Dilation (other)
Dilation (or dilatation) may refer to: Physiology or medicine * Cervical dilation, the widening of the cervix in childbirth, miscarriage etc. * Coronary dilation, or coronary reflex * Dilation and curettage, the opening of the cervix and surgical removal of the contents of the uterus * Dilation and evacuation, the dilation of the cervix and evacuation of the contents of the uterus * Esophageal dilatation, a procedure for widening a narrowed esophagus * Pupillary dilation (also called mydriasis), the widening of the pupil of the eye * Vasodilation, the widening of luminal diameter in blood vessels Mathematics * Dilation (affine geometry), an affine transformation * Dilation (metric space), a function from a metric space into itself * Dilation (operator theory), a dilation of an operator on a Hilbert space * Dilation (morphology), an operation in mathematical morphology * Scaling (geometry), including: ** Homogeneous dilation (homothety), the scalar multiplication operator on a ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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ICD-10-PCS
The ICD-10 Procedure Coding System (ICD-10-PCS) is an international system of medical classification used for procedural codes, procedural coding. The Centers for Medicare and Medicaid Services, the agency responsible for maintaining the inpatient procedure code set in the U.S., contracted with 3M Health Information Systems in 1995 to design and then develop a procedure classification system to replace Volume 3 of ICD-9-CM. ICD-9-CM contains a procedure classification; ICD-10-CM does not. ICD-10-PCS is the result. ICD-10-PCS was initially released in 1998. It has been updated annually since that time. Section structure Each code consists of seven alphanumeric characters. The first character is the 'section'. The second through seventh characters mean different things in each section. Each character can be any of 34 possible values the ten digits 0-9 and the 24 letters A-H, J-N and P-Z may be used in each character. The letters O and I are excluded to avoid confusion with the numbers ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dilation (operator Theory)
In operator theory, a dilation of an operator ''T'' on a Hilbert space ''H'' is an operator on a larger Hilbert space ''K'', whose restriction to ''H'' composed with the orthogonal projection onto ''H'' is ''T''. More formally, let ''T'' be a bounded operator on some Hilbert space ''H'', and ''H'' be a subspace of a larger Hilbert space '' H' ''. A bounded operator ''V'' on '' H' '' is a dilation of T if :P_H \; V , _H = T where P_H is an orthogonal projection on ''H''. ''V'' is said to be a unitary dilation (respectively, normal, isometric, etc.) if ''V'' is unitary (respectively, normal, isometric, etc.). ''T'' is said to be a compression of ''V''. If an operator ''T'' has a spectral set X, we say that ''V'' is a normal boundary dilation or a normal \partial X dilation if ''V'' is a normal dilation of ''T'' and \sigma(V)\subseteq \partial X. Some texts impose an additional condition. Namely, that a dilation satisfy the following (calculus) property: :P_H \; f(V) , _H = f(T ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dilate (musical Project)
Dilate was an ambient solo project begun in 1996 by composer and synthesizer player Victor Wulf, formerly of the sound collage and industrial music band Vampire Rodents. Wulf released the studio album's ''Cyclos'' and ''Octagon'' for Hypnotic Records in 1996 and 1997 respectively. History Dilate was started by composer Victor Wulf after parting ways with the sound collage project Vampire Rodents in 1993. Wulf had already been began composing since 1977, worked with independent film scoring in Belgium, Canada, Japan, and the United States and performed in Vampire Rodents on the albums '' War Music'' and ''Premonition'', released in 1990 and 1992. Dilate released its debut album ''Cyclos'' in early 1996 for Hypnotic Records, a sublabel of Cleopatra Records. The album was somewhat well-received critically, with AllMusic awarding the album four out of five stars and the music magazine ''Keyboard'' stating "he synthesizers swell majestically, but never sound corny or contrived" and "t ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dilate (Ani DiFranco Album)
''Dilate'' is the seventh studio album by American singer-songwriter Ani DiFranco, released in 1996. ''Dilate'' is her highest-selling and most critically acclaimed record, with US sales of over 480,000 units according to SoundScan. In 2011, ''Slant Magazine'' placed the album at No. 67 on its list of "The 100 Best Albums of 1990s". Track listing Personnel *Ani DiFranco – synthesizer, acoustic guitar, bass, guitar, bongos, electric guitar, steel guitar, Hammond organ, vocals, thumb piano *Michael Ramos – Hammond organ *Andy Stochansky – drums *David Travers-Smith – trumpet Production *Ani DiFranco – record producer, mixing, sampling, arranger, sequencing, artwork, design *Robin Aubé – engineer *Bob Doidge – engineer *Andrew Gilchrist – engineer *Mark Hallman Mark Hallman (born August 1, 1951) is an American producer, songwriter, engineer and multi-instrumentalist. He has worked with Carole King (appearing on six of her albums as a performer and produ ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dilate (Bardo Pond Album)
''Dilate'' is the fifth studio album by Bardo Pond. It was released on April 24, 2001, on Matador Records. Reception Like its predecessors, ''Dilate'' has received highly positive reviews from critics upon release. It has a Metacritic score of 82 based on 10 reviews indicating " iversal acclaim". AllMusic picked the album as the best in the band's discography, with Heather Phares writing that it "cuts through the dense, smoky haze of Set and Setting and Lapsed to deliver its most refined collection to date. ..Bardo Pond's roaring guitars, trippy flutes, and pummeling drums are all still in place, but now the group uses them sparingly instead of in heroic doses. Indeed, the album's best moments mix equally vast amounts of noise and space, giving Dilate an appropriately expansive feel." In a similarly positive review, ''Billboard'' magazine noted that the album "has more in common with avant-jazz and contemporary classical than with most heavy rock" & called it "out of step with ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Time Dilation
