Airbnb divides experiences into multiday "immersions" or single experiences (just a few hours).
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Only a series of ritual immersions in the river can bring him back.
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Maybe. Somehow I think we'll manage without some of these genius-infused total immersions.
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An example of something we do in these programs is we do these immersions, where students go physically.
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None of the films are ideal primers on their subjects, but all are specific, tantalizing immersions — which may be better.
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The new platform lets people offer services that either last many days, called immersions, or a few hours, called single experiences.
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Thanks to dewy immersions like "Too Many Dreams," haunted by abstraction but guided by a compassionate pulse, this is his strongest statement yet.
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By encouraging visitors to perform a theme of their exhibition, Jaspers and Warnecke achieve their most effective in a series of compelling immersions into Scorsese's life and work.
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Jaunt believes that once consumers experience the rich immersions of VR technology, they'll be hooked and drive demand for more high-quality VR content that the company provides.
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"The garden immersions are designed to fully engage guests and bring Vermont's farm-to-table ethos to life," said Courtney Lowe, the resort's vice president of marketing and business development.
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Dr. Petersen and his colleagues suspect that the repeated cold-water immersions may have triggered complex metabolic reactions inside the body that prioritize keeping tissues warm over helping them to grow.
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A full month of in-depth immersions into the apex of sound and art, through concerts, conversations, film screenings, and wholly unconventional collaborations take you inside worlds of music new and old.
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On the first evening of a two-night run at the Jazz Gallery, they played a series of long immersions, guided by Mr. McPherson's steadily locomotive drumming and the oozing agility of Mr. Crump's bass.
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"You have all the floral notes of coffee without any of acidity," Mr. Ansel said, noting that it's similar to the cold tea immersions he made when he worked at the famed Fauchon bakery in Paris.
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This is Hardy country, and it is tempting to speculate that his immersions in the shires of post-war rural England fuelled his natural distaste for innovation and thoughtless change, informing and shaping his mature political philosophy.
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This can mean extreme adventure travel, as with companies like Britain-based Pelorus, which offers heli-skiing guided by retired military on active volcanoes in Kamchatka, and immersions with indigenous cultures in Angola and Papua New Guinea.
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I generally resist both convulsions and immersions but have to admit that, despite its unusually interactive nature, I'm drawn to "Gloria: A Life," the new stage event — it's not just a play — about the activist and feminist Gloria Steinem.
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While the idea of soaking in beer has been around for centuries in places like the Czech Republic — where beer immersions have long existed — the idea of beer's rejuvenating physical properties have largely flown under the radar here in the United States.
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He may have dropped the orchestra's new music-minded series Contact, but he offered two to replace it: Nightcap and Sound On. Each is meant to offer intimate immersions into the music, personality and thinking of living composers featured on Philharmonic programs.
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Obviously, it works when your playing games to add an extra level of immersions, but it also works anytime you watch a video or listen to music, and can be adjusted from a little wiggle to a full-on attempt to shake the shit out of your hands.
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In the mathematical field of topology, a regular homotopy refers to a special kind of homotopy between immersions of one manifold in another. The homotopy must be a 1-parameter family of immersions. Similar to homotopy classes, one defines two immersions to be in the same regular homotopy class if there exists a regular homotopy between them. Regular homotopy for immersions is similar to isotopy of embeddings: they are both restricted types of homotopies.
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BGU courses are conducted using four methods: # City Immersions – 12-15 day city immersions in large global cities often led by BGU graduates who live in those cities. These immersions often include meetings with city mayors and key business leaders as well as opportunities for student to join the work of those who live with the poor and underserved. City immersions are preceded by online preparation and reading and often include groups of students from three or more continents participating. # On-line assisted – online courses with weekly video conference sessions, local mentoring, and specific application projects.
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Stated another way, two continuous functions f,g : M \to N are homotopic if they represent points in the same path-components of the mapping space C(M,N), given the compact-open topology. The space of immersions is the subspace of C(M,N) consisting of immersions, denote it by Imm(M,N). Two immersions f,g:M \to N are regularly homotopic if they represent points in the same path-component of Imm(M,N).
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A regular homotopy between two immersions f and g from a manifold M to a manifold N is defined to be a differentiable function such that for all t in the function defined by for all is an immersion, with , . A regular homotopy is thus a homotopy through immersions.
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Hassler Whitney initiated the systematic study of immersions and regular homotopies in the 1940s, proving that for every map of an m-dimensional manifold to an n-dimensional manifold is homotopic to an immersion, and in fact to an embedding for ; these are the Whitney immersion theorem and Whitney embedding theorem. Stephen Smale expressed the regular homotopy classes of immersions as the homotopy groups of a certain Stiefel manifold. The sphere eversion was a particularly striking consequence. Morris Hirsch generalized Smale's expression to a homotopy theory description of the regular homotopy classes of immersions of any m-dimensional manifold Mm in any n-dimensional manifold Nn. The Hirsch-Smale classification of immersions was generalized by Mikhail Gromov.
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If the maps are immersions, the intersection of their images will be a manifold of dimension \ell_1 + \ell_2 - m.
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The nature of the multiple points classifies immersions; for example, immersions of a circle in the plane are classified up to regular homotopy by the number of double points. At a key point in surgery theory it is necessary to decide if an immersion of an m-sphere in a 2m-dimensional manifold is regular homotopic to an embedding, in which case it can be killed by surgery. Wall associated to f an invariant μ(f) in a quotient of the fundamental group ring Z[1(N)] which counts the double points of f in the universal cover of N. For , f is regular homotopic to an embedding if and only if by the Whitney trick. One can study embeddings as "immersions without multiple points", since immersions are easier to classify.
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They offer a number of co-curricular activities and experiences, including immersions to Lasallian schools overseas. The school follows the NSW Syllabus and Australian Curriculum.
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Codimension 0 immersions are equivalently relative dimension 0 submersions, and are better thought of as submersions. A codimension 0 immersion of a closed manifold is precisely a covering map, i.e., a fiber bundle with 0-dimensional (discrete) fiber. By Ehresmann's theorem and Phillips' theorem on submersions, a proper submersion of manifolds is a fiber bundle, hence codimension/relative dimension 0 immersions/submersions behave like submersions.
