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Alexander Lyapunov
Aleksandr Mikhailovich Lyapunov (russian: Алекса́ндр Миха́йлович Ляпуно́в, ; – 3 November 1918) was a Russian mathematician, mechanician and physicist. His surname is variously romanized as Ljapunov, Liapunov, Liapounoff or Ljapunow. He was the son of the astronomer Mikhail Lyapunov and the brother of the pianist and composer Sergei Lyapunov. Lyapunov is known for his development of the stability theory of a dynamical system, as well as for his many contributions to mathematical physics and probability theory. Biography Early life Lyapunov was born in Yaroslavl, Russian Empire. His father Mikhail Vasilyevich Lyapunov (1820–1868) was an astronomer employed by the Demidov Lyceum. His brother, Sergei Lyapunov, was a gifted composer and pianist. In 1863, M. V. Lyapunov retired from his scientific career and relocated his family to his wife's estate at Bolobonov, in the Simbirsk province (now Ulyanovsk Oblast). After the death of his father in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yaroslavl
Yaroslavl ( rus, Ярослáвль, p=jɪrɐˈsɫavlʲ) is a city and the administrative center of Yaroslavl Oblast, Russia, located northeast of Moscow. The historic part of the city is a World Heritage Site, and is located at the confluence of the Volga and the Kotorosl rivers. It is part of the Golden Ring, a group of historic cities northeast of Moscow that have played an important role in Russian history. Population: Geography Location The city lies in the eastern portion of Yaroslavl Oblast. The nearest large towns are Tutayev ( to the northwest), Gavrilov-Yam ( to the south), and Nerekhta ( to the southeast). The historic center of Yaroslavl lies to the north of the mouth of the Kotorosl River on the right bank of the larger Volga River. The city's entire urban area covers around and includes a number of territories south of the Kotorosl and on the left bank of the Volga. With nearly 600,000 residents, Yaroslavl is, by population, the largest town on the Vol ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mechanician
A mechanician is an engineer or a scientist working in the field of mechanics, or in a related or sub-field: engineering or computational mechanics, applied mechanics, geomechanics, biomechanics, and mechanics of materials. Names other than mechanician have been used occasionally, such as mechaniker and mechanicist. The term mechanician is also used by the Irish Navy to refer to junior engine room ratings. In the British Royal Navy, Chief Mechanicians and Mechanicians 1st Class were Chief Petty Officers, Mechanicians 2nd and 3rd Class were Petty Officers, Mechanicians 4th Class were Leading Ratings, and Mechanicians 5th Class were Able Ratings. The rate was only applied to certain technical specialists and no longer exists. In the New Zealand Post Office, which provided telephone service prior to the formation of Telecom New Zealand in 1987, "Mechanician" was a job classification for workers who serviced telephone exchange switching equipment. The term seems to have originat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ivan Mikhailovich Sechenov
Doctor Ivan Mikhaylovich Sechenov (russian: Ива́н Миха́йлович Се́ченов; , Tyoply Stan (now Sechenovo) near Simbirsk, Russia – , Moscow), was a Russian psychologist, physiologist, and medical scientist. The very famous Russian scientist of human reflexes Pavlov referred to him as the "Father of Russian physiology and scientific psychology" at his time, but today we rather consider Sechenov as scientist in medical physiology, and father of Russian physiology and also researcher in psychology, but also in relation to it in neurological physiology. Sechenov is also considered one of the originators of objective psychology as an attempt to introduce objectiveness in the rather wide Russian psychology field and the many developments in it. Biography Sechenov was born in the village of Tepli Stan, which is now known as Sechenov, Gorky Oblast. He was a son of a nobleman and a peasant. Sechenov was first taught by private tutors and he had mastered Germ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Physiologist
Physiology (; ) is the scientific study of functions and mechanisms in a living system. As a sub-discipline of biology, physiology focuses on how organisms, organ systems, individual organs, cells, and biomolecules carry out the chemical and physical functions in a living system. According to the classes of organisms, the field can be divided into medical physiology, animal physiology, plant physiology, cell physiology, and comparative physiology. Central to physiological functioning are biophysical and biochemical processes, homeostatic control mechanisms, and communication between cells. ''Physiological state'' is the condition of normal function. In contrast, '' pathological state'' refers to abnormal conditions, including human diseases. The Nobel Prize in Physiology or Medicine is awarded by the Royal Swedish Academy of Sciences for exceptional scientific achievements in physiology related to the field of medicine. Foundations Cells Although there are diffe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ulyanovsk Oblast
Ulyanovsk Oblast (russian: Ульяновская область, ''Ul’janovskaja oblast’'') is a federal subject of Russia (an oblast). It is located in the Volga Federal District. Its administrative center is the city of Ulyanovsk. Population: 1,292,799 ( 2010 Census). Geography Ulyanovsk Oblast borders with Chuvashia (N), Tatarstan (NE), Samara Oblast (E), Saratov Oblast (S), Penza Oblast (W), and Mordovia (NW). It is located on the northern edge of Central Steppes. A quarter of its territory is covered with deciduous forests; the rest is covered with steppes and meadows. The oblast is divided in half by the Volga River. Hilly areas to the west of the Volga are known as Volga Upland (elevations up to 358 m (1,175 ft) ). Eastern part of the oblast is mostly flat. The water table occupies about 6% of territory. Ulyanovsk Oblast has moderately continental, highly volatile climate. Temperature averages at +19 °C (66 °F) in July, and −11 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Demidov Lyceum
