reactor core for nuclear power plant (1293 mwe) is of pressurized water reactor (pwr) type , with net electric output of 1200 mwe. the reactor is designed by a german company kwu (krafts werk :union:). in order to introduce the methods of calculation of the reactor core parameters to the students at the institute of nuclear science and technology, and in addition to provide them with the basic ...

We perform forward error analysis for a large class of recursive matrix multiplication algorithms in the spirit of [D. Bini and G. Lotti, Stability of fast algorithms for matrix multiplication, Numer. Math. 36 (1980), 63–72]. As a consequence of our analysis, we show that the exponent of matrix multiplication (the optimal running time) can be achieved by numerically stable algorithms. We also s...

Motivated by easy access to complete corepresentation (corep) data of all the 1651 magnetic space groups (MSGs) in three-dimensional space, we have developed a Mathematica package MSGCorep provide an offline database coreps and various functions manipulate them, based on our previous SpaceGroupIrep. One can use obtain elements any MSG little group, calculate multiplication group elements, small...

An efficient initial approximation method for multiplicative division and square root is proposed. It is a modification of the piecewise linear approximation. The multiplication and the addition required for the linear approximation are replaced by only one multiplication with a slight modification of the operand. The same accuracy is achieved. The modification of the operand requires only a bi...

A loop (Q; ·) is called a Basarab if the identities: (x · yxρ)(xz) = x yz and (yx) (xλz x) hold. It was shown that left, right middle nuclei of coincide, nucleus set elements whose inner mapping Tx are automorphisms. The generators group were refined in terms one total loop. Necessary su_cient condition(s) (associators) for to be established. discovered loop: ↦ an endomorphism only left (right)...

We present a new RNS modular multiplication for very large operands. The algorithm is based on Montgomery’s method adapted to mixed radix, and is performed using a Residue Number System. By choosing the moduli of the RNS system reasonably large and implementing the system on a ring of fairly simple processors, an effect corresponding to a redundant high-radix implementation is achieved. The alg...

In this paper we study the properties of multiplication invariant (MI) operators acting on subspaces vector-valued space L2(X;H). We characterize such in terms range functions by showing that there is an isomorphism between category MI spaces (with as morphisms) and measurable whose morphisms are operators. investigate how global operator reflected local pointwise its corresponding operator. al...

Let R be a commutative ring. An R-module M is called co-multiplication provided that foreach submodule N of M there exists an ideal I of R such that N = (0 : I). In this paper weshow that co-multiplication modules are a generalization of strongly duo modules. Uniserialmodules of finite length and hence valuation Artinian rings are some distinguished classes ofco-multiplication rings. In additio...