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Coursework is completed through online, self-guided courses, live online discussions, and internships. MBA@Denver offers students multiple concentration options, leadership immersions, and a capstone project.
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Thus the inclusion of holonomic into non-holonomic solutions satisfies the h-principle. The Whitney–Graustein theorem shows that immersions of the circle in the plane satisfy an h-principle, expressed by turning number. This trivial example has nontrivial generalizations: extending this to immersions of a circle into itself classifies them by order (or winding number), by lifting the map to the universal covering space and applying the above analysis to the resulting monotone map – the linear map corresponds to multiplying angle: \theta \mapsto n\theta (z \mapsto z^n in complex numbers). Note that here there are no immersions of order 0, as those would need to turn back on themselves.
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"Perks, Lisa. (2014). Media Marathoning: Immersions in Morality. Lexington Books, p. ix. Netflix executive Todd Yellin is quoted as saying "I don't like the term 'binge,' because it sounds almost pathological.
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In 1986, Hamilton and Michael Gage applied Hamilton's Nash-Moser theorem and well-posedness result for parabolic equations to prove the well-posedness for mean curvature flow; they considered the general case of a one-parameter family of immersions of a closed manifold into a smooth Riemannian manifold. Then, they specialized to the case of immersions of the circle into the two-dimensional Euclidean space , which is the simplest context for curve shortening flow. Using the maximum principle as applied to the distance between two points on a curve, they proved that if the initial immersion is an embedding, then all future immersions in the mean curvature flow are embeddings as well. Furthermore, convexity of the curves is preserved into the future.
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Igor explains this: Central to Igor's teaching methodology is the transmission of spiritual energy, which occurs primarily during in-person events. He has commented that "the real work happens at the immersions — the real work happens in these specifically created containers." Participants at his immersions commonly experience spontaneous, involuntary kriyas, in the form of asanas, pranayama, glossolalia, and vocal harmonizing. One of the unusual but constant features of Igor's live events is spontaneous vocalization and overtoning by the participants.
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Hassler Whitney (March 23, 1907 – May 10, 1989) was an American mathematician. He was one of the founders of singularity theory, and did foundational work in manifolds, embeddings, immersions, characteristic classes, and geometric integration theory.
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Some of their existence results were developed simultaneously with renowned results of Jonathan Sacks and Karen Uhlenbeck.Sacks, J.; Uhlenbeck, K. The existence of minimal immersions of 2-spheres. Ann. of Math. (2) 113 (1981), no.
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Students also have opportunities to attend cultural symposiums, national and international bi-cultural forums, research on contemporary issues, and embark on refined overseas immersions to strengthen their world and cultural views under the Global Classroom Programme.
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In 1975, Yau partially extended a result of Hideki Omori's which allows the application of the maximum principle on noncompact spaces, where maxima are not guaranteed to exist.Omori, Hideki. Isometric immersions of Riemannian manifolds. J. Math. Soc.
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An injectively immersed submanifold that is not an embedding. If M is compact, an injective immersion is an embedding, but if M is not compact then injective immersions need not be embeddings; compare to continuous bijections versus homeomorphisms.
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4540-4542 Besides adding silt, studies indicate that these immersions have increased the pollution levels in the lake. A 2009 survey shows that the chemical oxygen demand and biochemical oxygen demand in the water body increased drastically after these festivals.
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There are differing customs about how many immersions are performed at each visit to a mikveh. It is the custom of many in the Orthodox community to immerse at least twice.Shulchan Aruch, Yoreh Deah, 200. Accordingly, they would immerse, recite the blessing, then immerse again.
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Further, codimension 0 immersions do not behave like other immersions, which are largely determined by the stable normal bundle: in codimension 0 one has issues of fundamental class and cover spaces. For instance, there is no codimension 0 immersion , despite the circle being parallelizable, which can be proven because the line has no fundamental class, so one does not get the required map on top cohomology. Alternatively, this is by invariance of domain. Similarly, although S3 and the 3-torus T3 are both parallelizable, there is no immersion – any such cover would have to be ramified at some points, since the sphere is simply connected.
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It was based on earlier results that reduced partial differential relations to homotopy, particularly for immersions. The first evidence of h-principle appeared in the Whitney–Graustein theorem. This was followed by the Nash- Kuiper Isometric C^1 embedding theorem and the Smale-Hirsch Immersion theorem.
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Their intersection thus consists of isolated signed points, i.e. a zero-dimensional manifold. #When \ell_1 + \ell_2 > m this sum needn't be direct. In fact it cannot be direct if f_1 and f_2 are immersions at their point of intersection, as happens in the case of embedded submanifolds.
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As a matter of course, large crowds gathered on the river banks to witness the immersions. In general, the growth of the Baptist community within the Aberdare Valley was driven by enthusiasm. However, there were occasional conflicts. The most dramatic occurred in the early history of Gwawr, Aberaman.
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Alexander earned her Ph.D. from UIUC in 1967, under the supervision of Richard L. Bishop, with a thesis entitled Reducibility of Euclidean Immersions of Low Codimensions. After joining the UIUC faculty as a half-time instructor, she became a regular faculty member in 1972. She retired in 2009.
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LIU Global (formerly: Friends World College, Friends World Institute, Friends World Program, and Global College of Long Island University) is a discrete educational entity of Long Island University that offers a program that integrates a series of yearlong cultural immersions into a four-year Bachelor of Arts degree.
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ICTS provides a platform along with resources for researchers working on diverse subjects to congregate during high-quality programs of varying durations. Cross-disciplinary immersions are encouraged at ICTS. Long duration programs have a large educational component. They aim to provide an introduction to current problems in an emerging research area.
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Another parametrization was discovered by Rob Kusner and Robert Bryant.. Boy's surface is one of the two possible immersions of the real projective plane which have only a single triple point. Unlike the Roman surface and the cross-cap, it has no other singularities than self-intersections (that is, it has no pinch-points).
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Media Marathoning: Immersions in Morality. Lexington Books, pp. xv–xxxix. On June 25, 2015, Comedy Central announced that it would stream a marathon online of every episode of The Daily Show hosted by Jon Stewart, known as "Your Month of Zen", running between June 26 and August 6, 2015, in honor of his retirement.
