StateResponse (Built-in Mathematica Symbol)

StateResponse[ss, u, t] gives the state response of the StateSpaceModel object ss to the input u as a function of time t.StateResponse[ss, u, {t, t_min, t_max}] gives the ...

TreePlot (Built-in Mathematica Symbol)

TreePlot[{v i 1 -> v j 1, v i 2 -> v j 2, ...}] generates a tree plot of the graph in which vertex v_ik is connected to vertex v_jk.TreePlot[{{v i 1 -> v j 1, lbl_1}, ...}] ...

OrthogonalProjection Method for NDSolve (Mathematica Tutorial)

Consider the matrix differential equation where the initial value y_0 y(0)∈^m×p is given. Assume that y_0^Ty_0I, that the solution has the property of preserving ...

Transforming XML (XML Package Tutorial)

Mathematica is uniquely suited for processing symbolic expressions because of its powerful pattern-matching abilities and large collection of built-in structural manipulation ...

Manipulate (Built-in Mathematica Symbol)

Manipulate[expr, {u, u_min, u_max}] generates a version of expr with controls added to allow interactive manipulation of the value of u. Manipulate[expr, {u, u_min, u_max, ...

SymplecticPartitionedRungeKutta Method ... (Mathematica Tutorial)

When numerically solving Hamiltonian dynamical systems it is advantageous if the numerical method yields a symplectic map. If the Hamiltonian can be written in separable ...

Newton's Method (Mathematica Tutorial)

One significant advantage Mathematica provides is that it can symbolically compute derivatives. This means that when you specify Method->"Newton" and the function is ...

Termination Conditions (Mathematica Tutorial)

Mathematically, sufficient conditions for a local minimum of a smooth function are quite straightforward: x^* is a local minimum if ∇f(x^*)=0 and the Hessian ∇^2f(x^*) is ...

CUDAFunctionLoad (CUDALink Symbol)

CUDAFunctionLoad[src, fun, argtypes, blockdim] loads CUDAFunction from scr and makes fun available in Mathematica.CUDAFunctionLoad[{srcfile}, fun, argtypes, blockdim] loads ...

Calling Mathematica from .NET (NETLink Tutorial)

"Calling .NET from Mathematica" describes using .NET/Link to allow you to call from Mathematica into .NET, thereby extending the Mathematica environment to include the ...