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Dilation And Curettage
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 dilation, 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) In affine geometry, uniform scaling (or isotropic scaling) is a linear tr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dilation
wiktionary:dilation, 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 dilation, a procedure for widening a narrowed esophagus * mydriasis, 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 (Homothetic transforma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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] |
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 contriv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 Engineers, as practitioners of engineering, are professionals who Invention, invent, design, build, maintain and test machines, complex systems, structures, gadgets and materials. They aim to fulfill functional objectives and requirements while ... *Bob Doidge � ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Time Dilation
Time dilation is the difference in elapsed time as measured by two clocks, either because of a relative velocity between them (special relativity), or a difference in gravitational potential between their locations (general relativity). When unspecified, "time dilation" usually refers to the effect due to velocity. The dilation compares "wristwatch" clock readings between events measured in different inertial frames and is not observed by visual comparison of clocks across moving frames. These predictions of the theory of relativity have been repeatedly confirmed by experiment, and they are of practical concern, for instance in the operation of satellite navigation systems such as GPS and Galileo. Invisibility Time dilation is a relationship between clock readings. Visually observed clock readings involve delays due to the propagation speed of light from the clock to the observer. Thus there is no direct way to observe time dilation. As an example of time dilation, two expe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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). Dilatations can 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, scale inva ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thermal Expansion
Thermal expansion is the tendency of matter to increase in length, area, or volume, changing its size and density, in response to an increase in temperature (usually excluding phase transitions). Substances usually contract with decreasing temperature (thermal contraction), with rare exceptions within limited temperature ranges ('' negative thermal expansion''). Temperature is a monotonic function of the average molecular kinetic energy of a substance. As energy in particles increases, they start moving faster and faster, weakening the intermolecular forces between them and therefore expanding the substance. When a substance is heated, molecules begin to vibrate and move more, usually creating more distance between themselves. 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. Prediction If an equation of state is available, it can be used t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dilation (physics)
In mechanics, compression is the application of balanced inward ("pushing") forces to different points on a material or structure, that is, forces with no net sum or torque directed so as to reduce its size in one or more directions.Ferdinand Pierre Beer, Elwood Russell Johnston, John T. DeWolf (1992), "Mechanics of Materials". (Book) McGraw-Hill Professional, It is contrasted with tension or traction, the application of balanced outward ("pulling") forces; and with shearing forces, directed so as to displace layers of the material parallel to each other. The compressive strength of materials and structures is an important engineering consideration. In uniaxial compression, the forces are directed along one direction only, so that they act towards decreasing the object's length along that direction. The compressive forces may also be applied in multiple directions; for example inwards along the edges of a plate or all over the side surface of a cylinder, so as to reduce its ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ( isotropically). 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 s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Homothetic Transformation
In mathematics, a homothety (or homothecy, or homogeneous dilation) is a Transformation (mathematics), transformation of an affine space determined by a point called its ''center'' and a nonzero number called its ''ratio'', which sends point to a point 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 Similarity (geometry), similarities that fix a point and either preserve (if k>0) or reverse (if k<0) the direction of all vectors. Together with the Translation (geometry), translations, all homotheties of an affine (or Euclidean) space form a group (mathematics ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ( isotropically). 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 th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
