SUBWORD COMPLEXES (W,S) finite Coxeter system, Q = q1q2 · · · qm ∈ S∗, and ρ ∈W . Subword complex SC(Q, ρ) = simplicial complex with • vertices = [m] = positions in Q, • facets =F(Q, ρ) = complements of reduced expressions of ρ in Q. Exm. Q = τ2τ3τ1τ3τ2τ1τ2τ3τ1 in (S4, {(i i+ 1)}) ρ = [4, 1, 3, 2] = τ2τ3τ2τ1 = τ3τ2τ3τ1 = τ3τ2τ1τ3 F(Q, ρ) = {1, 2, 3, 5, 6}, {1, 2, 3, 6, 7}, {1, 2, 3, 7, 9}, {1, ...

We prove the following theorem about relative entropy of quantum states. Substate theorem: Let ρ and σ be quantum states in the same Hilbert space with relative entropy S(ρ‖σ) := Tr ρ(log ρ− log σ) = c. Then for all > 0, there is a state ρ′ such that the trace distance ‖ρ′ − ρ‖tr := Tr p (ρ′ − ρ)2 ≤ , and ρ′/2O(c/ 2) ≤ σ. It states that if the relative entropy of ρ and σ is small, then there is...

Medical waste is a type of hazardous because it comes from equipment that has the potential to contain infectious agents, toxic and radioactive materials. Many studies suggest every individual who involved or interacts with hospital environment very vulnerable exposure medical waste. Quantitative research method cross-sectinal study approach total sample 31 cleaning staff at Laburan Baji Hospit...

International Labor Organization (ILO) pada peralihan milenium kedua dan ketiga mengungkap terjadinya 250 juta kecelakaan yang terjadi di industri dunia menyebabkan 300.000 kematian. Tambahan pula, setiap tahun 160 penyakit akibat hubungan kerja baru. Jenis penelitian ini adalah kuantitatif dengan menggunakan desain studi cross sectional study. Penelitian bertujuan untuk mengetahui faktor berhu...

Background. Precise estimation of the glomerular filtration rate (GFR) and the identification of markers of progression are important. We compared creatinine, cystatin, and combined CKD-EPI equations with (99m)Tc-DTPA scintigraphy to measure GFR and proteinuria as markers of progression. Methods. Cross-sectional, observational study including 300 subjects. CKD was classified by (99m)Tc-DTPA sci...

and Applied Analysis 3 2. Preliminaries Firstly, we recall some definitions of fractional calculus, which can be found in 11–14 . Definition 2.1. The Riemann-Liouville fractional derivative of order α > 0 of a continuous function f : 0,∞ → R is given by Df t 1 Γ n − α ( d dt )n ∫ t 0 f s t − s α−n 1 ds, 2.1 where n α 1 and α denotes the integer part of number α, provided that the right side is ...

A novel algorithm is presented that yields precise estimates of coexisting liquid and gas densities, ρ(T ), from grand canonical Monte Carlo simulations of model fluids near criticality. The algorithm utilizes data for the isothermal minima of the moment ratio QL(T ; 〈ρ〉L) ≡ 〈m2〉2L/〈m 〉L in L× · · ·×L boxes, where m = ρ − 〈ρ〉L. When L→∞ the minima, Q±m(T ;L), tend to zero while their locations,...

0 ∣∣∣∣Reh(z)− ρ 1− ρ ∣∣∣∣ dθ ≤ kπ, z = re, where k > 2 and 0 ≤ ρ < 1. This class was introduced by Padmanabhan et al. in [9]. We note that Pk(0) = Pk, see Pinchuk [11], P2(ρ) = P (ρ), the class of analytic functions with positive real part greater than ρ and P2(0) = P, the class of functions with positive real part. From (1.2) we can easily deduce that h(z) ∈ Pk(ρ) if, and only if, there exists...

We'll review the study of Galois deformations. Here's the setup. Let G be a pro nite group, and let ρ : G→ GLn(k) be a representation of G over a nite eld k of characteristic p. Let Λ be a complete DVR with residue eld k, and let CΛ denote the category whose objects are artinian local Λ-algebras with residue eld k, and whose morphisms are local homomorphisms. Let ĈΛ denote the category of compl...

The concept of Strong Backdoor Sets (SBS) for Constraint Satisfaction Problems is well known as one the attempts to exploit structural peculiarities in hard instances. However, practice, finding an SBS a particular instance often harder than solving it. Recently, probabilistic weakened variant was introduced: SBS, all subproblems must be polynomially solvable, whereas only large fraction ρ them...