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Parametric (other)
Parametric may refer to: Mathematics *Parametric equation, a representation of a curve through equations, as functions of a variable * Parametric statistics, a branch of statistics that assumes data has come from a type of probability distribution *Parametric derivative, a type of derivative in calculus *Parametric model, a family of distributions that can be described using a finite number of parameters * Parametric oscillator, a harmonic oscillator whose parameters oscillate in time * Parametric surface, a particular type of surface in the Euclidean space R3 * Parametric family, a family of objects whose definitions depend on a set of parameters Science * Parametric process, in optical physics, any process in which an interaction between light and matter does not change the state of the material * Spontaneous parametric down-conversion, in quantum optics, a source of entangled photon pairs and of single photons *Optical parametric amplifier, a type of laser light source tha ...
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Parametric Equation
In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters. Parametric equations are commonly used to express the coordinates of the points that make up a geometric object such as a curve or surface, in which case the equations are collectively called a parametric representation or parameterization (alternatively spelled as parametrisation) of the object. For example, the equations :\begin x &= \cos t \\ y &= \sin t \end form a parametric representation of the unit circle, where ''t'' is the parameter: A point (''x'', ''y'') is on the unit circle if and only if there is a value of ''t'' such that these two equations generate that point. Sometimes the parametric equations for the individual scalar output variables are combined into a single parametric equation in vectors: :(x, y)=(\cos t, \sin t). Parametric representations are generally nonunique (see the "Examples in two dimensions" section belo ...
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Parametric Contract
Parametric insurance (also called index-based insurance) is a non-traditional insurance product that offers pre-specified payouts based upon a trigger event. Trigger events depend on the nature of the parametric policy and can include environmental triggers such as wind speed and rainfall measurements, business-related triggers such as foot traffic, and more. Examples of current parametric products include the Caribbean Catastrophe Risk Insurance Facility (CCRIF), the African Risk Capacity (ARC), and the protection of coral reefs in the state of Quintana Roo in Mexico. Parametric insurance policies have most frequently been implemented in developing economies, oftentimes for agriculture insurance. In the US, there are proposals to implement parametric policies more often, specifically in the case of flood insurance through the National Flood Insurance Program. Comparison to traditional indemnity insurance Traditional indemnity In contract law, an indemnity is a contractual o ...
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Parametric Array
A parametric array, in the field of acoustics, is a nonlinear transduction mechanism that generates narrow, nearly side lobe-free beams of low frequency sound, through the mixing and interaction of high frequency sound waves, effectively overcoming the diffraction limit (a kind of spatial 'uncertainty principle') associated with linear acoustics. The main side lobe-free beam of low frequency sound is created as a result of nonlinear mixing of two high frequency sound beams at their difference frequency. Parametric arrays can be formed in water, air, and earth materials/rock. History Priority for discovery and explanation of the parametric array owes to Peter J. Westervelt, winner of the Lord Rayleigh Medal (currently Professor Emeritus at Brown University), although important experimental work was contemporaneously underway in the former Soviet Union. According to Muir and Albers, the concept for the parametric array occurred to Dr. Westervelt while he was stationed at the Londo ...
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Parametric Equalizer
Equalization, or simply EQ, in sound recording and reproduction is the process of adjusting the volume of different frequency bands within an audio signal. The circuit or equipment used to achieve this is called an equalizer. Most hi-fi equipment uses relatively simple filters to make bass and treble adjustments. Graphic and parametric equalizers have much more flexibility in tailoring the frequency content of an audio signal. Broadcast and recording studios use sophisticated equalizers capable of much more detailed adjustments, such as eliminating unwanted sounds or making certain instruments or voices more prominent. Since equalizers "adjust the amplitude of audio signals at particular frequencies" they are, "in other words, frequency-specific volume knobs." Equalizers are used in recording studios, radio studios and production control rooms, and live sound reinforcement and in instrument amplifiers, such as guitar amplifiers, to correct or adjust the response of micro ...
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Parametric Determinism
Parametric determinism is a Marxist interpretation of the course of history. It was formulated by Ernest Mandel and can be viewed as one variant of Karl Marx's historical materialism or as a philosophy of history. In an article critical of the analytical Marxism of Jon Elster, Mandel explains the idea as follows: Formal rationality and dialectical reason In formal-logical determinism, human action is considered either rational, and hence logically explicable, or else arbitrary and random (in which case human actions can be comprehended at best only as patterns of statistical distributions, i.e. as degrees of variability relative to some constants). But in dialectical determinism, human action may be non-arbitrary and determinate, hence reasonable, even although it is not explicable exclusively in terms of deductive inference. The action selected by people from a limited range of options may not be the "most logical" or "most optimal" one, but it can be shown to be non-arbitrary ...
