Number theorists believe that primes play a central role in Number theory and that solving problems related to primes could lead to the resolution of many other unsolved conjectures, including the prime k-tuples conjecture. This paper aims to demonstrate the existence of this conjecture for admissible k-tuples in a positive proportion. The authors achieved this by refining the methods of “Goldston, Pintz and Yildirim” and “James Maynard” for studying bounded gaps between primes and prime k-tuples. These refinements enabled to overcome the previous limitations and restrictions and to show that for a positive proportion of admissible k-tuples, there is the existence of the prime k-tuples conjecture holding for each “k”. The significance of this result is that it is unconditional which means it is proved without assuming any form of strong conjecture like the Elliott–Halberstam conjecture
The main objective of this paper is to designed algorithms and implemented in the construction of the main program designated for the determination the tenser product of representation for the special linear group.
Hypothesis CO2 geological storage (CGS) involves different mechanisms which can store millions of tonnes of CO2 per year in depleted hydrocarbon reservoirs and deep saline aquifers. But their storage capacity is influenced by the presence of different carboxylic compounds in the reservoir. These molecules strongly affect the water wetness of the rock, which has a dramatic impact on storage capacities and containment security. However, precise understanding of how these carboxylic acids influence the rock’s CO2-wettability is lacking. Experiments We thus systematically analysed these relationships as a function of pressure, temperature, storage depth and organic acid concentrations. A particular focus was on identifying organic acid conce
... Show MoreThin films of pure polycarbonate (PC) with anthracene doping PC films for different doping ratios (10, 20, 30, 40, 50 and 60 ml) were prepared by using a casting method. The influence of anthracene doping ratio on photo-fries rearrangement of polycarbonate was systematic investigated. Furthermore, pure PC and anthracene doping PC films were irradiated via UV light at a wavelength (254 nm) for different periods (5, 240, 288, and 360 hrs). The photo-fries rearrangement occurring in pure PC and anthracene doping PC films were monitored using UV and FTIR spectroscopies. The photo-fries rearrangement leads to scission the carbonate linkage and formation phenylsalicylate and dihydroxybenzophenes. The result of the UV spectrum confirms disappea
... Show MoreSamples of the green algae were collected from water of Shatt al-Arab in Garmat Ali in Basra. After purification, the green algae identified on Enteromorpha sp. The samples were dried and milled, then sulfated polysaccharides were extracted with hot water at 90°C precipitated with absolute ethanol, dialysed and lyophilized. The chemical composition was total sugars 56.4%, protein 1.3% and sulfur 19.7%. Antioxidation activity of sulfated polysaccharides was studied by four method and included estimation of ability of scavenging hydroxylated radicals, the results showed an increased in ability with increasing concentrations. Ability of scavenging and was 59.86% at the concentration of 2.5 mg/ ml, but BHT was 81.36%. Ability of scavenging
... Show MoreThe current research aims to identify the effect of the study hand-on strategy on the achievement of the chemistry subject at the first grade students in the government day schools. The Umm al-Mu 'mineen school was chosen by appointment the intentional, so that its student is the research sample of the second Rusafa Directorate for the academic year (2021-2022). Then, two divisions were randomly selected for the first average out of 6 divisions to represent the experimental group that is studying according to the strategy of the thinker hand and the other the control group that is studying according to the usual method. The equivalence of the two research groups was verified by a set of variables represented by (chronological age, previous
... Show MoreThe current research aims to identify the effect of the hands_on strategy on the life effectiveness skills of the first grade students in the government's daytime middle schools. The Umm al-Mu 'minin school was intentionally chosen to be the research sample of the second Rusafa Directorate for the academic year 2021-2022. Then, two divisions were randomly chosen for the first of the six divisions to represent the experimental group that is studying according to the strategy of the hands_on and the other the control group that is studying according to the usual method. The equivalence of the two research groups was verified by a set of variables. The two groups were found to be equivalent. As for the research tool, the life effectiveness sca
... Show MoreThe experiment was conducted at the faculty of agriculture University of Ain Shams-Egypt, from January to March 2008, to study the effect of different levels of chromium yeast (cr-yeast) on broiler chickens on some physiological traits. A total of 450, one-day old unsexed chickens (Cobb) strain were used. The birds were randomly allocated to five treatments with 3 replicates each. The treatments were control (T1), without supplementation, T2, T3, T4 and T5 which were supplemented with 0.5, 1, 1.5 and 2 mg cr-yeast/kg diet respectively. Chromium yeast supplementation treatments caused a significant (p < 0.05) increase in plasma glucose levels, while supplemented Cr-yeast at levels of 1 (T3), 1.5 (T4), 2 (T5) mg/kg diet resulted in a signific
... Show Morethis research seeks to shed light on the study of the impact of Putinism on the Russian-Ukrainian war that broke out in early 2022, by studying the contents of the speeches of Russian President Vladimir Putin before the start of the war. This research uses the structural approach in analyzing the components of the Russian political regime. The research tools used in this research include case studies, content analysis of Russian speeches, and personal meetings of researchers and specialists in Russian affairs. It sums up a number of important conclusions, most notably are : 1) Putinism is a totalitarian regime that includes the political doctrine during the era of Russian President Vladimir Putin. 2) Duginism represents the totality of t
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