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ObservabilityGramian[ss] gives the observability Gramian of the StateSpaceModel object ss.

PageRankCentrality[g, \[Alpha]] gives a list of page-rank centralities for the vertices in the graph g and weight \[Alpha].PageRankCentrality[g, \[Alpha], \[Beta]] gives a ...

Quartiles[list] gives a list of the 1/4, 1/2, and 3/4 quantiles of the elements in list.Quartiles[dist] gives a list of the 1/4, 1/2, and 3/4 quantiles of the symbolic ...

TableSpacing is an option for TableForm and MatrixForm which specifies how many spaces should be left between each successive row or column.

Using the objects described in "Introduction to Patterns", you can set up patterns for many kinds of expressions. In all cases, you must remember that the patterns must ...

Here is a system of two ODEs whose coefficient matrix has real and distinct eigenvalues. This solves the system. Note that the general solution depends on two arbitrary ...

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 ...

The numerical method of lines is a technique for solving partial differential equations by discretizing in all but one dimension, and then integrating the semi-discrete ...

Even with "Newton methods" where the local model is based on the actual Hessian, unless you are close to a root or minimum, the model step may not bring you any closer to the ...