Radical (France)
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Radical (France)
Radical may refer to: Politics and ideology Politics * Radical politics, the political intent of fundamental societal change *Radicalism (historical), the Radical Movement that began in late 18th century Britain and spread to continental Europe and Latin America in the 19th century *Radical Party (other), several political parties *Radicals (UK), a British and Irish grouping in the early to mid-19th century *Radicalization Ideologies * Radical chic, a term coined by Tom Wolfe to describe the pretentious adoption of radical causes *Radical feminism, a perspective within feminism that focuses on patriarchy *Radical Islam, or Islamic extremism *Radical veganism, a radical interpretation of veganism, usually combined with anarchism *Radical Reformation, an Anabaptist movement concurrent with the Protestant Reformation Science and mathematics Science * Radical (chemistry), an atom, molecule, or ion with unpaired valence electron(s) *Radical surgery, where diseased tissue or ly ...
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Radical Politics
Radical politics denotes the intent to transform or replace the principles of a society or political system, often through social change, structural change, revolution or radical reform. The process of adopting radical views is termed radicalisation. The word derives from the Latin ("root") and Late Latin ("of or pertaining to the root, radical"). Historically, political use of the term referred exclusively to a form of progressivism, progressive electoral reformism, now known as classical radicalism, that had developed in Europe during the 18th and 19th centuries. However, the denotation has changed since its 18th century coinage to comprehend the entire political spectrum, though retaining the connotation of "change at the root". History The ''Oxford English Dictionary'' traces usage of 'radical' in a political context to 1783. The ''Encyclopædia Britannica'' records the first political usage of 'radical' as ascribed to Charles James Fox, a Whigs (British political par ...
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Jacobson Radical
In mathematics, more specifically ring theory, the Jacobson radical of a ring R is the ideal consisting of those elements in R that annihilate all simple right R-modules. It happens that substituting "left" in place of "right" in the definition yields the same ideal, and so the notion is left-right symmetric. The Jacobson radical of a ring is frequently denoted by J(R) or \operatorname(R); the former notation will be preferred in this article, because it avoids confusion with other radicals of a ring. The Jacobson radical is named after Nathan Jacobson, who was the first to study it for arbitrary rings in . The Jacobson radical of a ring has numerous internal characterizations, including a few definitions that successfully extend the notion to rings without unity. The radical of a module extends the definition of the Jacobson radical to include modules. The Jacobson radical plays a prominent role in many ring and module theoretic results, such as Nakayama's lemma. Definitio ...
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Radical (Smack Album)
''Radical'' is the fourth and final studio album by Finnish rock band Smack. It was released in 1988. Singles * "Mad Animal Shuffle" * "I Want Somebody" Track listing Original album # "Set Me Free" # "I Want Somebody" # "Little Sister" # "Mad About You" # "You're All I Have" # "Mad Animal Shuffle" # "Street Hog Blues" # "Wonderful Ride" # "Strange Kinda Fever" # "Russian Fields" Personnel * Claude (singer) – vocals * Manchuria (guitarist) – guitar * Rane (guitarist) – guitar * Jimi Sero – bass * Kinde (drummer) – drums A drum kit (also called a drum set, trap set, or simply drums) is a collection of drums, cymbals, and other Percussion instrument, auxiliary percussion instruments set up to be played by one person. The player (drummer) typically holds a pair o ... External links Smack {{Authority control 1988 albums Smack (Finnish band) albums ...
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Radical (Every Time I Die Album)
''Radical'' is the ninth and final studio album by American metalcore band Every Time I Die. It was released on October 22, 2021, and was the band's first studio album in 5 years, since 2016's '' Low Teens'', as well as their first and only release to feature drummer Clayton "Goose" Holyoak. ''Radical'' was named album of the year in 2021 by ''Kerrang!'' Background and release On September 9, 2019, the band confirmed that they had started work on their ninth album. They later announced during the January 2020 UK/EU tour supporting While She Sleeps, that the recording process of the album would start once they returned to the US. The band completed recording before the COVID-19 pandemic escalated in the United States in early 2020, leading them to hold off on releasing the album until they were able to tour in support of it. Vocalist Keith Buckley explained in a recent interview, "I dared myself to make some drastic changes in my life. During the pandemic, everything just came to a ...