The Yaroslavl Demidov State University ( Russian: ''Ярославский государственный университет имени П. Г. Демидова'') is an institution of higher education in Yaroslavl, Russia. In 1918, Yaroslavl Demidov State University became a successor university to the Demidov Lyceum, which was founded in 1803. History The Higher School of Sciences Pavel Grigoryevich Demidov established the Demidov Law School by private means in 1803. On June 18, 1803, Alexander the First, signed an Edict to the Senate about opening a higher educational institution in Yaroslavl. At first Demidov has been in contact with the Imperial authorities regarding the foundation of a university in Yaroslavl, even going so far as to promise his own private funding to the new institution; however, when this did not materialise the Imperial government decreed that the school was, upon opening, to have the same status as a university but to carry the title 'higher scho ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Astronomer
An astronomer is a scientist in the field of astronomy who focuses their studies on a specific question or field outside the scope of Earth. They observe astronomical objects such as stars, planets, moons, comets and galaxies – in either observational (by analyzing the data) or theoretical astronomy. Examples of topics or fields astronomers study include planetary science, solar astronomy, the origin or evolution of stars, or the formation of galaxies. A related but distinct subject is physical cosmology, which studies the Universe as a whole. Types Astronomers usually fall under either of two main types: observational and theoretical. Observational astronomers make direct observations of celestial objects and analyze the data. In contrast, theoretical astronomers create and investigate models of things that cannot be observed. Because it takes millions to billions of years for a system of stars or a galaxy to complete a life cycle, astronomers must observe sna ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability Theory
Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms. Typically these axioms formalise probability in terms of a probability space, which assigns a measure taking values between 0 and 1, termed the probability measure, to a set of outcomes called the sample space. Any specified subset of the sample space is called an event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic processes (which provide mathematical abstractions of non-deterministic or uncertain processes or measured quantities that may either be single occurrences or evolve over time in a random fashion). Although it is not possible to perfectly predict random events, much can be said about their behavior. Two major results in probab ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Physics
Mathematical physics refers to the development of mathematical methods for application to problems in physics. The '' Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories". An alternative definition would also include those mathematics that are inspired by physics (also known as physical mathematics). Scope There are several distinct branches of mathematical physics, and these roughly correspond to particular historical periods. Classical mechanics The rigorous, abstract and advanced reformulation of Newtonian mechanics adopting the Lagrangian mechanics and the Hamiltonian mechanics even in the presence of constraints. Both formulations are embodied in analytical mechanics and lead to understanding the deep interplay of the notions of symmetry and conserved quantities during the dynamical evoluti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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. 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 numbers or by a vector in a geometric ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stability Theory
In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation, for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature at a later time as a result of the maximum principle. In partial differential equations one may measure the distances between functions using Lp norms or the sup norm, while in differential geometry one may measure the distance between spaces using the Gromov–Hausdorff distance. In dynamical systems, an orbit is called '' Lyapunov stable'' if the forward orbit of any point is in a small enough neighborhood or it stays in a small (but perhaps, larger) neighborhood. Various criteria have been developed to prove stability or instability of an orbit. Under favorable circumstances, the question may be reduced to a well-studied problem invol ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sergei Lyapunov
Sergei Mikhailovich Lyapunov (or Liapunov; russian: Серге́й Миха́йлович Ляпуно́в, ; 8 November 1924) was a Russian composer, pianist and conductor. Life Lyapunov was born in Yaroslavl in 1859. After the death of his father, Mikhail Lyapunov, when he was about eight, Sergei, his mother, and his two brothers (one of them was Aleksandr Lyapunov, later a notable mathematician) went to live in the larger town of Nizhny Novgorod. There he attended the grammar school along with classes of the newly formed local branch of the Russian Musical Society. On the recommendation of Nikolai Rubinstein, the Director of the Moscow Conservatory of Music, he enrolled in that institution in 1878. His main teachers were Karl Klindworth (piano; a former pupil of Franz Liszt), and Sergei Taneyev (composition; a former pupil of Pyotr Ilyich Tchaikovsky and his successor at the Conservatory). He graduated in 1883, more attracted by the nationalist elements in music of the New ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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