Research Publications

Academic theses and dissertations are regularly published and widely disseminated in YUOE Journal, Monographs, Universities Research Journal (URJ), Myanmar Academy of Arts and Science (MAAS) Journal, AsTEN Research Journal and International online Journals for sharing knowledge and contributing to the development of our education.

Myanmar Academy of Art & Science List of Research

No. Researcher Title Abstract Year
101 Aye Pyone ORIT-STAILIER THEOREM AND CONSEUENCES We present that a mapfrom a nonempty set into itself where each is in a group ; namely, is called an action of on . We next present the Orbit-Stabilizer Theorem: If acts on , ? then the order of orbit of is equal to the index of stabilizer of in . Last, we show that if an infinite group has a subgroup of finite index then it also has a normal infinite subgroup of finite index, which is the consequence of this theorem. 2018
102 Ohonmar Nwe FINDING A NEW METHOD FOR THE SOLUTION OF NONLINEAR EUATIONS ? In this paper, the weak points of some numerical methods which can be used to find the solutions of nonlinear equations ? are introduced.Then the new method (OhnmarNwes method) is presented. And also the convergence of the new method is proved and comparison of the convergence for the new method and Newtons Method are expressed. Finally, the weak point of the new method is discussed. 2018
103 Khin Wah Win WAVELETS ON GROUPS This paper is an expository survey of basic concepts of Wavelet Analysis. We shall discuss wavelets in 2 (R) and 2 (), where ?is a locally compact abelian Group, in particular a Lie group. A discussion of basic facts of Topological groups, Differentiable Manifolds and Lie groups are also included. 2018
104 Khin Moe Moe A STUDY ON FILTERS In this paper, firstly the classification of filters is discussed. Topological space plays a crucial role in this discussion. After that the relations between them are studied. Especially, the characterizations of ultrafilters are presented with detail proofs. Ultrafilter is a powerful tool both in set theory and in topology. Moreover, the comparisons of filters are expressed and some notions of filter basis and trace of filter are described. Finally, ultrafilter convergence theorem and convergence of Cauchy filter in topological vector space are investigated. 2018
105 Li Li Than COMPARISON OF SIMPLE ACCELERATION METHOD AND CONWAYS METHOD Congruence can be used to determine on which day of the week a given date falls. We discuss the calendar formula to calculate the day of the week of December 25, 2017. Also, we express easier formula to calculate. And then, we describe Conways Doomsday Algorithm. The Doomsday Algorithm is an Algorithm for calculating the day of the week for any given calendar date. The algorithm is based on first computing doomsday which is the day of the week of the last day of February, or of January. We present an acceleration method for calculating the dooms year term of the Doomsday algorithm. Finally, we show that simple acceleration method is similar in form to Conways lookup table acceleration method 2018
106 Aye Aye Myint RELATIONS ETWEEN CAYLEY GRAPH AND VERTEXTRANSITIVE GRAPH In this paper, we first express basic concepts of graph theory. Then we define vertex-transitive graph and Cayley graph with a given group by using generating set or nongenerating set. Finally, we prove that every Cayley graph is vertex-transitive graph and we also give an example that the converse of this theorem is false. 2018
107 Kyaw Lin Aung GRAPHS WITH THE SPECIFIED EDGE GEODETIC NUMERS Firstly we state some properties of the edge geodetic number of the connected graphs. Then the edge geodetic numbers of some special graphs are derived. Next we study the graphs with the edge geodetic number 2. We also state the necessary and sufficient conditions for a graph ?with vertices to have the edge geodetic number () = – 1 or() = . Finally we characterize the graphs which have the specified edge geodetic numbers? 2018
108 Aung Phone Maw mth LEVEL HARMONIC NUMERS We define ?th level harmonic numbers as a generalization of harmonic numbers. Then we construct the table of ?th level harmonic numbers which is like the Pascals triangle. A formula for ?th level harmonic numbers containing binomial coefficients, as a generalization of Eulers formula for harmonic numbers, is also presented. From this formula, we also derive some relations between harmonic numbers and binomial coefficient. 2018
109 Myint Myint Maw DECOMPOSITION OF COMPLEX VECTOR SPACE n INTO INVARIANT SUSPACES This paper study the existence of eigenvalue for every linear operator on a finite-dimensional complex vector space. In this paper, we will discuss although eigenvectors corresponding to distinct eigenvalues are linearly independent, they can not span the complex vector space. Then we give decomposition of complex vector space into generalized eigenspaces and Jordan subspaces. 2018
110 Zaw Win EIGENVALUES OF SOME COMPOSITE GRAPHS ? is a complete graph with vertices. ( ) ? is a graph containing ? copies of with each vertex of a is only adjacent to a vertex of each of the other . We will show that the adjacency matrix of ( ) ? has (i) ( – 1)(? – 1) eigenvalues of –2 (ii) ? – 1 eigenvalues of – 2 (iii) – 1 eigenvalues of ? – 2 (iv) an eigenvalue of + ? – 2. 2018