Comment on The Fundamental Theorem of Algebra: A Visual Approach [pdf]parentComments−kmill9yI just added an iteration operator to https://math.berkeley.edu/~kmill/tools/zgraph/zgraph.htmlExample: z^2-0.4+0.57i+0.03*e^(i t) iterate 150Use shift+left and shift+right to adjust the rate at which t varies. It starts at constant 0.It also now has a composition operator: "z^2 then e^z then 1/z" computes 1/(e^(z^2)).The precedence rule is that "f1(z) iterate 3 then f2(z) iterate 3" is "(f1(z) iterate 3) then (f2(z) iterate 3)", which is f2(f2(f2(f1(f1(f1(z)))))).−tempodox9yNeat :)
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I just added an iteration operator to https://math.berkeley.edu/~kmill/tools/zgraph/zgraph.html
Example: z^2-0.4+0.57i+0.03*e^(i t) iterate 150
Use shift+left and shift+right to adjust the rate at which t varies. It starts at constant 0.
It also now has a composition operator: "z^2 then e^z then 1/z" computes 1/(e^(z^2)).
The precedence rule is that "f1(z) iterate 3 then f2(z) iterate 3" is "(f1(z) iterate 3) then (f2(z) iterate 3)", which is f2(f2(f2(f1(f1(f1(z)))))).
Neat :)