As is known, the problem of finding a three-dimensional stable matching with cyclic preferences (3DSM-CYC) always has a solution, if the number of objects of each type (i.e., the problem size n) does not exceed 5. According ...

Получены условия коммутирования оператора с проектором в терминах операторных неравенств. Даны характеризации следа на С*-алгебрах в классе положительных функционалов и весов.

We study trace of differences of idempotents in C*-algebras

We introduce an affine generalization of counter automata, and analyze their ability as well as affine finite automata. Our contributions are as follows. We show that there is a language that can be recognized by exact ...

Данное пособие составлено в соответствии с современной струк-турой изучения дисциплин и является дополнением к курсу "EXCEL: от новичка до продвинутого пользователя". В пособии рассмотрены задачи по работе с табличными ...

This article about mathematical results of F.G. Avkhadiev.

A new inequality for a trace on a unital C*-algebra is established. It is shown that the inequality obtained characterizes the traces in the class of all positive functionals on a unital C*-algebra/ A new criterion for ...

Given n men, n women, and n dogs, each man has an incomplete preference list of women, each woman has an incomplete preference list of dogs, and each dog has an incomplete preference list of men. We understand a family as ...