In this paper we construct predictor-corrector (PC) methods based on the trivial predictor and stochastic implicit Runge–Kutta (RK) correctors for solving stochastic differential equations. Using the colored rooted tree theory and stochastic B-series, the order condition theorem is derived for constructing stochastic RK methods based on PC implementations. We also present detailed order conditi...

Let e1, . . . , ek be complex n× n matrices such that eiej = −ejei whenever i 6= j. We conjecture that • rk(e21) + rk(e 2 2) + · · ·+ rk(e 2 k) ≤ O(n log n). We show that (i). rk(en1 ) + rk(e n 2 ) + · · ·+ rk(e n k ) ≤ O(n log n), (ii). if e21, . . . , e 2 k 6= 0 then k ≤ O(n), (iii). if e1, . . . , ek have full rank, or at least n−O(n/ log n), then k = O(log n). (i) implies that the conjectur...

The present study includes 50 patients symptomatic for tuberculous meningitis and 15 patients with meningitis other than tuberculosis The CSF specimens were subjected for ADA titer estimation, AFB smear preparation and molecular characterization by Nested-PCR for IS6110 gene. Out of 50 specimens 2 came AFB smear positive whereas 29 specimens came positive for Tuberculosis (TB) PCR and 21were ne...

Consider (C?)k acting on CN satisfying certain ‘quasi-symmetric’ condition which produces a class of toric Calabi-Yau GIT quotient stacks. Using subcategories Coh([CN/(C?)k]) generated by line bundles whose weights are inside zonotope called the ‘magic window’, Halpern-Leistner and Sam give combinatorial construction equivalences between derived categories coherent sheaves for various quotients...

OBJECTIVE Few studies have concomitantly examined shoulder subluxation and other potential causes of shoulder pain in persons who have had a stroke. This study explores whether shoulder pain after stroke is related to shoulder subluxation, age, limitations in shoulder range of motion, and upper extremity motor impairment. METHOD Shoulder pain was measured with a visual analog scale in 20 subj...

the aim of this paper is a) if σak2 < ∞ then σak rk(x) is in bmo that{rk(x)} is rademacher system. b) p1k=1 ak!nk (x) 2 bmo; 2k  nk < 2k+1that f!n(x)g is walsh system. c) if jakj < 1k then p1k=1 ak!k(x) 2 bmo.

Salinity is an important factor in reduced cucumber yield and quality. Grafting on the resistant rootstock could keep growth near to optimum condition. The aim of the present research is to investigate the characteristics of different rootstocks on physiology and fruit characteristics of cucumber. Treatments were rootstocks [Rn: Nongrafted (Cucumis sativus v. DAVOSII), Rt: Tanbal (Cucurbita max...

The context of this work is the development first order total variation diminishing (TVD) implicit-explicit (IMEX) Runge-Kutta (RK) schemes as a basis Multidimensional Optimal Order detection (MOOD) approach to approximate solution hyperbolic multi-scale equations. A key feature our newly proposed TVD that resulting CFL condition does not depend on fast waves considered model, long they are int...

For a graph G, the k-recolouring Rk(G) is whose vertices are k-colourings of G and two colourings joined by an edge if they differ in colour on exactly one vertex. We prove that for all n≥1, there exists k-colourable weakly chordal where Rk+n(G) disconnected, answering open question Feghali Fiala. also show every 3K1-free Rk+1(G) connected with diameter at most 4|V(G)|.

The authors analyzed refractive results of patients who underwent radial keratotomy (RK) at sea level and high altitude and evaluated the effects of the altitude. A total of 102 eyes undergoing RK procedures performed in two clinical centers having different altitude were analyzed. The results compared between subjects who had undergone RK at sea level (Istanbul/Turkey) and at an altitude of 57...