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Leonid Berlyand
Leonid Berlyand is a USSR, Soviet and American mathematician, a professor of Penn State University. He is known for his works on asymptotic homogenization, homogenization, Ginzburg–Landau theory, mathematical modeling of active matter and mathematical foundations of deep learning. Life and career Berlyand was born in Kharkiv, Kharkov on September 20, 1957. His father, Viktor Berlyand, was a mechanical engineer, and his mother, Mayya Genkina, an electronics engineer. Upon his graduation in 1979 from the department of mathematics and mechanics at the University of Kharkiv, National University of Kharkov, he began his doctoral studies at the same university and earned a Ph.D. in 1984. His Ph. D. thesis studied the homogenization of elasticity problems. He worked at the Semenov Institute of Chemical Physics in Moscow, Russia, Moscow. In 1991 he moved to the United States and started working at Pennsylvania State University, where he has served as a full professor since 2003. He ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kharkiv
Kharkiv, also known as Kharkov, is the second-largest List of cities in Ukraine, city in Ukraine.Kharkiv "never had eastern-western conflicts" , ''Euronews'' (23 October 2014) Located in the northeast of the country, it is the largest city of the historic region of Sloboda Ukraine. Kharkiv is the administrative centre of Kharkiv Oblast and Kharkiv Raion. Prior to the Russian invasion of Ukraine in early 2022, it had an estimated population of 1,421,125. Founded in 1654 as a Cossacks, Cossack fortress, by late 19th century Kharkiv had developed within the Russian Empire as a major commercial and industrial centre. From December 1919 to January 1934, Kharkiv was the capital of the Ukrainian Soviet Socialist Rep ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pennsylvania State University
The Pennsylvania State University (Penn State or PSU) is a Public university, public Commonwealth System of Higher Education, state-related Land-grant university, land-grant research university with campuses and facilities throughout Pennsylvania, United States. Founded in 1855 as Farmers' High School of Pennsylvania, Penn State was named the state's first land-grant university eight years later, in 1863. Its primary campus, known as Penn State University Park, is located in State College, Pennsylvania, State College and College Township, Pennsylvania, College Township. Penn State enrolls more than 89,000 students, of which more than 74,000 are undergraduates and more than 14,000 are postgraduates. In addition to its land-grant designation, the university is a National Sea Grant College Program, sea-grant, National Space Grant College and Fellowship Program, space-grant, and one of only six Sun Grant Association, sun-grant universities. It is Carnegie Classification of Instit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Calculus Of Variations
The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in Function (mathematics), functions and functional (mathematics), functionals, to find maxima and minima of functionals: Map (mathematics), mappings from a set of Function (mathematics), functions to the real numbers. Functionals are often expressed as definite integrals involving functions and their derivatives. Functions that maximize or minimize functionals may be found using the Euler–Lagrange equation of the calculus of variations. A simple example of such a problem is to find the curve of shortest length connecting two points. If there are no constraints, the solution is a straight line between the points. However, if the curve is constrained to lie on a surface in space, then the solution is less obvious, and possibly many solutions may exist. Such solutions are known as ''geodesics''. A related problem is posed by Fermat's principle: li ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Partial Differential Equation
In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to how is thought of as an unknown number solving, e.g., an algebraic equation like . However, it is usually impossible to write down explicit formulae for solutions of partial differential equations. There is correspondingly a vast amount of modern mathematical and scientific research on methods to numerically approximate solutions of certain partial differential equations using computers. Partial differential equations also occupy a large sector of pure mathematical research, in which the usual questions are, broadly speaking, on the identification of general qualitative features of solutions of various partial differential equations, such as existence, uniqueness, regularity and stability. Among the many open questions are the existence ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
NATO
The North Atlantic Treaty Organization (NATO ; , OTAN), also called the North Atlantic Alliance, is an intergovernmental organization, intergovernmental Transnationalism, transnational military alliance of 32 Member states of NATO, member states—30 European and 2 North American. Established in the aftermath of World War II, the organization implements the North Atlantic Treaty, signed in Washington, D.C., on 4 April 1949. NATO is a collective security system: its independent member states agree to defend each other against attacks by third parties. During the Cold War, NATO operated as a check on the threat posed by the Soviet Union. The alliance remained in place after the dissolution of the Soviet Union and the Warsaw Pact, and has been involved in military operations in the Balkans, the Middle East, South Asia, and Africa. The organization's motto is . The organization's strategic concepts include Deterrence theory, deterrence. NATO headquarters, NATO's main headquarter ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
United States Department Of Energy
