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Georgy Voronoy
Georgy Feodosevich Voronoy (russian: Георгий Феодосьевич Вороной; ukr, Георгій Феодосійович Вороний; 28 April 1868 – 20 November 1908) was an Russian Empire, Imperial Russian mathematician of Ukraine, Ukrainian descent noted for defining the Voronoi diagram. Biography Voronoy 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, Voronoy 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, Voronoy became a professor at the University of Warsaw, where he worked on continued fractions. In 1897, he defended his doctoral thesis ''On a generalisation of a continuous fraction''. He was an Invite ...
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Poltava Governorate
The Poltava Governorate (russian: Полтавская губерния, Poltavskaya guberniya; ua, Полтавська Губернія, translit=Poltavska huberniia) or Poltavshchyna was a Governorate (Russia), gubernia (also called a province or government) in the historical Left-bank Ukraine region of the Russian Empire. It was officially created in 1802 from the disbanded Little Russia Governorate (1796–1802), Malorossiya Governorate, which was split between the Chernigov Governorate and Poltava Governorate with an administrative center of Poltava. Administrative division It was administered by 15 : *Gadyachsky Uyezd (Gadyach – Гадячъ) (Hadiach) *Zenkovsky Uyezd (Zinkiv, Zenkov – Зеньковъ) (Zinkiv) *Zolotonoshsky Uyezd (Zolotonosha – Золотоноша) *Kobelyaksky Uyezd (Kobeliaky – Кобеляки) *Konstantinogradsky Uyezd (Konstantinograd – Константиноградъ) (modern Krasnohrad) *Kremenchugsky Uyezd (Kremenchug – Кре ...
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Continued Fraction
In mathematics, a continued fraction is an expression (mathematics), expression obtained through an iterative process of representing a number as the sum of its integer part and the multiplicative inverse, reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on. In a finite continued fraction (or terminated continued fraction), the iteration/recursion is terminated after finitely many steps by using an integer in lieu of another continued fraction. In contrast, an infinite continued fraction is an infinite expression (mathematics), infinite expression. In either case, all integers in the sequence, other than the first, must be positive number, positive. The integers a_i are called the coefficients or terms of the continued fraction. It is generally assumed that the numerator of all of the fractions is 1. If arbitrary values and/or function (mathematics), functions are used in place of one or more of the numerat ...
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Ukrainian Hryvnia
The or ( ; uk, гривня , : ''hrn''; sign: ₴; code: UAH) has been the national currency of Ukraine since 2 September 1996. The hryvnia is divided into 100 . It is named after a measure of weight used in medieval Kievan Rus'. Name Etymology The currency of Kievan Rus' in the eleventh century was called ''grivna''. The word is thought to derive from the Slavic ''griva''; c.f. Ukrainian, Russian, Bulgarian, and Serbo-Croatian / ''griva'', meaning "mane". It might have indicated something valuable worn around the neck, usually made of silver or gold; c.f. Bulgarian and Serbian ''grivna'' (, "bracelet"). Later, the word was used to describe silver or gold ingots of a certain weight; c.f. Ukrainian ''hryvenyk'' (). Plural The nominative plural of hryvnia is ''hryvni'' ( uk, гривні), while the genitive plural is ''hryven’'' ( uk, гривень). In Ukrainian, the nominative plural form is used for numbers ending with 2, 3, or 4, as in ''dvi hryvni'' (дві гри ...
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Taras Shevchenko National University Of Kyiv
Kyiv University or Shevchenko University or officially the Taras Shevchenko National University of Kyiv ( uk, Київський національний університет імені Тараса Шевченка), colloquially known as KNU, is located in Kyiv, the capital of Ukraine. The university is universally recognized as the most prestigious university of Ukraine, being the largest national higher education institution. KNU is ranked within top 650 universities in the world. It is the third oldest university in Ukraine after the University of Lviv and University of Kharkiv. Currently, its structure consists of fifteen faculties (academic departments) and five institutes. It was founded in 1834 by the Russian Tsar Nikolai I as the Saint Vladimir Imperial University of Kiev, and since then it has changed its name several times. During the Soviet Union era, Kiev State University was one of the top-three universities in the USSR, along with Moscow State University and Len ...
