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) ...

NIntegrate Introduction NIntegrate Integration Strategies NIntegrate Integration Rules

Searching for local minima and maxima. This finds the value of x which minimizes Γ(x), starting at x2. The last element of the list gives the value at which the minimum is ...

If you represent the n^th term in a sequence as a[n], you can use a recurrence equation to specify how it is related to other terms in the sequence. RSolve takes recurrence ...

Many large-scale applications of linear algebra involve matrices that have many elements, but comparatively few that are nonzero. You can represent such sparse matrices ...

Derivatives in Mathematica work essentially the same as in standard mathematics. The usual mathematical notation, however, often hides many details. To understand how ...

When Mathematica transforms an expression such as x+x into 2x, it is treating the variable x in a purely symbolic or formal fashion. In such cases, x is a symbol which can ...

FindHamiltonianCycle[g] attempts to find a Hamiltonian cycle.

AndersonDarlingTest[data] tests whether data is normally distributed using the Anderson\[Dash]Darling test.AndersonDarlingTest[data, dist] tests whether data is distributed ...

BodePlot[g] gives the Bode plot of a rational function g in one complex variable.BodePlot[sys] gives the Bode plot of a TransferFunctionModel or StateSpaceModel object ...