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A counterexample of size 20 for the problem of finding a 3-dimensional stable matching with cyclic preferences

Lerner Eduard Yulevich (2023)

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 ...
A New Method for Slant Calculation in Off-Line Handwriting Analysis

Latypov Rustam Hafizovich; Stolov Evgeni Lvovich (2018)

In this paper, we propose a new method for estimating the slant of word in handwritten text. The method allows a researcher to analyze snippets of a picture containing a few words in different lines. The main goal of the ...
Analysis of the k-ary Euclid for tuples of integers

Ishmukhametov Shamil Talgatovich; Amer Ismail (2019)

In our paper we discuss the k-ary Euclid Algorithm for counting the great common divisor (GCD) of two or more integers and suggest some improvements. This gives us a possibility to parallelize and speed up the calculating ...
Commutation of projections and characterization of traces on von Neumann algebras. III

Бикчентаев Айрат Мидхатович (2015)

Получены условия коммутирования оператора с проектором в терминах операторных неравенств. Даны характеризации следа на С*-алгебрах в классе положительных функционалов и весов.
Concerning the theory of ?-measurable operators affiliated to a semifinite von Neumann algebra

Bikchentaev Airat Midkhatovich (2015)
Conformal radius has unique critical point when pre-Schwarzian derivative is subordinate to classical majorants

Kazantsev Andrei Vitalievich (2021)
Convergence of integrable operators affiliated to a finite von Neumann algebra

Bikchentaev Airat Midkhatovich (2016)

In a Banach space of operators integrable with respect to a tracial state $\tau$ on a von Neumann algebra $M$, convergence is analyzed.
Differences of idempotents in C*-algebras

Bikchentaev Airat Midkhatovich (2017)

We study trace of differences of idempotents in C*-algebras
Differences of idempotents in C*-algebras and the quantum Hall effect

Bikchentaev Airat Midkhatovich (2018)

We investigate differences of idempotents in C*-algebras and the quantum Hall effect
Exact Affine Counter Automata

Nakanishi Masaki; Khadiev Kamil Ravilevich; Prūsis Krišjānis; Vihrovs Jevgenijs; Yakaryılmaz Abuzer (2017)

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 ...
EXCEL: от новичка до продвинутого пользователя

Александрова Ирина Леонидовна; Осипов Евгений Александрович; Филиппова Ирина Алексеевна (2022)

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 ...
Explicit algorithms to solve a class of state constrained parabolic optimal control problems

Lapin Alexander Vasilevich; Laitinen Erkki Uhani (2015)

We consider an optimal control problem of a system governed by a linear parabolic equation with the following features: control is dis-tributed, observation is either distributed or nal, there are constraints on the state ...
Farit Gabidinovich Avkhadiev (on his 70th birthday)

Aksentev Leonid Aleksandrovich; Aptekarev A. I.; Bikchentaev A. M.; Goryainov V. V.; Dubinin V. N.; Elizarov A. M.; Kayumov I. R.; Laptev A.; Nasyrov S. R. (2018)

This article about mathematical results of F.G. Avkhadiev.
Finite element approximation and iterative method solution of elliptic control problem with constraints to gradient of state

Lapin Alexander Vasilevich; Dautov Rafail Zamilovich (2015)

An optimal control problem with distributed control in the right-hand side of Poisson equation is considered. Pointwise constraints on the gradient of state and control are imposed in this problem. The convergence of nite ...
Inequality for a trace on a unital C*-algebra

Bikchentaev Airat Midkhatovich (2016)

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 ...
Integrable products of measurable operators

Bikchentaev Airat Midkhatovich (2016)

Для алгебры фон Неймана с точным нормальным полуконечным следом установлены достаточные условия интегрируемости произведений двух измеримых операторов.
Minimal instances with no weakly stable matching for three-sided problem with cyclic incomplete preferences

Lerner Eduard Yulevich; Lerner Regina Eduardovna (2023)

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 ...
On additivity of mappings on measurable functions

Bikchentaev Airat Midkhatovich (2014)

We prove the additivity of regular l-additive mappings on hereditary cones of measurable functions
On an analog of the M.G. Krein theorem for measurable operators

Bikchentaev Airat Midkhatovich (2018)

Установлен аналог одной теоремы М.Г. Крейна для измеримых операторов, присоединенных к алгебре фон Неймана
On convexity and compactness of operator ``intervals'' on Hilbert space

Bikchentaev Airat Midkhatovich (2018)

We consider a von Neumann algebra $M$ acting on a Hilbert space $H$. For a positive operator $X$ in $M$ we define the operator ``intervals'' $I_X=\{Y=Y^*\in M: \; -X \leq Y \leq X \}$ and $L_X=\{Y \in M: \; |Y| \leq X ...

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