RootIntervals[{poly_1, poly_2, ...}] gives a list of isolating intervals for the real roots of any of the poly_i, together with a list of which polynomials actually have each ...

SingularValuePlot[m] gives the singular value plot of a matrix m of rational functions in one complex variable.SingularValuePlot[sys] gives the singular value plot of a ...

Sphere[{x, y, z}, r] represents a sphere of radius r centered at (x, y, z). Sphere[{x, y, z}] represents a sphere of radius 1. Sphere[{{x_1, y_1, z_1}, {x_2, y_2, z_2}, ...}, ...

Split[list] splits list into sublists consisting of runs of identical elements. Split[list, test] treats pairs of adjacent elements as identical whenever applying the ...

TimeConstraint is an option for various algorithmic functions which specifies how long to spend trying a particular transformation or part of an algorithm.

TransferFunctionCancel[tf] cancels common poles and zeros in the TransferFunctionModel object tf.TransferFunctionCancel[tf, crit] cancels only common pole-zero pairs e_i for ...

Union[list_1, list_2, ...] gives a sorted list of all the distinct elements that appear in any of the list_i. Union[list] gives a sorted version of a list, in which all ...

UnitStep[x] represents the unit step function, equal to 0 for x < 0 and 1 for x >= 0. UnitStep[x_1, x_2, ...] represents the multidimensional unit step function which is 1 ...

VertexShapeFunction is an option and property for Graph and related functions that specifies a function to use to generate primitives for rendering each vertex.

The differential equations that arise in modern applications often have discontinuous coefficients. DSolve can handle a wide variety of such ODEs with piecewise coefficients. ...