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--- pow:problem2s25 [2025/02/23 20:48]
mazur created
+++ pow:problem2s25 [2025/02/28 15:33] (current)
mazur
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+<box 85% round orange| Problem 2 (due Monday, February 24)>
+Is it possible to find two functions $f,g:\mathbb R\longrightarrow \mathbb R$ and a rational function $S(u,w)$ in two variables such that
+\[\cos(xy)=S(f(x),g(y))\]
+for all real numbers $x,y$. (Recall that a rational function in 2 variables is a quotient of two
+polynomial functions in two variables).
+</box>
+The problem was solved by Josiah Moltz and Dr Mathew Wolak. Their solutions follow the same idea as
+our in-house solution. For details see the following link {{:pow:2025sproblem2.pdf|Solution}}.