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طريقة السبلاين العامة لحل المعادلات الكسورية التكاملية التفاضلية الخطية == Generalized Spline Method for Solving Linear Fractional Integro - Differential Equations

Author name: دعاء احمد حسين
Supervisor name: نبا نجدي حسن
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

تقدير معولية الاجهاد - المتانة لمكونة تحت عدد ثابت من الاجهادات == Stress - Strength Reliability Estimation For Component Under A Fixed Number of Stresses

Author name: حوراء كودرز رمك
Supervisor name: ندى صباح كرم
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

منحنيات مكعبة في المستوي الاسقاطي حول حقل منتهي من الرتبة == Cubic Curves in The Projective Plane Over Finite Field of Order

Author name: حمزة لؤي مصطفى عجاج
Supervisor name: نجم عبد الزهرة مخرب السراجي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

مقاسات كاما الاسقاطـيـة مع بعض المفاهيم المرتبطة بها == Projective gamma modules and some related concepts

Author name: حسين عبد الحسين عباس العنبكي
Supervisor name: مهدي صادق عباس | هـيثم رزوقي حسن
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

الخوارزميات المضبوطة والتنقيبية لحل مسائل الامثلية التوافقية == Exact and Heuristic Algorithms for Solving Combinatorial Optimization Problems

Author name: حسام عبد علي محمد
Supervisor name: طارق صالح عبد الرزاق
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

حل مسائل جدولة متعددة المعايير على ماكنة واحدة وعلى مكائن انسيابية باستخدام خوارزميات التقيد والتفرع والبحث المحلي == Solving Single and Flowshop Scheduling Multicriteria Problems Using Branch and Bound and Local Search Algorithms

Author name: حافظ محمد مطير
Supervisor name: طارق صالح عبد الرزاق
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

حول توزيع كوماراسوامي == OnThe Kumaraswamy Distribution

Author name: جمانه عباس علوان الطويل
Supervisor name: مكي اكرم محمد صالح
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

بعض النتائج حول الفضاءات المتضامة الضبابية في الفضاءات التبولوجية الضبابية وعلى مجموعات ضبابية == Some Results of Fuzzy Paracompact Space in Fuzzy Topological Spaces on Fuzzy Sets

Author name: جمانة صبري محسن
Supervisor name: منير عبد الخالق الخفاجي
General topic: Mathematics
Specific topic: Topology
Degree: Master
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

الحلول الهرميتية لبعض انواع معادلات المؤثرات المقيدة == On Hermitian Solutions of some types of bounded operators Equations

Author name: ايمان صادق جعفر
Supervisor name: سالم داود محسن الخفاجي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

حول بعض حجم اقواس في فضاء اسقاطي على حقل المنتهي == On Some Size of Arcs in Projective Space Over Finite Field

Author name: ايلاف عبد الستار شهاب
Supervisor name: عماد بكر عبد الكريم الزنكنة
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

المشتقات العكسية العليا المتعامدة على الحلقات الشبه الاولية من النمط - ? == Orthogonal Higher Reverse Derivations on Semiprime ? - Rings

Author name: انتصار ماجد خزعل
Supervisor name: صلاح مهدي صالح
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

Percentile ML لتقدير معلمات توزيع لوك - لابلاس == ML and Percentile Estimators for Log - Laplace Distribution Parameters

Author name: امير حاتم كريم
Supervisor name: مكي اكرم محمد صالح
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

تحليل الانحدار المنطقي التقاربي لبعض اصناف انظمة التوزيع == Asymptotic Regional Gradient Analysis For Classes of Distributed Parameter Systems

Author name: اسماء نعمان عبد الجبار سلمان
Supervisor name: رحيم احمد منصور | نصيف جاسم الجواري
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

انموذج الانحدار الحصين الطرائق المعلمية واللامعلمية : دراسة مقارنة == Model of Robust Regression with Parametric and Nonparametric Methods / Comparison Study

Author name: اسماء عبد الحسين محمد
Supervisor name: نادية هاشم النور
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad

