Parallelism (record Label)
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Parallelism (record Label)
Parallelism may refer to: * Angle of parallelism, in hyperbolic geometry, the angle at one vertex of a right hyperbolic triangle that has two hyperparallel sides * Axial parallelism, a type of motion characteristic of a gyroscope and astronomical bodies * Conscious parallelism or also tacit parallelism, price-fixing between competitors that occurs without any communication between the parties * Parallel computing, the simultaneous execution on multiple processors of different parts of a program ** In the analysis of parallel algorithms, the maximum possible speedup of a computation * Parallel evolution, the independent emergence of a similar trait in different unrelated species * Parallel (geometry), the property of parallel lines * Parallelism (grammar), a balance of two or more similar words, phrases, or clauses * Parallelism (rhetoric), the chief rhetorical device of Biblical poetry in Hebrew * Psychophysical parallelism, the theory that the conscious and nervous processes ...
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Angle Of Parallelism
In hyperbolic geometry, the angle of parallelism \Pi(a) , is the angle at the non-right angle vertex of a right hyperbolic triangle having two asymptotic parallel sides. The angle depends on the segment length ''a'' between the right angle and the vertex of the angle of parallelism. Given a point not on a line, drop a perpendicular to the line from the point. Let ''a'' be the length of this perpendicular segment, and \Pi(a) be the least angle such that the line drawn through the point does not intersect the given line. Since two sides are asymptotically parallel, : \lim_ \Pi(a) = \tfrac\pi\quad\text\quad\lim_ \Pi(a) = 0. There are five equivalent expressions that relate '' \Pi(a)'' and ''a'': : \sin\Pi(a) = \operatorname a = \frac =\frac \ , : \cos\Pi(a) = \tanh a = \frac \ , : \tan\Pi(a) = \operatorname a = \frac = \frac \ , : \tan \left( \tfrac\Pi(a) \right) = e^, : \Pi(a) = \tfrac\pi - \operatorname(a), where sinh, cosh, tanh, sech and cs ...
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Axial Parallelism
Axial parallelism (also known as gyroscopic stiffness, inertia or rigidity, or "rigidity in space") is the characteristic of a spinning body in which the direction of the axis of rotation remains fixed as the object moves through space. In astronomy, this characteristic is found in astronomical bodies in orbit. It is the same effect that causes a gyroscope's axis of rotation to remain constant as the Earth rotates, allowing the devices to measure Earth's rotation. Examples Earth's axial parallelism The Earth's orbit, with its Axial tilt, axis tilted at 23.5 degrees, exhibits approximate axial parallelism, maintaining its direction towards Polaris (the "North Star") year-round. Together with the Earth's axial tilt, this is one of the primary reasons for the Earth's seasons, as illustrated by the diagram to the right. Minor variation in the direction of the axis, known as axial precession, takes place over the course of 26,000 years. As a result, over the next 11,000 years the Eart ...
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Conscious Parallelism
Tacit collusion is a collusion between competitors, which do not explicitly exchange information and achieving an agreement about coordination of conduct. There are two types of tacit collusion - concerted action and conscious parallelism. In a concerted action also known as concerted activity, competitors exchange some information without reaching any explicit agreement, while conscious parallelism implies no communication. In both types of tacit collusion, competitors agree to play a certain strategy ''without explicitly saying so''. It is also referred to as oligopolistic price coordination or tacit parallelism. A dataset of gasoline prices of BP, Caltex, Woolworths, Coles, and Gull from Perth gathered in the years 2001 to 2015 was used to show by statistical analysis the tacit collusion between these retailers. BP emerged as a price leader and influenced the behavior of the competitors. As result, the timing of price jumps became coordinated and the margins started to g ...
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Parallel Computing
Parallel computing is a type of computation in which many calculations or processes are carried out simultaneously. Large problems can often be divided into smaller ones, which can then be solved at the same time. There are several different forms of parallel computing: bit-level, instruction-level, data, and task parallelism. Parallelism has long been employed in high-performance computing, but has gained broader interest due to the physical constraints preventing frequency scaling.S.V. Adve ''et al.'' (November 2008)"Parallel Computing Research at Illinois: The UPCRC Agenda" (PDF). Parallel@Illinois, University of Illinois at Urbana-Champaign. "The main techniques for these performance benefits—increased clock frequency and smarter but increasingly complex architectures—are now hitting the so-called power wall. The computer industry has accepted that future performance increases must largely come from increasing the number of processors (or cores) on a die, rather than m ...
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Analysis Of Parallel Algorithms
In computer science, the analysis of parallel algorithms is the process of finding the computational complexity of algorithms executed in parallel – the amount of time, storage, or other resources needed to execute them. In many respects, analysis of parallel algorithms is similar to the analysis of sequential algorithms, but is generally more involved because one must reason about the behavior of multiple cooperating threads of execution. One of the primary goals of parallel analysis is to understand how a parallel algorithm's use of resources (speed, space, etc.) changes as the number of processors is changed. Background A so-called work-time (WT) (sometimes called work-depth, or work-span) framework was originally introduced by Shiloach and Vishkin for conceptualizing and describing parallel algorithms. In the WT framework, a parallel algorithm is first described in terms of parallel rounds. For each round, the operations to be performed are characterized, but several issue ...
