One of the important features of Mathematica is that it can do symbolic, as well as numerical calculations. This means that it can handle algebraic formulas as well as ...

Orthogonalize[{v_1, v_2, ...}] gives an orthonormal basis found by orthogonalizing the vectors v_i.Orthogonalize[{e_1, e_2, ...}, f] gives a basis for the e_i orthonormal ...

CUDASort[vec] sorts the input vector.CUDASort[mem] sorts CUDAMemory in place.CUDASort[vec, op] sorts input with respect to the ordering function op.

Ever since Version 3 of Mathematica, there has been rich support for arbitrary mathematical typesetting and layout. Underlying all that power was a so-called box language, ...

MicroscopePlot[f, {x, a}] plots the expression f in a small neighborhood of a using machine arithmetic.MicroscopePlot[f, {x, a, n}] plots f from a - n ulps to a + n ulps.

MicroscopicErrorPlot[f, {x, a}] plots the error incurred by using machine arithmetic to evaluate the expression f in a small neighborhood of a.MicroscopicErrorPlot[f, {x, a, ...

Complement[e_all, e_1, e_2, ...] gives the elements in e_all which are not in any of the e_i.

GraphicsGroup[{g_1, g_2, ...}] represents a collection of graphics objects grouped together for purposes of interactive selection in a notebook.

Paste[expr] pastes expr at the current insertion point in the input notebook. Paste[notebook, expr] pastes expr to the specified notebook.Paste[] pastes the contents of the ...

Thick is a graphics directive that specifies that lines which follow should be drawn thick.