المعولية لنموذج كاسكاد (2+1) الخاص == The Reliability for Special (2+1) Cascade Model

Author name: احمد هارون خليل
Supervisor name: ندى صباح كرم
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

ثنائية المشتقات العليا على الحلقات الاولية من النمط == Higher Bi - Derivations on Prime ? - Rings

Author name: احمد مزهر مرير
Supervisor name: صلاح مهدي صالح
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

الشروط الضرورية والكافية لمسيطر حدودي امثلي لزوج من معادلات تفاضلية جزئية غير خطية مكافئة القطع == Necessary and Sufficient conditions for boundary optimal control of couple nonlinear parabolic partial differential equations

Author name: احمد عبد الحسن نايف
Supervisor name: جميل اميرعلي الهواسي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

بعض التبولوجيا على جبر - د == Some Topologies on d - algebra

Author name: حمد طالب حسين
Supervisor name: حبيب كريم عبد الله | حيدر جبر علي
General topic: Mathematics
Specific topic: Topology
Degree: Doctorate
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

التقدير البيزي لمعوليه جومبيرتز للاجهاد و المتانة == Bayesian Estimation Of The Stress - Strength Gombertz Reliability Function

Author name: ابتهال فتحي سبع ال مجباس
Supervisor name: ندى صباح كرم
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

تحسين خوارزميات الحل التام والبحث المحلي لحل بعض مسائل الامثلية التوافقية == Improving Exact and Local Search Algorithms for Solving Some Combinatorial Optimization Problems

Author name: فائز حسن علي
Supervisor name: طارق صالح عبد الرزاق
General topic: Mathematics
Specific topic: Numerical Optimization
Degree: Doctorate
University: Mustansiriyah University - College Of Education For Pure Sciences - Department Of Mathematics
Language: English
University location: Baghdad
First pages:
Abstract: In mathematics and computer science, an optimization problem (OP) is the problem of finding the best solution from all feasible solutions. OPs can be divided into two categories depending on whether the variables are continuous or discrete. An OP with discrete variables is known as a combinatorial optimization problem (COP). In a COP, we are looking for an object such as an integer, permutation or graph from a finite set.The aim of the research presented in this thesis is to investigate the use of various optimization exacts and heuristics to solve the COP's. This thesis presented in six chapters.In this thesis we interest in discussing three samples of COP; machine scheduling problem (MSP), transposition cipher problem (TCP) and aircraft landing problem (ALP).In the first two chapters, we discuss the main concepts of the COP, the three study cases, the basic techniques and methods for solving the COP respectively.In chapter three, we interesting in MSP, with multiple objective for the 1//(Ci,Ti) problem (P1) and 1//Ci+Ti problem (P3). We investigate the usefulness of precedence rules in solving (P1) and (P3). We found that the complete enumeration method (CEM) gives efficient (and optimal) solutions for (P1) (and (P3)) with number of jobs (n)10, and branch and bound (BAB) gives efficient solutions for (P1) with n15 and optimal solution for (P3) with n80. In addition, we use the local search methods (LSM), to solve the two problems, represented by genetic algorithm (GA) and particle swarm optimization (PSO) with n2000. In general we conclude that PSO serves better than GA. Lastly, a neural network (NN) is constructed to solve problems (P1) and (P3). Two learning algorithms are used to learn the NN; pack propagation (PB) and PSO with and without depending on successive rules (SR). We see that PSO is better than BP in learning NN to obtaining good results.In chapter four, we suggest a new direction in cryptanalysis of TCP, we suggest using the techniques of COP to solve TCP in another word, the TCP treated as one of COP. First a new mathematical formulation for TCP is introduced and proposed some new tools of TCP cryptanalysis. The CEM and modified BAB are developed by using SR to obtain the multi digits CEM (MDCEM) and MDBAB which are helpful in decreasing the CPU time. Classical bees' algorithm (CBA) and shifted key BA (SKBA) are improving the cryptanalysis results. To increase the performance of the mentioned algorithms we construct cryptanalysis system for TCP to find exact solution (as possible) for n20 in reasonable time, which is called SR keys BA (SRKBA). The main result of this thesis is suggesting a general solving system for COP specially, when the problem submits to SR.Chapter five focused in one of the important problems of COP; ALP. A new improvement in a heuristic method, called parallel improving algorithm (PIA), is introduced, the new algorithm called modified PIA (MPIA) which is serves better than PIA. The CEM is used to solve ALP using two techniques; exhaustive search method (ESM) which gives optimal solution but in unreasonable time for n>9 while MPIA gives approximation solutions for n9 in 6 seconds. Lastly, hybridization is proposed between MPIA and CBA, which is called improvement CBA (ICBA). ICBA gives optimal solutions in solving ALP for n<50 and near optimal for n=50.In chapter six, some conclusions together with some suggestions for future researches have been given.The exact and heuristics methods all were tested by programming them using version 10.0 of Delphi Language and MATLAB, and running on Processor Intel(R) Core (TM) i3 CPU, 2.53 GHz, Core(s), with Ram 1.21 GB computer.

