In this paper, we study the classification of finite-dimensional real solvable Lie algebras whose derived are codimension 1 or 2. We present an effective method to classify (n+1)-dimensional having 1-codimensional provided that a full n-dimensional nilpotent is given. addition, problem classifying (n+2)-dimensional 2-codimensional proved be wild. case, subclass considered which extended from th...

The well-known Rutherford differential cross section, denoted by $ d\Omega/d\sigma$, corresponds to a two body interaction with Coulomb potential. It leads the logarithmically divergence of momentum transfer (or transport section) which is described $$\int_{{\mathbb S}^2} (1-\cos\theta) \frac{d\Omega}{d\sigma} d\sigma\sim \int_0^{\pi} \theta^{-1}d\theta. $$ Here $\theta$ deviation angle in scat...

using fixed pointmethods, we investigate approximately higher ternary jordan derivations in banach ternaty algebras via the cauchy functional equation$$f(lambda_{1}x+lambda_{2}y+lambda_3z)=lambda_1f(x)+lambda_2f(y)+lambda_3f(z)~.$$

Background and Aims: Six sigma is the latest version of total quality management. It is quantitative goal for process performance. With increasing demands for improved accuracy and reliability of the results, Six Sigma is gaining increased visibility in the clinical laboratory process outcomes. The aim of study was to evaluate the quality of analytical phase performance in a clinical biochemist...

The basic Schema Theorem for genetic algorithms is modiied for a grammatically-based learning system. A context-free grammar is used to deene a language in which each sentence is mapped to a tness value. The derivation trees associated with these sentences are used to deene the structure of schemata. The eeect of crossover and mutation on schemata is described. A schema theorem is developed whi...