In this paper the optimal control of boundary heat flux in a 2-D solid body with an arbitrary shape is performed in order to achieve the desired temperature distribution at a given time interval. The boundary of the body is subdivided into a number of components. On each component a time-dependent heat flux is applied which is independent of the others. Since the thermophysical properties are t...

Intervention in Obesity & Diabetes Does Neuromuscular Electrical Stimulation Lower Limbs can be used to Treat of Patients with Type-2-Diabetes? Ewa Kucio*, Cezary Kucio and Anna Polak Institute Physiotherapy Health Sciences, The Jerzy Kukuczka Academy Physical Education, Poland *Corresponding author:Ewa Kucio, 40-065 Katowice, Submission:April 07, 2021;Published: April 19, 2021 DOI: 10.31031/IO...

Using the Maximum Entropy principle, we find probability distribution of torsion angles in proteins. We estimate parameters of this distribution numerically, by implementing the conjugate gradient method in Polak-Ribiere variant [6]. We investigate practical approximations of the theoretical distribution. We discuss the information content of these approximations and compare them with standard ...

The article discusses Kazimierz Lux’s travel entitled description of the island San-Domingo, which was published „Biblioteka Warszawska” in 1854 (v. 4, p. 197–223). It is a paraliterary notation stay „Polish pirate” Antilles, where, as soldier French 114 th brigade formed by Napoleon, he suppressed slave uprising. text fairly detailed study San-Domingo’s climatic, geographical and living condit...

Global convergence results are derived for well-known conjugate gradient methods in which the line search step is replaced by a step whose length is determined by a formula. The results include the following cases: 1. The Fletcher-Reeves method, the Hestenes-Stiefel method, and the Dai-Yuan method applied to a strongly convex LC objective function; 2. The Polak-Ribière method and the Conjugate ...