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math.CA2003★ 2 cited
From Rolle's theorem to the Sturm-Hurwitz theorem
Guy Katriel
We present a proof of the Sturm-Hurwitz theorem, using basic calculus.
math.CA2002
Solution to Rubel's question about differentially algebraic dependence on initial values
Guy Katriel
We prove that, for generic systems of polynomial differential equations, the dependence of the solution on the initial conditions is not differentially algebraic. This answers, in…