The volume of central diagonal hyperplane sections of the unit n-cube is strictly monotonically increasing in n for n ≥ 3.
The Curious History of Fa di Bruno’s Formula
2 Pith papers cite this work. Polarity classification is still indexing.
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Upper bounds on the number of irreducible factors of certain integer polynomials are obtained from prime factorizations of evaluated values and complex root locations, extending to bivariate polynomials via non-Archimedean valuations.
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Central diagonal sections of the $n$-cube
The volume of central diagonal hyperplane sections of the unit n-cube is strictly monotonically increasing in n for n ≥ 3.
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Prime numbers and factorization of polynomials
Upper bounds on the number of irreducible factors of certain integer polynomials are obtained from prime factorizations of evaluated values and complex root locations, extending to bivariate polynomials via non-Archimedean valuations.