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A plot of the solution given by DSolve can give useful information about the nature of the solution, for instance, whether it is oscillatory in nature. It can also serve as a ...

You can use the standard differential equation solving function, NDSolve , to numerically solve delay differential equations with constant delays. It returns an interpolation ...

PrimeNu[n] gives the number of distinct primes \[Nu](n) in n.

PrimeOmega[n] gives the number of prime factors counting multiplicities \[CapitalOmega](n) in n.

Mathematica provides permutation representations for many important finite groups. Some of these groups are members of infinite families, parametrized by one or more ...

You can search for Mathematica help from within Mathematica or on the Wolfram Research websites. The complete documentation is available in every copy of Mathematica as well ...

n! gives the factorial of n.

To run Mathematica from within an external program requires making use of many general features of MathLink. The first issue is how to establish a MathLink connection to ...

Assuming[assum, expr] evaluates expr with assum appended to $Assumptions, so that assum is included in the default assumptions used by functions such as Refine, Simplify, and ...