In this manuscript, we will study \({\tilde{o}}\)-convergence in (partially) ordered vector spaces and a kind of convergence space V. A V is called semi-order (in short space), if there exist an W operator T from into W. way, say that with respect to \(\{W, T\}\). net \(\{x_\alpha \}\subseteq V\) said be \({\{W,T\}}\)-order convergent \(x\in write \(x_\alpha \xrightarrow {\{W, T\}}x\)), wheneve...

In this paper, we present a new vision for studying ${F}$-open, ${F}$-continuous, and ${F}$-irresolute function in $(L,M)$-fuzzy topological spaces based on the implication operation and $(L,M)$-fuzzy ${F}$-open operator cite{2}. These kinds of functions are generalized with their elementary properties to $(L,M)$-fuzzy topological spaces setting based on graded concepts. Moreover, a systematic ...

Abstract The anisotropic microstructure of white matter is reflected in various MRI contrasts. Transverse relaxation rates can be probed as a function fibre-orientation with respect to the main magnetic field, while diffusion properties are an encoding gradient. While latter easy obtain by varying orientation gradient, field fixed, obtaining former requires re-orienting head. In this work we de...

Digital signature schemes in general and representative collective digital schemes, particular, are often built based on the difficulty of discrete logarithm problem finite field, elliptic curve, factor analysis, finding roots modulo large primes or a combination difficult problems mentioned above. In this paper, we use new problem, which is to find with root ground field GF(p) build but chosen...

Motivated by the potential for cuprate-like superconductivity in monolayer rare-earth nickelate superlattices, we study effects of crystal field splitting, lattice distortions and strain on charge, magnetic, orbital order undoped two-dimensional (2D) monolayers $R$NiO$_3$. We use a two-band Hubbard model to describe low-energy electron states, with correlations controlled effective $U$ Hund's $...

Abstract We study and classify smooth bounded domains in an analytic Riemannian manifold which are critical for the heat content at all times $$t&gt;0$$ t &gt; 0 . do that by first computing variation of content, then showing $$\Omega $$ Ω</mml:...

Diakonov theory of quantum gravity, in which tetrads emerge as the bilinear combinations fermionis fields,\cite{Diakonov2011} suggests that general relativity metric may have dimension 2, i.e. $[g_{\mu\nu}]=1/[L]^2$. Several other approaches to including model superplastic vacuum and $BF$-theories gravity support this suggesuion. The important consequence such is all diffeomorphism invariant qu...