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| 1. SETUP: Define a function $f(z) = \sqrt(1/3) z^2 + i/3$. COMPUTATION: Compute the first 5 digits of the numerator of the real part of $f(f(f(...(f(I/2))...)$ iterated $10$ times. | 1. SETUP: Define a function $f(z) = \sqrt(1/3) z^2 + i/3$. COMPUTATION: Compute the first 5 digits of the numerator of the real part of $f(f(f(...(f(i/2))...)$ iterated $10$ times. |
The Symbolic Benchmark Challenge Suite
SETUP: Let f = (x+y+z+1)^20. COMPUTATION: Compute all coefficients of all monomials of f\cdot (f+1), i.e., expand that expression.
SETUP: Define a function f(z) = \sqrt(1/3) z^2 + i/3. COMPUTATION: Compute the first 5 digits of the numerator of the real part of f(f(f(...(f(i/2))...) iterated 10 times.