NevilleThetaN[z, m] gives the Neville theta function \[CurlyTheta]_n (z \[VerticalSeparator] m).

NevilleThetaS[z, m] gives the Neville theta function \[CurlyTheta]_s (z \[VerticalSeparator] m).

To begin, consider an initial value problem for a linear first-order ODE. This is a linear first-order ODE. Notice that the general solution is a linear function of the ...

FunctionExpand[expr] tries to expand out special and certain other functions in expr, when possible reducing compound arguments to simpler ones. FunctionExpand[expr, assum] ...

SatisfiabilityCount[bf] counts the number of possible combinations of variable values that yield True when supplied as arguments to the Boolean function ...

Total[list] gives the total of the elements in list. Total[list, n] totals all elements down to level n. Total[list, {n}] totals elements at level n. Total[list, {n_1, n_2}] ...

"Gauss–Newton" and "conjugate gradient" methods use derivatives. When Mathematica cannot compute symbolic derivatives, finite differences will be used. Computing derivatives ...

It is often useful to be able to detect and precisely locate a change in a differential system. For example, with the detection of a singularity or state change, the ...

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 ...

ParallelEvaluate[expr] evaluates the expression expr on all available parallel kernels and returns the list of results obtained.ParallelEvaluate[expr, kernel] evaluates expr ...