Eulerian polynomials have long occupied a central role in combinatorics, encapsulating critical information about permutation statistics. In their classical formulation, these polynomials encode the ...

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 ...

Last week’s installment on columnar transposition ciphers described a formula for the underlying permutation for a CTC. If we assume that the number of columns being used divides the length of the ...

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 ...

Permutation codes are mathematical constructs that utilise the properties of permutations to encode and protect information, with applications spanning powerline communications, flash memory storage ...

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 ...

Odyssey Math Tuition launches JC 2 H2 Math online tuition elearning course in Singapore, featuring a proprietary MOE-aligned ...

The Indian Institutes of Management will conduct the CAT 2023 exam on November 26, 2023. The exam consists of three sessions covering Verbal Ability and Reading Comprehension, Data Interpretation and ...

Source: The very fabric of society is being transformed by connections we don’t feel or understand Society’s next great acceleration isn’t driven by faster chips or bigger models, it’s emerging from ...