The paper studies a geometrically unfitted finite element method (FEM), known as trace FEM or cut FEM, for the numerical solution of Stokes system posed on closed smooth surface. A based standard Taylor-Hood (continuous P2-P1) bulk elements is proposed. so-called volume normal derivative stabilization, from literature an essential ingredient this method. key result proved in inf-sup stability P...

Let N1 = p1q1 and N2 = p2q2 be two different RSA moduli. Suppose that p1 = p2 mod 2 t for some t, and q1 and q2 are α bit primes. Then May and Ritzenhofen showed that N1 and N2 can be factored in quadratic time if t ≥ 2α+ 3. In this paper, we improve this lower bound on t. Namely we prove that N1 and N2 can be factored in quadratic time if t ≥ 2α+ 1. Further our simulation result shows that our...

In this work, byemploying the Leggett-Williams fixed point theorem, we study theexistence of at least three positive solutions of boundary valueproblems for system of third-order ordinary differential equationswith $(p_1,p_2,ldots,p_n)$-Laplacianbegin{eqnarray*}left { begin{array}{ll} (phi_{p_i}(u_i''(t)))'  +  a_i(t) f_i(t,u_1(t), u_2(t), ldots, u_n(t)) =0 hspace{1cm} 0  leq t leq 1, alpha_i u...

Artin’s braid group $$B_n$$ is generated by $$\sigma _1, \ldots , \sigma _{n-1}$$ subject to the relations $$\begin{aligned} _i _{i+1} = _{i+1}, \quad _i\sigma _j \text { if } |i-j|>1. \end{aligned}$$ For complex parameters $$q_1,q_2$$ such that $$q_1q_2 \ne 0$$ acts on vector space $$\mathbf {E}= \sum \mathbb {C}\mathbf {e}_i$$ with basis {e}_1, \mathbf {e}_n$$ \cdot {e}_i= & {} (q_1+q_2)\math...

Continued fractions have been widely studied in the field of p p -adic numbers alttext="double-struck upper Q Subscript p"> <mml:mr...