expr /. rules applies a rule or list of rules in an attempt to transform each subpart of an expression expr.

A standard electronic calculator does all your calculations to a particular accuracy, say ten decimal digits. With Mathematica, however, you can often get exact results. ...

FindInstance[expr, vars] finds an instance of vars that makes the statement expr be True. FindInstance[expr, vars, dom] finds an instance over the domain dom. Common choices ...

ExclusionsStyle is an option to plotting functions that specifies how to render subregions excluded according to Exclusions.

ChemicalData["name", " property"] gives the value of the specified property for the chemical " name".ChemicalData["name"] gives a structure diagram for the chemical with the ...

Mathematica uses the powerful idea of building up all 2D and 3D graphics from symbolic primitives—which can be manipulated using all standard Mathematica functions and ...

Mathematica automatically uses sophisticated algorithms to track the precision of approximate numbers. Particularly for some verification applications, however, it is ...

ComponentMeasurements[m, " prop"] computes the values of property prop for each component of a label matrix m that consists of identical elements.ComponentMeasurements[image, ...

! expr is the logical NOT function. It gives False if expr is True, and True if it is False.

Just as the equation x^2+3x==2 asserts that x^2+3x is equal to 2, so also the inequality x^2+3x>2 asserts that x^2+3x is greater than 2. In Mathematica, Reduce works not only ...