Les fonctionnelles sur l'ensemble des fonctions continues bornées, définies dans un espace topologique
Let and be polynomials in one variable with complex coefficients and let be a natural number. Suppose that is not constant and has only simple roots. Then there is a rational function with if and only if the Wronskian of the functions is divisible by .
Let be a natural number. Let and be real polynomials such that is not a square and has imaginary roots, if it is not linear. Effective methods for the integration of are exhibited.
A compact set is constructed such that each horizontal or vertical line intersects in at most one point while the -dimensional measure of is infinite for every .
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