PrivateNotebookOptions -> {opt_1 -> val_1, opt_2 -> val_2, ...} is an option for notebooks that specifies various low-level notebook settings.

Sound[primitives] represents a sound. Sound[primitives, t] specifies that the sound should have duration t.Sound[primitives, {t_min, t_max}] specifies that the sound should ...

The Lotka–Volterra system arises in mathematical biology and models the growth of animal species. Consider two species where Y_1(T) denotes the number of predators and Y_2(T) ...

XMethods.com is a website that lists publicly available web services. It is a great place for finding web services and advertising web services that you provide. This example ...

ListCorrelate[ker, list] forms the correlation of the kernel ker with list. ListCorrelate[ker, list, k] forms the cyclic correlation in which the k \[Null]^th element of ker ...

CompileEvaluate[expr] compiles expr and then evaluates the resulting compiled code.

ExistsRealQ[ineqs, {x_1, x_2, ...}] tests whether there exist real values of the x_i for which the inequalities and equations ineqs are satisfied.

ForAllRealQ[ineqs, {x_1, x_2, ...}] tests whether for all real values of the x_i the inequalities and equations ineqs are satisfied.

ImpliesRealQ[ineqs_1, ineqs_2] tests whether the inequalities and equations ineqs_1 imply the ineqs_2 for all real values of all variables.