SystemsModelSeriesConnect (Built-in Mathematica Symbol)

SystemsModelSeriesConnect[sys_1, sys_2] connects TransferFunctionModel or StateSpaceModel objects sys_1 and sys_2 in series. SystemsModelSeriesConnect[sys_1, sys_2, {y, u}] ...

WaveletMapIndexed (Built-in Mathematica Symbol)

WaveletMapIndexed[f, wd] applies the function f to the arrays of coefficients and indices of a ContinuousWaveletData or DiscreteWaveletData object.WaveletMapIndexed[f, dwd, ...

Gauss–Newton Methods (Mathematica Tutorial)

For minimization problems for which the objective function is a sum of squares, it is often advantageous to use the special structure of the problem. Time and effort can be ...

Quasi-Newton Methods (Mathematica Tutorial)

There are many variants of quasi-Newton methods. In all of them, the idea is to base the matrix B_k in the quadratic model on an approximation of the Hessian matrix built up ...

Statistical Plots Package (Statistical Plots Package Tutorial)

A wide variety of plots and charts are used to gain an overview of data from a statistical perspective. Some summarize statistical computations on the data, while others ...

Newton's Method (Mathematica Tutorial)

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

Termination Conditions (Mathematica Tutorial)

Mathematically, sufficient conditions for a local minimum of a smooth function are quite straightforward: x^* is a local minimum if ∇f(x^*)=0 and the Hessian ∇^2f(x^*) is ...

Result Sets (DatabaseLink Tutorial)

When many rows of data are returned from a database query, a significant amount of memory may be required to hold the result. If all of the data does not need to be available ...

Remote Definitions (Parallel Package Tutorial)

Parallel kernels do not have access to the values of variables defined in the master kernel, nor do they have access to locally defined functions. Mathematica contains a ...

Partition (Built-in Mathematica Symbol)

Partition[list, n] partitions list into non-overlapping sublists of length n. Partition[list, n, d] generates sublists with offset d. Partition[list, {n_1, n_2, ...}] ...