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Code Listing by Moiseev Igor

Code 1-4 of 4

### Artihmetic Geometric Mean 1.0 - Moiseev IgorTools / Development Tools

AGM calculates the Artihmetic Geometric Mean of A and B (see [1]).
The function is used in routines ELLIPJ and ELLIPTIC12.

[A,B,C,N] = AGM(A0,B0,C0,TOL)

carry out the process of the arithmetic geometric mean, starting with a given positive numbers triple (A0,B0,C0) and returns in (A,B,C) the generated sequence. N is a number of steps (returns in the type uint32).

### Elliptic Integrals and Jacobi's... - Moiseev IgorTools / Development Tools

ELLIPTIC12i evaluates the Incomplete Elliptic Integrals of the First, Second Kind and Jacobi's Zeta Function for the complex value of phase U. Parameter M must be in the range 0 <= M <= 1.

[Fi,Ei,Zi] = ELLIPTIC12i(U,M,TOL)

### Jacobi Theta and Eta Functions 1.0 - Moiseev IgorTools / Development Tools

[Th, H] = JACOBITHETAETA(U,M) returns the values of the Jacobi's theta and eta elliptic functions TH and H evaluated for corresponding elements of argument U and parameter M.

### Lorenz attaractor plot 1.0 - Moiseev IgorTools / Development Tools

The Lorenz attractor, named for Edward N. Lorenz, is an example of a non-linear dynamic system corresponding to the long-term behavior of the Lorenz oscillator.

The Lorenz oscillator is a 3-dimensional dynamical system that exhibits...