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Two Proofs of the Farkas-Minkowski Theorem by Tandem Method and by Use of an Orthogonal Complement

- T. Fujimoto, B. Perera, G. Giorgi
- Mathematics
- 1 November 2016

This note presents two proofs of the Farkas-Minkowski theorem. The first one is analytical, and this does not presuppose the closedness of a finitely generated cone. We do not employ separation… Expand

BIOLOGICAL AGING MODELED WITH STOCHASTIC DIFFERENTIAL EQUATIONS

A family of stochastic differential equation (SDE) models is derived and studied for the aging of biological organisms. The SDE aging models give meaningful mathematical interpretations of the aging… Expand

Uniqueness of roots of a cubic and proof of Fermat‟s last theorem for n=3

- A.M.D.M. Shadini, R. Piyadasa, B. Perera
- Mathematics
- 2011

Predator-prey model with fuzzy initial conditions

- U. Ravindran, B. Perera
- Mathematics
- 2018

Predator-prey model, an initial value problem which is found in real life describes the relationship between predators and preys in an ecosystem, consisting of two nonlinear, autonomous differential… Expand

Eisenberg's Duality in Homogeneous Programming, Shephard's Duality and Economic Analysis

- B. Perera
- Economics
- 1 November 2017

This note is to reintroduce to the reader Eisenberg's symmetric duality theorem in homogeneous programming problems as a useful tool in economic analysis, and thereby to pay a due tribute to him for… Expand

Proof of Fermat’s Last Theorem for n = 3 Using Tschirnhaus Transformation

- B. Perera, R. Piyadasa
- Mathematics
- 1 October 2014

This paper gives a proof on Fermat’s last theorem (FLT) for n = 3 by firstly reducing the Fermat’s equation to a cubic equation of one variable and then using Tschirnhaus transformation to reduce it… Expand

Nonlinear Generalizations of Farkas-Minkowski's Theorem

- T. Fujimoto, B. Perera, G. Giorgi, Ravindra R. Ranade
- Mathematics
- 1 July 2015

A proof of the Farkas–Minkowski theorem by a tandem method

- T. Fujimoto, B. Perera, G. Giorgi
- Economics
- 1 February 2018

This note presents a proof of the Farkasâ€“Minkowski theorem. Our proof does not presuppose the closedness of a finitely generated cone, nor employs separation theorems either. Even the concept of… Expand

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Off-line signature verification system using artificial neural networks

- A. Ambegoda, B. Perera
- Computer Science
- 2018

Useful identities in finding a simple proof for Fermat’s last theorem

- R. Piyadasa, A.M.D.M. Shadini, B. Perera
- Mathematics
- 2010

Fermat’s last theorem, very famous and difficult theorem in mathematics, has been proved by Andrew Wiles and Taylor in 1995 after 358 years later the theorem was stated However, their proof is… Expand