Broyden update is one of the one-rank updates which solves the unconstrained optimization problem but this update does not guarantee the positive definite and the symmetric property of Hessian matrix.

In this paper the guarantee of positive definite and symmetric property for the Hessian matrix will be established by updating the vector  which represents the difference between the next gradient and the current gradient of the objective function assumed to be twice continuous and differentiable .Numerical results are reported to compare the proposed method with the Broyden method under standard problems.

The main objective of this study is to determine the suitable excitation wavelengths for
urine components reaching to select the suitable lasers to execute the auto fluorescence due to their
high intensities. The auto fluorescence was measured at 305, 325 and 350 nm excitation wavelengths
for eleven urine samples which were also analyzed by conventional methods (chemical and
microscopic examination). Data manipulation using Matlab package programming language showed
that urine sample with normal chemical and biological components have emission peaks which are
different from the infected urine samples. Despite the complexity of the composition of urine,
fluorescence maxima can be observed. Most likely, the peaks obser

للنصوص المسمارية بشكل عام والاقتصادية بشكل خاص ومنها عقود الايجار موضوع البحث أهمية كبيرة في معرفة الكثير عن الحياة اليومية وكيفية التعامل الاقتصادي بين افراد المجتمع في العصور القديمة بالاضافة الى ما تبينه فقرات تلك العقود من الانظمة الاقتصادية التي سادت انذاك . وقد بينت لنا عقود الايجار مــدى الالتزام في تطبيق القانون في الحياة اليومية ، اذ كان لهذه العقود فقرات وشروط قائمة على التراضي والمنفعة المتباد

The main objective of this study is to determine the suitable excitation wavelengths for
urine components reaching to select the suitable lasers to execute the auto fluorescence due to their
high intensities. The auto fluorescence was measured at 305, 325 and 350 nm excitation wavelengths
for eleven urine samples which were also analyzed by conventional methods (chemical and
microscopic examination). Data manipulation using Matlab package programming language showed
that urine sample with normal chemical and biological components have emission peaks which are
different from the infected urine samples. Despite the complexity of the composition of urine,
fluorescence maxima can be observed. Most likely, the peaks obser

This research examines the scientific impact of Al-Hafiz Sharaf al-Din al-Damiati, who descended from a famous scholarly family known as (Al-Damiati) in reference to the city of Damietta in Egypt. This family was distinguished by producing scholars and writers during the Ayyubid and Mamluk eras, the most prominent of whom was Sharaf al-Din. He was preceded by a scholar of no lesser scientific stature, Shams al-Din al-Damiati (d. 693 AH), who was famous for his knowledge of the science of readings. Sharaf al-Din al-Damiati was famous for his mastery of the science of hadith and genealogy. The political situation that prevailed during his era was represented by the occupation of the city of Baghdad in 656 AH/1258 AD, the end of the Abbasid Ca

Research summary

The scholars of Iraq have rich contributions to enrich this science and other Islamic sciences. Many of them presented the juices of their ideas to build and defend Islamic civilization, and among them are those who took care and carried this scientific trust upon themselves and conveyed it (Sheikh Muhammad Taha Al-Balisani (may God have mercy on him), who was a prominent scholar in His era, where he presented antiquities, opinions, and ideas worthy of attention and study.

He was the author of many books, some of them printed, and some of which are manuscripts, waiting for someone to bring them out to the light of life, verify them and present them to Islamic libraries, because our libraries are i

Background: Intralesional injections of vitamin D and bleomycin have gained growing clinical interest in the treatment of recalcitrant plantar warts, with pain as a major limitation associated with their use. Objective: To assess the clinical outcomes of vitamin D and bleomycin in managing treatment-resistant plantar warts. Methods: An interventional comparative study conducted on patients diagnosed with recalcitrant plantar warts over 9 months and not treated for two months. Patients were divided randomly into two groups: group A (24 patients received intralesional vitamin D) and group B (24 patients received intralesional bleomycin). The clearance rate and pain score were estimated by visual analogue scale (VAS). Results: 48 patie

Within this paper, we developed a new series of organic chromophores based on triphenyleamine (TPA) (AL1, AL-2, AL-11 and AL-22) by engineering the structure of the electron donor (D) unit via replacing a phenyle ring or inserting thiophene as a π-linkage. For the sake of scrutinizing the impact of the TPA donating ability and the spacer upon the photovoltaic, absorptional, energetic, and geometrical characteristic of these sensitizers, density functional theory (DFT) and time-dependent DFT (TD-DFT) have been utilized. According to structural characteristics, incorporating the acceptor, π-bridge and TPA does not result in a perfect coplanar conformation in AL-22. We computed EHOMO, ELUMO and bandgap (Eg) energies by performing frequency a

Placental calcification is an aging process that is increasingly linked to adverse pregnancy outcomes when it occurs prematurely. Vitamin D has immunomodulatory properties and may play a role in placental calcification. This study explored the association between maternal vitamin D, inflammatory cytokines, and placental calcification. A total of 46 pregnant women aged 16–40 years were included in this study. They were divided into four groups: Group 1 (control group; n = 10, without placental calcification), Group 2 (n = 12, Grade 1 placental calcification), Group 3 (n = 12, Grade 2 placental calcification), and Group 4 (n = 12, Grade 3 placental calcification). Serum vitamin D (25(OH)D) and cytokine (TNF-α,

The voice had a special place in the writting of the Andalusian poet (Ibn al-Abar ) , which aroused my attention because of the sonic capacity of the lettering inside the poetic at Ibn al-Abar poems . So Istudied the qualities of the lettering , structures and their exits . Scientists have not been able to determine the musical from the nonmusical sound , but we find the innate ability of Ibn al-Abar , which was able to determine this by using the lettering the right places and to revival the life to reflect the moments of his life , therefore came votes to express his purposes of praise and pride Etc. The poet Ibn al-Abar could exploit the lettering features in the effect of bilateral – static and moving and its ability to e