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Atle Selberg (14 June 1917 – 6 August 2007) was a Norwegian mathematician known for his work in analytic number theory and the theory of automorphic forms, and in particular for bringing them into relation with spectral theory. He was awarded the Fields Medal in 1950 and an honorary Abel Prize in 2002.
The Wainwright Building in St. Louis, Missouri, designed by Louis Sullivan and built in 1891, is emblematic of his famous maxim "form follows function".. Form follows function is a principle of design associated with late 19th- and early 20th-century architecture and industrial design in general, which states that the appearance and structure of a building or object (architectural form) should ...
Eugenio Elia Levi (18 October 1883 – 28 October 1917) was an Italian mathematician, known for his fundamental contributions in group theory, in the theory of partial differential operators and in the theory of functions of several complex variables. He was a younger brother of Beppo Levi and was killed in action during First World War.
In number theory, Tate's thesis is the 1950 PhD thesis of John Tate () completed under the supervision of Emil Artin at Princeton University.In it, Tate used a translation invariant integration on the locally compact group of ideles to lift the zeta function twisted by a Hecke character, i.e. a Hecke L-function, of a number field to a zeta integral and study its properties.
The first of those books, Classical Form: A Theory of Formal Functions for the Music of Haydn, Mozart, and Beethoven [3] has been widely influential and was a major factor in the revival of interest in musical form in North-American music theory. [4]
* {{Kolmogorov Fomin Elements of the Theory of Functions and Functional Analysis}} and then add a citation by using the markup Some sentence in the body of the article.{{sfn | Kolmogorov | Fomin | 1957 | pp=1-2}} which results in: Some sentence in the body of the article. [1]
HTML Form format HTML 4.01 Specification since PDF 1.5; HTML 2.0 since 1.2 Forms Data Format (FDF) based on PDF, uses the same syntax and has essentially the same file structure, but is much simpler than PDF since the body of an FDF document consists of only one required object. Forms Data Format is defined in the PDF specification (since PDF 1.2).
Diagram of a restricted Boltzmann machine with three visible units and four hidden units (no bias units) A restricted Boltzmann machine (RBM) (also called a restricted Sherrington–Kirkpatrick model with external field or restricted stochastic Ising–Lenz–Little model) is a generative stochastic artificial neural network that can learn a probability distribution over its set of inputs.