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Radical (mixtape)
Odd Future Wolf Gang Kill Them All, better known as Odd Future and often abbreviated as OF, was an American hip-hop music collective formed in Los Angeles County, California in 2007. The original members were Tyler, the Creator, Casey Veggies, Hodgy, Left Brain, Matt Martians, Jasper Dolphin, Travis "Taco" Bennett and Syd. Later members included brandUn DeShay, Pyramid Vritra, Earl Sweatshirt, Domo Genesis, Mike G, Frank Ocean and Na-Kel Smith. Odd Future self-released their debut mixtape, ''The Odd Future Tape'', in 2008, as well as various solo and collaborative projects over the subsequent years. In 2010, they then released their second mixtape, ''Radical'', gaining a significant rise in popularity throughout the early 2010s. Their debut studio album, ''The OF Tape Vol. 2'', was released in 2012. Aside from music, Odd Future had an Adult Swim comedy skit show, '' Loiter Squad'', which ran from 2012 to 2014. Since 2016, the official status of the group has been highly disp ...
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Semitic Root
The roots of verbs and most nouns in the Semitic languages are characterized as a sequence of consonants or " radicals" (hence the term consonantal root). Such abstract consonantal roots are used in the formation of actual words by adding the vowels and non-root consonants (or "transfixes") which go with a particular morphological category around the root consonants, in an appropriate way, generally following specific patterns. It is a peculiarity of Semitic linguistics that a large majority of these consonantal roots are triliterals (although there are a number of quadriliterals, and in some languages also biliterals). Such roots are also common in other Afroasiatic languages. Notably, while Berber mostly has triconsonantal roots, Egyptian and its modern descendant, Coptic, both prefer biradical and monoradical roots. Triconsonantal roots A triliteral or triconsonantal root ( he, שורש תלת-עיצורי, '; ar, جذر ثلاثي, '; syr, ܫܪܫܐ, ') is a root containing ...
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Radical Consonant
A pharyngeal consonant is a consonant that is articulated primarily in the pharynx. Some phoneticians distinguish upper pharyngeal consonants, or "high" pharyngeals, pronounced by retracting the root of the tongue in the mid to upper pharynx, from (ary)epiglottal consonants, or "low" pharyngeals, which are articulated with the aryepiglottic folds against the epiglottis at the entrance of the larynx, as well as from epiglotto-pharyngeal consonants, with both movements being combined. Stops and trills can be reliably produced only at the epiglottis, and fricatives can be reliably produced only in the upper pharynx. When they are treated as distinct places of articulation, the term ''radical consonant'' may be used as a cover term, or the term ''guttural consonants'' may be used instead. In many languages, pharyngeal consonants trigger advancement of neighboring vowels. Pharyngeals thus differ from uvulars, which nearly always trigger retraction. For example, in some dialects of ...
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Radical (Chinese Characters)
A Chinese radical () or indexing component is a graphical component of a Chinese character under which the character is traditionally listed in a Chinese dictionary. This component is often a semantic indicator similar to a morpheme, though sometimes it may be a phonetic component or even an artificially extracted portion of the character. In some cases the original semantic or phonological connection has become obscure, owing to changes in character meaning or pronunciation over time. The English term "radical" is based on an analogy between the structure of characters and inflection of words in European languages. Radicals are also sometimes called "classifiers", but this name is more commonly applied to grammatical classifiers (measure words). History In the earliest Chinese dictionaries, such as the '' Erya'' (3rd century BC), characters were grouped together in broad semantic categories. Because the vast majority of characters are phono-semantic compounds (), comb ...
