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Oleksandr Sharkovsky
Oleksandr Mykolayovych Sharkovsky (; 7 December 1936 – 21 November 2022) was a Ukrainians, Ukrainian mathematician most famous for developing Sharkovsky's theorem on the periods of discrete dynamical systems in 1964. He was a corresponding member of the National Academy of Sciences of Ukraine, Academy of Sciences of the Ukrainian SSR (1978), and academician of the National Academy of Sciences of Ukraine (2006). Prize laureate of the National Academy of Sciences of Ukraine named after M. M. Bogolyubov and M. O. Lavretiev. Life and career In 1952, Sharkovsky's name appeared in the mathematical world - the magazine "Russian Mathematical Surveys", when eighth-grader Oleksandr Sharkovsky became the winner of the Kyiv Mathematical Olympiad for schoolchildren. By his first year in Kyiv National University, he had already written his first scientific work. After graduating with honors from Taras Shevchenko National University of Kyiv he successfully completed postgraduate studies at t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kyiv
Kyiv, also Kiev, is the capital and most populous List of cities in Ukraine, city of Ukraine. Located in the north-central part of the country, it straddles both sides of the Dnieper, Dnieper River. As of 1 January 2022, its population was 2,952,301, making Kyiv the List of European cities by population within city limits, seventh-most populous city in Europe. Kyiv is an important industrial, scientific, educational, and cultural center. It is home to many High tech, high-tech industries, higher education institutions, and historical landmarks. The city has an extensive system of Transport in Kyiv, public transport and infrastructure, including the Kyiv Metro. The city's name is said to derive from the name of Kyi, one of its four legendary founders. During History of Kyiv, its history, Kyiv, one of the oldest cities in Eastern Europe, passed through several stages of prominence and obscurity. The city probably existed as a commercial center as early as the 5th century. A Slav ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Discrete Dynamical System
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space, such as in a parametric curve. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, the random motion of particles in the air, and the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured. Time can be measured by integers, by real or complex numbers or can be a more general algebraic object, losing the memory of its physical origin, and the space may be a manifold or simply a set, without the need of a smooth space-time structure defined on it. At any given time, a dynamical system has a state representing a point in an appropriate state space. This state is often given by a tuple of real number ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Lavrentyev Prize Of National Academy Of Sciences Of Ukraine
''The'' is a grammatical article in English, denoting nouns that are already or about to be mentioned, under discussion, implied or otherwise presumed familiar to listeners, readers, or speakers. It is the definite article in English. ''The'' is the most frequently used word in the English language; studies and analyses of texts have found it to account for seven percent of all printed English-language words. It is derived from gendered articles in Old English which combined in Middle English and now has a single form used with nouns of any gender. The word can be used with both singular and plural nouns, and with a noun that starts with any letter. This is different from many other languages, which have different forms of the definite article for different genders or numbers. Pronunciation In most dialects, "the" is pronounced as (with the voiced dental fricative followed by a schwa) when followed by a consonant sound, and as (homophone of the archaic pronoun ''thee'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bogolyubov Prize (NASU)
The National Academy of Sciences of Ukraine (NASU; , ; ''NAN Ukrainy'') is a self-governing state-funded organization in Ukraine that is the main center of development of science and technology by coordinating a system of research institutes in the country. It is the main research oriented organization along with the five other academies in Ukraine specialized in various scientific disciplines. NAS Ukraine consists of numerous departments, sections, research institutes, scientific centers and various other supporting scientific organizations. The Academy reports on the annual basis to the Cabinet of Ministers of Ukraine. The presidium of the academy is located at vulytsia Volodymyrska, 54, across the street from the Building of Pedagogical Museum, which was used to host the Central Council during the independence period of 1917-18. In 1919–1991 it was a republican branch of the Academy of Sciences of the Soviet Union. Borys Paton. Academy of Sciences of the Ukrainian S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ideal Turbulence
Ideal may refer to: Philosophy * Ideal (ethics), values that one actively pursues as goals * Platonic ideal, a philosophical idea of trueness of form, associated with Plato Mathematics * Ideal (ring theory), special subsets of a ring considered in abstract algebra * Ideal, special subsets of a semigroup * Ideal (order theory), special kind of lower sets of an order * Ideal (set theory), a collection of sets regarded as "small" or "negligible" * Ideal (Lie algebra), a particular subset in a Lie algebra * Ideal point, a boundary point in hyperbolic geometry * Ideal triangle, a triangle in hyperbolic geometry whose vertices are ideal points Science * Ideal chain, in science, the simplest model describing a polymer * Ideal gas law, in physics, governing the pressure of an ideal gas * Ideal transformer, an electrical transformer having zero resistance and perfect magnetic threading * Ideal final result, in TRIZ methodology, the best possible solution * Thought experiment, sometimes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sharkovskii's Theorem
In mathematics, Sharkovskii's theorem (also spelled Sharkovsky, Sharkovskiy, Šarkovskii or Sarkovskii), named after Oleksandr Mykolayovych Sharkovsky, who published it in 1964, is a result about discrete dynamical systems. One of the implications of the theorem is that if a discrete dynamical system on the real line has a periodic point of period 3, then it must have periodic points of every other period. Statement For some interval I\subset \mathbb, suppose that f : I \to I is a continuous function. The number x is called a ''periodic point of period m'' if f^(x)=x, where f^ denotes the iterated function obtained by composition of m copies of f. The number x is said to have ''least period m'' if, in addition, f^(x)\ne x for all 0 |
Dynamical Systems Theory
Dynamical systems theory is an area of mathematics used to describe the behavior of complex systems, complex dynamical systems, usually by employing differential equations by nature of the ergodic theory, ergodicity of dynamic systems. When differential equations are employed, the theory is called continuous time, ''continuous dynamical systems''. From a physical point of view, continuous dynamical systems is a generalization of classical mechanics, a generalization where the equations of motion are postulated directly and are not constrained to be Euler–Lagrange equations of a Principle of least action, least action principle. When difference equations are employed, the theory is called discrete time, ''discrete dynamical systems''. When the time variable runs over a set that is discrete over some intervals and continuous over other intervals or is any arbitrary time-set such as a Cantor set, one gets dynamic equations on time scales. Some situations may also be modeled by mixed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Feofaniya Clinical Hospital
Feofaniya Clinical Hospital () is a hospital of State Management of Affairs of Ukraine which designated to provide medical service to Ukrainian officials. It is located on the southern outskirts of Kyiv next to village of Novosilky of Fastiv Raion. Next to the hospital also is located the Main Astronomical Observatory of the National Academy of Sciences of Ukraine. History The hospital was officially opened on February 9, 1965 at the New Apiary farmstead (Nova Pasika khutir) which is former property of the Kyiv Cave Monastery next to the Holosiiv Forest that is located southward from Kyiv. Since 1934 the farmstead was closed down and the property was vacated. Construction of the new hospital started already in 1961 and in 1965 the Minister of Health Security of Ukraine (Ukrainian SSR) P.Shupyk signed the order #75 to open the hospital of the 4th Administration of Ministry of Health Security. The first patient had attended it on February 17, 1995. The hospital initially had 135 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
