A cutting stock problem is one of the main and classical problems in operations research that is modeled as Lp < /div> problem. Because of its NP-hard nature, finding an optimal solution in reasonable time is extremely difficult and at least non-economical. In this paper, two meta-heuristic algorithms, namely simulated annealing (SA) and tabu search (TS), are proposed and deve...

New models for education dissemination have emerged with the growth of distributed systems, especially with the widespread penetration of Internet. This has made possible imparting education on a larger scale. Distance evaluation of students constitutes a crucial factor for success of Distance Education initiatives. Such large distributed systems also raise number of challenges in terms of desi...

Amongst possible choices for identifying complicated processes for prediction, simulation, and approximation applications, high-order Takagi-Sugeno (TS) fuzzy models are fitting tools. Although they can construct models with rather high complexity, they are not as interpretable as first-order TS fuzzy models. In this paper, we first propose to use Deformed Linear Models (DLMs) in consequence pa...

A copper-catalyzed regio- and intermolecular aminofluorination of styrenes has been developed. In this reaction Ph-I=N-Ts and Et3N·3HF act as nitrogen and fluorine sources, respectively. The obtained β-fluoro-N-Ts-phenethylamines can be N-alkylated with subsequent deprotection affording the corresponding β-fluoro-N-alkylated phenethylamines, which are interesting building blocks for compounds a...

Suppose $T$ and $S$ are Moore-Penrose invertible operators betweenHilbert C*-module. Some necessary and sufficient conditions are given for thereverse order law $(TS)^{ dag} =S^{ dag} T^{ dag}$ to hold.In particular, we show that the equality holds if and only if $Ran(T^{*}TS) subseteq Ran(S)$ and $Ran(SS^{*}T^{*}) subseteq Ran(T^{*}),$ which was studied first by Greville [{it SIAM Rev. 8 (1966...

suppose $t$ and $s$ are moore-penrose invertible operators betweenhilbert c*-module. some necessary and sufficient conditions are given for thereverse order law $(ts)^{ dag} =s^{ dag} t^{ dag}$ to hold.in particular, we show that the equality holds if and only if $ran(t^{*}ts) subseteq ran(s)$ and $ran(ss^{*}t^{*}) subseteq ran(t^{*}),$ which was studied first by greville [{it siam rev. 8 (1966...

purpose: to report multiple astrocytic hamartomas in a patient with tuberous sclerosis (ts). patient and findings: a 16-year-old girl with ts without any ocular complaint was referred for ophthalmologic examination. she had papular rash on her face and other skin lesions elsewhere in the body which were specific for ts. multiple well-circumscribed elevated lesions characteristic of astrocytic h...

background: several echocardiographic markers have been introduced to assess the left ventricular (lv) mechanical dyssynchrony. we studied dyssynchrony markers and the latest lv activation site in heart failure patients with and without left bundle branch block (lbbb). methods: conventional echocardiography and tissue velocity imaging were performed for 78 patients (lv ejection fraction ≤ 35%),...