialMovingAverage[list, \[Alpha]] gives the exponential moving average of list with smoothing constant \[Alpha].

LogPlot[f, {x, x_min, x_max}] generates a log plot of f as a function of x from x_min to x_max. LogPlot[{f_1, f_2, ...}, {x, x_min, x_max}] generates log plots of several ...

PolynomialQuotient[p, q, x] gives the quotient of p and q, treated as polynomials in x, with any remainder dropped.

VertexCoverQ[g, vlist] yields True if the vertex list vlist is a vertex cover of the graph g, and False otherwise.

WeierstrassZeta[u, {g_2, g_3}] gives the Weierstrass zeta function \[Zeta](u; g_2, g_3).

WeightedAdjacencyMatrix[g] gives the adjacency matrix of edge weights of the graph g.

The fundamental operation that Mathematica performs is evaluation. Whenever you enter an expression, Mathematica evaluates the expression, then returns the result. Evaluation ...

You can give Solve a list of simultaneous equations to solve. Solve can find explicit solutions for a large class of simultaneous polynomial equations. Here is a simple ...

Mathematica allows you to use special notation for many common operators. For example, although internally Mathematica represents a sum of two terms as Plus[x,y], you can ...