mergefrom Mass noun date October 2010 mergefrom Count noun date October 2010 mergefrom Telicity date October 2010 In linguistics , a quantized expression is such that, whenever it is true of some entity, it is not true of any proper subparts of that entity. Example If something is an apple , then no proper subpart of that thing is an apple . If something is water , then many of its subparts will also be water . Hence, apple is quantized, while water is not. Quantization has proven relevant to the proper characterization of grammatical telicity roughly, sentences that present events as bounded unbounded in time and the mass noun mass count distinction for nouns . The notion was first applied to linguistic semantics by the linguist Manfred Krifka . Formally, a quantization predicate QUA can be defined as follows, where math U math is the universe of discourse , and math F math is a variable over set mathematics sets , and math p math is a mereology mereological part mathematical structure structure on math U math with math p math the mereology mereological part of relation mathematics relation . center math forall F subseteq U p QUA F iff forall x,y F x wedge F y Rightarrow neg x p y math center See also Fewer vs. less References Krifka, Manfred 1989. Nominal reference, temporal constitution and quantification in event semantics. In Renate Bartsch, Johan van Benthem and Peter van Emde Boas eds. , Semantics and Contextual Expressions 75 115. Dordrecht Foris. Category Logic Category Semantics Category Grammar nl Kwantisatie taalkunde ... more details
Wiktionary quantization NOTOC Quantization is the procedure of constraining something from a relatively large or continuous set of values such as the real number s to a relatively small discrete set such as the integer s . Signal processing Quantization signal processing Quantization image processing Quantization sound processing Quantization music Physics Quantization physics Canonical quantization Geometric quantization why the set of choices above? There are also Dirac s, Weyl s and Connes quantizations Discrete spectrum , or otherwise discrete quantity Spatial quantization Charge quantization Noncommutative geometry is IMHO largely irrelevant in a dab page. Quantization physics should contain list of approaches including Connes one Quantization noncommutative mathematics Noncommutative geometry LinguisticsQuantizationlinguistics Similar terms Quantification disambig ar ca Quantificaci es Cuantificaci n fr Quantification it Quantizzazione ko pl Kwantowanie ru sv Kvantisering uk ... more details
About quantization in music other uses Quantization disambiguation Unreferenced date December 2009 In digital music processing technology, quantization is the process of transforming performed musical notes, which may have some imprecision due to expressive performance, to an underlying musical representation that eliminates this imprecision. The process results in notes being set on beats and on exact fractions of beats. The most difficult problem in quantization is determining which rhythmic fluctuations are imprecise or expressive and should be removed by the quantization process and which should be represented in the output score. For instance, a simple children s song should probably have very coarse quantization, resulting in few different outputted notes. On the other hand, quantizing ... notes, tuplets, etc. The most frequent application of quantization in this context lies within MIDI application software or hardware. MIDI sequencers typically include quantization in their manifest of edit ... note to the closest point on the timing grid. The purpose of quantization in music processing is to provide a more beat accurate timing of sounds. Quantization is frequently applied to a record of MIDI notes created by the use of a musical keyboard or drum machine. Quantization in MIDI is usually ... the entire note by moving both messages together. Sometimes quantization is applied in terms of a percentage, to partially align the notes to a certain beat. Using a percentage of quantization allows for the subtle preservation of some natural human timing nuances. In recent years audio quantization ... on modern day records to tighten the playing of drums, guitar, bass etc. The phrase pitch quantization can refer to pitch correction used in audio production, such as Auto Tune . Programs using quantization ... Note value Auto Tune Quantization signal processing Quantization sound processing Quantization image processing DEFAULTSORT Quantization Music Category Music production Sound tech stub nl Quantize ru ... more details
for quantization of general classical theories Canonical quantization About quantization in quantum field theory Quantization disambiguation Quantization Quantum field theory In physics , quantization ... quantum mechanics from classical mechanics . One also speaks of field quantization , as in the quantization ... , nuclear physics , condensed matter physics , and quantum optics . Quantization methods Quantization ... in various amplitudes. The full specification of a quantization procedure requires methods of performing renormalization. The first method to be developed for quantization of field theories was canonical quantization . While this is extremely easy to implement on sufficiently simple theories, there are many situations where other methods of quantization yield more efficient procedures for computing quantum amplitudes. However, the use of canonical quantization has left its mark on the language and interpretation of quantum field theory. Canonical quantization main canonical quantization Canonical quantization of a field theory is analogous to the construction of quantum mechanics from classical ... field theory Second quantization second quantization . This procedure can be applied to the quantization ... value condensates . Covariant canonical quantization It turns out that there is a way to perform a canonical quantization without having to resort to the noncovariant approach of foliating spacetime and choosing ... way as in canonical quantization. Actually, there is a way to quantize actions with analysis ... . Deformation Quantization Main article Weyl quantization . Also see Moyal bracket , Moyal product Star product , and Wigner quasi probability distribution . Geometric quantization See geometric quantization Loop quantization See Loop quantum gravity Path integral quantization see Feynman path ... http daarb.narod.ru wircq eng.html What is Relativistic Canonical Quantization ? Category Fundamental ... theory Category Mathematical quantization Category Mathematical physics ar ca Quantificaci ... more details
Unreferenced date December 2009 A first quantization of a physical system is a semi classical mechanics classical treatment of quantum mechanics , in which particles or physical objects are treated using quantum wave function s but the surrounding environment for example a potential well or a bulk electromagnetic field or gravitational field is treated classically. First quantization is appropriate for studying a single quantum mechanical system being controlled by a laboratory Equipment apparatus that is itself large enough that classical mechanics is applicable to most of the apparatus. First quantization is the subject studied in most undergraduate quantum mechanics courses, and in which the Schrodinger Equation and matrix mechanics Heisenberg matrix mechanics together with bra ket notation are most simply applied. It may be contrasted with Second quantization , which includes quantum mechanical uncertainty effects in all aspects of an experiment including the controlling fields and boundary conditions. DEFAULTSORT First Quantization Category Quantum mechanics Quantum stub de Erste Quantisierung ... more details
Trellis quantization is an algorithm that can improve data compression in Discrete cosine transform DCT based encoding methods. It is used to optimize residual Discrete cosine transform DCT coefficients after Motion compensation Motion estimation motion estimation in lossy compression lossy video compression encoders such as Xvid and x264 . Trellis quantization reduces the size of some DCT coefficients while recovering others to take their place. This process can increase quality because coefficients chosen by Trellis have the lowest Rate distortion rate distortion ratio. Trellis quantization effectively finds the optimal quantization for each block to maximize the PSNR relative to bitrate . It has varying effectiveness depending on the input data and compression method. References http www.doom9.org index.html? xvid vdub final.htm VirtualDub Xvid guide mentioning Trellis quantization http ffmpegx.com options.html FFMPEGx option documentation http akuvian.org src x264 trellis.txt Trellis explanation and pseudocode by the x264 author Category MPEG Category Data compression Category Video compression compu sci stub ru ... more details
value is called quantization error or quantization distortion . This error is either due to rounding or truncation. The error signal is sometimes considered as an additional random signal called quantization noise because of its stochastic behaviour. Quantization error models In the typical case, the original signal is much larger than one Least significant bit LSB . When this is the case, the quantization ... distribution continuous uniform distribution . In the rounding case, the quantization error has a mean ... represents 0.113 of the full signal range. At lower amplitudes the quantization error becomes dependent ... band. In order to make the quantization error independent of the input signal, noise with an amplitude ..., completely eliminates the distortion. It is known as dither . Quantization noise model Image quanterr.png thumb 300px Quantization noise for a 2 bit ADC operating at infinite sample rate . The difference between the blue and red signals in the upper graph is the quantization error, which is added to the quantized signal and is the source of noise. Quantization noise is a Model abstract model of quantization error introduced by quantization signal processing quantization in the Analog .... It can be modelled in several different ways. In an ideal analog to digital converter, where the quantization ... distribution covering all quantization levels, the Signal to quantization noise ratio SQNR can be calculated ... of quantization bits. The most common test signals that fulfill this are full amplitude triangle ... mathrm dB , math Here, the quantization noise is once again assumed to be uniformly distributed. When .... Quantization noise power can be derived from math mathrm N frac delta mathrm v 2 12 mathrm dBW ... of quantization, and to imperfections of the ADC circuitry. On the other hand, specifications often ... ADCs, low level signals in high resolution ADCs, and for simple waveforms the quantization noise is not uniformly ... the quantization noise distribution is strongly affected by the exact amplitude of the signal ... more details