In physics and relativity, time dilation is the difference in the elapsed time as measured by two clocks. It is either due to a relative velocity between them ( special relativistic "kinetic" time dilation) or to a difference in gravitational potential between their locations ( general relativistic gravitational time dilation). When unspecified, "time dilation" usually refers to the effect due to velocity. After compensating for varying signal delays due to the changing distance between an observer and a moving clock (i.e. Doppler effect), the observer will measure the moving clock as ticking slower than a clock that is at rest in the observer's own reference frame. In addition, a clock that is close to a massive body (and which therefore is at lower gravitational potential) will record less elapsed time than a clock situated further from the said massive body (and which is at a higher gravitational potential). These predictions of the theory of relativity have been repeatedl ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Scale Invariance
In physics, mathematics and statistics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor, and thus represent a universality. The technical term for this transformation is a dilatation (also known as dilation), and the dilatations can also form part of a larger conformal symmetry. *In mathematics, scale invariance usually refers to an invariance of individual functions or curves. A closely related concept is self-similarity, where a function or curve is invariant under a discrete subset of the dilations. It is also possible for the probability distributions of random processes to display this kind of scale invariance or self-similarity. *In classical field theory, scale invariance most commonly applies to the invariance of a whole theory under dilatations. Such theories typically describe classical physical processes with no characteristic length scale. *In quantum field theory, ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Thermal Expansion
Thermal expansion is the tendency of matter to change its shape, area, volume, and density in response to a change in temperature, usually not including phase transitions. Temperature is a monotonic function of the average molecular kinetic energy of a substance. When a substance is heated, molecules begin to vibrate and move more, usually creating more distance between themselves. Substances which contract with increasing temperature are unusual, and only occur within limited temperature ranges (see examples below). The relative expansion (also called strain) divided by the change in temperature is called the material's coefficient of linear thermal expansion and generally varies with temperature. As energy in particles increases, they start moving faster and faster weakening the intermolecular forces between them, therefore expanding the substance. Overview Predicting expansion If an equation of state is available, it can be used to predict the values of the thermal expan ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Inhomogeneous Dilation
In affine geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a ''scale factor'' that is the same in all directions. The result of uniform scaling is similar (in the geometric sense) to the original. A scale factor of 1 is normally allowed, so that congruent shapes are also classed as similar. Uniform scaling happens, for example, when enlarging or reducing a photograph, or when creating a scale model of a building, car, airplane, etc. More general is scaling with a separate scale factor for each axis direction. Non-uniform scaling (anisotropic scaling) is obtained when at least one of the scaling factors is different from the others; a special case is directional scaling or stretching (in one direction). Non-uniform scaling changes the shape of the object; e.g. a square may change into a rectangle, or into a parallelogram if the sides of the square are not parallel to the scaling axes (the a ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Homothetic Transformation
In mathematics, a homothety (or homothecy, or homogeneous dilation) is a transformation of an affine space determined by a point ''S'' called its ''center'' and a nonzero number ''k'' called its ''ratio'', which sends point X to a point X' by the rule : \overrightarrow=k\overrightarrow for a fixed number k\ne 0. Using position vectors: :\mathbf x'=\mathbf s + k(\mathbf x -\mathbf s). In case of S=O (Origin): :\mathbf x'=k\mathbf x, which is a uniform scaling and shows the meaning of special choices for k: :for k=1 one gets the ''identity'' mapping, :for k=-1 one gets the ''reflection'' at the center, For 1/k one gets the ''inverse'' mapping defined by k. In Euclidean geometry homotheties are the similarities that fix a point and either preserve (if k>0) or reverse (if k<0) the direction of all vectors. Together with the ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Scaling (geometry)
In affine geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a ''scale factor'' that is the same in all directions. The result of uniform scaling is similarity (geometry), similar (in the geometric sense) to the original. A scale factor of 1 is normally allowed, so that congruence (geometry), congruent shapes are also classed as similar. Uniform scaling happens, for example, when enlarging or reducing a photograph, or when creating a scale model of a building, car, airplane, etc. More general is scaling with a separate scale factor for each axis direction. Non-uniform scaling (anisotropic scaling) is obtained when at least one of the scaling factors is different from the others; a special case is directional scaling or stretching (in one direction). Non-uniform scaling changes the shape of the object; e.g. a square may change into a rectangle, or into a parallelogram if the sides of the squar ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Dilation (morphology)
Dilation (usually represented by ⊕) is one of the basic operations in mathematical morphology. Originally developed for binary images, it has been expanded first to grayscale images, and then to complete lattices. The dilation operation usually uses a structuring element for probing and expanding the shapes contained in the input image. Binary dilation In binary morphology, dilation is a shift-invariant (translation invariant) operator, equivalent to Minkowski addition. A binary image is viewed in mathematical morphology as a subset of a Euclidean space R''d'' or the integer grid Z''d'', for some dimension ''d''. Let ''E'' be a Euclidean space or an integer grid, ''A'' a binary image in ''E'', and ''B'' a structuring element regarded as a subset of R''d''. The dilation of ''A'' by ''B'' is defined by ::A \oplus B = \bigcup_ A_b, where ''A''''b'' is the translation of ''A'' by ''b''. Dilation is commutative, also given by A \oplus B = B\oplus A = \bigcup_ B_a. If ''B'' ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |