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Difficulties and Errors of 1st Grade Computer Teaching and Technology Department Students on Discontinuity Types of Partial Functions and Some Certain Functions
Issue:
Volume 4, Issue 3, June 2015
Pages:
66-69
Received:
2 April 2015
Accepted:
10 April 2015
Published:
18 April 2015
Abstract: The aim of this study is to investigate difficulties and errors of 1st grade Computer Teaching and Technology Department students on discontinuity kinds of partial functions and some certain functions. The data is gathered by the questionnaire containing 10 open ended questions. The answers of students are categorized according to 0-3 points’ schema. Based on the results and detailed analysis of students’ responses it is observed that students have many difficulties on finding the right and left hand side limit of partial functions on specific points. So it leads errors on determining the discontinuity types of these functions. Moreover, the results of analysis show that students have some difficulties on determining the discontinuity of some specific functions.
Abstract: The aim of this study is to investigate difficulties and errors of 1st grade Computer Teaching and Technology Department students on discontinuity kinds of partial functions and some certain functions. The data is gathered by the questionnaire containing 10 open ended questions. The answers of students are categorized according to 0-3 points’ schem...
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An Extension of a Fixed Point Result in Cone Banach Space
Issue:
Volume 4, Issue 3, June 2015
Pages:
70-74
Received:
3 April 2015
Accepted:
14 April 2015
Published:
24 April 2015
Abstract: In this paper we study a class of mappings in a ConeBanach Space which have at least one fixed point. More precisely for a closed and convex subset C of a cone Banach space with a generalized norm that satisfy a special condition. We are proposing some extensions of the results of Karapinar.
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Refined Definitions in Real Numbers and Vectors and Proof of Field Theories
Issue:
Volume 4, Issue 3, June 2015
Pages:
75-79
Received:
7 April 2015
Accepted:
14 April 2015
Published:
24 April 2015
Abstract: A set of new and refined principles and definitions in Real Numbers and Vectors are presented. What is a Vector? What is the meaning of the Addition of two Vectors? What is a Real Number? What is the meaning of their signs? What is the meaning of the Addition of two Real Numbers? What is the Summation Principle in Addition Operation? What is the Cancellation Principle in Addition Operation? What is the Meaning of the Multiplication of two Real Numbers? Is Field Theory a law? Can it be proved? All these issues are addressed in this paper. With better pictures and graphical presentations, proof of Field Theories in Real Numbers and Vectors including Commutativity, Associativity and Distributivity are also proposed.
Abstract: A set of new and refined principles and definitions in Real Numbers and Vectors are presented. What is a Vector? What is the meaning of the Addition of two Vectors? What is a Real Number? What is the meaning of their signs? What is the meaning of the Addition of two Real Numbers? What is the Summation Principle in Addition Operation? What is the Ca...
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MHD Micropolar Fluid Near a Vertical Plate with Newtonian Heating and Thermal Radiation in the Presence of Mass Diffusion
Ahmed A. Bakr,
Z. A. S. Raizah,
Ahmed M. Elaiw
Issue:
Volume 4, Issue 3, June 2015
Pages:
80-89
Received:
19 April 2015
Accepted:
22 April 2015
Published:
13 May 2015
Abstract: The effects of chemical reaction and thermal radiation on unsteady free convection flow of a micropolar fluid past a semi-infinite vertical plate embedded in a porous medium in the presence of heat absorption with Newtonian heating have been investigated. Both physically important boundary conditions of uniform wall concentration (UWC) and uniform mass flux (UMF) are considered. Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. Numerical results of velocity profiles of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid in UWC and UMF cases. Graphical results for velocity, temperature and concentration profiles of both phases based on the analytical solutions are presented and discussed. Finally the effects of the pertinent parameters on the skin friction, couple stress and the rate of heat transfer coefficient at the plate are discussed.
Abstract: The effects of chemical reaction and thermal radiation on unsteady free convection flow of a micropolar fluid past a semi-infinite vertical plate embedded in a porous medium in the presence of heat absorption with Newtonian heating have been investigated. Both physically important boundary conditions of uniform wall concentration (UWC) and uniform ...