Incomplete date February 2009 Vector quantization is a classical Quantization signal processing quantization technique from signal processing which allows the modeling of probability density functions by the distribution of prototype vectors. It was originally used for data compression . It works by dividing a large set of points coordinate vector vector s into groups having approximately the same number of points closest to them. Each group is represented by its centroid point, as in k means and some other clustering algorithms. The density matching property of vector quantization is powerful ... data correction and density estimation . Vector quantization is based on the competitive learning ... for vector quantization is Pick a sample point at random Move the nearest quantization vector ... Pick a sample point at random Find the quantization vector centroid with the smallest distance sensitivity ... correlated over many samples. Applications Vector quantization is used for lossy data compression ... due to the density matching property of the algorithm . Use in data compression Vector quantization, also called block quantization or pattern matching quantization is often used in lossy data compression ... storage space, so the data is compressed. Due to the density matching property of vector quantization ... of the quantized values. This conserves space and achieves more compression. Twin vector quantization VQF is part of the MPEG 4 standard dealing with time domain weighted interleaved vector quantization. Video codecs based on vector quantization Expand list date August 2008 Cinepak and old versions ... by the MPEG family. Audio codecs based on vector quantization Expand list date August 2008 ... diagram rate distortion function data clustering LVQ Learning Vector Quantization Centroidal Voronoi tessellation Neural gas Growing Neural Gas , a neural network like system for vector quantization ... links http www.data compression.com vq.html http qccpack.sourceforge.net QccPack Quantization, Compression ... more details
In mathematical physics , geometric quantization is a mathematical approach to defining a Quantum mechanics quantum theory corresponding to a given classical theory . It attempts to carry out Quantization physics quantization , for which there is in general no exact recipe, in such a way that certain analogies between the classical theory and the quantum theory remain manifest. For example, the similarity ... equation in classical physics should be built in. One of the earliest attempts at a natural quantization was Weyl quantization , proposed by Hermann Weyl in 1927. Here, an attempt is made to associate ..., this technique leads to deformation quantization , where the product is taken to be a deformation ... quantization scheme, Weyl s map is not satisfactory. For example, the Weyl map of the classical .... The geometric quantization procedure falls into the following three steps prequantization, polarization ... on a symplectic manifold math M math . The quantization is simply math f mapsto f cdot i hbar ... to a vector field X . Geometric quantization of Poisson manifolds and symplectic foliations also is developed ... title Geometric Quantization and Quantum Mechanics publisher Springer isbn 0 387 90496 7 url cite book author N.M.J. Woodhouse year 1991 title Geometric Quantization publisher Clarendon Press isbn ... abs math ph 0208008 William Ritter s review of Geometric Quantization presents a general framework for all problems in physics and fits geometric quantization into this framework http math.ucr.edu home baez quantization.html John Baez s review of Geometric Quantization , by John Baez is short and pedagogical http www.blau.itp.unibe.ch lecturesGQ.ps.gz Matthias Blau s primer on Geometric Quantization ..., N. Roman Roy, Mathematical foundations of geometric quantization, http arxiv.org abs math ph 9904008 arXiv math ph 9904008. Gennadi Sardanashvily G. Sardanashvily , Geometric quantization of symplectic ... Category Mathematical quantization Category Functional analysis de Geometrische Quantisierung fr Quantification ... more details
above In computer graphics , color quantization or color image quantization is a process that reduces ... quantization on bitmaps have been studied since the 1970s. Color quantization is critical for displaying ... quantization is primarily used in computer graphics research literature in applications, terms such as optimized ... the best possible. Algorithms Most standard techniques treat color quantization as a problem of clustering ... clustering algorithm can be applied to color quantization, and vice versa. After the clusters are located ... consistent with perceptual difference. The most popular algorithm by far for color quantization .... Before this time, most color quantization was done using the population algorithm or population ... entry are shown. If the palette is fixed, as is often the case in real time color quantization systems such as those used in operating systems, color quantization is usually done using the straight ... overkill. File Spatial color quantization rainbow, 4 colors.png frame 256px A colorful image reduced to 4 colors using spatial color quantization. Color