The United States Department of Energy (DOE) is an executive department of the U.S. federal government that oversees U.S. national energy policy and energy production, the research and development of nuclear power, the military's nuclear weapons program, nuclear reactor production for the United States Navy, energy-related research, and energy conservation. The DOE was created in 1977 in the aftermath of the 1973 oil crisis. It sponsors more physical science research than any other U.S. federal agency, the majority of which is conducted through its system of National Laboratories. The DOE also directs research in genomics, with the Human Genome Project originating from a DOE initiative. The department is headed by the secretary of energy, who reports directly to the president of the United States and is a member of the Cabinet. The current secretary of energy is Chris Wright, who has served in the position since February 2025. The department's headquarters are in sou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Applied Mathematics
Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the profession, professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics. History Historically, applied mathematics consisted principally of Mathematical analysis, applied analysis, most notably differential equations; approximation theory (broadly construed, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
NIGMS
The National Institute of General Medical Sciences (NIGMS) is one of the National Institutes of Health (NIH), the principal medical research agency of the United States Federal Government. NIH is a component of the U.S. Department of Health and Human Services. Overview The NIGMS supports basic research that increases understanding of biological processes and lays the foundation for advances in disease diagnosis, treatment, and prevention. NIGMS-funded scientists investigate how living systems work at a range of levels, from molecules and cells to tissues and organs, in research organisms, humans, and populations. Additionally, to ensure the vitality and continued productivity of the research enterprise, NIGMS provides leadership in training the next generation of scientists, in enhancing the diversity of the scientific workforce, and in developing research capacity throughout the country. All NIH Institutes and Centers support basic research that is relevant to the disease ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Science Foundation
The U.S. National Science Foundation (NSF) is an Independent agencies of the United States government#Examples of independent agencies, independent agency of the Federal government of the United States, United States federal government that supports fundamental research and education in all the non-medical fields of science and engineering. Its medical counterpart is the National Institutes of Health. With an annual budget of about $9.9 billion (fiscal year 2023), the NSF funds approximately 25% of all federally supported basic research conducted by the List of American institutions of higher education, United States' colleges and universities. In some fields, such as mathematics, computer science, economics, and the social sciences, the NSF is the major source of federal backing. NSF's director and deputy director are appointed by the president of the United States and Advice and consent, confirmed by the United States Senate, whereas the 24 president-appointed members of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Los Alamos National Laboratory
Los Alamos National Laboratory (often shortened as Los Alamos and LANL) is one of the sixteen research and development Laboratory, laboratories of the United States Department of Energy National Laboratories, United States Department of Energy (DOE), located a short distance northwest of Santa Fe, New Mexico, in the Southwestern United States, American southwest. Best known for its central role in helping develop the First Atomic bomb, first atomic bomb, LANL is one of the world's largest and most advanced scientific institutions. Los Alamos was established in 1943 as Project Y, a top-secret site for designing nuclear weapons under the Manhattan Project during World War II.The site was variously called Los Alamos Laboratory and Los Alamos Scientific Laboratory. Chosen for its remote yet relatively accessible location, it served as the main hub for conducting and coordinating nuclear research, bringing together some of the world's most famous scientists, among them numerous Nobel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Argonne National Laboratory
Argonne National Laboratory is a Federally funded research and development centers, federally funded research and development center in Lemont, Illinois, Lemont, Illinois, United States. Founded in 1946, the laboratory is owned by the United States Department of Energy and administered by UChicago Argonne LLC of the University of Chicago. The facility is the largest national laboratory in the Midwestern United States, Midwest. Argonne had its beginnings in the Metallurgical Laboratory of the University of Chicago, formed in part to carry out Enrico Fermi's work on nuclear reactors for the Manhattan Project during World War II. After the war, it was designated as the first national laboratory in the United States on July 1, 1946. In its first decades, the laboratory was a hub for peaceful use of nuclear physics; nearly all operating commercial nuclear power plants around the world have roots in Argonne research. More than 1,000 scientists conduct research at the laboratory, in the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Max Planck Institute For Mathematics In The Sciences
The Max Planck Institute for Mathematics in the Sciences (MPI MiS) in Leipzig is a research institute of the Max Planck Society. Founded on March 1, 1996, the institute works on projects which apply mathematics in various areas of natural sciences, in particular physics, biology, chemistry and material science. Research groups * Geometry and Complex Systems ( Jürgen Jost) * Pattern formation, energy landscapes and scaling laws ( Felix Otto) * Nonlinear algebra ( Bernd Sturmfels) * Applied analysis () * Geometry, groups and dynamics ( Anna Wienhard) * Discrete sets in geometry (Samantha Fairchild) * Geometry on surfaces (James Reed Farre) * Stochastic partial differential equations () * Mathematical software (Michael Joswig) * Mathematical machine learning (Guido Montúfar) * Learning and inference (Sayan Mukherjee) * Interdisciplinary frontiers of algebraic geometry (İrem Portakal) * Probability and variational methods in PDEs (Tobias Ried) * Mathematical structures in phys ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