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Software Parametric Models
A parametric model is a set of related mathematical equations that incorporates variable parameters. A scenario is defined by selecting a value for each parameter. Software project managers use software parametric models and parametric estimation tools to estimate their projects' duration, staffing and cost. In the early 1980s refinements to earlier models, such as PRICE S and SLIM, and new models, such as SPQR, Checkpoint, ESTIMACS, SEER-SEM or COCOMO and its commercial implementations PCOC, Costimator, GECOMO, COSTAR and Before You Leap emerged. The prime advantage of these models is that they are objective, repeatable, calibrated and easy to use, although calibration to previous experience may be a disadvantage when applied to a significantly different project. These models were highly effective for waterfall model The waterfall model is a breakdown of project activities into linear sequential phases, meaning they are passed down onto each other, where each phase depends on ...
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Parametric Technology Corporation
PTC Inc. (formerly Parametric Technology Corporation) is an American computer software and services company founded in 1985 and headquartered in Boston, Massachusetts. The global technology company has over 6,000 employees across 80 offices in 30 countries, 1,150 technology partners and over $1bn in revenue. The company began developing parametric, associative feature-based, solid computer-aided design (CAD) modeling software in 1988, including an Internet-based product for product lifecycle management (PLM) in 1998. PTC products and services include Internet of things (IoT), augmented reality (AR), and collaboration software. They also do consulting, implementation and training business. History 1985-1999 Russian immigrant and mathematician Samuel P. Geisberg worked at software-design providers Applicon and Computervision prior to forming Parametric Technology Corporation in May 1985. In 1988, the company unveiled its first Unix-based commercial product called Pro/ENGINEER an ...
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Parametric Animation
Parametric animation is an animation technique used in video game graphics that combines two or more separate animations together to form a new composite animation. This new animation is constructed in real-time by the game engine rather than being stored in a separate file. Parametric animations can reduce artist workload during game development and provide a smoother appearance. This technique was first used in an early version of the game Team Fortress 2 ''Team Fortress 2'' is a 2007 multiplayer first-person shooter, first-person shooter game developed and published by Valve Corporation. It is the sequel to the 1996 ''Team Fortress'' Mod (video gaming), mod for ''Quake (video game), Quake'' and .... Motivation In game development, animators are required to create unique animations to reflect actions performed by the player, e.g. shooting, reloading, and jumping. If the player were to jump while shooting, the artist would have two choices: * Allow the game to display the a ...
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Parametric Polymorphism
In programming languages and type theory, parametric polymorphism allows a single piece of code to be given a "generic" type, using variables in place of actual types, and then instantiated with particular types as needed. Parametrically polymorphic functions and data types are sometimes called generic functions and generic datatypes, respectively, and they form the basis of generic programming. Parametric polymorphism may be contrasted with ad hoc polymorphism. Parametrically polymorphic definitions are ''uniform'': they behave identically regardless of the type they are instantiated at. In contrast, ad hoc polymorphic definitions are given a distinct definition for each type. Thus, ad hoc polymorphism can generally only support a limited number of such distinct types, since a separate implementation has to be provided for each type. Basic definition It is possible to write functions that do not depend on the types of their arguments. For example, the identity function \math ...
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Parametric Feature Based Modeler
Solid modeling (or solid modelling) is a consistent set of principles for mathematical and computer modeling of three-dimensional shapes '' (solids)''. Solid modeling is distinguished from related areas of geometric modeling and computer graphics, such as '' 3D modeling'', by its emphasis on physical fidelity. Together, the principles of geometric and solid modeling form the foundation of 3D- computer-aided design and in general support the creation, exchange, visualization, animation, interrogation, and annotation of digital models of physical objects. Overview The use of solid modeling techniques allows for the automation process of several difficult engineering calculations that are carried out as a part of the design process. Simulation, planning, and verification of processes such as machining and assembly were one of the main catalysts for the development of solid modeling. More recently, the range of supported manufacturing applications has been greatly expanded to ...
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Parametric Insurance
Parametric insurance (also called index-based insurance) is a non-traditional insurance product that offers pre-specified payouts based upon a trigger event. Trigger events depend on the nature of the parametric policy and can include environmental triggers such as wind speed and rainfall measurements, business-related triggers such as foot traffic, and more. Examples of current parametric products include the Caribbean Catastrophe Risk Insurance Facility (CCRIF), the African Risk Capacity (ARC), and the protection of coral reefs in the state of Quintana Roo in Mexico. Parametric insurance policies have most frequently been implemented in developing economies, oftentimes for agriculture insurance. In the US, there are proposals to implement parametric policies more often, specifically in the case of flood insurance through the National Flood Insurance Program. Comparison to traditional indemnity insurance Traditional indemnity In contract law, an indemnity is a contractual o ...
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Parametric Search
In the design and analysis of algorithms for combinatorial optimization, parametric search is a technique invented by for transforming a decision algorithm (does this optimization problem have a solution with quality better than some given threshold?) into an optimization algorithm (find the best solution). It is frequently used for solving optimization problems in computational geometry. Technique The basic idea of parametric search is to simulate a ''test algorithm'' that takes as input a numerical parameter X, as if it were being run with the (unknown) optimal solution value X^* as its input. This test algorithm is assumed to behave discontinuously when X=X^*, and to operate on its parameter X only by simple comparisons of X with other computed values, or by testing the sign of low-degree polynomial functions of X. To simulate the algorithm, each of these comparisons or tests needs to be simulated, even though the X of the simulated algorithm is unknown. To simulate each co ...
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