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This gives one period of the surface, which can then be extended in the z-direction by symmetry. The surface has been generalised by H. Karcher into the saddle tower family of periodic minimal surfaces. Somewhat confusingly, this surface is occasionally called Scherk's fifth surface in the literature.Nikolaos Kapuoleas, Constructions of minimal surfaces by glueing minimal immersions.
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The h topology combines a number of useful properties of its various "sub"topologies. Since if is finer than the Zariski topology, h-locally every scheme is affine. Since it is finer than the Nisnevich_topology, h-locally regular immersions look like zero sections of vector bundles. It is also finer than the étale topology and the fppf topology.
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In complex geometry, ramified covering spaces are used to model Riemann surfaces, and to analyze maps between surfaces, such as by the Riemann–Hurwitz formula. In Riemannian geometry, one may ask for maps to preserve the Riemannian metric, leading to notions of isometric embeddings, isometric immersions, and Riemannian submersions; a basic result is the Nash embedding theorem.
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The common practice is to wash thoroughly before immersion (to remove any dirt or dead skin on the body), and to enter the Mikveh while still wet (to avoid any air bubbles that might be trapped on the skin or in the hair). Unlike baptism, immersion is a private event—unless a physical handicap makes it impossible, the person undergoing immersion enters the Mikveh alone, and says any appropriate prayers themselves. When performed as part of Conversion to Orthodox Judaism, the act of immersion needs to be witnessed by a Beth-din of three Rabbis; however, the person immerses him/herself. "Symbolic" immersions, where only drops of water are applied, where "carried" water is used, or where the immerser wears any kind of clothing or underclothing, are not considered valid immersions under Jewish law.
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Morris William Hirsch (born June 28, 1933) is an American mathematician, formerly at the University of California, Berkeley. A native of Chicago, Illinois, Hirsch attained his doctorate from the University of Chicago in 1958, under supervision of Edwin Spanier and Stephen Smale. His thesis was entitled Immersions of Manifolds. In 2012 he became a fellow of the American Mathematical Society.
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He was also wanted to pursue treatments for his daughter, who had contracted polio. At the time, the standard treatment was frequent immersions in warm water along with physical therapy. As a result of both factors, Laird retired and he and his wife moved their family to Boca Raton, Florida. In retirement, Laird was active in multiple aviation history efforts.
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Harmonic maps and the associated harmonic map heat flow, in and of themselves, are among the most widely studied topics in the field of geometric analysis. The discovery of the "bubbling" of sequences of harmonic maps, due to Jonathan Sacks and Karen Uhlenbeck,Sacks, J.; Uhlenbeck, K. The existence of minimal immersions of 2-spheres. Ann. of Math. (2) 113 (1981), no.
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Volić's research is in algebraic topology. He is the author of over thirty articles and two books and has delivered more than two hundred lectures in some twenty countries. He has contributed to the fields of calculus of functors, spaces of embeddings and immersions, configuration space integrals, finite type invariants, Milnor invariants, rational homotopy theory, topological data analysis, and social choice theory.
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The right-handed trefoil knot. In geometric topology a basic type are embeddings, of which knot theory is a central example, and generalizations such as immersions, submersions, covering spaces, and ramified covering spaces. Basic results include the Whitney embedding theorem and Whitney immersion theorem. Riemann surface for the function f(z) = , shown as a ramified covering space of the complex plane.
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Peter's studies specialise in areas such as multiple points of immersions of manifolds in Euclidean space. He has also taught the history of mathematics and probability theory. In 1997 Cambridge University Press published his book 'Introduction to mathematical reasoning: numbers, sets and functions’. As a research mathematician, Eccles specialised in topology and homotopy theory, publishing numerous journal papers in this area of study[4].
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A toroidal polyhedron with 6 × 4 = 24 quadrilateral faces Polyhedra with the topological type of a torus are called toroidal polyhedra, and have Euler characteristic V − E + F = 0. For any number of holes, the formula generalizes to V − E + F = 2 − 2N, where N is the number of holes. The term "toroidal polyhedron" is also used for higher-genus polyhedra and for immersions of toroidal polyhedra.
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Due to the Gauss equation, the δ-invariants of a Riemannian submanifold can be controlled by the length of the mean curvature vector and the size of the sectional curvature of the ambient manifold. Submanifolds of space forms which satisfy the equality case of this inequality are known as ideal immersions; such submanifolds are critical points of a certain restriction of the Willmore energy.
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Extending this to circles immersed in the plane – the immersion condition is precisely the condition that the derivative does not vanish – the Whitney–Graustein theorem classified these by turning number by considering the homotopy class of the Gauss map and showing that this satisfies an h-principle; here again order 0 is more complicated. Smale's classification of immersions of spheres as the homotopy groups of Stiefel manifolds, and Hirsch's generalization of this to immersions of manifolds being classified as homotopy classes of maps of frame bundles are much further-reaching generalizations, and much more involved, but similar in principle – immersion requires the derivative to have rank k, which requires the partial derivatives in each direction to not vanish and to be linearly independent, and the resulting analog of the Gauss map is a map to the Stiefel manifold, or more generally between frame bundles.
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The third is [3.] Kaula yoga > with its system of four immersions (pindastha, padastha, rupastha and > rupatita) and as a fourth may be counted [4.] the three types of possession > (avesa) taught in the Trika (anava, sakta and sambhava) which are > innovatively presented as three meta-categories under which all yogic > exercises can be subsumed.Vasudeva, Somadeva, The Yoga of the > Mālinīvijayottara Tantra, Critical edition, translation & notes, pp. 368-69.
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Dawsey Kewley contracted pleurisy in February 1904. He was initially looked after at home, but was transferred to Noble's Hospital, Douglas, on Wednesday 23 March and died in the early hours of Friday 25 March. His cause of death was given as pneumonia, which may well have been attributed to his numerous immersions in icy-cold water. The grave of David ‘Dawsey’ Kewley, Braddan Cemetery, Isle of Man.
