Introduction of Groups via Symmetry Groups of Molecules Determination of the structure of molecules is one of many examples of the use of the group theory. Electronic structure of a molecule can be determined via its geometric structure. In this case, one consider the symmetry of a molecule since it reveals information about its properties (i.e., structure, spectra, polarity, chirality, etc). T...

a multi-objective optimization procedure has been developed to determine some kinetic parameters of free radical polymerization of vinyl acetate based on genetic algorithm. for this purpose, mathematical modeling of free radical polymerization of vinyl acetate is carried out first and then selected kinetic parameters are optimized by minimizing objective functions defined from comparing experim...

Functional connectivity is a neurobiological notion, informally stating that there would be strong dependence between neurons and this might useful in understanding the way brain encodes stimuli, programs actions, etc. However, practice such dependencies are often reconstructed via Hawkes processes based on an amazingly small number of neurons, because very scarce observation complex huge netwo...

This study investigated whether Japanese listeners learning English employ two types of lexical information (word frequency and neighborhood density) when they recognize English words. English words recorded by a native speaker of English and a native speaker of Japanese were presented to Japanese university students in a noise condition. The results of word recognition scores showed that Japan...

\Life" and its \evolution" are fundamental concepts that have not yet been formulated in precise mathematical terms, although some eeorts in this direction have been made. We suggest a possible point of departure for a mathematical deenition of \life." This deenition is based on the computer and is closely related to recent analyses of \inductive inference" and \randomness." A living being is a...