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Parallel Evolution
Parallel evolution is the similar development of a trait in distinct species that are not closely related, but share a similar original trait in response to similar evolutionary pressure.Zhang, J. and Kumar, S. 1997Detection of convergent and parallel evolution at the amino acid sequence level. ''Mol. Biol. Evol.'' 14, 527-36. Parallel vs. convergent evolution Given a particular trait that occurs in each of two lineages descended from a specified ancestor, it is possible in theory to define parallel and convergent evolutionary trends strictly, and distinguish them clearly from one another. However the criteria for defining convergent as opposed to parallel evolution often are unclear in practice, so that arbitrary diagnosis is common in some cases. When two species are similar in a particular character, evolution is defined as parallel if the ancestors shared that similarity; if they did not, the evolution of that character in those species is defined as convergent. However, thi ...
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Parallel (geometry)
In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet. ''Parallel curves'' are curves that do not touch each other or intersect and keep a fixed minimum distance. In three-dimensional Euclidean space, a line and a plane that do not share a point are also said to be parallel. However, two noncoplanar lines are called ''skew lines''. Parallel lines are the subject of Euclid's parallel postulate. Parallelism is primarily a property of affine geometries and Euclidean geometry is a special instance of this type of geometry. In some other geometries, such as hyperbolic geometry, lines can have analogous properties that are referred to as parallelism. Symbol The parallel symbol is \parallel. For example, AB \parallel CD indicates that line ''AB'' is parallel to line ''CD''. In the Unicode character set, the "parallel" and "not parallel" signs have codepoint ...
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Parallelism (grammar)
In grammar, parallelism, also known as parallel structure or parallel construction, is a balance within one or more sentences of similar phrases or clauses that have the same grammatical structure. The application of parallelism affects readability and may make texts easier to process. Parallelism may be accompanied by other figures of speech such as antithesis, anaphora, asyndeton, climax, epistrophe, and symploce. Examples Compare the following examples: All of the above examples are grammatically correct, even if they lack parallelism: "cooking", "jogging", and "to read" are all grammatically valid conclusions to "She likes", for instance. The first nonparallel example has a mix of gerunds and infinitives. To make it parallel, the sentence can be rewritten with all gerunds or all infinitives. The second example pairs a gerund with a regular noun. Parallelism can be achieved by converting both terms to gerunds or to infinitives. The final phrase of the third example does not ...
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Parallelism (rhetoric)
Parallelism is a rhetorical device that compounds words or phrases that have equivalent meanings so as to create a definite pattern. This structure is particularly effective when "specifying or enumerating pairs or series of like things".Corbett and Connors, 1999. p. 46 A scheme of balance, parallelism represents "one of the basic principles of grammar and rhetoric".Corbett and Connors, 1999. p. 45 Parallelism as a rhetorical device is used in many languages and cultures around the world in poetry, epics, songs, written prose and speech, from the folk level to the professional. An entire issue of the journal ''Oral Tradition'' has been devoted to articles on parallelism in languages from all over. It is very often found in Biblical poetry and in proverbs in general. Examples The following sentences and verses possess "similarity in structure" in words and phrases: In the quote above, the compounded adjectives serve as parallel elements and support the noun "law". In the abov ...
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Psychophysical Parallelism
In the philosophy of mind, psychophysical parallelism (or simply parallelism) is the theory that mental and bodily events are perfectly coordinated, without any causal interaction between them. As such, it affirms the correlation of mental and bodily events (since it accepts that when a mental event occurs, a corresponding physical effect occurs as well), but denies a direct cause and effect relation between mind and body. This coordination of mental and bodily events has been postulated to occur either in advance by means of God (as per Gottfried Leibniz's idea of pre-established harmony) or at the time of the event (as in the occasionalism of Nicolas Malebranche) or, finally, according to Baruch Spinoza's ''Ethics'', mind and matter are two of infinite ''attributes'' of the only Substance-God, which go as one without interacting with each other. On this view, mental and bodily phenomena are independent yet inseparable, like two sides of a coin. Overview Psychophysical parallelis ...
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Parallel Harmony
In music, parallel harmony, also known as harmonic parallelism, harmonic planing or parallel voice leading, is the parallel movement of two or more melodies (see voice leading). Illustrative example Lines with parallel harmony can be viewed as a series of chords with the same intervallic structure. Parallel means that each note within the chord rises or falls by the same interval. Examples from works Prominent examples include: * Claude Debussy's '' Beau soir'' (1880), ''Prélude à l'après-midi d'un faune'' (1894), ''Nocturnes'' (1899), '' La Mer'' (1905), ''La cathédrale engloutie'', "Voiles", " Feuilles mortes" * Maurice Ravel's '' Daphnis and Chloë'' Suite No. 2 (1913), "Menuet" from ''Le Tombeau de Couperin'' * Erik Satie's ''Le Fils des étoiles (1892) * Igor Stravinsky's ''The Rite of Spring'' (1913) * Olivier Messiaen's music features abundant planing * Richard Strauss's '' Elektra'' (1909) * Arnold Schoenberg's ''Pierrot lunaire'', "Columbine" (1914) * William ...
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Voicing (music)
In music theory, voicing refers to two closely related concepts: # How a musician or group distributes, or spaces, notes and chords on one or more instruments # The simultaneous vertical placement of notes in relation to each other; this relates to the concepts of spacing and doubling It includes the instrumentation and vertical spacing and ordering of the musical notes in a chord: which notes are on the top or in the middle, which ones are doubled, which octave each is in, and which instruments or voices perform each note. Vertical placement The following three chords are all C-major triads in root position with different voicings. The first is in close position (the most compact voicing), while the second and third are in open position (that is, with wider spacing). Notice also that the G is doubled at the octave in the third chord; that is, it appears in two different octaves. : Examples Many composers, as they developed and gained experience, became more enter ...
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