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Georgy Voronoy
Georgy Feodosevich Voronyi (; ; 28 April 1868 – 20 November 1908) was an Imperial Russian mathematician of Ukrainians, Ukrainian descent noted for defining the Voronoi diagram. Biography Voronyi was born in the village of Zhuravka, Pyriatyn, in the Poltava Governorate, which was a part of the Russian Empire at that time and is in Varva Raion, Chernihiv Oblast, Ukraine. Beginning in 1889, Voronyi studied at Saint Petersburg State University, Saint Petersburg University, where he was a student of Andrey Markov. In 1894 he defended his master's thesis ''On algebraic integers depending on the roots of an equation of third degree''. In the same year, Voronyi became a professor at the University of Warsaw, where he worked on continued fractions. In 1895 he had a son with his wife Olga Mytrofanivna, named Yurii Voronyi, who later became a noted surgeon. In 1897 he defended his doctoral thesis ''On a generalisation of a continuous fraction''. He was an Invited Speaker of the Internati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Poltava Governorate
Poltava Governorate was an administrative-territorial unit (''guberniya'') of the Russian Empire. It was officially created in 1802 from the disbanded Little Russia Governorate (1796–1802), Little Russia Governorate and had its capital in Poltava. Its borders encompassed the modern Poltava Oblast of Ukraine, in addition to Berestyn, Pereiaslav, Romny and Zolotonosha. It was bordering the Chernigov Governorate, Chernigov and Kursk Governorates to the ''north'', Kiev Governorate to the ''west'', Kharkov Governorate to the ''east'' and the Kherson Governorate, Kherson and Yekaterinoslav Governorates to the ''south''. History In 1802, the Little Russia Governorate (1796–1802), Little Russia Governorate was disbanded and its territory split between the new Chernigov Governorate, Chernigov and Poltava Governorates. The governorate was part of the Ukrainian People's Republic from 1917 to 1920, interrupted in 1918 by the Ukrainian State. After the formation of the Ukrainian SSR ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Continued Fraction
A continued fraction is a mathematical expression that can be written as a fraction with a denominator that is a sum that contains another simple or continued fraction. Depending on whether this iteration terminates with a simple fraction or not, the continued fraction is finite or infinite. Different fields of mathematics have different terminology and notation for continued fraction. In number theory the standard unqualified use of the term continued fraction refers to the special case where all numerators are 1, and is treated in the article simple continued fraction. The present article treats the case where numerators and denominators are sequences \,\ of constants or functions. From the perspective of number theory, these are called generalized continued fraction. From the perspective of complex analysis or numerical analysis, however, they are just standard, and in the present article they will simply be called "continued fraction". Formulation A continued fraction is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Taras Shevchenko National University Of Kyiv
The Taras Shevchenko National University of Kyiv (; also known as Kyiv University, Shevchenko University, or KNU) is a public university in Kyiv, Ukraine. The university is the third-oldest university in Ukraine after the University of Lviv and the University of Kharkiv. Its structure consists of 15 faculties and five institutes. The university was founded in 1834 by Nicholas I of Russia as the Saint Vladimir Imperial University of Kiev; it has since changed its name several times. During the Soviet Union era, Kiev State University was one of the top three universities in the Soviet Union, USSR, along with Moscow State University and Leningrad State University. It is ranked as the best university in Ukraine in many rankings. Its alumni include Mykola Lysenko, Nikolay Bunge, Mykhailo Drahomanov, Mykhailo Hrushevskyi, Nikolai Berdyaev, Mikhail Bulgakov, Ivan Schmalhausen, Theodosius Dobzhansky, Viacheslav Chornovil, and Leonid Kravchuk. The university is named after Taras Shevchenk ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doctor Of Philosophy
A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of Postgraduate education, graduate study and original research. The name of the degree is most often abbreviated PhD (or, at times, as Ph.D. in North American English, North America), pronounced as three separate letters ( ). The University of Oxford uses the alternative abbreviation "DPhil". PhDs are awarded for programs across the whole breadth of academic fields. Since it is an earned research degree, those studying for a PhD are required to produce original research that expands the boundaries of knowledge, normally in the form of a Thesis, dissertation, and, in some cases, defend their work before a panel of other experts in the field. In many fields, the completion of a PhD is typically required for employment as a university professor, researcher, or scientist. Definition In the context o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jagiellonian University
The Jagiellonian University (, UJ) is a public research university in Kraków, Poland. Founded in 1364 by Casimir III the Great, King Casimir III the Great, it is the oldest university in Poland and one of the List of oldest universities in continuous operation, oldest universities in continuous operation in the world. The university grounds contain the Kraków Old Town, a UNESCO World Heritage Site. The university has been viewed as a vanguard of Polish culture as well as a significant contributor to the intellectual heritage of Europe. The campus of the Jagiellonian University is centrally located within the Kraków, city of Kraków. The university consists of thirteen main faculties, in addition to three faculties composing the Jagiellonian University Medical College, Collegium Medicum. It employs roughly 4,000 academics and provides education to more than 35,000 students who study in 166 fields. The main language of instruction is Polish, although around 30 degrees are offer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Blender 3D