quantization is frequently combined with dither ... gradients and give the appearance of a larger number of colors. Some modern schemes for color quantization ... color quantization , conceived by Puzicha, Held, Ketterer, Buhmann, and Fellner of the University .... Color quantization helped to justify this tradeoff by making it possible to display many high ... and many other operating systems automatically perform quantization and dithering when viewing high ... hardware. Nowadays, color quantization is mainly used in GIF and Portable Network Graphics PNG images ... , only supports up to 256 colors, necessitating quantization for many images. Some early web browsers ... much smaller in filesize without much visual degradation by application of color quantization, since ... to a digital representation necessarily involves some quantization. In practice, 24 bit color ... colors available on early computers, different quantization algorithms produced very different looking ... more details
Flux quantization is a quantum phenomenon in which the magnetic field is quantized in the unit of math h 2e math , also known variously as flux quanta, fluxoids, vortices or fluxon s. Flux quantization occurs in Type II superconductor s subjected to a magnetic field. Below a critical field H sub c1 sub , all magnetic flux is expulsed according to the Meissner effect and perfect diamagnetism is observed, exactly as in a Type I superconductor . Up to a second critical field value, H sub c2 sub , flux penetrates in discrete units while the bulk of the material remains superconducting. Both critical fields are temperature dependent, and tabulated values are the zero temperature extrapolation unless otherwise noted. See also Flux pinning Magnetic flux quantum Category Superconductivity Category Quantum mechanics ... more details
Quantum field theory In physics , canonical quantization is a procedure for quantization physics quantizing ... to the extent possible in canonical quantization. This method was used in the context ... theory context, it is also called second quantization, in contrast to the semi classical first quantization ... this technique to the Quantization of the electromagnetic field quantization of the electromagnetic ... quantization may have been first coined by Pascual Jordan. Citation needed date May 2010 Quantum ... may be considered a quantum analog of the canonical structure of classical mechanics. Second quantization ... quantization procedure is applied to quantum field theory , the classical field physics ... a theory that was already quantized, leading to the term second quantization in the early literature, which is still used to describe field quantization, even though the modern interpretation is different. One drawback to canonical quantization for a relativistic field is that by relying on the Hamiltonian ... . The details of the canonical quantization depend on the field being quantized, and whether ... quantization procedure. ref This treatment is based primarily on Ch. 1 in cite book last1 ... docs bookwebfinal.pdf ref For simplicity, the quantization can be carried in a 1 ... left frac 1 2 pi 2 frac 1 2 partial x phi 2 frac 1 2 m 2 phi 2 V phi right . math Canonical quantization ... math in one of these vacua may be considered a condensate of the field math phi math . Canonical quantization ... in the Higgs mechanism in the standard model of particle physics . Mathematical quantization The classical ... algebra of operators is an deformation quantization deformation of the algebra of smooth ..., deformations are highly nonunique&mdash quantization is an art , and is specified by the physical ... operators Dirac bracket Moyal bracket Weyl quantization References references Historical References ... Canonical Quantization ? http www.quantumfieldtheory.info Pedagogic Aides to Quantum Field Theory ... more details
Redshift quantization is the hypothesis that the redshift s of cosmologically distant objects in particular galaxy galaxies tend to cluster around multiples of some particular value. Since there is a correlation of cosmic distance ladder distance and redshift as expressed in Hubble s Law , redshift quantization would either indicate a quantization of the distances of galaxies from the Earth or a problem with the redshift distance correlation, either of which would have serious implications for physical cosmology cosmology . Many scientists who oppose the Big Bang theory, including Halton Arp , ref cite book last1 Arp first1 H. year 1998 chapter Quantization of Redshifts url http redshift.vif.com ... of redshift quantization as reason to reject the standard account of the origin and evolution ... of quantization in excess of what is expected due to galaxy cluster ing, ref cite journal last1 ... most cosmologists dispute the existence of redshift quantization beyond a minimal trace due to the distribution of galaxies across voids and filaments. Redshift quantization has also been ... G. Tifft William G. Tifft was the first to investigate possible redshift quantization, or redshift ... Quantization A Review journal Astrophysics and Space Science volume 227 issue 1 2 pages 25 bibcode ... 1980s and early 1990s, four studies on redshift quantization were performed In 1989, Martin R. Croasdale reported finding a quantization of redshifts using a different sample of galaxies in increments ... Image 2dfgrs.png right thumb 300px Rendering of the 2dFGRS data. A strict quantization of redshifts ... quantization of redshifts by some statistical measures. After Tifft made his proposal, discussion ... community became that any quantization was either coincidental or due to so called geometrical ... or apparent quantizations are relics or faithful fossils of a real quantization that occurred in the primordial ... quantization in the 2dF survey and found using Napier s own guidelines for testing redshift ... more details
