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Pentad Lake
Pentad ('group of 5') or pentade may refer to: *Pentad (chord), a five-note chord *Pentad (computing), or pentade, a 5-bit group *a division of the solar term *Dramatistic pentad, Kenneth Burke's method of analyzing motivation *Medical pentad, a group of five signs or symptoms which characterise a specific medical condition *a tuple of length 5 See also * 5 * Quintet (other) * Tetrad (other) ('group of 4') * Hexad (other) ('group of 6') * Lustrum, a five-year period in Ancient Rome. * Pentadic numerals * ''p''-adic number * Quinary Quinary (base-5 or pental) is a numeral system with 5 (number), five as the radix, base. A possible origination of a quinary system is that there are five finger, digits on either hand. In the quinary place system, five numerals, from 0 (number) ...
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Pentad (chord)
A pentachord in music theory may be either of two things. In pitch-class set theory, a pentachord is defined as any five pitch classes, regarded as an unordered collection . In other contexts, a pentachord may be any consecutive five-note section of a diatonic scale . A pentad is a five-note chord . Under the latter definition, a diatonic scale comprises five non-transpositionally equivalent pentachords rather than seven because the Ionian and Mixolydian pentachords and the Dorian and Aeolian pentachords are intervallically identical (CDEFG=GABCD; DEFGA=ABCDE). The name "pentachord" was also given to a musical instrument, now in disuse, built to the specifications of Sir Edward Walpole. It was demonstrated by Karl Friedrich Abel at his first public concert in London, on 5 April 1759, when it was described as "newly invented" . In the dedication to Walpole of his cello sonatas op. 3, the cellist/composer James Cervetto praised the pentachord, declaring: "I know not a mo ...
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Pentad (computing)
In computing and telecommunications, a unit of information is the capacity of some standard data storage system or communication channel, used to measure the capacities of other systems and channels. In information theory, units of information are also used to measure information contained in messages and the entropy of random variables. The most commonly used units of data storage capacity are the bit, the capacity of a system that has only two states, and the byte (or octet), which is equivalent to eight bits. Multiples of these units can be formed from these with the SI prefixes (power-of-ten prefixes) or the newer IEC binary prefixes (power-of-two prefixes). Primary units In 1928, Ralph Hartley observed a fundamental storage principle, which was further formalized by Claude Shannon in 1945: the information that can be stored in a system is proportional to the logarithm of ''N'' possible states of that system, denoted . Changing the base of the logarithm from ''b'' to a di ...
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Solar Term
A solar term is any of twenty-four periods in traditional Chinese lunisolar calendars that matches a particular astronomical event or signifies some natural phenomenon. The points are spaced 15° apart along the ecliptic and are used by lunisolar calendars to stay synchronized with the seasons, which is crucial for agrarian societies. The solar terms are also used to calculate intercalary months; which month is repeated depends on the position of the sun at the time. According to the '' Book of Documents'', the first determined term was Dongzhi (Winter Solstice) by Dan, the Duke of Zhou, while he was trying to locate the geological center of the Western Zhou dynasty, by measuring the length of the sun's shadow on an ancient timekeeper instrument named Tu Gui (土圭). Then four terms of seasons were set, which were soon evolved as eight terms; until 104 BC in the book Taichu Calendar, the entire twenty-four solar terms were officially included in the Chinese calendar. Because ...
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Dramatistic Pentad
The dramatistic pentad forms the core structure of dramatism, a method for examining motivations that the renowned literary critic Kenneth Burke developed. Dramatism recommends the use of a metalinguistic approach to stories about human action that investigates the roles and uses of five rhetorical elements common to all narratives, each of which is related to a question. These five rhetorical elements form the "dramatistic pentad". Burke argues that an evaluation of the relative emphasis that is given to each of the five elements by a human drama enables a determination of the motive for the behaviour of its characters. A character's stress on one element over the others suggests their world view. Burke introduced the pentad in his 1945 book ''A Grammar of Motives''. Burke based his pentad on the scholastic hexameter which defines "questions to be answered in the treatment of a topic: Who, what, where, by what means, why, how, when". Burke created the pentad by combining several ...
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Medical Pentad
A medical triad is a group of three signs or symptoms, the result of injury to three organs, which characterise a specific medical condition. The appearance of all three signs conjoined together in another patient, points to that the patient has the same medical condition, or diagnosis. A medical tetrad is a group of four, while a pentad is a group of five. Triads Tetrads Pentads See also * Medical eponyms * Pathognomonic * List of eponymously named medical signs Eponymous medical signs are those that are named after a person or persons, usually the physicians who first described them, but occasionally named after a famous patient. This list includes other eponymous entities of diagnostic significance; i.e ... References {{reflist Medical triads and pentads Medical triads Medical pentads ...
