Dt[f, x] gives the total derivative d f/d x. Dt[f] gives the total differential d f. Dt[f, {x, n}] gives the multiple derivative d^n f/d x^n. Dt[f, x_1, x_2, ...] gives d/d ...

Range[i_max] generates the list {1, 2, ..., i_max}. Range[i_min, i_max] generates the list {i_min, ..., i_max}. Range[i_min, i_max, di] uses step di.

RegionBinarize[image, marker, d] gives a binary version of image that includes the foreground pixels of marker and also connected regions whose pixel values are within a ...

Within a standard interactive session, you can create "subsessions" or dialogs using the Mathematica command Dialog. Dialogs are often useful if you want to interact with ...

The built-in functions in Mathematica operate in a wide variety of ways. But many of the mathematical functions share an important approach: they are set up so as to reduce ...

CellGroup[{cell_1, cell_2, ...}] gives an open group of cells that can appear in a Mathematica notebook.CellGroup[{cell_1, cell_2, ...}, 1] gives a cell group in which only ...

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

InputString[] interactively reads in a character string. InputString[prompt] requests input, displaying prompt as a "prompt". InputString[prompt, init] in a notebook front ...

SimilarityRules is an option for functions such as SequenceAlignment that gives a list of rules for similarity scores to assume between pairs of elements.

The simplest way to mix text and formulas in a Mathematica notebook is to put each kind of material in a separate cell. Sometimes, however, you may want to embed a formula ...