Given an involutive automorphism θ of a Coxeter system (W,S), let I(θ) ⊆W denote the set of twisted involutions. We provide a minimal set of moves that can be added to the braid moves, in order to connect all reduced S-expressions (also known as admissible sequences, reduced Iθ-expressions, or involution words) for any given w ∈ I(θ). This can be viewed as an analogue of the well-known word pro...

language textbooks are conventionally expected to develop the four language macro-skills, including listening, reading, writing and speaking in language learners. however, mastering the reading skill is of particular importance, since it enhances the comprehension of specialized texts in students. the objective of this research is to investigate the scientific aspect of persian textbooks in tea...

drawing up the insurance contracts by insurance companies has led to disregard policyholder's rights. this means that insurers by inserting unfair terms in insurance contracts seek to make a contract that they gain special privileges for themselves. jurists as main opponents of injustice regard commitment not to insert unfair terms as one of the insurer's pre-contractual obligations i...

Consider the inhomogeneous Erd\H{o}s-R\'enyi random graph (ERRG) on $n$ vertices for which each pair $i,j\in\{1,\ldots,n\}$, $i\neq j$ is connected independently by an edge with probability $r_n(\frac{i-1}{n},\frac{j-1}{n})$, where $(r_n)_{n\in\mathbb{N}}$ a sequence of graphons converging to reference graphon $r$. As generalization celebrated LDP ERRGs Chatterjee and Varadhan (2010), Dhara Sen...

in most of the real-life applications we deal with the problem of transporting some special fruits, as banana, which has particular production and distribution processes. in this paper we restrict our attention to formulating and solving a new bi-criterion problem on a network in which in addition to minimizing the traversing costs, admissibility of the quality level of fruits is a main objecti...

the aim of this paper is to prove new quantitative uncertainty principle for the generalized fourier transform connected with a dunkl type operator on the real line. more precisely we prove an lp-lq-version of morgan's theorem.