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Simple extension information


In field theory, a simple extension is a field extension that is generated by the adjunction of a single element, called a primitive element. Simple extensions are well understood and can be completely classified.

The primitive element theorem provides a characterization of the finite simple extensions.

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Simple extension

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theory, a simple extension is a field extension that is generated by the adjunction of a single element, called a primitive element. Simple extensions are well...

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Field extension

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single element s, the extension K(s) / K is called a simple extension and s is called a primitive element of the extension. An extension field of the form...

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Radical extension

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extension of a field K is an extension of K that is obtained by adjoining a sequence of nth roots of elements. A simple radical extension is a simple...

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Group extension

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motivation for completing the classification of finite simple groups. An extension is called a central extension if the subgroup N {\displaystyle N} lies in the...

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Simple HTML Ontology Extensions

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In the semantic web, Simple HTML Ontology Extensions are a small set of HTML extensions designed to give web pages semantic meaning by allowing information...

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Primitive element theorem

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primitive element theorem states that every finite separable field extension is simple, i.e. generated by a single element. This theorem implies in particular...

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Stochastic gradient descent

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diverge; setting it too low makes it slow to converge. A conceptually simple extension of stochastic gradient descent makes the learning rate a decreasing...

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Gradient descent

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becoming increasingly well-studied and used in the following decades. A simple extension of gradient descent, stochastic gradient descent, serves as the most...

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Numbering scheme

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using computable functions, to these different types of objects. A simple extension is to assign cardinal numbers to physical objects according to the...

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Antoine equation

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coefficients). To overcome the limits of the Antoine equation some simple extension by additional terms are used: P = exp ⁡ ( A + B C + T + D ⋅ T + E ⋅...

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Google Chrome

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as the Google Chrome Extensions Gallery. Some extensions focus on providing accessibility features. Google Tone is an extension developed by Google that...

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Simple Mail Transfer Protocol

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defined Extended Simple Mail Transfer Protocol (ESMTP), which established a general structure for all existing and future extensions which aimed to add-in...

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Simple Features

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Simple Features (officially Simple Feature Access) is a set of standards that specify a common storage and access model of geographic features made of...

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COM file

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type of simple executable file. On the Digital Equipment Corporation (DEC) VAX operating systems of the 1970s, .COM was used as a filename extension for text...

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SOCKS

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Archived from the original on 2002-02-01. Ying-Da Lee. "SOCKS 4A: A Simple Extension to SOCKS 4 Protocol". OpenSSH. Retrieved 2013-04-03. IANA.org "CURLOPT_PROXY"...

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List of The Simple Life episodes

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complete list of episodes of the American reality television series The Simple Life starring Paris Hilton and Nicole Richie. The series included 54 episodes...

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Legendre sieve

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the number of primes within a given set of integers. Because it is a simple extension of Eratosthenes' idea, it is sometimes called the Legendre–Eratosthenes...

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Glossary of field theory

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a simple extension. Splitting field A field extension generated by the complete factorisation of a polynomial. Normal extension A field extension generated...

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Simple Plan

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Simple Plan is a Canadian rock band from Montreal, Quebec. Formed in 1999, the band's current lineup consists of Pierre Bouvier (lead vocals, studio bass...

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Purely inseparable extension

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purely inseparable extension is called a modular extension if it is a tensor product of simple extensions, so in particular every extension of exponent 1 is...

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Life extension

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Life extension is the concept of extending the human lifespan, either modestly through improvements in medicine or dramatically by increasing the maximum...

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Boundary extension

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with a variety of stimuli. For example, boundary extension happens with simple and complex photos, simple and complex objects, line-drawings, and photos...

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Quasisimple group

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known as a covering group) is a group that is a perfect central extension E of a simple group S. In other words, there is a short exact sequence 1 → Z...

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Separable extension

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E[X]} . This is a simple algebraic extension of degree p, as E = F [ x ] {\displaystyle E=F[x]} , but it is not a normal extension since the Galois group...

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Spatial database

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language and multimedia standard extending the Simple Features. The core functionality add by a spatial extension to a database is one or more spatial datatypes...

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Simple Minds

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Simple Minds are a Scottish rock band formed in Glasgow in 1977. They have released a string of hit singles, becoming best known internationally for "Don't...

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