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Tuple
In mathematics, a tuple is a finite ordered list (sequence) of elements. An -tuple is a sequence (or ordered list) of elements, where is a non-negative integer. There is only one 0-tuple, referred to as ''the empty tuple''. An -tuple is defined inductively using the construction of an ordered pair. Mathematicians usually write tuples by listing the elements within parentheses "" and separated by a comma and a space; for example, denotes a 5-tuple. Sometimes other symbols are used to surround the elements, such as square brackets "nbsp; or angle brackets "⟨ ⟩". Braces "" are used to specify arrays in some programming languages but not in mathematical expressions, as they are the standard notation for sets. The term ''tuple'' can often occur when discussing other mathematical objects, such as vectors. In computer science, tuples come in many forms. Most typed functional programming languages implement tuples directly as product types, tightly associated with algebr ...
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Quintet (other)
A quintet is a group or formation of five members, particularly musicians Quintet or The Quintet may also refer to: * Quintet (company) was a Japanese video game developer, founded in April 1989. The company name is derived from musical terminology, as well as five elements of game design—planning, graphics, sound, programming and producing. Quintet was most active in the 199 ..., a Japanese video game developer * Honda Quintet, a Honda Civic derived 5-door hatchback * ''Quintet'' (film), a 1979 film directed by Robert Altman * Quintet (grappling), a 5 on 5 tag team Japanese grappling promotion * ''Quintet'' (TV series), a Canadian music variety television series which aired on CBC Television in 1962 * Quintet (Prokofiev), chamber music by Sergei Prokofiev *The Quintet, group that recorded the album '' Jazz at Massey Hall'' * ''The Quintet'' (album), a 1977 album by V.S.O.P. See also * Quintette (other) {{disambiguation ...
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Tetrad (other)
Tetrad ('group of 4') or tetrade may refer to: * Tetrad (area), an area 2 km x 2 km square * Tetrad (astronomy), four total lunar eclipses within two years * Tetrad (chromosomal formation) * Tetrad (general relativity), or frame field ** Tetrad formalism, an approach to general relativity * Tetrad (geometry puzzle), a set of four simply connected disjoint planar regions in the plane * Tetrad (meiosis), the four cells produced by meiotic cell division * Tetrad (music), a set of four notes ** Tetrad (chord), a series of four notes * Tetrad (symbol), or tetractys, a triangular figure of ten points arranged in four rows, and mystical symbol * Medical tetrad, a group of four signs or symptoms which characterise a specific medical condition * Nibble, or tetrade, a 4-bit group * a tuple of length 4 * Tetrad Islands, in the Antarctic See also * * 4 * Triad (other) ('group of 3') * Pentad (other) ('group of 5') * Dark tetrad, group of four undesirable personality t ...
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Hexad (other)
Hexad ('group of 6') or hexade may refer to: * Hexad (musical formation), or sextet * Hexad (chord), a six-note series * Hexad (computing), a 6-bit group See also * * 6 * Sextet (other) *Pentad (other) Pentad ('group of 5') or pentade may refer to: * Pentad (chord), a five-note chord * Pentad (computing), or pentade, a 5-bit group *a division of the solar term *Dramatistic pentad, Kenneth Burke's method of analyzing motivation * Medical pentad, ... ('group of 5') * Heptad (other) ('group of 7') {{disamb ...
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Lustrum
A lūstrum (, plural lūstra) was a term for a five-year period in Ancient Rome. It is distinct from the homograph ''lustrum'' ( ): a haunt of wild beasts (and figuratively, a den of vice), plural ''lustra'' ( ).Oxford Latin Desk Dictionary (2005). Oxford: Oxford University Press. pp. vii, 109 History The lustration was originally a sacrifice for expiation and purification offered by one of the censors in the name of the Roman people at the close of the taking of the census. The sacrifice was often in the form of an animal sacrifice, known as a suovetaurilia. These censuses were taken at five-year intervals, thus a ''lūstrum'' came to refer to the five-year inter-census period. ' (from ', grc, λούω) is a lustration or purification of the whole Roman people performed by one of the censors in the Campus Martius, after the taking of the census was over. As this purification took place only once in five years, the word ''lūstrum'' was also used to designate the time between ...
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P-adic Number
In mathematics, the -adic number system for any prime number  extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems. The extension is achieved by an alternative interpretation of the concept of "closeness" or absolute value. In particular, two -adic numbers are considered to be close when their difference is divisible by a high power of : the higher the power, the closer they are. This property enables -adic numbers to encode congruence information in a way that turns out to have powerful applications in number theory – including, for example, in the famous proof of Fermat's Last Theorem by Andrew Wiles. These numbers were first described by Kurt Hensel in 1897, though, with hindsight, some of Ernst Kummer's earlier work can be interpreted as implicitly using -adic numbers.Translator's introductionpage 35 "Indeed, with hindsight it becomes apparent that a d ...
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