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1. 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. 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. 2. |
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.