DiagonalMatrix[list] gives a matrix with the elements of list on the leading diagonal, and 0 elsewhere. DiagonalMatrix[list, k] gives a matrix with the elements of list on ...

Root[f, k] represents the exact k\[Null]^th root of the polynomial equation f[x] == 0. Root[{f, x_0}] represents the exact root of the general equation f[x] == 0 near x = ...

SystemsModelStateFeedbackConnect[ss, controller] gives the closed-loop system for the StateSpaceModel object ss with state feedback controller ...

HypercubeGraph[n] gives the n-dimensional hypercube graph Q_n.

Two decades of intense R&D at Wolfram Research have given Mathematica by far the world's broadest and deepest coverage of special functions—and greatly expanded the whole ...

When fitting models to data, it is often useful to analyze how well the model fits the data and how well the fitting meets the assumptions of the model. For a number of ...

Fourier[list] finds the discrete Fourier transform of a list of complex numbers.

LQEstimatorGains[ss, {w, v}] gives the optimal estimator gain matrix for the StateSpaceModel object ss with process and measurement noise covariance matrices w and ...

The shooting method works by considering the boundary conditions as a multivariate function of initial conditions at some point, reducing the boundary value problem to ...

One significant advantage Mathematica provides is that it can symbolically compute derivatives. This means that when you specify Method->"Newton" and the function is ...