مسالة السيطرة الامثلية التقليدية المستمرة لمعادلات تفاضلية جزئية == The Continuous Classical Optimal Control Problem of Partial Differential Equations

Author name: غفران مناتي كاظم
Supervisor name: جميل اميرعلي الهواسي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - College Of Education For Pure Sciences - Department Of Mathematics
Language: English
University location: Baghdad
First pages:
Abstract: الهدف الرئيسي لهذه الرسالة هو دراسة مسالة السيطرة الامثلية التقليدية المستمرة لزوج من المعادلات التفاضلية الجزئية الخطية واللاخطية من النوع المكافئ )stateفي برهان مبرهنة وجود ووحدانية الحل للحالة ( Galerkin حيث استخدمنا طريقة لزوج من المعادلات المذكورة اعلاه ولكن من النوع اللا خطي عندما يكون متجه السيطرة التقليدية المستمرة ثابت . قمنا ايضا ببرهان مبرهنات خاصة بوجود سيطرة (متجه السيطرة) التقليدية المستمرة لزوج من المعادلات التفاضلية الجزئية الخطية واللاخطية من النوع المكافئ. برهنا ايضا مبرهنة وجود ووحدانية الحل لزوج المعادلات التفاضلية الجزئية الخطية واللاخطية للحالة. طورت بشكل يتناسب مع المسالة Kuhn - Tucker - Lagrange’s Multipliers مبرهنات السيطرة التقليدية المستمرة المقترحة في هذه الرسالة وصيغت وبرهنت مبرهنتا الشرط الضروري لوجود السيطرة الامثلية | The main aim of this thesis is to study the continuous classical optimal control problem of a couple of linear and nonlinear parabolic partial differential equations. With a suitable assumptions, the existence and the uniqueness of solution of the state vector of couple of linear parabolic PDEs for a given continuous classical control vector are proved by using Galerkin method. The existence theorems of a continuous classical optimal control vector associated with a couple of nonlinear parabolic equations are developed and proved. The existence and the uniqueness theorem of a solution of the couple of adjoint equations associated with the considered state equations of nonlinear parabolic equations with equality and inequality constraints is also proved once again. The Kuhn - Tucker - Lagrange multipliers theorems are developed and used to prove the necessary conditions theorem and the sufficient conditions theorem of optimality of a couple of nonlinear parabolic equations with equality and inequality constraints

الحل العددي لبعض المعادلات التفاضليه باستخدام تحويل لاكير == Numerical Solution for some Differential Equations via Laguerre Transform Approach

