"The object of the present paper is to obtain several fuzzy differential subordinations associated with Linear operator $$\mathcal{D}_{n,\delta ,g}^{m}f(z) =z+\sum\limits_{j=2}^{\infty }\left[ 1+\left( j-1\right) c^{n}(\delta )\right] ^{m}a_{j}b_{j}z^{j}.$$ Using $\mathcal{D}_{n,\delta ,g}^{m},$ we also introduce a class $\mathcal{H}_{n,m,\delta }^{F}\left( \eta ,g\right) $ univalent analytic f...

We work on the classification of isomorphism classes finitely generated projective modules over C*-algebras $C\left( \mathbb{P}^{n}\left( \mathcal{T}\right) \right) $ and \mathbb{S}_{H}^{2n+1}\right) quantum complex spaces $\mathbb{P}^{n}\left( \mathcal{T} spheres $\mathbb{S}_{H}^{2n+1}$, line bundles $L_{k}$ $, studied by Hajac collaborators. Motivated groupoid approach Curto, Muhly, Renault t...

the purpose of the present study is to introduce the sequence space[{l_p}(e,delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left| sum_{j in {e_n}} x_j - sum_{j in e_{n + 1}} x_jright| ^p < infty right},]where $e=(e_n)$ is a partition of finite subsets of the positive integers and $pge 1$. the topological properties and inclusion relations of this space are studied. moreover, the prob...

"How to find any $n^{th}$ order B\'{e}zier curve if we know its first, second, and third derivatives?" Hence have examined the way based on control points with matrix form, while derivatives are given in $\mathbf{E}^{3}$. Further, of a cubic as an example. In this study first how Bezier known second derivatives, which inherently, $\left( n-1\right) ^{th}$ order, $\left(n-2\right) n-3\right) cur...

Doppler-derived myocardial performance index (MPI) , defined as the s um of isovolumetric contraction and relaxation durations divided by ejection time, is an easily measured and reproducible index that shows both systolic and diastolic myocardial function. The goal of this study was to define normal values of right ventricular MPI in neonates in the first 48 to 72 hours of life. Fifty-one...

Let R be a ring, M a right R-module, and n a fixed non-negative integer. M is called n-cotorsion if Extn+1 R N M = 0 for any flat right R-module N . M is said to be n-flat if ExtR M N = 0 for any n-cotorsion right R-module N . We prove that ( n n is a complete hereditary cotorsion theory, where n (resp. n) denotes the class of all n-flat (resp. n-cotorsion) right R-modules. Several applications...

An (n, d, ?)-graph is a d regular graph on n vertices in which the absolute value of any nontrivial eigenvalue at most ?. For constant ? 3, ? > 0 and all sufficiently large we show that there deterministic poly(n) time algorithm outputs an (on exactly vertices) with $$\lambda \le 2\sqrt {d - 1} + $$ . d=p 2 p ? 1 mod 4 prime n, describe strongly explicit construction \sqrt {2\left({d \right)} 2...