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It is still a well visited church in Mumbai. The Church of Our Lady of Assumption, located off M.G. Road, was built in 1630 and was one of the oldest churches of Mumbai. The said church was demolished and a new church was built. The pond located at Shankar Mandir, Kandivali village is used for immersions during Ganesh Chaturthi (The pond is now known as Young Star Krida Mandal Visarjan Talao).
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In mathematics, topological graph theory is a branch of graph theory. It studies the embedding of graphs in surfaces, spatial embeddings of graphs, and graphs as topological spaces.J.L. Gross and T.W. Tucker, Topological graph theory, Wiley Interscience, 1987 It also studies immersions of graphs. Embedding a graph in a surface means that we want to draw the graph on a surface, a sphere for example, without two edges intersecting.
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Each garment was made of a single piece of the finest silk, its unique color acquired by repeated immersions in dyes whose shades were suggestive of moonlight or of the watery reflections of the Venetian lagoon. Breton straw, Mexican cochineal, and indigo from the Far East were among the ingredients that Fortuny used. Among his many devotees were Eleonora Duse, Isadora Duncan, Cléo de Mérode, the Marchesa Casati, Émilienne d’Alençon, and Liane de Pougy.
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One of these, known as china blue, involved iron(II) sulfate. After printing an insoluble form of indigo onto the fabric, the indigo was reduced to leuco-indigo in a sequence of baths of ferrous sulfate (with reoxidation to indigo in air between immersions). The china blue process could make sharp designs, but it could not produce the dark hues of other methods. Sometimes, it is included in canned black olives as an artificial colorant.
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In fact he decided to write of "certain aspects of the present that he set out to know" and ventured into the East End of London—the first of the occasional sorties he would make to discover for himself the world of poverty and the down-and-outers who inhabit it. He had found a subject. These sorties, explorations, expeditions, tours or immersions were made intermittently over a period of five years.Stansky & Abrahams, The Unknown Orwell, p.
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Let Mfd be the category of all manifolds and continuous maps. (Or smooth manifolds and smooth maps, or real analytic manifolds and analytic maps, etc.) Mfd is a subcategory of Spc, and open immersions are continuous (or smooth, or analytic, etc.), so Mfd inherits a topology from Spc. This lets us construct the big site of the manifold M as the site Mfd/M. We can also define this topology using the same pretopology we used above.
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A k-tuple point (double, triple, etc.) of an immersion is an unordered set } of distinct points with the same image . If M is an m-dimensional manifold and N is an n-dimensional manifold then for an immersion in general position the set of k-tuple points is an -dimensional manifold. Every embedding is an immersion without multiple points (where ). Note, however, that the converse is false: there are injective immersions that are not embeddings.
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Cold shock response is a series of cardio-respiratory responses caused by sudden immersion in cold water. In cold water immersions, cold shock response is perhaps the most common cause of death, such as by falling through thin ice. The immediate shock of the cold causes involuntary inhalation, which, if underwater, can result in drowning. The cold water can also cause heart attack due to vasoconstriction; the heart has to work harder to pump the same volume of blood throughout the body.
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Mercer published a popular hymnal titled Cluster of Spiritual Songs in 1810. In later years, he also published the Christian Index, which became the newspaper of the Georgia Baptist Convention. Mercer published a temperance newspaper in Washington, Georgia, though he at first was against the temperance movement. In 1811 he wrote the circular letter for the Georgia Baptist Association in which he defended the Baptist rejection of alien immersion (immersions performed in non-Baptist churches) on the basis of Baptist successionism.
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It is estimated that some karst formations are related to earlier immersions, most notably the Messinian salinity crisis. The largest part of the eastern coast consists of carbonate rocks, while flysch is significantly represented in the Gulf of Trieste coast, on the Kvarner Gulf coast opposite Krk, and in Dalmatia north of Split. There are comparably small alluvial areas of the Adriatic coast in Croatia--most notably the Neretva Delta. The western Istria is gradually subsiding, having sunk about in the past two thousand years.
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Thus, one can start from immersions and try to eliminate multiple points, seeing if one can do this without introducing other singularities – studying "multiple disjunctions". This was first done by André Haefliger, and this approach is fruitful in codimension 3 or more – from the point of view of surgery theory, this is "high (co)dimension", unlike codimension 2 which is the knotting dimension, as in knot theory. It is studied categorically via the "calculus of functors" by Thomas Goodwillie, John Klein, and Michael S. Weiss.
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Some transgender people have adopted the practice of mikveh immersion to mark a gender transition. However, many Orthodox authorities who control mikvaot only permit immersions that adhere with Jewish law. Therefore, other Jewish organizations strive to create mikvaot that allow for different uses, such as marking any important life transitions. Mayyim Hayyim, an organization in Newton, Massachusetts, collaborated with Keshet, one of Boston's LGBT Jewish organizations, to actively create a mikveh space that felt accessible to transgender people, including training mikveh guides on gender issues.
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John Milnor discovered that some spheres have more than one smooth structure—see Exotic sphere and Donaldson's theorem. Michel Kervaire exhibited topological manifolds with no smooth structure at all. Some constructions of smooth manifold theory, such as the existence of tangent bundles, can be done in the topological setting with much more work, and others cannot. One of the main topics in differential topology is the study of special kinds of smooth mappings between manifolds, namely immersions and submersions, and the intersections of submanifolds via transversality.
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The Venice-based designer Mariano Fortuny y Madrazo, was a curious figure, with very few parallels in any age. For his dress designs he conceived a special pleating process and new dyeing techniques. He gave the name Delphos to his long clinging sheath dresses that undulated with color. Each garment was made of a single piece of the finest silk, its unique color acquired by repeated immersions in dyes whose shades were suggestive of moonlight or of the watery reflections of the Venetian lagoon.
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The entrance to the Lateran Baptistery, adjacent to the Archbasilica The octagonal Lateran baptistery stands somewhat apart from the archbasilica. It was founded by Pope Sixtus III, perhaps on an earlier structure, for a legend arose that Emperor Constantine I was baptized there and enriched the edifice. The baptistery was for many generations the only baptistery in Rome, and its octagonal structure, centered upon the large basin for full immersions, provided a model for others throughout Italy, and even an iconic motif of illuminated manuscripts known as "the fountain of life".