Author name: غصون سعيد عبد محمد
Supervisor name: ايمان علي حسين
General topic: Mathematics
Specific topic: Numerical Analysis
Degree: Master
University: Mustansiriyah University - College Of Education For Pure Sciences - Department Of Mathematics
Language: English
University location: Baghdad
First pages:
Abstract: The main aim of this work is to introduce new formulae that can be used to deal with LT and to utilize them for solving different types of DEs.A new simple general formula is derived to evaluate the LT of the higher derivatives of a variable. The new formula is easily modeled by a computer program, and there is no need for tedious operations of successive integration by part, as in the conventional method.This work proposes a method utilizing LT to solve ODE's (linear and nonlinear, homogeneous or inhomogeneous, boundary or initial value problems), which is explained and implemented in different examples. The results are in a good agreement with the analytical solution.Two other new methods are proposed, utilizing LT to solve PDE's with one spatial dimension. The two methods are explained and implemented in different examples, and the results show a good agreement with the analytical solutions.Another new method, utilizing LT, is proposed to solve PDE's with two spatial dimensions. The method is implemented to solve heat equation with two spatial dimensions and the results show a good agreement with that of finite difference solution. The method is also modified to achieve image smoothing as a global smoothing technique. The new image smoothing technique is compared with a finite difference technique for image smoothing, which is a local smoothing technique. The results of the proposed new technique show better smoothing (less fogy) with an expenditure of a long execution time.Finally, it is worth to mention that all the programs used in this work have been coded by the MATLAB 7 system environment

بعض طرائق التقدير لمعلمة القياس لتوزيع لابلاس : دراسة مقارنة == Some Baye,s Estimators for the Scale Parameter of the Laplace Distribution / A Comparison Study

Author name: عماد فرهود محي الشريفي
Supervisor name: هدى عبد الله رشيد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:
Abstract: The Laplace distribution is important to the development of mathematics ,statistics, physics, and astronomy, and usually used as its characteristics apply to a large ratio of natural, social and economic phenomenon. Hence, the importance of this thesis is to Find the best estimator for the scale parameter θ, when location parameter (a) is known and unknown through obtaining and comparing the classical estimators (Maximum Likelihood Estimator, Uniformly Minimum variance unbiased Estimator, and Minimum Mean Squared Error), as well as Bayesian estimators under different loss functions (Quadratic loss function, squared - Log error loss function, Generalized squared error loss function, Entropy loss function, Suggested loss function).In order to get a better understanding of our Bayesian analysis, we consider the non - informative prior for the scale parameter () using Jeffreys prior information, as well as informative prior density represented by Gumbel Type II Prior.All these estimators are compared empirically using Mont - Carlo simulation by employing the mean squared errors (MSE's).Also we derived the Minimax estimators of the scale parameter θ for the Laplace distribution for all loss functions referred to above and reach to the estimators under Quadratic loss function, Squared - log error loss function, special case of Suggested loss function and Entropy loss function are Minimax estimators.Among conclusions that have been reached, the Suggested loss function with Gumble prior has recorded the best performance of the used for other loss functions. On the other hand, Gumble prior under different loss functions with Gumble Type II prior is better comparing to the corresponding Jeffrey's prior (under the same loss function) for all cases.