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Generalized Riesz Sequence Space of Non-Absolute Type and Some Matrix Mapping
Md. Fazlur Rahman,
A. B. M. Rezaul Karim
Issue:
Volume 4, Issue 3, June 2015
Pages:
90-95
Received:
20 April 2015
Accepted:
4 May 2015
Published:
15 May 2015
Abstract: Recently several authors defined and studied Riesz sequence space r^q(u, p) of non-absolute type. In this paper for some weight s ≥ 0, we define the generalized Risez sequence space r^q(u, p, s) of non-absolute type and determine its Kothe-Toeplitz dual. We also consider the matrix mapping r^q(u, p, s) to l_∞ and r^q(u, p, s) to c, where l_∞ is the space of all bounded sequences and c is the space of all convergent sequences.
Abstract: Recently several authors defined and studied Riesz sequence space r^q(u, p) of non-absolute type. In this paper for some weight s ≥ 0, we define the generalized Risez sequence space r^q(u, p, s) of non-absolute type and determine its Kothe-Toeplitz dual. We also consider the matrix mapping r^q(u, p, s) to l_∞ and r^q(u, p, s) to c, where l_∞ is th...
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Report
Numerical Study on the Boundary Value Problem by Using a Shooting Method
Md. Mizanur Rahman,
Mst. Jesmin Ara,
Md. Nurul Islam,
Md. Shajib Ali
Issue:
Volume 4, Issue 3, June 2015
Pages:
96-100
Received:
28 April 2015
Accepted:
15 May 2015
Published:
26 May 2015
Abstract: In the present paper, a shooting method for the numerical solution of nonlinear two-point boundary value problems is analyzed. Dirichlet, Neumann, and Sturm- Liouville boundary conditions are considered and numerical results are obtained. Numerical examples to illustrate the method are presented to verify the effectiveness of the proposed derivations. The solutions are obtained by the proposed method have been compared with the analytical solution available in the literature and the numerical simulation is guarantee the desired accuracy. Finally the results have been shown in graphically.
Abstract: In the present paper, a shooting method for the numerical solution of nonlinear two-point boundary value problems is analyzed. Dirichlet, Neumann, and Sturm- Liouville boundary conditions are considered and numerical results are obtained. Numerical examples to illustrate the method are presented to verify the effectiveness of the proposed derivatio...
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Maximum Principle and the Applications of Mean-Field Backward Doubly Stochastic System
Hong Zhang,
Jingyi Wang,
Tengyu Zhao,
Li Zhou
Issue:
Volume 4, Issue 3, June 2015
Pages:
101-108
Received:
22 April 2015
Accepted:
5 May 2015
Published:
1 June 2015
Abstract: Since Pardoux and Peng firstly studied the following nonlinear backward stochastic differential equations in 1990. The theory of BSDE has been widely studied and applied, especially in the stochastic control, stochastic differential games, financial mathematics and partial differential equations. In 1994, Pardoux and Peng came up with backward doubly stochastic differential equations to give the probabilistic interpretation for stochastic partial differential equations. Backward doubly stochastic differential equations theory has been widely studied because of its importance in stochastic partial differential equations and stochastic control problems. In this article, we will study the theory of doubly stochastic systems and related topics further.
Abstract: Since Pardoux and Peng firstly studied the following nonlinear backward stochastic differential equations in 1990. The theory of BSDE has been widely studied and applied, especially in the stochastic control, stochastic differential games, financial mathematics and partial differential equations. In 1994, Pardoux and Peng came up with backward doub...
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The Maximum Principle of Forward Backward Transformation Stochastic Control System
Li Zhou,
Hong Zhang,
Jie Zhu,
Shucong Ming
Issue:
Volume 4, Issue 3, June 2015
Pages:
109-114
Received:
13 May 2015
Accepted:
22 May 2015
Published:
1 June 2015
Abstract: In the paper, we discuss the maximum principle for the forward backward stochastic system. Assume the system follows a coupled forward backward stochastic differential equation modulated by a Marlcov chain and the control domain is convex. By convex variable method, we give the necessary and sufficient conditions for the existence of optimal control.
