in this paper, we investigate the continuity of linear and sublinear correspondences defined on cones in normed spaces. we also generalize some known results for sublinear correspondences.

background and objective: one way to promote education quality is to evaluate faculty activities by students, departmental heads, and the dean. the degree of correspondence between students' and departmental heads' evaluation shows how honest they are in their assessment. the current paper intends to find the truth.     materials and methods : questionnaires were used to conduct the s...

The correspondence principle is important in quantum theory on both the fundamental and practical levels: it is needed to connect theory to experiment, and for calculations in the technologically important domain lying between the atomic and classical regimes. Moreover, a correspondenceprinciple part of the S-matrix is normally separated out in quantum electrodynamics in order to obtain a remai...

We propose a general method for finding pointwise correspondence between 2-D shapes based on the concept of order structure and using geometric hashing. The problem of finding correspondence and the problem of establishing shape equivalence can be considered as one and the same problem. Given shape equivalence, we can in general find pointwise correspondence and the existence of a unambiguous c...

The correspondence principle in physics between quantum mechanics and classical suggests deep relations spectral geometric entities of Riemannian manifolds. We survey---in a way intended to be accessible wide audience mathematicians---a mathematically rigorous instance such relation that emerged recent years, showing dynamical interpretation certain Laplace eigenfunctions hyperbolic surfaces.

A unifying approach to software and hardware design generated by ideas of Idempotent Mathematics is discussed. The so-called idempotent correspondence principle for algorithms, programs and hardware units is described. A software project based on this approach is presented.

Based on quantum mechanical framework for the minimal length uncertainty, we demonstrate that generalized uncertainty principle (GUP) parameter could be best constrained by recent gravitational waves observations one hand. On other hand this suggests modified dispersion relations (MDRs) enabling an estimation difference between group velocity of gravitons and photons. Utilizing features UV/IR c...

We provide a dynamical proof of the van der Corput inequality for sequences in Hilbert spaces that is based on Furstenberg correspondence principle. This done by reducing to mean ergodic theorem contractions spaces. The key difficulty therein principle is, priori, limited scalar-valued sequences. We, therefore, discuss how interpreting via Gelfand–Naimark–Segal construction C∗-algebras allows s...

*Correspondence: [email protected] Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China Abstract In this article, the demiclosedness principle for total asymptotically pseudocontractions in Banach spaces is established. The strong convergence to a common fixed point of total asymptotically pseudocontractive semigroups in Banach spaces is established based on the demiclosednes...