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

Reverse mathematics is a vibrant programme in mathematical logic that investigates the axioms necessary to establish fundamental theorems throughout mathematics. Central to this endeavour are ...

Engineering section of JagranJosh brings Online Test for JEE MAIN, JEE Advanced, UPSEEE, WBJEE and other engineering entrance examination to help the students in improving their performance and ...

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 ...

Combinatorial mathematics, or combinatorics for short, is the study of structures consisting of a finite number of objects. It mainly has three forms: enumerative (counting the number of structures of ...

Abstract: It is known that, when n is even, the number of permutations of {1,2,...,n} all of whose cycles have odd length equals the number of those all of whose cycles have even length. Adin, Hegedüs ...