In mathematics and physics , in the area of quantum mechanics , Weyl quantization is a method for systematically associating a quantum mechanical Hermitian operator with a classical kernel function in phase space invertibly. A synonym is phase space quantization . The crucial correspondence map from phase space functions to Hilbert space operator mathematics operators underlying the method is called the Weyl transformation , not to be confused with a different definition of the Weyl transformation , and was first detailed by Hermann Weyl ref Hermann Weyl H.Weyl , Quantenmechanik und Gruppentheorie , Zeitschrift f r Physik , 46 1927 pp. 1 46, doi 10.1007 BF02055756 . ref in 1927. In some contrast to Weyl s original intentions in seeking a consistent quantization scheme, this map merely amounts to a change of representation . It need not connect classical with quantum quantities the starting phase space function may well depend on Planck s constant . Indeed, in some familiar cases involving angular momentum, it does. The inverse of this Weyl transformation is the Wigner quasi probability distribution The Wigner Weyl transformation Wigner map , which reverts from Hilbert space to the phase ... integrable functions . Deformation quantization Intuitively, a Deformation theory deformation of a mathematical ... setup in deformation quantization theory is to start with an algebraic structure say a Lie algebra ..., one may define a Noncommutative geometry noncommutative torus as a deformation quantization through ... quantization . Insofar as the algebra of functions on a space determines the geometry of that space ... brackets . For the general formula on arbitrary Poisson manifold s, cf. the Kontsevich quantization ... Expectation values in phase space quantization are obtained isomorphically to tracing operator observables ... its uncertainty principle. Generalizations In more generality, Weyl quantization is studied in cases ... theorem References references Category Mathematical quantization Category Mathematical physics Category ... more details
Confusing date December 2006 In theoretical physics , BRST quantization where the BRST refers to Becchi, Rouet, Stora and Tyutin is a relatively rigorous mathematical approach to Quantization physics quantizing a Field theory mathematics field theory with a gauge symmetry . Quantization physics Quantization ..., BRST quantization becomes more than an alternate way to arrive at anomaly cancelling ghosts. It is a different ... whose states are composed of particles according to the rules familiar from the canonical quantization ... formalism . Technical summary BRST quantization or the BRST formalism is a Differential geometry ... Tyutin . Its significance for rigorous canonical quantization of a Yang Mills theory and its correct ... theory lives. One then Quantization physics quantizes the theory to obtain a Hamiltonian system in the interaction ... of QFT, one would have to have said that the Quantization physics quantization and renormalization prescriptions ... relativity , although the latter has proven resistant to quantization so far, for reasons related ... group, beginning with Yang Mills theory , became amenable to quantization in the late 1960s and early ... canonical quantization . Because the definition of the Hamiltonian involves a unit time vector field ... invariant Lagrangian density one also needs the quantization and gauge fixing prescriptions that enter .... The perturbative expansion associated with this Lagrangian, using the method of functional quantization ... 1 gauge to the same set of Feynman rules that one obtains in the method of canonical quantization . But there is an important ... the Feynman rules obtained from naive functional quantization, one finds that one s calculations contain ... Abelian gauge field. From the functional quantization perspective, the unphysical perturbations of the field ... to BRST BRST construction, ref J. M. Figueroa O Farrill and T. Kimura, Geometric BRST Quantization ... of BRST closed Fock states that we like. The desired quantization prescriptions will also provide ... our quantization rules right. The anti ghost is taken to be a Lorentz scalar for the sake of Poincar ... more details
