On the Transformations of Symplectic Expansions and the Respective Bäcklund Transformation for the KDV Equation

2000 Mathematics Subject Classification: Primary: 34B40; secondary: 35Q51, 35Q53

Въвеждане на рекурсията чрез абстракция и редици от задачи

Pavel Azalov - Recursion is a powerful technique for producing simple algorithms. It is a main topics in almost every introductory programming course. However, educators often refer to difficulties in learning recursion, and suggest methods for teaching recursion. This paper offers a possible solutions to the problem by (1) expressing the recursive definitions through base operations, which have been predefined as a set of base functions and (2) practising recursion by solving sequences of problems. The base operations are specific for each sequence of problems, resulting in a smooth transitions from recursive definitions to recursive functions. Base functions hide the particularities of the concrete programming language and allows the students to focus solely on the formulation of recursive definitions.

Mixed Negative Binomial Distribution by Weighted Gamma Mixing Distribution

Павел Т. Стойнов - В тази работа се разглежда отрицателно биномното разпределение, известно още като разпределение на Пойа. Предполагаме, че смесващото разпределение е претеглено гама разпределение. Изведени са вероятностите в някои частни случаи. Дадени са рекурентните формули на Панжер.

On the Poisson Process of Order k Space

2010 Mathematics Subject Classification: 60E05, 62P05.