The main theme of this thesis could be divided into three objectives : The first is to define and classify integral equations with one and multiple delay, including Fredholm, Volterra and integro-differential equations (Retarded, Neutral and Mixed types). While the second and popular objective of this work is to study the inverse problems related to delay integral equations by using non-classical variational formulation method. Some examples are given for each of the discussed type of delay integral equations. Also, a study to the direct and inverse problems related to integral equations with multiple delay, also considered as a third objective. Several examples are given for each type of these equations. Finally, the suggested approach of the inverse problems of delay integral equations is applied on the population growth model
Abstract This dissertation examined the policy of American settlers toward Native peoples in the United States as one of the most complex issues in modern American history, as it was closely connected to the emergence of the new state and to the political, military, and economic transformations that followed the War of Independence, this policy developed within an expansionist context characterized by the pursuit of control over land and resources and the reorganization of geographical space in ways that served settler interests, in contrast to the marginalization of Indigenous presence and the erosion of their political and social systems, historical evidence demonstrated that relations between the two sides did not rest on fixed foundatio
... Show MoreAims to find out the (Extent of mathematics teachers' appreciation of the mathematical problem `multiple solutions) Research sample consisted of (100) mathematics teachers distributed on the General Directorates of Education in Baghdad (Rusafa 1/2/3) and (Karkh 1/2/ 3) There was two research approach which are: The first - two different answers of students to the same issue where teachers must assess each answer and explain which one the teacher will accept and why? The second - Different solutions of students' to the same issue, including wrong answers , Teachers should correct the answers and give them final grades (0-10). Descriptive and analytical Approch was used in this research methodology And zero hypotheses, which are as f
... Show MoreIn this paper the oscillation criterion was investigated for all solutions of the third-order half linear neutral differential equations. Some necessary and sufficient conditions are established for every solution of (a(t)[(x(t)±p(t)x(?(t) ) )^'' ]^? )^'+q(t) x^? (?(t) )=0, t?t_0, to be oscillatory. Examples are given to illustrate our main results.
The aim of this study is to propose reliable equations to estimate the in-situ concrete compressive strength from the non-destructive test. Three equations were proposed: the first equation considers the number of rebound hummer only, the second equation consider the ultrasonic pulse velocity only, and the third equation combines the number of rebound hummer and the ultrasonic pulse velocity. The proposed equations were derived from non-linear regression analysis and they were calibrated with the test results of 372 concrete specimens compiled from the literature. The performance of the proposed equations was tested by comparing their strength estimations with those of related existing equations from literature. Comparis
... Show MoreGiven a matrix, the Consecutive Ones Submatrix (C1S) problem which aims to find the permutation of columns that maximizes the number of columns having together only one block of consecutive ones in each row is considered here. A heuristic approach will be suggested to solve the problem. Also, the Consecutive Blocks Minimization (CBM) problem which is related to the consecutive ones submatrix will be considered. The new procedure is proposed to improve the column insertion approach. Then real world and random matrices from the set covering problem will be evaluated and computational results will be highlighted.
Background The Transportation Problem (TP) is a detailed model in operations study with applications in logistics, supply chain management, and resource allocation. The classical IBFS methods including North-West Corner, Least Cost and Vogel’s Approximation have competitive computational efficiency, but they are very sensitive to the structure of the problem and usually lead to a solution that is far from the global optimum. Classic enhancement strategies like the Generalized Distribution (MODI) and Stepping-Stone (SS) approaches have low computational complexity but may fall into a local optimum quickly, which makes them ineffective in large-scale or unbalanced problems. Methods We propose the first generic hybrid algorithm, calle
... Show Moreتتمحور هذه الدراسة حول اثر عنصرين مهمين من عناصر المناخ في زراعة وإنتاج محصولي القمح والشعير في محافظتين من محافظات العراق هما ديالى وميسان بهدف الكشف عن الامكانات المناخية لزراعتهما وانتاجهما في تلك المحافظتين. يعد محصولي القمح والشعير من أهم المحاصيل الحقلية المزروعة في المحافظتين، اذ تمتلكان إمكانيات واسعة للتوسع بزراعتهما وإنتاجهما؛ وهناك فرصة كبيرة لزيادة غلة الدونم الواحد عن طريق حل المشاكل و
... Show MoreThese years Qatar has emerged as an important regional destination of foreign direct investment (FDI), which demonstrates the recent success of several smaller economies in attracting FDI. This paper aims to investigate the causal relationships between inward FDI and economic growth in the particular case of Qatar featured as oil production country. Vector Autoregressive (VAR) Impulse Responses and Granger Causality Tests were adopted as major research methods. Annual data set was used covering from 1990 to 2010. The main results demonstrated the bi-directional causality and long-run relationships between FDI inflows and economic growth in Qatar. And to attract FDI inflows into Qatar, the government shall continue its efforts in const
... Show MoreNutrient enrichment of Sawa lake water was made using different nitrogen and phosphorus concentrations during autumn and spring at three stations. Different concentrations of nitrogen, phosphorus and N: P ratios were used to test variations in phytoplankton population dynamics. Nitrogen at a concentration of 25 µmole.l-1 and N: P ratio of 10:1 gave highest phytoplankton cell number at all stations and seasons. A total of 64 algal taxa dominated by Bacillariophyceae followed by Cyanophyceae and Chlorophyceae were identified. The values of Shannon index of diversity were more than one in the studied stations.