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Boy's surface can be used in sphere eversion, as a half-way model. A half-way model is an immersion of the sphere with the property that a rotation interchanges inside and outside, and so can be employed to evert (turn inside-out) a sphere. Boy's (the case p = 3) and Morin's (the case p = 2) surfaces begin a sequence of half-way models with higher symmetry first proposed by George Francis, indexed by the even integers 2p (for p odd, these immersions can be factored through a projective plane). Kusner's parametrization yields all these.
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Chicago Conservatory Graduates are eligible to audition and perform with the Training Center House Teams. Each center also offers specialized workshops in areas such as advanced improvisation techniques, long-form improvisation, and stand-up comedy. For students who do not live near one of the Training Centers, they offer three- day intensives and one-week immersions held at the centers throughout the year as well as online comedy writing classes. The Training Centers also offers a variety of classes for children and teens including winter, spring and summer break camps.
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The concept of n-connectedness is used in the Hurewicz theorem which describes the relation between singular homology and the higher homotopy groups. In geometric topology, cases when the inclusion of a geometrically-defined space, such as the space of immersions M \to N, into a more general topological space, such as the space of all continuous maps between two associated spaces X(M) \to X(N), are n-connected are said to satisfy a homotopy principle or "h-principle". There are a number of powerful general techniques for proving h-principles.
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Southern Baptist Landmarkism sought to reset the ecclesiastical separation which had characterized the old Baptist churches, in an era when inter-denominational union meetings were the order of the day.. James Robinson Graves was an influential Baptist of the 19th century and the primary leader of this movement.. While some Landmarkers eventually separated from the Southern Baptist Convention, the movement continued to influence the Convention into the 20th and 21st centuries.. For instance, in 2005, the Southern Baptist International Mission Board forbade its missionaries to receive alien immersions for baptism.
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The Gaelic cultural identity community is a part of Nova Scotia's diverse peoples and communities. Thousands of Nova Scotians attend Gaelic-related activities and events annually including: language workshops and immersions, milling frolics, square dances, fiddle and piping sessions, concerts and festivals. Up until about the turn of the 20th century, Gaelic was widely spoken on eastern Prince Edward Island (PEI). In the 2011 Canadian Census, 10 individuals in PEI cited that their mother tongue was a Gaelic language, with over 90 claiming to speak a Gaelic language.
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He has recorded three live CDs during these retreats (Sancta Camisia, Undefended Heart, All Is Well) and collaborated with faculty member and noted modern mystic Andrew Harvey on a collaboration called Rumi Symphony. Other noteworthy performances include an appearance in 2013 at the esoteric AMBICON festival, hosted by the record label and radio show Hearts Of Space. Since 2015, Hans is also performing "Sonic Immersions" on gongs and has released one recording called Source that is entirely performed on gongs. On October 2009, Hans was interviewed at KFAI radio's Sangam program in Minnesota.
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Nonlinear narrative, disjointed narrative or disrupted narrative is a narrative technique, sometimes used in literature, film, hypertext websites and other narratives, where events are portrayed, for example, out of chronological order or in other ways where the narrative does not follow the direct causality pattern of the events featured, such as parallel distinctive plot lines, dream immersions or narrating another story inside the main plot- line. It is often used to mimic the structure and recall of human memory, but has been applied for other reasons as well.
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He used étale coverings to define an algebraic analogue of the fundamental group of a topological space. Soon Jean-Pierre Serre noticed that some properties of étale coverings mimicked those of open immersions, and that consequently it was possible to make constructions that imitated the cohomology functor H1. Grothendieck saw that it would be possible to use Serre's idea to define a cohomology theory that he suspected would be the Weil cohomology. To define this cohomology theory, Grothendieck needed to replace the usual, topological notion of an open covering with one that would use étale coverings instead.
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Unamended Christadelphians believe that a correct understanding of God's plan, a life lived in accordance with God's values and Christ's commandments, and baptism into Christ's name are necessary for salvation. By baptism, mankind may also escape their inherited condemnation to death and enter an atoned state, justified before God. Following the New Testament examples, only adult immersions are considered valid baptisms. The Unamended do not baptize infants, or those who do not profess a knowledge of and agree with these outlined doctrinal positions. Furthermore, the Unamended do not preach a doctrine of “once saved always saved”.
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Smale's graduate adviser Raoul Bott at first told Smale that the result was obviously wrong . His reasoning was that the degree of the Gauss map must be preserved in such "turning"—in particular it follows that there is no such turning of S1 in R2. But the degrees of the Gauss map for the embeddings f and −f in R3 are both equal to 1, and do not have opposite sign as one might incorrectly guess. The degree of the Gauss map of all immersions of S2 in R3 is 1, so there is no obstacle.
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Located in Johnson City, Tennessee, East Tennessee State University is the only four-year university in the world with a comprehensive program in bluegrass and old time music studies. (Morehead State offers a program also.) The program includes a variety of bluegrass and country music courses, both performance-oriented and academic. Minors in both Bluegrass and in Appalachian Studies are also offered. There are a variety of programs, mostly in the summer, such as the Augusta Heritage Festival, the Cowan Creek Mountain Music School, or the Appalachian String Band Music Festival, that offer week-long immersions in old-time music and dance.
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He planted more than 60 lakh trees and transformed over 100 acres of hillock into medicinal plants and local trees for forestation. He is also credited with constructing the first Butterfly Garden in Mumbai and other gardens across Mumbai and Navi Mumbai, in addition to the Child Gives Birth to a Mother monuments erected in various parts of the country. Kamat is involved with more than 1200 Advance Locality Management for maintaining clean and hygienic streets in India. His annual practices include the conversion of over 100 tons of ‘Nirmalya’ (flower offerings) into manure after the Ganapati immersions in Mumbai.
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BGU is accredited by the Transnational Association of Christian Colleges and Schools (TRACS), which is recognized by the U.S. Department of Education and the Council for Higher Education Accreditation (CHEA). BGU is also authorized by the Texas Higher Education Coordinating Board and the National Council for State Authorization Reciprocity Agreements. BGU students in the US can utilize FAFSA to access the Federal Direct Student Loan Program and qualified US military veterans can access education benefits from the Veterans Benefits Administration. BGU is accredited as a residential university that uses a variety of modes including city immersions and online courses.
