In this paper, an area-efficient implementation of a fast converging square root algorithm is presented. The design of special arithmetic operations differs in many ways from the traditional tasks that digital designers are used to, and the role of parameterizibility and mapping of mathematical algorithms into digital hardware is discussed. Certain realworld applications requiring the use of th...

A mathematical formalism called Quantum Causal Histories was recently invented as an attempt to describe causality within a quantum theory of gravity. Fundamental examples include quantum computers. We show there is a connection between this formalism and the directed graph operator framework from the theory of operator algebras.

A time harmonic far field model for closed electromagnetic time reversal mirrors is proposed. Then, a limit model corresponding to small perfectly conducting scatterers is derived. This asymptotic model is used to prove the selective focusing properties of the time reversal operator. In particular, a mathematical justification of the DORT method (Decomposition of the Time Reversal Operator meth...

The main purpose of this paper is to show the application of mathematical system of quaternions in physics. We show a basic way of generating a quaternion operator and a method of obtaining the Schrodinger’s equation using this operator matrix. Then we investigate the various probable uses of the coefficient matrix to scale relativity and spacetime quantization.

A notion of closure operator with respect to a functor U is introduced. This allows us to describe a number of mathematical constructions that could not be described by means of the already existing notion of closure operator. Some basic results and examples are provided. Mathematics Subject Classification (1991). 18A22, 18A32, 06A15.

Diabetic Retinopathy is the damage to the retina caused by complication and the most common cause of blindness in Thailand. Retinal image is essential for expert ophthalmologists to diagnose diseases. Several of method can achieve good performance on retinal feature are clearly visible. Unfortunately, the color retinal image in Thailand are low-resolution images. The existing method cannot iden...

Vertex operator algebras are mathematically rigorous objects corresponding to chiral algebras in conformal field theory. Operads are mathematical devices to describe operations, that is, n-ary operations for all n greater than or equal to 0, not just binary products. In this paper, a reformulation of the notion of vertex operator algebra in terms of operads is presented. This reformulation show...

<p style='text-indent:20px;'>The aim of this paper is to study the calcium profile governed by advection diffusion equation. The mathematical and computational modeling has provided insights understand signalling which depends upon cytosolic concentration. Here model includes important physiological parameters like coefficient, flow velocity etc. fractionalised using Hilfer derivative app...

Abstract. The Balescu-Lenard equation from plasma physics is widely considered to include a highly accurate correction to Landau’s fundamental collision operator. Yet so far it has seen very little mathematical study. We perform an extensive linearized analysis of this equation, which includes determining the asymptotic behavior of the new components of the linearized operator and establishing ...