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Simple extension. 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.
SimpleXML. SimpleXML is a PHP extension that allows users to easily [1] [2] manipulate/use XML data. It was introduced in PHP 5 as an object oriented approach to the XML DOM providing an object that can be processed with normal property selectors and array iterators. [3] [4] It represents an easy way of getting an element's attributes and ...
Find out how to identify and correct common sign-in issues like problems with your username and password, account locks, looping logins, and other account access errors. Account Management · Feb 21, 2024. Get answers to your AOL Mail, login, Desktop Gold, AOL app, password and subscription questions. Find the support options to contact ...
A finite extension is an extension that has a finite degree. Given two extensions L / K and M / L, the extension M / K is finite if and only if both L / K and M / L are finite. In this case, one has. Given a field extension L / K and a subset S of L, there is a smallest subfield of L that contains K and S.
Such an extension is called extension by a derivation. If ψ : g → der h is defined by ψ ( μδ )( H ) = μδ ( H ) , then ψ is a Lie algebra homomorphism into der h . Hence this construction is a special case of a semidirect sum, for when starting from ψ and using the construction in the preceding section, the same Lie brackets result.
Galois extension. In mathematics, a Galois extension is an algebraic field extension E / F that is normal and separable; [1] or equivalently, E / F is algebraic, and the field fixed by the automorphism group Aut ( E / F) is precisely the base field F. The significance of being a Galois extension is that the extension has a Galois group and ...
Simple XML. Not to be confused with the SimpleXML PHP extension. Simple XML is a variation of XML containing only elements. All attributes are converted into elements. Not having attributes or other xml elements such as the XML declaration / DTDs allows the use of simple and fast parsers. This format is also compatible with mainstream XML parsers.
Plug-in (computing) Look up plug-in or add-on in Wiktionary, the free dictionary. In computing, a plug-in (or plugin, add-in, addin, add-on, or addon) is a software component that adds a specific feature to an existing computer program. When a program supports plug-ins, it enables customization. [1]