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
الخلاصة
عندما بدأت الخلية تبوح ببعض أسرارها نتيجة الدراسات العديدة لعلماء الخلية، لمحت الأفكار في أذهان البعض منهم للتدخل والتعديل في مكوناتها. كعادة كل عمل يبدأ بفكرة ثم يليه بمرحلة تنفيذ حتى تتوالى ظهور النتائج الملموسة وهكذا بدأت عملية الاستنساخ أو التوالد العذري في
مطارحات نقدية حول الطبيعة المطلقة لنظرية الردع
The study of the subject shows us the couflict between Somalian- Ethiopian. About Al-Oaghaden (1960-1978). This province is purely Somalian area in their language ،manners ،
traditions ،and their most population from Migrant bedouin.
In the last nineteenth century ،Ethiopia had entered to exit from plateau ،and become nearly from Red Sea and Indian Ocean.
The study shows us ،the conflict between colonization countries ،about African horn ،then fore Ethiopia entered as partner to divide the zone area ، and that division hadn’t Cares about the unity of people ،or the similar of language or religoun ،for this reason which had interference happened between broders and division about the same tribe from more Century ،
This research deals with a shrinking method concerned with the principal components similar to that one which used in the multiple regression “Least Absolute Shrinkage and Selection: LASS”. The goal here is to make an uncorrelated linear combinations from only a subset of explanatory variables that may have a multicollinearity problem instead taking the whole number say, (K) of them. This shrinkage will force some coefficients to equal zero, after making some restriction on them by some "tuning parameter" say, (t) which balances the bias and variance amount from side, and doesn't exceed the acceptable percent explained variance of these components. This had been shown by MSE criterion in the regression case and the percent explained
... Show MoreTwo homopolymeric and three copolymeric additives for base oil were synthesized using octyl acrylate (OA) and tert-butyl acrylamide (TBA) monomers. The two additives named P1 and P2 are the homopolymers of TBA and OA, respectively, whereas copolymeric additives named Co1, Co2, and Co3 were synthesized by varying the ratios of TBA:OA as 1:3, 3:1 and 1:1, respectively. The prepared polymers were characterized by Fourier Transform Infrared (FTIR). Based on the solubility of synthesized polymers in base oil and reactivity ratios of TBA/OA copolymer (0.222, 0.434) calculated by Fineman-Ross method, P2, Co1, Co2 and Co3 were selected to evaluate their performance as pour point depressant (PPD), viscosity improver (VII), and anticorrosion addit
... Show MoreThe tax base is one of the bases of the technical organizing of taxes, and that a good selection of the tax base effects the outcome of the tax and its fairness, and with the expansion of the tax range results a dangerous phenomenon called tax evasion, which became threaten the economies of countries and this phenomenon prevents the achievement of the state to its economic, political and social objectives which seeks to resolve this phenomenon and identifying all human and material potential and realize the real reasons that lie behind it. The researcher found that tax authorities are weak in terms of it the technical material and financial abilities, the analysis of data show that then is a significant reve
... Show MoreObjectives: To determine the level of knowledge regarding drugs addiction among paramedical staff; and to
identify the association between the level of knowledge and their socio-demographic variable.
Methodology: A cross-sectional study was Conducted in Baghdad on Staff for the period from 1st June,
2016 to30th September, 2016 . The sample included 510 Health professionals . There are 9 sectors in center
of Baghdad , 5 of them in Al- Kurkh side of the city and 4 in Al-Russafa side. The sample was selected from
49 primary health care centers and 8 public hospitals through a multi-stage sample using a simple random
sampling technique. The information was collected through the design of a questionnaire whose stability and<
Objectives: To determine the effectiveness of the educational program on nursing staff knowledge about infection control measures at the Intensive Care Unit in Al-Diwaniya Teaching Hospital.
Methodology: A pre-experimental design (one group design: pre-test and post-test) was used. This study was conducted in Al-Diwaniya Teaching Hospital for the period from ( 20th February to 5th March, 2020) on a non-probability (purposive) sample consisting of (25 nurses) working in ICU. A questionnaire was built as a data collection tool and consisted of two parts:
First part: The demographic characteristics of the nursing staff (age, gender, level of education, years of experien
... Show MoreAbstraet
Students dropout from the Education has a negative phenomena on individual and society and even on different aspects of life especially on the economic aspect , Thus our research tries studying and analyzing the relation between the size of dropout and human development level in Iraq and as (research sample) the first decade of this century as a studying period, the study includes the dropout in Secondary schools and depending the formal records as a main source to evaluate the size of this problem in Iraq , which shows an increase in the size of dropout in this period in comparison with the last decades of the twentieth century, this produces a negative effect on human developme
... Show MoreThe logistic regression model is an important statistical model showing the relationship between the binary variable and the explanatory variables. The large number of explanations that are usually used to illustrate the response led to the emergence of the problem of linear multiplicity between the explanatory variables that make estimating the parameters of the model not accurate.
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