Cristaloquimica by K. L. Amorós

The Decays K L → l + l − l ′ + l ′ − Revisited

The double lepton pair decay modes of the KL meson are analyzed including all contributions of order p in Chiral Perturbation Theory. The experimentally established eeee mode and the recently observed eeμμ mode are discussed in detail. Typeset using REVTEX 0 In this note we reconsider the double lepton pair decays KL → llll that were studied many years ago by Miyazaki and Takasugi [1]. The two ...

Section K-Section L

(k, l)-kernels, (k, l)-semikernels, k-Grundy functions and duality for state splittings

Line digraphs can be obtained by sequences of state splittings, a particular kind of operation widely used in symbolic dynamics [12]. Properties of line digraphs inherited from the source have been studied, for instance in [7] Harminc showed that the cardinalities of the sets of kernels and solutions (kernel’s dual definition) of a digraph and its line digraph coincide. We extend this for (k, l...

L-fuzzy (k,e)-soft Closure Operators Induced by L-fuzzy (k,e)-soft Quasi-uniform Spaces

Molodtsov [14,15] introduced the soft set as a mathematical tool for dealing information as the uncertainty of data in engineering, physics, computer sciences and many other diverse field. Presently, the soft set theory is making progress rapidly [1,7].The topological structures of soft sets have been developed by many researchers [2-5,11,17,20]. On the other hand, Hájek [8] introduced a comple...

Fuzzy C-Means Clustering With Regularization by K-L Information

Gaussian mixture model or Gaussian mixture density model(GMM) uses the likelihood function as a measure of fit. We show that just the same algorithm as the GMM can be derived from a modified objective function of Fuzzy c-Means (FCM) clustering with the regularizer by K-L information, only when the parameter λ equals 2. Although the fixed-point iteration scheme of FCM is similar to that of the G...