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Rabbi Shapira's only son, his daughter-in- law, and his sister-in-law were killed during the Nazi aerial bombing of Warsaw in September, 1939. After the invasion of Poland, Rabbi Shapira was interned with a few of his hasidim in the Warsaw Ghetto, where he ran a secret synagogue. He invested enormous efforts in maintaining Jewish life in the ghetto, including arranging for mikveh immersions and kosher marriages. Rabbi Shapira was able to survive in the ghetto until its liquidation, avoiding the tragic deportations to Treblinka in the summer of 1942, because of the support of the Judenrat.
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One application is the Gromov–Lees Theorem, named for him and Jack Alexander Lees, concerning Lagrangian immersions and a one-to-one correspondence between the connected components of spaces. In 1978, Gromov introduced the notion of almost flat manifolds. The famous quarter-pinched sphere theorem in Riemannian geometry says that if a complete Riemannian manifold has sectional curvatures which are all sufficiently close to a given positive constant, then must be finitely covered by a sphere. In contrast, it can be seen by scaling that every closed Riemannian manifold has Riemannian metrics whose sectional curvatures are arbitrarily close to zero.
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A graph operation called lifting is central in a concept called immersions. The lifting is an operation on adjacent edges. Given three vertices v, u, and w, where (v,u) and (u,w) are edges in the graph, the lifting of vuw, or equivalent of (v,u), (u,w) is the operation that deletes the two edges (v,u) and (u,w) and adds the edge (v,w). In the case where (v,w) already was present, v and w will now be connected by more than one edge, and hence this operation is intrinsically a multi-graph operation.
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Felinfoel's main Baptist chapel, Adulam, plays a significant role in the history of that Nonconformist sect, as it is on the site of Ty Newydd, said by some to be the oldest Baptist settlement in Wales. Previously, the outlawed creed held its meetings in secret in Ogof Goetre Wen on the Morlais River some four miles away. Adulam's baptismal pool on the River Lleidi was in use for total immersions until the 1970s. The congregation would sit on the railway sleeper benches, and on the bridge over the river, and sing as the person was raised from the water.
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The Whitehead link is link homotopic to the unlink, but not isotopic to the unlink. The link group of an n-component link is essentially the set of (n + 1)-component links extending this link, up to link homotopy. In other words, each component of the extended link is allowed to move through regular homotopy (homotopy through immersions), knotting or unknotting itself, but is not allowed to move through other component. This is a weaker condition than isotopy: for example, the Whitehead link has linking number 0, and thus is link homotopic to the unlink, but it is not isotopic to the unlink.
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Manfredo Perdigão do Carmo (15 August 1928 – 30 April 2018) was a Brazilian mathematician, doyen of Brazilian differential geometry, and former president of the Brazilian Mathematical Society.Biography from the Guggenheim Foundation He was at the time of his death an emeritus researcher at the IMPA. He is known for his research on Riemannian manifolds, topology of manifolds, rigidity and convexity of isometric immersions, minimal surfaces, stability of hypersurfaces, isoperimetric problems, minimal submanifolds of a sphere, and manifolds of constant mean curvature and vanishing scalar curvature. He earned his Ph.D. from the University of California, Berkeley in 1963 under the supervision of Shiing-Shen Chern.
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The stable normal bundle is the class of normal bundles plus trivial bundles, and thus if the stable normal bundle has cohomological dimension k, it cannot come from an (unstable) normal bundle of dimension less than k. Thus, the cohomology dimension of the stable normal bundle, as detected by its highest non-vanishing characteristic class, is an obstruction to immersions. Since characteristic classes multiply under direct sum of vector bundles, this obstruction can be stated intrinsically in terms of the space M and its tangent bundle and cohomology algebra. This obstruction was stated (in terms of the tangent bundle, not stable normal bundle) by Whitney.
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Ioana Pârvulescu, "Cum se împacă literații cu muzicienii", in România Literară, Nr. 15/2009 Among the early reviewers, G. D. Pencioiu took a radical socially deterministic stand, proposing that Poor Dionis and its Schopenhauerian content were the product of frustration with, and withdrawal from, "bourgeois society".Dimitrie A. Teodoru, "Dl Pencioiŭ și Sermanul Dionis", in Contemporanul, Nr. 7/1890, pp. 92–96 To some degree, the notion resurfaces in other biographically-inclined scholars. Iorga believed that the work was not only generically autobiographical, but also an actual record of Eminescu's various cultural immersions, including his destitute career as a prompter in Bucharest and Giurgiu, and his enduring affection for Iași.
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Subfunctors are also used in the construction of representable functors on the category of ringed spaces. Let F be a contravariant functor from the category of ringed spaces to the category of sets, and let G ⊆ F. Suppose that this inclusion morphism G → F is representable by open immersions, i.e., for any representable functor and any morphism , the fibered product is a representable functor and the morphism Y → X defined by the Yoneda lemma is an open immersion. Then G is called an open subfunctor of F. If F is covered by representable open subfunctors, then, under certain conditions, it can be shown that F is representable.
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Various specialized forms of the problem were solved, but it was only in 1930 that general solutions were found in the context of mappings (immersions) independently by Jesse Douglas and Tibor Radó. Their methods were quite different; Radó's work built on the previous work of René Garnier and held only for rectifiable simple closed curves, whereas Douglas used completely new ideas with his result holding for an arbitrary simple closed curve. Both relied on setting up minimization problems; Douglas minimized the now-named Douglas integral while Radó minimized the "energy". Douglas went on to be awarded the Fields Medal in 1936 for his efforts.
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However it is more likely that if he was baptized it was in the Eastern part of the Roman Empire and possibly by an Arian bishop.Head, Thomas, Medieval Hagiography, p. 93, note, 19 This baptistry was for many generations the only baptistery in Rome, and its octagonal structure, centered upon the large octagonal basin for full immersions, provided a model for others throughout Italy, and even an iconic motif of illuminated manuscripts, "The fountain of Life". Around the central area, where is the basin of the font, an octagon is formed by eight porphyry columns, with marble Corinthian capitals and entablature of classical form.