Landau quantization in quantum mechanics is the quantization of the cyclotron orbits of charged particles in magnetic fields. As a result, the charged particles can only occupy orbits with discrete energy values, called Landau levels. The Landau levels are Degenerate energy level degenerate , with the number of electrons per level directly proportional to the strength of the applied magnetic field. Landau quantization is directly responsible for oscillations in electronic properties of materials as a function of the applied magnetic field. It is named after the Soviet physicist Lev Landau . Derivation Consider a two dimensional system of non interacting particles with charge math q math and spin math S math confined to an area math A L x L y math in the x y plane. Apply a uniform magnetic field math mathbf B begin pmatrix 0 0 B end pmatrix math along the z axis. Using CGS units, the Hamiltonian quantum mechanics Hamiltonian of this system is math hat H frac 1 2m hat mathbf p q hat mathbf A c 2. math Here, math hat mathbf p math is the Canonical coordinates canonical momentum operator and math hat mathbf A math is the Magnetic potential electromagnetic vector potential , which is related to the magnetic field by math mathbf B mathbf nabla times mathbf A . , math There is some freedom in the choice of vector potential for a given magnetic field. However, the Hamiltonian is gauge invariance gauge invariant , which means that adding the gradient of a scalar field to A changes the overall phase of the wave function by an amount corresponding to the scalar field. Physical properties are not influenced by the specific choice of gauge. For simplicity in calculation, choose the Landau gauge , which is math hat mathbf A begin pmatrix 0 B hat x 0 end pmatrix . math where math B mathbf ... rise to non standard quantization conditions on the magnetic field, involving in principle both solutions ... in energy of the different Landau levels, blurring the effect of the quantization. In any case, the motion ... more details
Unreferenced date March 2009 In data compression , twin vector quantization is related to vector quantization , but the speed of the quantization is doubled by the secondary vector analyzer. By using a subdimensional vector space useless hyperspace will be destroyed in the process. The formula for calculating the amount of destroyed hyperspace is H x 5.22 4m Category Data compression comp sci stub ... more details
Wikify date August 2010 Orphan date August 2010 VAQ redirects here. For the US navy squadrons numbered VAQ nnn see lookfrom VAQ Variance Adaptive Quantization VAQ is a video encoding algorithm that was first introduced in the popular open source video encoder x264 . It was later ported to programs which encode video content in other video standards, like MPEG 4 ASP or MPEG 2 . In the case of Xvid, the algorithm is intended to make up for the earlier limitations in its Adaptive Quantization signal processing Quantization mode. The first Xvid library containing this improvement was released in February 2008. ref http forum.doom9.org showthread.php?t 135093 VAQ Making Xvid s Adaptive Quantization Not Suck ref References Reflist 1 Tv tech stub Category Signal processing Category Video compression ... more details
saved book title Linguistics subtitle cover image cover color Linguistics Main article Linguistics Description and prescription Linguistic description Linguistic prescription History History of linguistics Schools of study Generative grammar Cognitive linguistics Subbranches of linguistics Phonology Semantics Morphology Discourse analysis Comparative linguistics Lexicology Terminology Translation Interpreting Language acquisition Category Wikipedia books on linguisticsLinguistics ... more details
Infobox Journal title Notes on Linguistics abbreviation NoL cover discipline Linguistics language English website http www.sil.org linguistics nol.htm publisher Summer Institute of Linguistics country United States of America United States history 1975 2001 ISSN 1548 1484 eISSN Notes on Linguistics was a quarterly publication of the International Linguistics Department of the Summer Institute of Linguistics . ref name NoL ref It originated as a subscription journal, from 1975 through 2001, intended to share practical, theoretical, and even administrative information. ref name NoL More specifically, however, it was intended to provide linguistic field workers with news, reviews, announcements, and articles stimulating interest in linguistics and helping them stay current with progress in the discipline. ref name NoL Notes and references Reflist External links http www.sil.org linguistics nol.htm Notes on Linguistics official webpage Summer Institute of Linguistics website, with all back issues offset br journal stub Category Linguistics journals Category Publications established in 1975 Category Publications disestablished in 2001 Category Quarterly journals ... more details
Quantization , involved in image processing , is a lossy compression technique achieved by compressing a range of values to a single quantum value. When the number of discrete symbols in a given stream is reduced, the stream becomes more compressible. For example, reducing the number of colors required to represent a digital image makes it possible to reduce its file size. Specific applications include Discrete cosine transform DCT data quantization in JPEG and Discrete wavelet transform DWT data quantization in JPEG 2000 . FORCETOC Color quantization main Color quantization Color quantization reduces the number of colors used in an image this is important for displaying images on devices that support a limited number of colors and for efficiently compressing certain kinds of images. Most bitmap editors and many operating systems have built in support for color quantization. Popular modern color quantization algorithms include the nearest color algorithm for fixed palettes , the Median cut median cut algorithm , and an algorithm based on octree s. It is common to combine color quantization with dither ing to create an impression