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Straight Integration   (Mathematica Tutorial)
This equation is solved by simply integrating the right-hand side with respect to x. Here is a plot of the integral curves for different values of the arbitrary constant C[1].
Numerical Optimization   (Mathematica Tutorial)
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 ...
Symbolic Evaluation   (Mathematica Tutorial)
The functions FindMinimum, FindMaximum, and FindRoot have the HoldAll attribute and so have special semantics for evaluation of their arguments. First, the variables are ...
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 ...
Conjugate   (Built-in Mathematica Symbol)
Conjugate[z] or z\[Conjugate] gives the complex conjugate of the complex number z.
Rationalize   (Built-in Mathematica Symbol)
Rationalize[x] converts an approximate number x to a nearby rational with small denominator. Rationalize[x, dx] yields the rational number with smallest denominator that lies ...
Introduction to Unconstrained ...   (Mathematica Tutorial)
Mathematica has a collection of commands that do unconstrained optimization (FindMinimum and FindMaximum) and solve nonlinear equations (FindRoot) and nonlinear fitting ...
InverseJacobiCD   (Built-in Mathematica Symbol)
InverseJacobiCD[v, m] gives the inverse Jacobi elliptic function cd -1 (v \[VerticalSeparator] m).
InverseJacobiCN   (Built-in Mathematica Symbol)
InverseJacobiCN[v, m] gives the inverse Jacobi elliptic function cn -1 (v \[VerticalSeparator] m).
InverseJacobiCS   (Built-in Mathematica Symbol)
InverseJacobiCS[v, m] gives the inverse Jacobi elliptic function cs -1 (v \[VerticalSeparator] m).
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