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Doctor Of Philosophy
A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common Academic degree, degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because 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 defend their work before a panel of other experts in the field. The completion of a PhD is often a requirement for employment as a university professor, researcher, or scientist in many fields. Individuals who have earned a Doctor of Philosophy degree may, in many jurisdictions, use the title ''Doctor (title), Doctor'' (often abbreviated "Dr" or "Dr.") with their name, although the proper etiquette associated with this usage may also be subject to the professional ethics of their own scholarly field, culture, or society. Those who teach at ...
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Jagiellonian University
The Jagiellonian University (Polish: ''Uniwersytet Jagielloński'', UJ) is a public research university in Kraków, Poland. Founded in 1364 by King Casimir III the Great, it is the oldest university in Poland and the 13th oldest university in continuous operation in the world. It is regarded as Poland's most prestigious academic institution. The university has been viewed as a guardian of Polish culture, particularly for continuing operations during the partitions of Poland and the two World Wars, as well as a significant contributor to the intellectual heritage of Europe. The campus of the Jagiellonian University is centrally located within the city of Kraków. The university consists of thirteen main faculties, in addition to three faculties composing the 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 offered in Engli ...
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Blender 3D
Blender is a free and open-source 3D computer graphics software tool set used for creating animated films, visual effects, art, 3D-printed models, motion graphics, interactive 3D applications, virtual reality, and, formerly, video games. Blender's features include 3D modelling, UV mapping, texturing, digital drawing, raster graphics editing, rigging and skinning, fluid and smoke simulation, particle simulation, soft body simulation, sculpting, animation, match moving, rendering, motion graphics, video editing, and compositing. History The Dutch animation studio NeoGeo (not related to Neo Geo video game hardware) started to develop Blender as an in-house application, and based on the timestamps for the first source files, January 2, 1994 is considered to be Blender's birthday. Version 1.00 was released in January 1995, with the primary author being company co-owner and software developer Ton Roosendaal. The name ''Blender'' was inspired by a song by the Swiss electroni ...
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Lie Groups
In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold. 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 (division), or equivalently, the concept of addition and the taking of inverses (subtraction). Combining these two ideas, one obtains a continuous group where multiplying points and their inverses are 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 rotational symmetry in three dimensions (given by the special orthogonal group \text(3)). Lie groups are widely used in many parts of modern mathematics and physics. Lie ...
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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 phases which arise from electromagnetic forces between atoms. More generally, the subject deals with "condensed" phases of matter: systems of many constituents with strong interactions between them. More exotic condensed phases include the superconducting phase exhibited by certain materials at low temperature, the ferromagnetic and antiferromagnetic phases of spins on crystal lattices of atoms, and the Bose–Einstein condensate found in ultracold atomic systems. 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 theories to develop mathematical models. The diversity of systems and phenomena available for study makes condensed matter phy ...
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Meteorology
Meteorology is a branch of the atmospheric sciences (which include atmospheric chemistry and physics) with a major focus on weather forecasting. The study of meteorology dates back millennia, though significant progress in meteorology did not begin until the 18th century. The 19th century saw modest progress in the field after weather observation networks were formed across broad regions. Prior attempts at prediction of weather depended on historical data. It was not until after the elucidation of the laws of physics, and more particularly in the latter half of the 20th century the development of the computer (allowing for the automated solution of a great many modelling equations) that significant breakthroughs in weather forecasting were achieved. An important branch of weather forecasting is marine weather forecasting as it relates to maritime and coastal safety, in which weather effects also include atmospheric interactions with large bodies of water. Meteorological pheno ...
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Geophysics
Geophysics () is a subject of natural science concerned with the physical processes and physical properties of the Earth and its surrounding space environment, and the use of quantitative methods for their analysis. The term ''geophysics'' sometimes refers only to solid earth applications: Earth's shape; its gravitational and magnetic fields; its internal structure and composition; its 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; fluid dynamics of the oceans and the atmosphere; electricity and magnetism in the ionosphere and magnetosphere and solar-terrestrial physics; and analogous problems associated with the Moon and other planets. Gutenberg, B., 1929, Lehrbuch der Geophysik. Leipzig. Berlin (Gebruder Borntraeger). Runcorn, S.K, (editor-in-chief), 1967, International ...
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Voronoi Diagrams
In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. 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. Voronoi diagrams have practical and theoretical applications in many fields, mainly in science and technology, but also in visual art. The simplest case In the simplest case, shown in the first picture, we are given a finite set of points in the Euclidean ...
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