of a larger number of colors and eliminate colour banding banding artifacts. Frequency quantization for image compression The human eye is fairly good at seeing small differences in brightness over a relatively large area, but not so good at distinguishing ... tutorial.htm, retrieved 6 Nov 2010. ref Quantization matrices A typical video codec works by breaking ... is then pre multiplied by the quantisation scale code and divided element wise by the quantization matrix, and rounding each resultant element. The quantization matrix is designed to provide more resolution ... & 3 end bmatrix math A common quantization matrix is A source for the common justification would be nice ... & 103 & 99 end bmatrix math Dividing the DCT coefficient matrix element wise with this quantization ... Methods DEFAULTSORT Quantization Image Processing Category Lossy compression algorithms es ... more details
no footnotes date September 2011 Merge Quantization error date December 2009 Signal to Quantization Noise Ratio SQNR or SN sub q sub R is widely used quality measure in analysing digitizing schemes such as PCM Pulse code modulation pulse code modulation and multimedia codec s. The SQNR reflects the relationship between the maximum nominal signal strength and the quantization error also known as quantization noise introduced in the analog to digital conversion . The SQNR formula is derived from the general SNR signal to noise ratio Signal to Noise Ratio formula for the binary pulse code Modulation modulated Channel communications communication channel math mathrm SNR frac 3 times 2 2n 1 4P e times 2 2n 1 frac overline m t 2 m t 2 math where math P e math is the probability of received bit error math m t math is the peak message signal level math overline m t math is the mean message signal level As SQNR applies to quantized signals, the formulae for SQNR refer to discrete time digital signals. Instead of math m t math , we will use the digitized signal math x n math . For math N math quantization steps, each sample, math x math requires math nu log 2 N math bits. The probability distribution function pdf representing the distribution of values in math x math and can be denoted as math f x math . The maximum magnitude value of any math x math is denoted by math x max math . As SQNR, like SNR, is a ratio of signal power to some noise power, it can be calculated as math mathrm SQNR frac P signal P noise frac E x 2 E tilde x 2 math The signal power is math overline x 2 E x 2 P x nu int x 2f x dx math The quantization noise power can be expressed as math E tilde x 2 frac x max 2 3 times4 nu math Giving math mathrm SQNR frac 3 times 4 nu overline x 2 x max 2 math When the SQNR ... 2007 03 19 signal to quantization noise in quantized sinusoidal Signal to quantization noise in quantized sinusoidal Analysis of quantization error on a sine wave Noise Category Digital audio Category ... more details
Clinical Linguistics is a sub discipline of linguistics which involves the application of Theoretical linguistics linguistic theory to the field of Speech Language Pathology . Clinical linguistics, a branch of applied linguistics, is the use of linguistics to describe, analyze, and treat language disabilities. The study of linguistic aspect of communication disorders is of relevance to a broader understanding of language and linguistics linguistic theory. The International Clinical Phonetics and Linguistics Association is the unofficial organisation of the field, and was formed in 1991. The journal of Clinical Linguistics and Phonetics is the major research journal of the field and was founded by Martin J. Ball . Practitioners of clinical linguistics typically work in Speech Language Pathology departments or linguistics departments. They conduct research with the aims of i improving the assessment, treatment, and analysis of disordered speech language, and ii offering insights to formal linguistic theories. External links http www.davidcrystal.com DC articles Clinical26.pdf Crystal, David The Past, Present, and Future of Clinical Linguistics pdf http www.davidcrystal.com DC articles Clinical2.pdf Crystal, David Clinical Linguistics pdf http www.informaworld.com smpp title db all content t713693308 The journal of Clinical Linguistics and Phonetics http www.emcl mundus.com The European Master s in Clinical Linguistics Category Applied linguistics Ling stub bn ca Ling stica cl nica de Klinische Linguistik ... more details
Orphan date October 2008 In theoretical physics , light front quantization refers to a specific choice of the initial degrees of freedom i.e. canonical coordinates and their momenta. While the usual option in field theory physics field theory is to determine their value at a particular value of time, math t x 0 math , light cone quantization is based on null slices and the initial conditions are determined by the values of all fields at a constant value of math x x 0 x 3 math . The equal time slice is a light like hypersurface. See also light cone gauge that is usually imposed simultaneously . Category Theoretical physics phys stub ... more details
In linguistics , locality refers to the proximity of elements of a linguistic structure. Theories of transformational grammar attempt to explain restrictions on syntactic movement using syntactic locality constraints. linguistics stub Category Syntax ... more details
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