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The approximation of complex-valued functions is of fundamental importance as it generalizes classical approximation theory to the complex domain, providing a rigorous framework for amplitude and phase-dependent phenomena. In this paper, we…

Numerical Analysis · Mathematics 2025-11-05 Priyanka Majethiya , Shivam Bajpeyi

The results of Iv. Prodanov on abstract spectra and separative algebras were announced in the journal "Trudy Mat. Inst. Steklova", 154, 1983, 200--208, but their proofs were never written by him in the form of a manuscript, preprint or…

General Topology · Mathematics 2015-07-21 Georgi Dimov , Dimiter Vakarelov

Alexander Andreevich Andrianov was a remarkable personality in Russian physics during the last decades. A member of th prestigious school of theoretical physics in Saint Petersburg, he made relevant contributions to a number of topics along…

History and Philosophy of Physics · Physics 2025-03-07 Domenec Espriu

The U,V method of estimation provides unbiased estimators or predictors of random quantities. The method was introduced by Robbins \citer3 and subsequently studied in a series of papers by Robbins and Zhang. (See Zhang \citer5.) Practical…

Statistics Theory · Mathematics 2009-09-29 Arthur Cohen , Harold Sackrowitz

These reminiscences are about the "dark ages" of algorithmic information theory in the USSR. After a great interest in this topic in 1960s and the beginning of 1970s the number of people working in this area in the USSR decreased…

General Literature · Computer Science 2019-07-12 V. V. V'yugin

This is a brief overview of researches of Dmitry Petrovich Zhelobenko (1934--2006). He is the best known for his book "Compact Lie groups and their representations" and for the classification of all irreducible representations of complex…

History and Overview · Mathematics 2012-11-27 Yu. Neretin , S. Khoroshkin

Appearing in 1921 as an equation for small-amplitude waves on the surface of an infinitely deep liquid, the Nekrasov equation quickly became a source of new results. This manifested itself both in the field of mathematics (theory of…

History and Overview · Mathematics 2021-08-16 Egor Bogatov

We give a translation from Russian into English of the article "In memory of Igor Dmitrievich Ado" written by A.V. Dorodnov and I.I. Sakhaev and published in Izv.\ Vyssh.\ Uchebn.\ Zaved.\ Mat.\ no. 8, (1984), 87--88. It is an orbituary for…

History and Overview · Mathematics 2019-08-23 Dietrich Burde , Vsevolod Gubarev

The concept of contra function was introduced by Dontchev [2], in this work, we use the notion of T*12-open to study a new class of function called a contra-T*12-continuous function as a generalization of contra-continuous.

General Topology · Mathematics 2020-10-15 Hadi J. Mustafa , Layth M. Alabdulsada

We generalize and slight improve the result of I. I. Sharapudinov [Mat. Zametki, 1996, Volume 59, Issue 2, 291--302]. Some applications to the de la Vall\'{e}e Poussin operator will also be given.

Classical Analysis and ODEs · Mathematics 2019-04-08 Wlodzimierz Lenski , Bogdan Szal

This is my contribution to Stephen Hawking's 60th birthday party. Happy Birthday Stephen!

High Energy Physics - Theory · Physics 2007-05-23 Leonard Susskind

Steven Weinberg productive scientific life teaches us many things, one of the most important of which is the power of his example. This essay contains personal reminiscences and a speculation about gravitational wave propagation based on…

High Energy Physics - Theory · Physics 2025-04-03 C. P. Burgess

The paper is dedicated to the memory of prominent theoretical physicist and mathematician Dr. Vadim Kuznetsov who worked, in particular, in the fields of the nonlinear dynamics, separation of variables, integrability theory, special…

Exactly Solvable and Integrable Systems · Physics 2008-04-24 Igor Komarov

The essay is devoted to the personality of the prominent theorist D.V. Volkov and his pioneer works in quantum field theory and elementary particle physics.

History and Philosophy of Physics · Physics 2020-10-09 A. S. Bakai , S. V. Peletminskii , N. F. Shul'ga , Yu. V. Slyusarenko , D. V. Uvarov , A. A. Zheltukhin

Machine intelligence is very successful at standard recognition tasks when having high-quality training data. There is still a significant gap between machine-level pattern recognition and human-level concept learning. Humans can learn…

Artificial Intelligence · Computer Science 2021-03-02 Andreas Holzinger , Anna Saranti , Heimo Mueller

The mathematical analysis was conceived in XVII century in Newton and Leibniz works. The problem of logical rigor in definitions was considered by Arnauld and Nicole in "Logique ou l'art de penser". They were the first, who distinguished…

History and Overview · Mathematics 2015-02-25 G. Sinkevich

Irving John ("Jack") Good (9 December 1916 - 5 April 2009) was one of my greatest heroes and influencers. On Oct. 25, 2009, I gave a twenty-three minute talk with the present title, and this article is an extended transcript of that talk.…

History and Overview · Mathematics 2009-12-03 Doron Zeilberger

Professor M. C. Polivanov and I met only a few times, during my infrequent visits to the-then Soviet Union in the 1970's and 1980's. His hospitality at the Moscow Steclov Institute made the trips a pleasure, while the scientific environment…

High Energy Physics - Theory · Physics 2009-10-22 Roman Jackiw

This short review is dedicated to academician Yakov Borisovich Zeldovich, the science of his epoch and the creation of modern accretion theory.

History and Philosophy of Physics · Physics 2019-01-09 Nikolay Shakura

This is a reply to a comment by P. Schlottmann and A.A. Zvyagin.

Strongly Correlated Electrons · Physics 2007-05-23 Xiang-Yu Ge , Mark D. Gould , Jon Links , Huan-Qiang Zhou