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...

the extension K ( s ) / K {\displaystyle K(s)/K} is called a simple extension and s {\displaystyle s} is called a primitive element of the extension. An...

algebraic if and only if both a and b are algebraic. For any α, the simple extension of the rationals by α, denoted by Q ( α ) {\displaystyle \mathbb {Q}...

an nth root of an element from the previous field. A simple radical extension is a simple extension F/K generated by a single element α {\displaystyle \alpha...

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...

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

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

Simple Minds are a Scottish rock band formed in Glasgow in 1977 by Alan Cairnduff as Johnny & The Self-Abusers, with long-standing band members Jim Kerr...

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

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...

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

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...

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

1016/j.icarus.2010.01.017. Perkins, Sid (17 December 2019). "Albedo is a simple concept that plays complicated roles in climate and astronomy". Proceedings...

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...

integral of simple functions can be extended to a more general class of functions, which is how the Lebesgue integral is defined. This extension is based...

version number. RSS now stood for Really Simple Syndication. The major change in this version is an explicit extension mechanism using XML namespaces. Later...

In computing, a script is a relatively short and simple set of instructions that typically automate an otherwise manual process. The act of writing a script...

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

a simple extension to Langton's ant where instead of just two colors, more colors are used. The colors are modified in a cyclic fashion. A simple naming...

conflated. CSV data is often stored in a file with a .csv extension, but sometimes the same extension is used for data delimited by a character other than...

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

Execution speed can be improved by moving speed-critical functions to extension modules written in languages such as C, or by using a just-in-time compiler...

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

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...

simple Lie groups give the atomic "building blocks" that make up all (finite-dimensional) connected Lie groups via the operation of group extension....

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

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

SOAP (originally an acronym for Simple Object Access Protocol) is a messaging protocol specification for exchanging structured information in the implementation...

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