الجدوله لمقاييس متعددة الاداء == Scheduling with Multiple Performance Measures

Author name: علي عباس نعمان المالكي
Supervisor name: طارق صالح عبد الرزاق
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - College Of Education For Pure Sciences - Department Of Mathematics
Language: English
University location: Baghdad
First pages:
Abstract: في هذه الرسالة تصغير دالة لمعياريين او ثلاثة والحاصلة من جدولة n من الاعمال على ماكنة واحدة . تم التركيزفي هذه الدراسة والاخذ بنظر الاعتبار على حالة التاخير اللاسالب والعمل المتاخر ووقت الاتمام الكلي . ونوقشت المسائل التالية : 1 . تصغير الدالة (Tmax+Vmax) . 2 .تصغيرالدالة ذات ثلاث معايير والتي تاخذ الصيغة Lex(Tmax+Vmax ,Σ■(n@i)Ci) وLex(Σ■(n@i)Ci , Tmax+Vmax ) . . (■(n@i)Ti + ■(n@i)Vi) تصغير الدالة .3 للمسالة الاولى اقترحنا خوارزمية التفرع والتقييد لايجاد الحل الامثل كذلك برهنا بعض الحالات الخاصة التي تؤدي الى الحل الامثل .كذلك اقترحنا خوارزمية (A) المطورة من خوارزمية لولر لحل المسالة وهذا قادنا الى ملاحظة مشجعه وهي ان اغلب النتائج الحسابية تؤدي الى الحل الامثل. كما واجرينا تجارب حسابية لطريقة التفرع والتقييد على مجموعة كبيرة لمسائل اختبارية. .للمسالة الثانية والتي هي تعميم للمسالة الاولى قمنا باستخدمنا قاعدة (SPT) وكذلك الخوارزمية (A) المطورة لايجاد افضل الحلول . للمسالة الثالثة اقترحنا خوارزمية التفرع والتقييد مع قيدين سفلي وقيد علوي الذي هو اصغر ثلاث قيود تقريبيه مقترحة لايجاد الحل كذلك برهنا بعض الحالات الخاصة واستخدمنا قواعد الهيمنة مع خوارزمية التفرع والتقييد لتحسين النتائج الحسابية لهذه المسالة. | This thesis intends, to minimize a function of two and three cost criteria for scheduling n jobs on a single machine. The study focuses on the case where Tardiness, late work and total Completion times are considered. The following problems are discussed 1. Minimizing a function of two criteria (Tmax+Vmax). 2.Minimizing a function of three criteria of the forms Lex(Tmax+Vmax,Σ■(n@i=1)Ci) and Lex(Σ■(n@i=1)Ci , Tmax+Vmax ). 3. Minimizing a function of two criteria (■(n@i=1)Ti + ■(n@i=1)Vi). For the first problem 1// Tmax+Vmax , a branch and bound algorithm are proposed to find optimal solution . Also, we proved some special cases for this problem which lead to optimal solution. An improved algorithm (A) for Lawler algorithm has been constructed for solving this problem, which leads to an interesting observation that the algorithm (A) will yield optimal solutions in all instances of the test problems. Also computational experience for the (BAB) algorithm is presented. For the second problem which is a generalization of the first problem we use either the SPT rule or modified algorithm (A) to find the best solutions. For the third problem we proposed a (BAB) algorithm with two lower bounds and upper bound which is the minimum of three heuristic methods .We proved some special cases which lead to the optimal solution . We used dominance rules with BAB algorithm to enhance the computational results for this problem

درجة افضل تقريب للدوال غير المقيدة في الفضاءات المحلية العامة الموزونة == The Degree of Best Approximation of Unbounded Functions in Locally - Global Weighted Spaces

Author name: علي حسين زبون
Supervisor name: صاحب كحيط جاسم الساعدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:
Abstract: The aim of this thesis is to obtain the degree of best approximation of unbounded functions in locally - global weighted - space L_(P,δ,w) (X),1≤P<∞ using many kinds of polynomials such as I - Bernstein polynomials in terms of weighted Ditzain - Totik modulus of smoothness.II - Trigonometric polynomials S_n^* (f,x) and in addition to that we defined a new operator, which depends on Dirchlet Kernel G_(2n - 3n) - operator in terms of weighted Ditzain - Totik modulus of smoothness.III - q - Bernstein - Kantorovich B ̃_(n,q)^* (f,x) operator by using the locally second usual weighted modulus of smoothness.IV - The linear positive operators L_n^*⁡〖(f,x)〗 and K_n^*⁡〖(f,x)〗 for f∈L_(P,δ,w) (X),X=[0,∞) which is used to obtain the degree of the best approximation of this function in weighted space in terms of weighted modulus of function f.V - Szasz - Mirakjan - Beta U_n^* (f,x) and R ̃_n^* (f,x) operators in terms of weighted locally averaged modulus of smoothness.VI - Also supported by some important results to improve the approximation of unbounded functions classes.
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