With using the algebraic approach Lie symmetries of Schr\"odinger equations with matrix potentials are classified. Thirty three inequivalent such type together related symmetry groups specified, admissible equivalence relations clearly indicated. In particular Boyer results concerning kinematical invariance for arbitrary (C. P. Boyer, Helv. Phys. Acta, {\bf 47}, 450--605 (1974)) clarified and c...

Probably the two best-known exact string matching algorithms are the linear-time algorithm of Knuth, Morris and Pratt (KMP), and the fast on average algorithm of Boyer and Moore (BM). The efficiency of these algorithms is based on using a suitable failure function. When a mismatch occurs in the currently inspected text position, the purpose of a failure function is to tell how many positions th...

remains to be done in order that perfect certainty may be attained, nevertheless the outcome must be regarded as promising in pointing toward an adequate and convenient method of separating gallium from other metals. Three fractional samples of the chloride discussed in the previous section were analyzed, using the usual methods employed in Harvard University in order to make a preliminary dete...

String matching problem is widely studied problem in computer science, mainly due to its large applications used in various fields. In this regards many string matching algorithms have been proposed. Boyer-Moore is most popular algorithm. Hence, maximum variants are proposed from Boyer-Moore (BM) algorithm. This paper addresses the variant of Boyer-Moore algorithm for finding the occurrences of...

Low and high intake of fat consumption regardless of its kind can jeopardize personal and public health. Despite the importance of quality and quantity of fat in the diet and its relationship with some chronic disorders such as coronary heart disease, some types of cancers, obesity and diabetes, the consumption pattern of fats and their . constituent fatty acids have not yet been assessed in ou...

In recent years several fixed point theorems for hybrid pairs of mappings are proved and by now there exists considerable literature in this direction. To mention a few, one can cite Imdad and Ahmad [10], Pathak [19], Popa [20] and references cited therein. On the other hand Assad and Kirk [4] gave a sufficient condition enunciating fixed point of set-valued mappings enjoying specific boundary ...