Abstract: In the paper, we discuss the maximum principle for the forward backward stochastic system. Assume the system follows a coupled forward backward stochastic differential equation modulated by a Marlcov chain and the control domain is convex. By convex variable method, we give the necessary and sufficient conditions for the existence of optimal contro...
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The Mean Field Forward Backward Stochastic Differential Equations and Stochastic Partial Differential Equations
Jie Zhu,
Hong Zhang,
Li Zhou,
Yuhang Feng
Issue:
Volume 4, Issue 3, June 2015
Pages:
120-127
Received:
14 May 2015
Accepted:
26 May 2015
Published:
6 June 2015
Abstract: Since 1990 Pardoux and Peng, proposed the theory of backward stochastic differential equation Backward stochastic differential equation and is backward stochastic differential equations (short for FBSDE) theory has been widely research (see El Karoui, Peng and Cauenez, Ma and Yong, etc.) Generally, a backward stochastic differential equation is a type Ito stochastic differential equation and a coupling Pardoux - Peng and backward stochastic differential equation. Antonelli, Ma, Protter and Yong is backward stochastic differential equation for a series of research, and apply to the financial. One of the research direction is put forward by Hu and Peng first. Peng and Wu Peng and Shi made a further research, and Yong to a more detailed discussion of this method, by introducing the concept of the bridge, systematically studied the FBSDE continuity method. Because such a system can be applied to random Feynman - Kac of partial differential equations of research, And a double optimal control problem of stochastic control systems, we will be working in Peng and Shi further in-depth study on the basis of this category are backward stochastic differential equation. In this paper, we are considering various constraint conditions with backward stochastic differential equation.
Abstract: Since 1990 Pardoux and Peng, proposed the theory of backward stochastic differential equation Backward stochastic differential equation and is backward stochastic differential equations (short for FBSDE) theory has been widely research (see El Karoui, Peng and Cauenez, Ma and Yong, etc.) Generally, a backward stochastic differential equation is a t...
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Enumeration of Triangles in Cayley Graphs
Levaku Madhavi,
Tekuri Chalapathi
Issue:
Volume 4, Issue 3, June 2015
Pages:
128-132
Received:
12 May 2015
Accepted:
23 May 2015
Published:
11 June 2015
Abstract: Significant contributions can be found on the study of the cycle structure in graphs, particularly in Cayley graphs. Determination of Hamilton cycles and triangles, the longest and shortest cycles attracts special attention. In this paper an enumeration process for the determination of number of triangles in the Cayley graph associated with a group not necessarily abelian and a symmetric subset of the group.
Abstract: Significant contributions can be found on the study of the cycle structure in graphs, particularly in Cayley graphs. Determination of Hamilton cycles and triangles, the longest and shortest cycles attracts special attention. In this paper an enumeration process for the determination of number of triangles in the Cayley graph associated with a group...
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Stochastic differential equation driven by the Wiener process in a Banach space, existence and uniqueness of the generalized solution
Issue:
Volume 4, Issue 3, June 2015
Pages:
133-138
Received:
15 December 2014
Accepted:
16 December 2014
Published:
11 June 2015
Abstract: In this paper the stochastic differential equation in a Banach space is considered for the case when the Wiener process in the equation is Banach space valued and the integrand non-anticipating function is operator-valued. At first the stochastic differential equation for the generalized random process is introduced and developed existence and uniqueness of solutions as the generalized random process. The corresponding results for the stochastic differential equation in a Banach space is given. In [5] we consider the stochastic differential equation in a Banach space in the case, when the Wiener process is one dimensional and the integrand non-anticipating function is Banach space valued.
Abstract: In this paper the stochastic differential equation in a Banach space is considered for the case when the Wiener process in the equation is Banach space valued and the integrand non-anticipating function is operator-valued. At first the stochastic differential equation for the generalized random process is introduced and developed existence and uniq...
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