This article investigates the nonlinear, steady boundary layer flow and heat transfer of an incompressible Eyring-Powell non-Newtonian fluid from an isothermal sphere with Biot number effects. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-difference Keller Box technique. The influ...

For Fr$acute{mathbf{text{e}}}$chet algebras $(A, (p_n))$ and $(B, (q_n))$, a linear map $T:Arightarrow B$ is textit{almost multiplicative} with respect to $(p_n)$ and $(q_n)$, if there exists $varepsilongeq 0$ such that $q_n(Tab - Ta Tb)leq varepsilon p_n(a) p_n(b),$ for all $n in mathbb{N}$, $a, b in A$, and it is called textit{weakly almost multiplicative} with respect to $(p_n)$ and $(q_n)$...

For any prime $p$, let $y(p)$ denote the smallest integer $y$ such that every reduced residue class $\pmod p$ is represented by product of some subset $\{1,\dots,y\}$. It easy to see at least as large quadratic nonresidue p$; we prove $y(p) \ll_\varepsilon p^{1/(4 \sqrt e)+\varepsilon}$, thus strengthening Burgess's classical result. This result intermediate strength between two other results, ...

Let \((X, d)\) be a semimetric space and let \(G\) graph. We say that is the diametrical graph of if \(X\) vertex set adjacency vertices \(x\) \(y\) equivalent to equality \(\diam X = d(x, y)\). It shown with diameter \(d^*\) ultrametric iff d_{\varepsilon})\) \(d_{\varepsilon}(x, y) \min\{d(x, y), \varepsilon\}\) complete multipartite for every \(\varepsilon \in (0, d^*)\). A refinement last r...

Abstract We study fast/slow systems driven by a fractional Brownian motion B with Hurst parameter $$H\in (\frac{1}{3}, 1]$$ H ∈ ( 1 3 , ] . Surprisingly, the sl...

in this paper, we deal to obtain some new complexity results for solving semidefinite optimization (sdo) problem by interior-point methods (ipms). we define a new proximity function for the sdo by a new kernel function. furthermore we formulate an algorithm for a primal dual interior-point method (ipm) for the sdo by using the proximity function and give its complexity analysis, and then we sho...

By $\mathcal{A}^2$ denote the class of analytic functions formBy form$f(z)=\sum_{n+m=0}^{+\infty}a_{nm}z_1^nz_2^m,$with {the} domain convergence $\mathbb{T}=\{z=(z_1,z_2)\in\mathbb C^2\colon|z_1|<1,\ |z_2|<+\infty\}=\mathbb{D}\times\mathbb{C}$ and$\frac{\partial}{\partial z_2}f(z_1,z_2)\not\equiv0$ in $\mathbb{T}.$ In this paper we prove some analogue Wiman's inequalityfor $f\in\mathcal{A...

In mathematical phylogenetics, types of events in a gene tree T are formalized by vertex labels t(v) and set-valued edge \(\lambda (e)\). The orthology paralogy relations between genes special case map \(\delta \) on the pairs leaves defined (x,y)=q\) if last common ancestor \({\text {lca}}(x,y)\) x y is labeled an event type q, e.g., speciation or duplication. Similarly, \(\varepsilon with \(m...