Blender is a free and open-source 3D computer graphics software tool set that runs on Windows, macOS, BSD, Haiku, IRIX and Linux. It is used for creating animated films, visual effects, art, 3D-printed models, motion graphics, interactive 3D applications, and virtual reality. It is also used in creating video games. Blender was used to produce the Academy Award-winning film '' Flow'' (2024). History Blender was initially developed as an in-house application by the Dutch animation studio NeoGeo (no relation to the video game brand), and was officially launched on January 2, 1994. Version 1.00 was released in January 1995, with the primary author being the company co-owner and software developer Ton Roosendaal. The name ''Blender'' was inspired by a song by the Swiss electronic band Yello, from the album ''Baby'', which NeoGeo used in its showreel. Some design choices and experiences for Blender were carried over from an earlier software application, called Traces, that Roose ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lie Groups
In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additional properties it must have to be thought of as a "transformation" in the abstract sense, for instance multiplication and the taking of inverses (to allow division), or equivalently, the concept of addition and subtraction. Combining these two ideas, one obtains a continuous group where multiplying points and their inverses is continuous. If the multiplication and taking of inverses are smooth (differentiable) as well, one obtains a Lie group. Lie groups provide a natural model for the concept of continuous symmetry, a celebrated example of which is the circle group. Rotating a circle is an example of a continuous symmetry. For any rotation of the circle, th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Condensed Matter Physics
Condensed matter physics is the field of physics that deals with the macroscopic and microscopic physical properties of matter, especially the solid and liquid State of matter, phases, that arise from electromagnetic forces between atoms and electrons. More generally, the subject deals with condensed phases of matter: systems of many constituents with strong interactions among them. More exotic condensed phases include the superconductivity, superconducting phase exhibited by certain materials at extremely low cryogenic temperatures, the ferromagnetic and antiferromagnetic phases of Spin (physics), spins on crystal lattices of atoms, the Bose–Einstein condensates found in ultracold atomic systems, and liquid crystals. Condensed matter physicists seek to understand the behavior of these phases by experiments to measure various material properties, and by applying the physical laws of quantum mechanics, electromagnetism, statistical mechanics, and other theoretical physics, physic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Meteorology
Meteorology is the scientific study of the Earth's atmosphere and short-term atmospheric phenomena (i.e. weather), with a focus on weather forecasting. It has applications in the military, aviation, energy production, transport, agriculture, construction, weather warnings and disaster management. Along with climatology, atmospheric physics and atmospheric chemistry, meteorology forms the broader field of the atmospheric sciences. The interactions between Earth's atmosphere and its oceans (notably El Niño and La Niña) are studied in the interdisciplinary field of hydrometeorology. Other interdisciplinary areas include biometeorology, space weather and planetary meteorology. Marine weather forecasting relates meteorology to maritime and coastal safety, based on atmospheric interactions with large bodies of water. Meteorologists study meteorological phenomena driven by solar radiation, Earth's rotation, ocean currents and other factors. These include everyday ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geophysics
Geophysics () is a subject of natural science concerned with the physical processes and Physical property, properties of Earth and its surrounding space environment, and the use of quantitative methods for their analysis. Geophysicists conduct investigations across a wide range of scientific disciplines. The term ''geophysics'' classically refers to solid earth applications: Earth's figure of the Earth, shape; its gravitational, Earth's magnetic field, magnetic fields, and electromagnetic fields; its structure of the Earth, internal structure and Earth#Chemical composition, composition; its geodynamics, dynamics and their surface expression in plate tectonics, the generation of magmas, volcanism and rock formation. However, modern geophysics organizations and pure scientists use a broader definition that includes the water cycle including snow and ice; geophysical fluid dynamics, fluid dynamics of the oceans and the atmosphere; atmospheric electricity, electricity and magnetism in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Voronoi Diagrams
In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. It can be classified also as a tessellation. In the simplest case, these objects are just finitely many points in the plane (called seeds, sites, or generators). For each seed there is a corresponding region, called a Voronoi cell, consisting of all points of the plane closer to that seed than to any other. The Voronoi diagram of a set of points is dual to that set's Delaunay triangulation. The Voronoi diagram is named after mathematician Georgy Voronoy, and is also called a Voronoi tessellation, a Voronoi decomposition, a Voronoi partition, or a Dirichlet tessellation (after Peter Gustav Lejeune Dirichlet). Voronoi cells are also known as Thiessen polygons, after Alfred H. Thiessen. Voronoi diagrams have practical and theoretical applications in many fields, mainly in science and technology, but also in visual art. Simplest case In the simplest case, shown in the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
