By assuming the existence of (quasi)-linear Regge trajectories for heavy mesons, we derive new quadratic mass relations of non-Gell-Mann–Okubo type, 6M(qq̄) + 3M(cc̄) = 8M(cq̄), 20M(qq̄) + 5M(bb̄) = 16M(bq̄), q = n(= u, d), s which show excellent agreement with experiment. We also establish the sum rule M(īi) +M(jj̄)− 2M(jī) ≈ const for any pair of flavors, (i, j). E-mail: [email protected]. Prese...

We consider the concept of a local set of inference rules. A local rule set can be automatically transformed into a rule set for which bottom up evaluation terminates in polynomial time. The local rule set transformation gives polynomial time evaluation strategies for a large variety of rule sets that can not be given terminating evaluation strategies by any other known automatic technique. Thi...

Consistency of preference relations is associated with the study of the transitivity property. This is clearly related to the scales used for associating preferences values to judgements, and the conditions used to represent transitivity. Both issues, the scale to use and the consistency property, have been studied in the multiplicative model as well as in the fuzzy one. However, we make note t...

This issue of MEDICC Review appears in the wake of a media splash on the reopening of the Cuban and US embassies in Washington and Havana, signaling the renewal of full diplomatic relations between the two governments. Although the US embargo is still law and one of the thorniest bilateral issues remaining, the Obama administration's bold opening towards Cuba is being echoed in the chambers of ...

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Recently, the general topology has become the appropriated frame for every collection related to relations because topology is required not only for mathematics and physics but also for biology, rough set theory, biochemistry, and dynamics. In this paper, we have introduced another concept of the closure operator. In so doing, the idempotent condition, which has never been realized, is achieved...

Based on Whitham’s variational approach and employing the 4× 4 formalism for dispersive wave motion, new balance and conservation laws were established. The general relations are illustrated with a specific example. © 2005 Elsevier B.V. All rights reserved.

The effective formulas reducing the two-dimensional Hermite polynomials to the classical (one-dimensional) orthogonal polynomials are given. New one-parameter generating functions for these polynomials are derived. Asymptotical formulas for large values of indices are found. The applications to the squeezed one-mode states and to the time-dependent quantum harmonic oscillator are considered.

By assuming the existence of (quasi)-linear Regge trajectories for heavy quarkonia in the low energy region, we derive a new, sixth power, meson mass relation which shows good agreement with experiment for both charmed and beauty mesons. This relation may be reduced to a quadratic Gell-Mann–Okubo E-mail: [email protected] E-mail: [email protected] E-mail: [email protected]. Also a...

In Verbal Behavior (1957) B. F. Skinner identified and named five elementary verbal relations: mand, tact, intraverbal, textual and echoic. Because of their etymological commitment to visual and auditory stimuli respectively, the last two categories do not function well as general categories. Adding two more general categories, codic and duplic, to the first three results in a set of five mutua...