Many potential inventions are never discovered because the thought processes of scientists and engineers are channeled along well-traveled paths. In contrast, the evolutionary process tends to opportunistically solve problems without considering whether the evolved solution comports with human preconceptions about whether the goal is impossible. This paper demonstrates how genetic programming c...

The article deals with substantiation of efficiency interdisciplinary approach in developing competences the field using mathematic methods economics for graduates universities. necessity to form such arose due increasing requirements on part employers training economists. research is really acute as shaping skills students’ economic investigations at universities impeded. Key reasons that incl...

Many people are familiar with the physico-chemical properties of gene sequences. In this paper I present a mathematical perspective: how do mathematical principles such as information theory, coding theory, and combinatorics influence the beginnings of life and the formation of the genetic codes we observe today? What constraints on possible life forms are imposed by information-theoretical con...

constructing phase diagram and its subsequent quality lines for lean gas condensate reservoirs is always crucial and challenging topic in reservoir fluid studies. due to small amounts of liquid drop-outs in lean gas condensates at reservoir conditions, full experimental tracking of phase diagram and its relevant quality lines is almost impossible for lean gas condensates.on the other hand, eos ...

Systematic efforts are underway to address major flaws in the current diagnostic taxonomy of mental disorders, fostering hope that a new nosology might be based on brain biology. The National Institute of Mental Health Research Domains Criteria (RDoC) initiative aims to redefine mental illness leveraging information that spans molecular to behavioral levels of analysis. Major effort is still ne...

A parsimonious representation of signals is a mathematic model parametrized with a small number of parameters. Such models are useful for analysis, interpolation, filtering, feature extraction, and data compression. A new parsimonious model is presented in this paper based on scattering transforms. It is closely related to the eigenvalues and eigenfunctions of the linear Schrödinger equation. T...