We give new proofs of theorems on alternating subsets of integers by means of bijective transformations. It is shown that all known results are consequences of a simple result on the residue class of ...

Recently S. D. Cohen resolved a conjecture of Chowla and Zassenhaus (1968) in the affirmative by showing that, if f(x) and g(x) are integral polynomials of degree n ≥ 2 and p is a prime exceeding (n2 ...

The more ideas and possible mixes and matches a law department manager has available to choose from, the more permutations there are. Obvious, yes, but what are the mathematics? Let's consider an ...

Taken concurrently with EGR/MAT/PHY 191. An integrated course that covers the material of PHY 103 and MAT 201 with the emphasis on applications to engineering. Math topics include: vector calculus; ...

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Although naturally occurring proteins form stable defined tertiary structures, it is well known that many proteins with non-natural sequences have unstructured conformations 1,2. This suggests that ...