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.
theory, a simpleextension is a field extension that is generated by the adjunction of a single element, called a primitive element. Simpleextensions are well...
single element s, the extension K(s) / K is called a simpleextension and s is called a primitive element of the extension. An extension field of the form...
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...
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...
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...
primitive element theorem states that every finite separable field extension is simple, i.e. generated by a single element. This theorem implies in particular...
diverge; setting it too low makes it slow to converge. A conceptually simpleextension of stochastic gradient descent makes the learning rate a decreasing...
becoming increasingly well-studied and used in the following decades. A simpleextension of gradient descent, stochastic gradient descent, serves as the most...
using computable functions, to these different types of objects. A simpleextension is to assign cardinal numbers to physical objects according to the...
coefficients). To overcome the limits of the Antoine equation some simpleextension by additional terms are used: P = exp ( A + B C + T + D ⋅ T + E ⋅...
as the Google Chrome Extensions Gallery. Some extensions focus on providing accessibility features. Google Tone is an extension developed by Google that...
defined Extended Simple Mail Transfer Protocol (ESMTP), which established a general structure for all existing and future extensions which aimed to add-in...
Simple Features (officially Simple Feature Access) is a set of standards that specify a common storage and access model of geographic features made of...
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...
Archived from the original on 2002-02-01. Ying-Da Lee. "SOCKS 4A: A SimpleExtension to SOCKS 4 Protocol". OpenSSH. Retrieved 2013-04-03. IANA.org "CURLOPT_PROXY"...
complete list of episodes of the American reality television series The Simple Life starring Paris Hilton and Nicole Richie. The series included 54 episodes...
the number of primes within a given set of integers. Because it is a simpleextension of Eratosthenes' idea, it is sometimes called the Legendre–Eratosthenes...
a simpleextension. Splitting field A field extension generated by the complete factorisation of a polynomial. Normal extension A field extension generated...
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...
purely inseparable extension is called a modular extension if it is a tensor product of simpleextensions, so in particular every extension of exponent 1 is...
Life extension is the concept of extending the human lifespan, either modestly through improvements in medicine or dramatically by increasing the maximum...
with a variety of stimuli. For example, boundary extension happens with simple and complex photos, simple and complex objects, line-drawings, and photos...
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...
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...
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...
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...