DigitCount[n, b, d] gives the number of d digits in the base-b representation of n. DigitCount[n, b] gives a list of the numbers of 1, 2, ..., b - 1, 0 digits in the base-b ...

RiccatiSolve[{a, b}, {q, r}] gives the matrix x that is the stabilizing solution of the continuous algebraic Riccati equation ConjugateTranspose[a].x + x.a - ...

Hold[expr] maintains expr in an unevaluated form.

If you have installed Mathematica in a location where multiple users can run it (for example, on a file server or multi-user machine), then you can set up systemwide defaults ...

HoldComplete[expr] shields expr completely from the standard Mathematica evaluation process, preventing even upvalues associated with expr from being used.

TrigExpand[expr] expands out trigonometric functions in expr.

ListPlot[{y_1, y_2, ...}] plots points corresponding to a list of values, assumed to correspond to x coordinates 1, 2, .... ListPlot[{{x_1, y_1}, {x_2, y_2}, ...}] plots a ...

Mathematica makes it easy to take even the most complicated derivatives involving any of its huge range of differentiable special functions.

LayeredGraphPlot[{v i 1 -> v j 1, v i 2 -> v j 2, ...}] generates a layered plot of the graph in which vertex v_ik is connected to vertex v_jk.LayeredGraphPlot[{{v i 1 -> v j ...

Mathematica notebooks allow you to create documents that can be viewed interactively on screen or printed on paper. Particularly in larger notebooks, it is common to have ...