In this paper, a new class of nonconvex sets and functions called strongly -convex sets and strongly -convex functions are introduced. This class is considered as a natural extension of strongly -convex sets and functions introduced in the literature. Some basic and differentiability properties related to strongly -convex functions are discussed. As an application to optimization problems, some optimality properties of constrained optimization problems are proved. In these optimization problems, either the objective function or the inequality constraints functions are strongly -convex.
Nanoparticles are defined as an organic or non-organic structure of matter in at least one of its dimensions less than 100 nm. Nanoparticles proved their effectiveness in different fields because of their unique physicochemical properties. Using nanoparticles in the power field contributes to cleaning and decreasing environmental pollution, which means it is an environmentally friendly material. It could be used in many different parts of batteries, including an anode, cathode, and electrolyte. This study reviews different types of nanoparticles used in Lithium-ion batteries by collecting the advanced techniques for applying nanotechnology in batteries. In addition, this review presents an idea about the advantages and d
... Show MoreOver the past ten years, tumor markers have played an increasingly important role in clinicaloncology. This trend is expected to continue as technology advances and our knowledge of thehuman body and disease processes grows. In the treatment of cancer, tumor markers are widelyused for a variety of purposes, including screening, selecting a management strategy,determining the prognosis, and post-therapy follow-up. A comprehensive of the fundamentalsof pathophysiology and identification strategies for each specific malignancy is necessary fortheir prudent application in clinical practice. Oncology's use of cancer biomarkers hastransformed the way that cancer is treated, and led to notable improvements in patient outcomesand cancer tre
... Show MoreVoting is one of the most fundamental components of a democratic society. In 2021 Iraq held the Council of Representatives (CoR) elections in 83 electoral constituencies in 19 governorates. Nonetheless, several significant issues arose during this election, including the problem of logistics distribution, the excessively long period of ballot counting, voters can't know if their votes were counted or if their ballots were tampered with, and the inconsistent regulation of vote counting. Blockchain technology, which was just invented, may offer a solution to these problems. This paper introduces an electronic voting system for the Iraq Council of Representatives elections that is based on a prototype of the permission hyperledger fabr
... Show MoreJosé Echegaray, dramaturgo español, obtuvo premio Nóbel de literatura en (1904), político, orador, economista y dramaturgo. Con su obra "El gran Galeoto" en 1881, llegó a la cumbre de la popularidad.
Henrik Ibsen, dramaturgo noruega, creador del drama moderno, por sus obras realistas que abordan problemas psicológicos y sociales. Y a que fue el iniciador del teatro de tesis del teatro social. Ibsen, dramaturgo noruega, cuya obra influyó notablemente en el teatro europeo de finales del s. XIX y principios del XIX ; en gran parte en la obra de Echegaray, Galdós (1) y Benavente (2).
Los presentes autores empezaron sus producciones bajo el romanticismo que fue poco a poco añadiendo ideas del naturalismo y el realismo dramátic
José Echegaray, dramaturgo español, obtuvo premio Nóbel de literatura en (1904), político, orador, economista y dramaturgo. Con su obra "El gran Galeoto" en 1881, llegó a la cumbre de la popularidad.
Henrik Ibsen, dramaturgo noruega, creador del drama moderno, por sus obras realistas que abordan problemas psicológicos y sociales. Y a que fue el iniciador del teatro de tesis del teatro social. Ibsen, dramaturgo noruega, cuya obra influyó notablemente en el teatro europeo de finales del s. XIX y principios del XIX ; en gran parte en la obra de Echegaray, Galdós (1) y Benavente (2).
Los presentes autores empezaron sus producciones bajo el romanticismo que fue poco a poco añadiendo ide
... Show MoreThe Caputo definition of fractional derivatives introduces solution to the difficulties appears in the numerical treatment of differential equations due its consistency in differentiating constant functions. In the same time the memory and hereditary behaviors of the time fractional order derivatives (TFODE) still common in all definitions of fractional derivatives. The use of properties of companion matrices appears in reformulating multilevel schemes as generalized two level schemes is employed with the Gerschgorin disc theorems to prove stability condition. Caputo fractional derivatives with finite difference representations is considered. Moreover the effect of using the inverse operator which tr
Language Teaching & Leaning Problems at the Iraqi university level: Image & Reality