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Root (linguistics)
A root (or root word) is the core of a word that is irreducible into more meaningful elements. In morphology, a root is a morphologically simple unit which can be left bare or to which a prefix or a suffix can attach. The root word is the primary lexical unit of a word, and of a word family (this root is then called the base word), which carries aspects of semantic content and cannot be reduced into smaller constituents. Content words in nearly all languages contain, and may consist only of, root morphemes. However, sometimes the term "root" is also used to describe the word without its inflectional endings, but with its lexical endings in place. For example, ''chatters'' has the inflectional root or lemma ''chatter'', but the lexical root ''chat''. Inflectional roots are often called stems, and a root in the stricter sense, a root morpheme, may be thought of as a monomorphemic stem. The traditional definition allows roots to be either free morphemes or bound morphemes. Root ...
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Bilinear Form
In mathematics, a bilinear form is a bilinear map on a vector space (the elements of which are called '' vectors'') over a field ''K'' (the elements of which are called ''scalars''). In other words, a bilinear form is a function that is linear in each argument separately: * and * and The dot product on \R^n is an example of a bilinear form. The definition of a bilinear form can be extended to include modules over a ring, with linear maps replaced by module homomorphisms. When is the field of complex numbers , one is often more interested in sesquilinear forms, which are similar to bilinear forms but are conjugate linear in one argument. Coordinate representation Let be an -dimensional vector space with basis . The matrix ''A'', defined by is called the ''matrix of the bilinear form'' on the basis . If the matrix represents a vector with respect to this basis, and analogously, represents another vector , then: B(\mathbf, \mathbf) = \mathbf^\textsf A\mathbf = \ ...
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Nilradical Of A Lie Algebra
In algebra, the nilradical of a Lie algebra is a nilpotent ideal, which is as large as possible. The nilradical \mathfrak(\mathfrak g) of a finite-dimensional Lie algebra \mathfrak is its maximal nilpotent ideal, which exists because the sum of any two nilpotent ideals is nilpotent. It is an ideal in the radical \mathfrak(\mathfrak) of the Lie algebra \mathfrak. The quotient of a Lie algebra by its nilradical is a reductive Lie algebra \mathfrak^. However, the corresponding short exact sequence : 0 \to \mathfrak(\mathfrak g)\to \mathfrak g\to \mathfrak^\to 0 does not split in general (i.e., there isn't always a ''subalgebra'' complementary to \mathfrak(\mathfrak g) in \mathfrak). This is in contrast to the Levi decomposition: the short exact sequence : 0 \to \mathfrak(\mathfrak g)\to \mathfrak g\to \mathfrak^\to 0 does split (essentially because the quotient \mathfrak^ is semisimple). See also * Levi decomposition * Nilradical of a ring In algebra, the nilradical of a commutativ ...
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Radical Of A Lie Algebra
In the mathematical field of Lie theory, the radical of a Lie algebra \mathfrak is the largest solvable ideal of \mathfrak.. The radical, denoted by (\mathfrak), fits into the exact sequence :0 \to (\mathfrak) \to \mathfrak g \to \mathfrak/(\mathfrak) \to 0. where \mathfrak/(\mathfrak) is semisimple. When the ground field has characteristic zero and \mathfrak g has finite dimension, Levi's theorem states that this exact sequence splits; i.e., there exists a (necessarily semisimple) subalgebra of \mathfrak g that is isomorphic to the semisimple quotient \mathfrak/(\mathfrak) via the restriction of the quotient map \mathfrak g \to \mathfrak/(\mathfrak). A similar notion is a Borel subalgebra, which is a (not necessarily unique) maximal solvable subalgebra. Definition Let k be a field and let \mathfrak be a finite-dimensional Lie algebra over k. There exists a unique maximal solvable ideal, called the ''radical,'' for the following reason. Firstly let \mathfrak and \mathfrak be ...
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