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Graphing a multivariate function
  Graphs (slices) a multivariate function, parametrically.
2024.Jul.03 12:21:30
Case function Case function used. •
npar, P Parameters: number, values. •
nvar, X Variables: number, values. •
mvar, δm Parametric variable, its δ (value ± δ).
kvar, δk Running variable, its δ (value ± δ). •
Show values ? Shows the graph coordinates.

Graphs, by "slicing" it, a function of several, 'nvar', variables. The variables are fixed at 'var' except: 'mvar', the parametric variable, varying ± δm, in 5 levels; and 'kvar', the running variable, sweeping ± δk.

Function No. 0 is a hyperparaboloid (make nvar = npar). Function No. 1, the base case, is z = p1 arctan(p2 + x²) + p3 (x² + y²), with known minimum at the origin. Function No. 2 is the following, with suggested: (two) parameters, 1, -4; and variables, origin, with δ's = 3.

Func.
For function No. 3, see DPGraph, Example 2: P = (1, -1), 3 variables, X = origin, δ's = 5.

References: Plate: Graphmult

• 1625-06-08: Cassini, Giovanni Domenico (1712-09-14).

 
 
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Created: 2010-06-09 — Last modified: 2010-06-11