Dilation
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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 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 ...
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Dilation And Curettage
Dilation (or dilatation) and curettage (D&C) refers to the dilation (widening/opening) of the cervix and surgical removal of part of the lining of the uterus and/or contents of the uterus by scraping and scooping (curettage). It is a gynecologic procedure used for diagnostic and therapeutic purposes, and is the most commonly used method for first-trimester miscarriage or abortion. D&C normally refers to a procedure involving a curette, also called ''sharp curettage''. However, some sources use the term ''D&C'' to refer to any procedure that involves the processes of dilation and removal of uterine contents, which includes the more common ''suction curettage'' procedures of manual and electric vacuum aspiration. Clinical uses D&Cs may be performed in pregnant and non-pregnant patients, for different clinical indications. During pregnancy or postpartum A D&C may be performed early in pregnancy to remove pregnancy tissue, either in the case of a non-viable pregnancy, such as ...
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Dilation And Evacuation
Dilation and evacuation (D&E) is the dilation of the cervix and surgical evacuation of the uterus (potentially including the fetus, placenta and other tissue) after the first trimester of pregnancy. It is a method of abortion as well as a common procedure used after miscarriage to remove all pregnancy tissue. In various health care centers it may be called by different names: * D&E (Dilation and evacuation) * ERPOC (Evacuation of Retained Products of Conception) * TOP or STOP ((Surgical) Termination Of Pregnancy) D&E normally refers to a specific second trimester procedure. However, some sources use the term D&E to refer more generally to any procedure that involves the processes of dilation and evacuation, which includes the first trimester procedures of manual and electric vacuum aspiration. Intact Dilation and Extraction (D&X) is a different procedural variation on D&E. Indications for D&E Dilation and evacuation (D&E) is one of the methods available to completely remove the ...
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Dilation (album)
''Dilation'' is the debut album by comedian Rory Scovel released digitally on October 4, 2011 by Stand Up! Records. Track listing Reception ''Dilation'' was met with positive reviews upon its release. ''The A.V. Club'' named it the 6th best comedy album of 2011, saying, "''Dilation'' effortlessly bounces around myriad topics, and lets Scovel be an expert at all of them." LaughSpin says, "if you consider yourself a bit of comedy scholar, you’ll likely find great pleasure in Scovel’s unorthodox approach to cracking wise." ''The Huffington Post ''HuffPost'' (formerly ''The Huffington Post'' until 2017 and sometimes abbreviated ''HuffPo'') is an American progressive news website, with localized and international editions. The site offers news, satire, blogs, and original content, and ...'' named Scovel and the album in their Guide to New Comedy Albums of 2011, saying, "He'll typically spiral a setup and punchline in circles and play with an audience's expectations with a ...
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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'' ...
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Dilation (metric Space)
In mathematics, a dilation is a function f from a metric space M into itself that satisfies the identity :d(f(x),f(y))=rd(x,y) for all points x, y \in M, where d(x, y) is the distance from x to y and r is some positive real number. In Euclidean space, such a dilation is a similarity of the space. Dilations change the size but not the shape of an object or figure. Every dilation of a Euclidean space that is not a congruence has a unique fixed point that is called the ''center of dilation''. Some congruences have fixed points and others do not.. See also * Homothety * 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 boun ... References {{DEFAULTSORT:Dilation (Metric Space) Metric geometry ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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