Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient-based methods use first ...

At the core of Mathematica's graphics language are geometrical objects, represented succinctly and efficiently by simple symbolic constructs —to which all of Mathematica's ...

$TimeZone gives the current time zone to assume for dates and times.

Converting between strings and lists of characters. This gives a list of the characters in the string. You can apply standard list manipulation operations to this list.

GainPhaseMargins[sys] gives the gain and phase margins of the linear time-invariant system sys.

n! gives the factorial of n.

Rescale[x, {min, max}] gives x rescaled to run from 0 to 1 over the range min to max. Rescale[x, {min, max}, {x_min, x_max}] gives x rescaled to run from x_min to x_max over ...

Newton's method for nonlinear equations is based on a linear approximation so the Newton step is found simply by setting M_k(p)=0, Near a root of the equations, Newton's ...

GCD[n_1, n_2, ...] gives the greatest common divisor of the n_i.

Interval[{min, max}] represents the range of values between min and max. Interval[{min_1 , max_1}, {min_2 , max_2}, ...] represents the union of the ranges min_1 to max_1, ...