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Lucius wakes up in a panic during the first watch of the night. Considering Fate to be done tormenting him, he takes the opportunity to purify himself by seven consecutive immersions in the sea. He then offers a prayer to the Queen of Heaven, for his return to human form, citing all the various names the goddess is known by to people everywhere (Venus, Ceres, Diana, Proserpine, etc.). The Queen of Heaven appears in a vision to him and explains to him how he can be returned to human form by eating the crown of roses that will be held by one of her priests during a religious procession the following day.
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Mizouz expressed dissatisfaction with efforts of the International Committee of the Red Cross on their behalf, and expressing suspicion that the Red Cross was assisting the American effort: Mizouz described brutal beatings in Kandahar, being exposed to the freezing cold winter weather, prior to interrogations, and the use of electric shock, during his interrogations, and immersions in freezing cold water. Mizouz was then transferred to the Bagram Collection Point. Mizouz said that after his release, when he read about the Abu Ghraib torture and abuse that occurred in 2003 he recognized that all of these techniques were techniques used when he was being held in Bagram in 2002. He also described injections with psychotropic drugs.
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Eccles's most significant contributions are concerned with the multiple points of immersions of manifolds in Euclidean space and their relationship with classical problems in the homotopy groups of spheres. His interest in this area began when he clarified the relationship between multiple points and the Hopf invariant (disproving a conjecture by Michael Freedman) and the Kervaire invariant. His teaching ranged over most areas of pure mathematics as well as the history of mathematics, relativity theory and probability theory. He became particularly interested in the transition from school to university mathematics and this led in 1967 to the publication by Cambridge University Press of his book 'Introduction to mathematical reasoning: numbers, sets and functions’.
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For any scheme X, let Ét(X) be the category of all étale morphisms from a scheme to X. This is the analog of the category of open subsets of X (that is, the category whose objects are varieties and whose morphisms are open immersions). Its objects can be informally thought of as étale open subsets of X. The intersection of two objects corresponds to their fiber product over X. Ét(X) is a large category, meaning that its objects do not form a set. An étale presheaf on X is a contravariant functor from Ét(X) to the category of sets. A presheaf F is called an étale sheaf if it satisfies the analog of the usual gluing condition for sheaves on topological spaces.
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In mathematics, Blanuša became known for discovering the second and third known snarks in 1946 (the Petersen graph was the first), triggering a new area of graph theory. The study of snarks had its origin in the 1880 work of P. G. Tait, who at that time had proved that the four color theorem is equivalent to the statement that no snark is planar. Snarks were so named later by the American mathematician Martin Gardner in 1976, after the mysterious and elusive object of Lewis Carroll's poem The Hunting of the Snark. Blanuša's most important works were related to isometric immersions of two-dimensional Lobachevsky plane into six-dimensional Euclidean space and generalizations, in the theory of the special functions (Bessel functions), in differential geometry, and in graph theory.
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Still, the conventions try to attract the fandom with other fun-filled Potter-centric activities, often more interactive, such as wizarding chess, water Quidditch, a showing of the Harry Potter films, or local cultural immersions. Live podcasts are often recorded during these events, and live Wizard Rock shows have become a fairly large part of recent conventions. Members of the Harry Potter cast have been brought in for the conferences; actors such as Evanna Lynch (Luna Lovegood) and Christopher Rankin (Percy Weasley), along with several others, have appeared to give live Q&A; sessions and keynote presentations about the series. In addition to fandom-specific programming, LeakyCon 2011 and 2012 have hosted LitDays (as well as incorporating the many fandoms Harry Potter fans have branched into since the ending of the series).
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Even then, many of its follicles do not release seed after a fire, but instead after successive autumn rains. An experiment simulating wet weather following a fire saw a series of Banksia attenuata cones with follicles subjected to twice weekly immersions in water after being heated in a ring Bunsen flame to around for two minutes. Cones that had been exposed to water for more weeks had more seed released from follicles over time; around 40% released at three weeks, increasing steadily to almost 90% at ten weeks, compared with a series of controls (which were kept dry) of which fewer than 10% of seed released. Thus, the seed remains in the follicles until successive rains result in seed dispersal in the wetter winter (instead of dryer summer), increasing the chance of survival.
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Nonlinear narrative is a storytelling technique in which the events are depicted, for example, out of chronological order, or in other ways where the narrative does not follow the direct causality pattern of the events featured, such as parallel distinctive plot lines, dream immersions, flashbacks, flashforwards or narrating another story inside the main plot-line. In television, there are several examples of works that use this kind of narrative, although not all of them use it in the same way. In spite of it being more commonly used on dramas, it can also be found on comedies. This technique is used for different purposes, such as serving as a narrative hook, to mimic human memory or to explore the past of the story without leaving its present completely aside.
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A Morin surface seen from "above" Sphere eversion process as described in paper sphere eversion and Morin surface paper Morin surface (sphere eversion halfway) with hexagonal symmetry In differential topology, sphere eversion is the process of turning a sphere inside out in a three-dimensional space. (The word eversion means "turning inside out".) Remarkably, it is possible to smoothly and continuously turn a sphere inside out in this way (with possible self-intersections) without cutting or tearing it or creating any crease. This is surprising, both to non-mathematicians and to those who understand regular homotopy, and can be regarded as a veridical paradox; that is something that, while being true, on first glance seems false. More precisely, let :f\colon S^2\to \R^3 be the standard embedding; then there is a regular homotopy of immersions :f_t\colon S^2\to \R^3 such that ƒ0 = ƒ and ƒ1 = −ƒ.
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Roughly, the Whitney trick allows one to "unknot" knotted spheres – more precisely, remove self-intersections of immersions; it does this via a homotopy of a disk – the disk has 2 dimensions, and the homotopy adds 1 more – and thus in codimension greater than 2, this can be done without intersecting itself; hence embeddings in codimension greater than 2 can be understood by surgery. In surgery theory, the key step is in the middle dimension, and thus when the middle dimension has codimension more than 2 (loosely, 2½ is enough, hence total dimension 5 is enough), the Whitney trick works. The key consequence of this is Smale's h-cobordism theorem, which works in dimension 5 and above, and forms the basis for surgery theory. A modification of the Whitney trick can work in 4 dimensions, and is called Casson handles – because there are not enough dimensions, a Whitney disk introduces new kinks, which can be resolved by another Whitney disk, leading to a sequence ("tower") of disks.
