Lemmas In Number Theory
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Lemmas In Number Theory
Lemma (from Ancient Greek ''premise'', ''assumption'', from Greek ''I take'', ''I get'') may refer to: Language and linguistics * Lemma (morphology), the canonical, dictionary or citation form of a word * Lemma (psycholinguistics), a mental abstraction of a word about to be uttered Science and mathematics * Lemma (botany), a part of a grass plant * Lemma (mathematics), a proven proposition used as a step in a larger proof Other uses * ''Lemma'' (album), by John Zorn (2013) See also * Analemma, a diagram showing the variation of the position of the Sun in the sky * Dilemma * Lema (other) * Lemmatisation *Neurolemma Neurilemma (also known as neurolemma, sheath of Schwann, or Schwann's sheath) is the outermost cell nucleus, nucleated cytoplasmic layer of Schwann cells (also called neurilemmocytes) that surrounds the axon of the neuron. It forms the outermost la ...
, part of a neuron {{Disambiguation ...
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Lemma (morphology)
In morphology and lexicography, a lemma (: lemmas or lemmata) is the canonical form, dictionary form, or citation form of a set of word forms. In English, for example, ''break'', ''breaks'', ''broke'', ''broken'' and ''breaking'' are forms of the same lexeme, with ''break'' as the lemma by which they are indexed. ''Lexeme'', in this context, refers to the set of all the inflected or alternating forms in the paradigm of a single word, and ''lemma'' refers to the particular form that is chosen by convention to represent the lexeme. Lemmas have special significance in highly inflected languages such as Arabic, Turkish, and Russian. The process of determining the ''lemma'' for a given lexeme is called lemmatisation. The lemma can be viewed as the chief of the principal parts, although lemmatisation is at least partly arbitrary. Morphology The form of a word that is chosen to serve as the lemma is usually the least marked form, but there are several exceptions such as the use ...
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Lemma (psycholinguistics)
In psychology, a lemma (: lemmas or lemmata) is an abstract conceptual form of a word that has been mentally selected prior to the early stages of speech production. This concept is used to explain how the process of generating speech occurs. In particular, lemmas are seen as the mental representations of words that are organised and retrieved from memory before they are eventually spoken. A lemma represents a specific meaning but does not have any specific sounds that are attached to it. When a person produces a word, they are essentially turning their thoughts into sounds, a process known as lexicalisation. In many psycholinguistic models this is considered to be at least a two-stage process. The first stage deals with semantics and syntax; the result of the first stage is an abstract notion of a word that represents a meaning and contains information about how the word can be used in a sentence. It does not, however, contain information about how the word is pronounced. The ...
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Lemma (botany)
A spikelet, in botany, describes the typical arrangement of the inflorescences of grasses, sedges and some other monocots. Each spikelet has one or more florets. The spikelets are further grouped into panicles or spikes. The part of the spikelet that bears the florets is called the rachilla. In grasses In Poaceae, the grass family, a spikelet consists of two (or sometimes fewer) bracts at the base, called glumes, followed by one or more florets. A floret consists of the flower surrounded by two bracts, one external (the lemma) and one internal (the palea). The perianth is reduced to two scales, called lodicules, that expand and contract to spread the lemma and palea; these are generally interpreted to be modified sepals. The flowers are usually hermaphroditic — maize being an important exception — and mainly anemophilous or wind-pollinated, although insects occasionally play a role. Lemma Lemma is a phytomorphological term referring to a part of the spikelet. It ...
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Lemma (mathematics)
In mathematics and other fields, a lemma (: lemmas or lemmata) is a generally minor, proven Theorem#Terminology, proposition which is used to prove a larger statement. For that reason, it is also known as a "helping theorem" or an "auxiliary theorem". In many cases, a lemma derives its importance from the theorem it aims to mathematical proof, prove; however, a lemma can also turn out to be more important than originally thought. Etymology From the Ancient Greek λῆμμα, (perfect passive εἴλημμαι) something received or taken. Thus something taken for granted in an argument. Comparison with theorem There is no formal distinction between a lemma and a theorem, only one of intention (see Theorem#Terminology, Theorem terminology). However, a lemma can be considered a minor result whose sole purpose is to help prove a more substantial theorem – a step in the direction of proof. Well-known lemmas Some powerful results in mathematics are known as lemmas, first named for ...
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Lemma (album)
''Lemma'' is an album composed by John Zorn and featuring violinists David Fulmer, Chris Otto and Pauline Kim which as recorded in New York City in 2012 and released on the Tzadik label in February 2013.Tzadik Catalog
accessed October 17, 2013


Reception

Martin Schray stated "Although John Zorn has been widely acclaimed for his music, his compositions in the field of new classical music deserve more attention".Schray, M

''Free Jazz Collective'', September 3, 2013


Track listing

''All compositions by John Zorn'' # "Apophthegms First Set I" – 0:45 # "Apophthegms First Set II" – 1:07 # "Apophthegms First Set III" – 1:44 # "Ap ...
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Analemma
In astronomy, an analemma (; ) is a diagram showing the position of the Sun in the sky as seen from a fixed location on Earth at the same Solar time#Mean solar time, mean solar time over the course of a year. The change of position is a result of the shifting of the angle in the sky of the path that the Sun takes Celestial sphere, in respect to the stars (the ecliptic). The diagram resembles a lemniscate, figure eight. Globes of the Earth often display an analemma as a two-dimensional figure of equation of time ("sun fast") vs. declination of the Sun. The north–south component of the analemma results from the change in the Sun's declination due to the axial tilt, tilt of Earth's Rotation around a fixed axis, axis of rotation as it orbits around the Sun. The east–west component results from the equation of time, nonuniform rate of change of the Sun's right ascension, governed by the combined effects of Earth's axial tilt and its orbital eccentricity. An analemma can be Phot ...
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