Experiments in the recently discovered vanadium-based kagome metals have suggested that their charge-ordered state displays not only bond distortions, characteristic of a ``real'' charge density wave (rCDW), but also time-reversal symmetry breaking, typical loop currents described by an ``imaginary'' (iCDW). Here, we combine density-functional theory, group and phenomenological modeling to inve...

Let R be a real closed field and D ⊂ R an ordered domain. We give an algorithm that takes as input a polynomial Q ⊂ D[X1, . . . , Xk], and computes a description of a roadmap of the set of zeros, Zer(Q,R), of Q in R. The complexity of the algorithm, measured by the number of arithmetic operations in the domain D, is bounded by d √ , where d = deg(Q) ≥ 2. As a consequence, there exist algorithms...

Introduction The ordered field of rationals (Q, ≤, +, ·) is an ordered algebraic structure — i.e. a poset with additional operations. to complete the rationals — that is, to embed the rationals into a structure where every (bounded) subset has a join and meet. This is a very good completion as it preserves all existing joins and meets as well as many algebraic properties. Introduction Ordered a...

The respective study covers three aspects; factors determining credit rating, credit rating impact on performance of entities and the relation between stock returns and credit rating. The study focuses on the firms listed in Taiwan Stock Exchange (TSE) of Taiwan. The empirical analysis uses the data of 50 firms rated by Taiwan Ratings Corporation (TRC) for the period 2010-2015. Two estimation t...

The glutamine/asparagine (Q/N)-rich yeast prion protein Sup35 has a low intrinsic propensity to spontaneously self-assemble into ordered, beta-sheet-rich amyloid fibrils. In yeast cells, de novo formation of Sup35 aggregates is greatly facilitated by high protein concentrations and the presence of preformed Q/N-rich protein aggregates that template Sup35 polymerization. Here, we have investigat...

We study the RKKY Heisenberg model on a three-dimensional stacked-triangular lattice under magnetic fields by extensive Monte Carlo simulations to get insight into chiral-degenerate symmetric skyrmion crystal (SkX) in centrosymmetric metallic magnets. The triple-$q$ SkX state and double-$q$ states are realized, together with single-$q$ state. find an unexpected phenomenon of replica-symmetry br...

Given a compact connected abelian group G, its dual group Γ can be ordered (in a non-canonical way) so that it becomes an ordered group. It is known that, for any such ordering on Γ and p in the range 1 < p < ∞, the characteristic function χI of an interval I in Γ is a p−multiplier with a uniform bound (independent of I) on the corresponding operator SI on Lp(G). In this note it is shown that, ...

Longest common extension queries (often called longest common prefix queries) constitute a fundamental building block in multiple string algorithms, for example computing runs and approximate pattern matching. We show that a sequence of q LCE queries for a string of size n over a general ordered alphabet can be realized in O(q log log n + n log n) time making only O(q + n) symbol comparisons. C...

This paper investigates a novel fuzzy Petri nets (FPNs) method based on q-rung orthopair sets (q-ROFSs) to provide an efficient solution uncertain knowledge representation and reasoning. It not only improves FPN’s flexibility in parameter reasoning algorithms but also addresses the challenging problem that most FPNs cannot implement backward reasoning, which is common task reversely inferring c...

A narrow region of Zn-vacancy-containing cubic perovskites was formed in the (1-x)Ba3(ZnNb2)O9-x)Ba3W2O9 system up to 2 mol%substitution (x=0.02). The introduction of cation vacancies enhanced the stability of the 1:2 B-site ordered form of the structure, Ba(Zn1-x-x)1/3(Nb1-xWx)2/ 3O3, which underwent an order–disorder transition at 1410°C, ∼35° higher than pure Ba(Zn1/3Nb2/3)O3. The Zn vacanci...