The constraint satisfaction problem (CSP) of a first-order theory T is the computational deciding whether given conjunction atomic formulas satisfiable in some model T. We study complexity CSP$(T_1 \cup T_2)$ where $T_1$ and $T_2$ are theories with disjoint finite relational signatures. prove that if temporal structures, i.e., structures all relations have definition $(Q;<)$, then P or NP-compl...

in proposition 2.6 in (g‎. ‎gruenhage‎, ‎a‎. ‎lutzer‎, ‎baire and volterra spaces‎, ‎textit{proc‎. ‎amer‎. ‎math‎. ‎soc.} {128} (2000)‎, ‎no‎. ‎10‎, ‎3115--3124) a condition that‎ ‎every point of $d$ is $g_delta$ in $x$ was overlooked‎. ‎so we‎ ‎proved some conditions by which a baire space is equivalent to a‎ ‎volterra space‎. ‎in this note we show that if $x$ is a‎ ‎monotonically normal $t_1$...

We prove that given a measure preserving system \begin{document}$ (X,\mathcal{B},\mu,T_1,\dots, T_d) $\end{document} with commuting, ergodic transformations id="M2">\begin{document}$ T_i such id="M3">\begin{document}$ T_iT_j^{-1} are for all id="M4">\begin{document}$ i \neq j $\end{document}</i...

Strong anomalous diffusion is characterized by asymptotic power-law growth of the moments displacement, with exponents that do not depend linearly on order moment. The concerning small-order are dominated random motion, while higher-order grow faster trajectories, such as ballistic excursions or "light fronts". Often a situation two linear dependencies their order. Here, we introduce simple exa...

Let \(Cb_n\) be the group of basis conjugating automorphisms a free \(\mathbb {F}_n\), and \(C_n\) {F}_n\). Valerij G. Bardakov has constructed representations \(Cb_n\), in groups \(GL_n(\mathbb {Z}[{t_1}^{\pm 1}, \ldots ,{t_n}^{\pm 1}])\) {Z}[{t}^{\pm respectively, where \(t_1, , t_n, t\) are indeterminate variables. We show that these reducible we determine irreducible components {C})\), whic...

Abstract One of the major telecommunication and network service providers in Indonesia is PT Indosat Tbk. During coronavirus (COVID-19) pandemic, daily stock price that company was influenced by government policies. This study addresses data movement from February 5, 2020 to 2021, resulted 243 data, using Geometric Brownian motion (GBM). The stochastic process realization this fluctuates increa...

Starting from a sequence {pn{x; no)} of orthogonal polynomials with an orthogonality measure yurj supported on Eo C [—1,1], we construct a new sequence {p„(x;fi)} of orthogonal polynomials on£ = T~1(Eq) (T is a polynomial of degree TV) with an orthogonality measure [i that is related to noIf Eo = [—1,1], then E = T_1([-l,l]) will in general consist of TV intervals. We give explicit formulas rel...

Graph theory, which is used effectively in many fields from science to liberal arts, has very important place our lives. As a result of this, the topological structure graphs studied by researchers. In this paper, we investigate spaces generated graphs. The states being an accumulation point and interior these are examined. It defined that relative topology on subgraph graph. shown different su...

Double blind $T$-private information retrieval (DB-TPIR) enables two users, each of whom specifies an index ($\theta_1, \theta_2$, resp.), to efficiently retrieve a message $W(\theta_1,\theta_2)$ labeled by the indices, from set $N$ servers that store all messages $W(k_1,k_2), k_1\in\{1,2,\cdots,K_1\}, k_2\in\{1,2,\cdots,K_2\}$, such users' indices are kept private any up $T_1,T_2$ colluding se...