The distribution density of square value probabilities functionality from trajectories of wiener process

In the article authors develop an approach to calculating the statistic development probability for composite functions of square values in Gaussian casual process trajectories. Calculating distribution density for additive composite functions is based on standard Wiener process trajectories. Authors have developed a density formula for uniformly convergent decomposition, with x = 0. The convergence is exponentially fas

The project method in teaching future mathematics teachers

This paper deals with the problem of using the project method in teaching future mathematics teachers. The authors showed that one of such technologies is project training, which involves joint learning and cognitive activity of students, having a common goal, agreed ways of working. This paper notes also the need to use project technology, which consists in developing the ability of future teachers to have an analytical, creative thinking; self-acquisition of missing math knowledge from various sources; thinking, based on knowledge of mathematical facts, the laws of science; and ability to work in a team, performing various social role

Physical modeling of various processes in development of the system for monitoring the concentration of suspended particles in the air

The paper shows the need to develop a system for monitoring the concentration of suspended particles in the atmosphere, ensuring industrial safety at enterprises, facilities and in rooms with high dust content. The main possible consumers of this system are presented. Different measuring techniques of suspended particles and their fractions in the air are described, their advantages and weaknesses are mentione

Multiplicative decomposition and infilite divisibility of the Mandel distribution

yesBSUInfinite divisibility of the Mandel distribution that arises in quantum optics is proved. On the basis of this fact, the multiplicative decomposition of this distribution into the countable convolution of some Poisson distributions is constructe