An in-depth description of an apparently forgotten matrix operation, the reversal operator, is developed. The properties of such an operation are also given, resulting in a new vector-matrix operation resembling the w...
This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specific...
Supported by the Young Innovative Talents Foundation in Guangdong Universities(2024WQNCX007).
The study revised the Parental Psychological Control Scale(PPCS)among Chinese college students(N=604)and analyzed its construct validity,criterion-related validity,internal reliability,and test-retest reliability usin...
Invariance times are stopping times T such that local martingales with respect to some reduced filtration and an equivalently changed probability measure,stopped before T,are local martingales with respect to the orig...
We study weak approximation with Brauer-Manin obstruction with respect to extensions of number fields.For any nontrivial extension L/K,assuming a conjecture of M.Stoll,we prove that there exists a K-threefold satisfyi...
Over the past two decades,means and mean equations have been popular directions of research in the field of functional equations.This paper first introduces the definition and properties of mean as well as the develop...
supported by the National Natural Science Foundation of China (Grant No.12171195).
An operator T on a separable,infinite dimensional,complex Hilbert space H is called conjugate normal if C|T|C=|T^(*)| for some conjugate linear,isometric involution C on H.This paper focuses on the invariance of conju...
The dynamics of atmosphere and ocean can be examined under different circumstances of shallow water waves like shallow water gravity waves,Kelvin waves,Rossby waves and inertio-gravity waves.The influences of these wa...
The Riemann hypothesis is intimately connected to the counting functions for the primes. In particular, Perron’s explicit formula relates the prime counting function to fixed points of iterations of the explicit form...
Background:Valid and reliable measures of depressive symptoms are crucial for understanding risk factors,outcomes,and interventions across rural and urban settings.Despite this need,the longitudinal invariance of thes...