Browsing Mathematics by Issue Date

Approximate for the null distribution of a statistic caused by random combinations

Kulatunga, D.D.S.; Kudo, A.; Azuma, S. (Applied Statistics Association of Sri Lanka, 2000)

Advanced plane geometry research – III: Alternative proofs for the standard theorems in plane geometry

Amarasinghe, G.W.I.S. (Sri Lanka Association for the Advancement of Science, 2010)

Advanced plane geometry research – I

Amarasinghe, G.W.I.S. (Sri Lanka Association for the Advancement of Science, 2010)

Advanced plane geometry research – II

Amarasinghe, G.W.I.S. (Sri Lanka Association for the Advancement of Science, 2010)

Physically meaningful zeros and poles of elastic S-matrix element

Amarasinghe, A.V.D.S.; Katunatileke, N.G.A.; Shadini, A.M.D.M. (Sri Lanka Association for the Advancement of Science, 2011)

It is found that an essential singularity is introduced at the origin of the complex k-plane in the S-matrix element in addition to the infinite number of zeros and poles apparently introduced due to the Coulomb potential. ...

The equality of Schrödinger’s Theory and Heisenberg’s S-matrix Theory

Silva, H.I.R.U. (Sri Lanka Association for the Advancement of Science, 2011)

The main aim of this work is to show that the energy discrete eigen values given by the Schrödinger’s theory and Heisenberg’s theory are the same. To obtain this result, we have used Parabolic co-ordinates to solve the ...

Effect of long-range part of the potential on the elastic S-matrix element

Shadini, A.M.D.M.; Munasingha, J. (Sri Lanka Association for the Advancement of Science, 2011)

The quantum mechanical three-body Schrödinger equation can be reduced to a set of coupled differential equations when the projectile is easily breakable into two fragments and when scattering is a heavy stable nucleus. ...

The identity of Fermat equation and simple proof of Fermat’s last theorem for n=5

Pallewatta, P.G.M.O.; Piyadasa, R.A.D. (Sri Lanka Association for the Advancement of Science, 2013)

On the validity of three body model calculations

Dahanayaka, S.D.; Piyadasa, R.A.D. (Sri Lanka Association for the Advancement of Science, 2013)

Proof of Fermat’s last theorem for n=5 and many odd primes

Ubeynarayana, C.U.; Dharmasiri, K.G.E.U.; Piyadasa, R.A.D. (Sri Lanka Association for the Advancement of Science, 2013)

On theoretical description of the validity of a simple quantum mechanical three body model

Rathnayaka, D.A.; Piyadasa, R.A.D. (Sri Lanka Association for the Advancement of Science, 2014)

Confirmation of earth’s closed loop orbit using tidal waves.

Munasinghe, J; Kekulawala, K.I.S. (Sri Lanka Association for the Advancement of Science Proceedings of the 73rd Annual Sessions - 2017 , Department of Mathematics, University of Kelaniya,Sri Lanka., 2017)

The word 'tide' is a prevalent term used to define the alternating rise and fall in the sea level wit respect to the land, produced by the gravitational attraction of the moon and the sun. To a bett understanding of the ...

Centrality Measures to Identify Traffic Congestion on Road Networks: A Case Study of Sri Lanka.

Jayaweera, I.M.L.N.; Perera, K.K.K.R.; Munasinghe, J. (IOSR Journal of Mathematics (IOSR-JM), Department of Mathematics, Faculty of Science, University of Kelaniya, Sri Lanka., 2017)

This study presents a graph theoretical approach to identify the traffic congestion on a road network. Problem address on a city called Kiribathgoda situated in the western province of Sri Lanka. In the analysis of social ...

Tidal variation m the west coastal area of Sri Lanka.

Munasinghe, J.; Gunasekera, H.D.S. (International Conference on Computational Modelling and Simulation-2017 (ICCMS 117), Department of Mathematics, Faculty of Science, University of Kelaniya, Sri Lanka., 2017)

The present study was carried out in an attempt to observe and analyze the tidal height changes due to the motion of the sun, moon and earth, in the west coastal area of Sri Lanka. Tidal height deviations from the Mean Sea ...

Analytical solutions of the time-fractional non- linear Schrodinger equation with zero and non-zero trapping potential through the sumudu decomposition method

Mathanaranjan, K.; Himalini, K. (Journal of Science of the University of Kelaniya Volume:10, 2019)

Sumudu decomposition method is used to construct the approximate analytical solutions of time-fractional nonlinear Schrodinger equations with zero and nonzero trapping potential. The Sumudu decomposition method is a ...

Solutions of Direct and Inverse Even-Order Sturm-Liouville Problems Using Magnus Expansion

Perera, U.; Böckmann, C. (Mathematics, 2019)

In this paper Lie group method in combination with Magnus expansion is utilized to develop a universal method applicable to solving a Sturm–Liouville problem (SLP) of any order with arbitrary boundary conditions. It is ...

Solutions of Sturm-Liouville Problems

Perera, U.; Böckmann, C. (Mathematics, 2020)

This paper further improves the Lie group method with Magnus expansion proposed in a previous paper by the authors, to solve some types of direct singular Sturm–Liouville problems. Next, a concrete implementation to the ...

Investigation of a best fitting mathematical model for the frequency of occurrence of Trichoderma harzianum in Hakgala Montane Forest in Sri Lanka

Munasinghe, J.,; Jayalath, T. D.,; Kannangara, B. T. S. D. P., (International Conference on Applied and Pure Sciences, 2020 Faculty of Science, University of Kelaniya, Sri Lanka, 2020)

Trichoderma is a genus commonly found in the soils of all climatic zones. All most all the species of Trichoderma can produce antimicrobial antibiotics and are good competitors of fungal pathogens, which promote plant ...

Kauffman bracket versus Jones polynomial skein modules

Almeida, Shamon; Gelca, Razvan (arXivLabs, 2022)

This paper resolves the problem of comparing the skein modules defined using the skein relations discovered by P. Melvin and R. Kirby that underlie the quantum group based Reshetikhin-Turaev model for SU(2) Chern-Simons ...

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