Hilbert Space
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Hilbert Space
In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers ( and ), formulas and related structures (), shapes and spaces in which they are contained (), and quantities and their changes ( and ). There is no general consensus abo ..., Hilbert spaces (named for David Hilbert David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician This is a List of German mathematician A mathematician is someone who uses an extensive knowledge of mathematics Mathematics (from Ancient Greek, Gr ...) allow generalizing the methods of linear algebra Linear algebra is the branch of mathematics concerning linear equations such as: :a_1x_1+\cdots +a_nx_n=b, linear maps such as: :(x_1, \ldots, x_n) \mapsto a_1x_1+\cdots +a_nx_n, and their representations in vector spaces and through matrix (math ... and calculus Calculus, originally called infinitesimal calculus or "the calculus of infinitesimal In mathematics, infinit ...
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Standing Waves On A String
Standing, also referred to as orthostasis, is a position in which the body is held in an ''erect'' ("orthostatic") position and supported only by the feet. Although seemingly static, the body rocks slightly back and forth from the ankle in the Anatomical terms of location#Planes, sagittal plane. The sagittal plane bisects the body into right and left sides. The sway of quiet standing is often likened to the motion of an inverted pendulum. Standing at attention is a military standing posture, as is stand at ease, but these terms are also used in military-style organisations and in some professions which involve standing, such as Model (person), modeling. ''At ease'' refers to the classic military position of standing with legs slightly apart, not in as formal or regimented a pose as standing at attention. In modeling, ''model at ease'' refers to the model standing with one leg straight, with the majority of the weight on it, and the other leg tucked over and slightly around. Contr ...
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Erhard Schmidt
Erhard Schmidt (13 January 1876 – 6 December 1959) was a Baltic German The Baltic Germans (german: Deutsch-Balten or , later ; and остзейцы ''ostzeitsy'' 'Balters' in Russian) are ethnic German inhabitants of the eastern shores of the Baltic Sea, in what today are Estonia and Latvia Latvia ( o ... mathematician whose work significantly influenced the direction of mathematics in the twentieth century. Schmidt was born in Tartu Tartu (, South Estonian: ''Tarto'') is the second-largest city in Estonia, after the political and financial capital, Tallinn. It is southeast of Tallinn and 245 kilometres (152 miles) northeast of Riga, the capital of Latvia. Tartu lies on th ... (german: link=no, Dorpat), in the Governorate of Livonia The Governorate of Livonia (russian: Лифляндская губерния, Lifljandskaja gubernija; german: Livländisches Gouvernement; lv, Vidzemes guberņa, after the Latvian inhabited Vidzeme region; et, Liivimaa ...
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Generalized Function
In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers ( and ), formulas and related structures (), shapes and spaces in which they are contained (), and quantities and their changes ( and ). There is no general consensus abo ..., generalized functions are objects extending the notion of function Function or functionality may refer to: Computing * Function key A function key is a key on a computer A computer is a machine that can be programmed to carry out sequences of arithmetic or logical operations automatically. Modern comp ...s. There is more than one recognized theory, for example the theory of distributions. Generalized functions are especially useful in making discontinuous function In mathematics Mathematics (from Ancient Greek, Greek: ) includes the study of such topics as quantity (number theory), mathematical structure, structure (algebra), space (geometry), and calculus, change (mathematical analysis, analysis ...
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