The symbolic language paradigm of Mathematica takes the concept of variables and functions to a new level. In Mathematica a variable can not only stand for a value, but can ...

Mathematica's highly optimized architecture makes it easy to create programs that are both elegant and efficient. Its symbolic character lets you immediately run and test ...

IntegerPartitions[n] gives a list of all possible ways to partition the integer n into smaller integers. IntegerPartitions[n, k] gives partitions into at most k integers. ...

ImageAlign[image_1, image_2] returns a version of image_2 that is aligned with image_1.

When Mathematica plots a graph for you, it has to make many choices. It has to work out what the scales should be, where the function should be sampled, how the axes should ...

FindGeometricTransform[pts_1, pts_2] finds a geometric transformation between two geometries pts_1 and pts_2, returning the alignment error together with the transformation ...

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 ...

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 ...

Expressions in Mathematica can be represented as strings in a variety of ways, for display, export, or processing. Mathematica provides powerful functions for formatting ...

Power series are in many ways the algebraic analog of limited-precision numbers. Mathematica can generate series approximations to virtually any combination of built-in ...