A differential system can sometimes be solved by analytic means. The function DSolve implements many of the known algorithmic techniques. However, differential systems that ...

It is often useful to be able to detect and precisely locate a change in a differential system. For example, with the detection of a singularity or state change, the ...

Mathematica has a collection of commands that do unconstrained optimization (FindMinimum and FindMaximum) and solve nonlinear equations (FindRoot) and nonlinear fitting ...

TLE geospatial file format. Satellite data format. Stores Keplerian parameters of satellite orbits. TLE is an acronym for Two Line Element. ASCII format. Developed by the ...

InputForm[expr] prints as a version of expr suitable for input to Mathematica.

Max[x_1, x_2, ...] yields the numerically largest of the x_i. Max[{x_1, x_2, ...}, {y_1, ...}, ...] yields the largest element of any of the lists.

Thread[f[args]] "threads" f over any lists that appear in args. Thread[f[args], h] threads f over any objects with head h that appear in args. Thread[f[args], h, n] threads f ...

The solution given by DSolve can be verified using various methods. The easiest method involves substituting the solution back into the equation. If the result is True, the ...

FindArgMax[f, x] gives the position x_max of a local maximum of f.FindArgMax[f, {x, x_0}] gives the position x_max of a local maximum of f, found by a search starting from ...

FindArgMin[f, x] gives the position x_min of a local minimum of f.FindArgMin[f, {x, x_0}] gives the position x_min of a local minimum of f, found by a search starting from ...