We study Euler–Poincaré systems (i.e., the Lagrangian analogue of LiePoisson Hamiltonian systems) defined on semidirect product Lie algebras. We first give a derivation of the Euler–Poincaré equations for a parameter dependent Lagrangian by using a variational principle of Lagrange d’Alembert type. Then we derive an abstract Kelvin-Noether theorem for these equations. We also explore their rela...

Gauge fields are special in the sense that they are invariant under gauge transformations and " ipso facto " they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge condition to fix the gauge so that the fields that are connected by gauge invariance are not overcounted in the process of quantization. The usual way we do this in ...

Gauge fields are special in the sense that they are invariant under gauge transformations and " ipso facto " they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge condition to fix the gauge so that the fields that are connected by gauge invariance are not overcounted in the process of quantization. The usual way we do this in ...

| We present a new low-complexity bit-parallel canonical basis multiplier for the eld GF2 m generated by a n all-one-polynomial. The proposed canon-ical basis multiplier requires m 2 , 1 XOR gates and m 2 AND gates. We also extend this canonical basis multiplier to obtain a new bit-parallel normal basis multiplier.

The accuracy of the multiplication depends on the precision of the multiplier. The variable precision floating point multiplier will have more accuracy when compared with the fixed precision multiplier. In this paper a variable precision floating point multiplier is considered. An effective BIST test pattern generator for variable precision floating point multiplier is proposed. A BIST TPG cons...

Gauge fields are special in the sense that they are invariant under gauge transformations and " ipso facto " they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge condition to fix the gauge so that the fields that are connected by gauge invariance are not overcounted in the process of quantization. The usual way we do this in ...

Gauge fields are special in the sense that they are invariant under gauge transformations and " ipso facto " they lead to problems when we try quantizing them straightforwardly. To circumvent this problem we need to specify a gauge condition to fix the gauge so that the fields that are connected by gauge invariance are not overcounted in the process of quantization. The usual way we do this in ...

The present paper is an attempt to: 1- Demonstrate how money is created (by the nature of the system), and to estimate the inflation resulting from monetary factors in both usurious and non-usurious systems. Operational aspects of Islamic and non-Islamic banking systems are compared. 2- Introduce a corrective term to be added to the multiplier of the supply of money, in order to prevent the und...

Now a day’s multiplication and modulus takes crucial role so we are combining multiplication and modulus. A Novel multi-modulus multiplier with different widths of modulus operations. In this paper we have radix4 multi-modulus multiplier with 4bit, 32bit, 64bit and radix8 multi-modulus multiplier with 4bit, 32bit, 64bit.radix4 and radix8 multi-modulus multiplier using Residue multiplication is ...