Objective of this work is to explain the modelling concept of analytical function in the financial knowledge discovery model. This new simulation model of analytical function is developed for a financial knowledge discovery process that is used for the Corporate Criminal Intelligence Analysis (CCIA, in short). Model was developed for the CCIA work of the whole analytical part of the Financial p...

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Stability is the ability of a system to return to its original state after a disturbance. Taking vertical oscillations of the centre of mass of a human bending his legs as an example we prove that the intrinsic mechanical properties of musculature can stabilize the oscillatory movement (preflex) without reflexive changes in activation. The human is represented by a model consisting of a massles...

This paper presents simple analytical models of genetic algorithms which are commonly used in multimodal function optimization. The methodology for constructing the models is similar throughout the study. The predictive value of each model is veriied by running the corresponding genetic algorithm on various multimodal functions of varying complexity.

recently, two of the authors have introduced the collapse capacity spectrummethodology, which allows the assessment of the collapse capacity of highly inelastic p-deltasensitive regular frame structures without performing non-linear time-history analyses. the mainingredient of this method is the collapse capacity spectrum, which represents the seismic collapsecapacity of an inelastic non-deteri...

The entire function (of z)

In this paper we consider some analytical relations between gamma function Γ(z) and related functions such as the Kurepa’s function K(z) and alternating Kurepa’s function A(z). It is well-known in the physics that the Casimir energy is defined by the principal part of the Riemann function ζ(z) (Blau, Visser, Wipf; Elizalde). Analogously, we consider the principal parts for functions Γ(z), K(z),...

An analytical theory of intervalley mixing at semiconductor heterojunctions is presented. Burt’s envelope-function representation is used to analyze a pseudopotential Hamiltonian, yielding a simple d-function mixing between G and X electrons and light and heavy holes. This coupling exists even for media differing only by a constant band offset (i.e., with no difference in Bloch functions). [S00...

Analytical expressions are derived for classical trajectories in repulsive Coulomb plus multi-step attractive potentials. Thereafter the closed form expressions are obtained for the classical deflection functions. The expressions are expected to be of use in heavy ion interactions in nuclear physics.

The notion of generating functions of Poisson structures was first studied in [2]. They are special functions which induce, on open subsets of R, a Poisson structure together with the local symplectic groupoid integrating it. A universal generating function was provided in terms of a formal power series coming from Kontsevich star product. The present article proves that this universal generati...