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In the court, however, Mohammed Ali changed his story and recanted parts of it (especially at the part where he claimed he was distracted by the phone call and the third immersion in water). He said that he did hear a ringing sound, but was unsure whether it came from his phone or the radio. He also said that after the third time he dunked her in water, Nonoi grew weak and soft and was blinking her eyes, and she became dead eventually, but he claimed uncertainty over the time of her death if it occurred after he left the Pipit Road flat or when he returned to his parents' Circuit Road flat. Using a dummy and pail, he demonstrated live in court how he dunked his stepdaughter in the eyes of all present in the courtroom to hear the case (he claimed he did the immersions in less than a second).
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Early reports indicated detainees were stripped naked and subject for long periods to cold showers or cold air ventilation. People were hung from meat hooks in Hebron and Ramallah. She concluded torture was applied at three rising levels of maltreatment, (a) level one: daily beatings with fists and sticks; (b) level two: alternate immersions of the victim in hot and cold water, beating of genitals and interrogation about twice daily over several hours; (c) level three: rotating teams of interrogators working on a nude person under detention by applying electrical devices, high frequency sonic noise, refrigeration, prolonged hanging by the hands or feet, and inserting objects into their penises or rectums. This last level was used on those who refused at earlier levels to denounce other Palestinians. 78-80% of a sample of detainees in 1985 said they had been sexually molested, and 67% stated they had been humiliated on religious grounds.
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Uhlenbeck is one of the founders of the field of geometric analysis, a discipline that uses differential geometry to study the solutions to differential equations and vice versa. She has also contributed to topological quantum field theory and integrable systems.. Together with Jonathan Sacks in the early 1980s, Uhlenbeck established regularity estimates that have found applications to studies of the singularities of harmonic maps and the existence of smooth local solutions to the Yang–Mills–Higgs equations in gauge theory. In particular, Donaldson describes their joint 1981 paper The existence of minimal immersions of 2-spheres as a "landmark paper... which showed that, with a deeper analysis, variational arguments can still be used to give general existence results" for harmonic map equations. Building on these ideas, Uhlenbeck initiated a systematic study of the moduli theory of minimal surfaces in hyperbolic 3-manifolds (also called minimal submanifold theory) in her 1983 paper, Closed minimal surfaces in hyperbolic 3-manifolds.
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Although the book includes some computer-generated images, most of it is centered on hand drawing techniques. After an introductory chapter on topological surfaces, the cusps in the outlines of surfaces formed when viewing them from certain angles, and the self-intersections of immersed surfaces, the next two chapters are centered on drawing techniques: chapter two concerns ink, paper, cross- hatching, and shading techniques for indicating the curvature of surfaces, while chapter three provides some basic techniques of graphical perspective. The remaining five chapters of the book provide case studies of different visualization problems in mathematics, called by the book "picture stories". The mathematical topics visualized in these chapters include the Penrose triangle and related optical illusions; the Roman surface and Boy's surface, two different immersions of the projective plane, and deformations between them; sphere eversion and the Morin surface; group theory, the mapping class groups of surfaces, and the braid groups; and knot theory, Seifert surfaces, the Hopf fibration of space by linked circles, and the construction of knot complements by gluing polyhedra.
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", Ferguson, Baptism in the early church: history, theology, and liturgy in the first five centuries (Eerdmans 2009 ), p. 852. and so does Malka Ben Pechat (1989)."Consequently, I have come to the conclusion that an adult of average height should have adapted himself, helped by the priest, to the dimensions of the font and to its internal design by taking an appropriate position which would have enabled him to dip and rise [sic] his head without losing his balance. Either bending his knees, kneeling, or sitting, an adult could have been totally immersed as required in fonts from 1.30m to 60cm deep.", Ferguson, Baptism in the early church: history, theology, and liturgy in the first five centuries (Eerdmans 2009 ), p. 852 The study by Everett Ferguson (2009) supports the view of La Sor, Heiser, Picard, and Pechat."The Christian literary sources, backed by secular word usage and Jewish religious immersions, give an overwhelming support for full immersion as the normal action. Exceptions in cases of lack of water and especially of sickbed baptism were made.
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Bryn Mawr Classical Review 2005 in her translation of Georgics, readers were often charmed and seduced by her way of weaving scientific fact, history and culture, with personal anecdote, mythological allusion and poetic feeling. "The author's ability to pull together disparate elements in her writing is impressive, and her passionate connection with the natural world is displayed in line after line," wrote The New York Times. Novelist Annie Proulx expressed a similar perception, observing that "Lembke's writing tacks between three points: the stuff of her late-twentieth-century life; the tangle of creature and plant in every dimension of tide and river flow; and the haunting, connecting wires of mythos that still knot us to the ancient beginnings."Annie Proulx on Lembke: Among Lembke's noted titles were Because the Cat Purrs: How We Relate to Other Species and Why It Matters (2008); Skinny Dipping: And Other Immersions in Water, Myth, and Being Human (2004); Dangerous Birds (1996); River Time (1997); Despicable Species: On Cowbirds, Kudzu, Hornworms, and Other Scourges (1999); and The Quality of Life: Living Well, Dying Well (2004)-- a sober and unflinching account of the death of the author's mother.
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This image of the open interval (with boundary points identified with the arrow marked ends) is an immersed submanifold. An immersed submanifold of a manifold M is the image S of an immersion map f: N → M; in general this image will not be a submanifold as a subset, and an immersion map need not even be injective (one-to-one) – it can have self-intersections.. More narrowly, one can require that the map f: N → M be an injection (one-to-one), in which we call it an injective immersion, and define an immersed submanifold to be the image subset S together with a topology and differential structure such that S is a manifold and the inclusion f is a diffeomorphism: this is just the topology on N, which in general will not agree with the subset topology: in general the subset S is not a submanifold of M, in the subset topology. Given any injective immersion f : N → M the image of N in M can be uniquely given the structure of an immersed submanifold so that f : N → f(N) is a diffeomorphism. It follows that immersed submanifolds are precisely the images of injective immersions.
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In EGA III, Grothendieck calls the following statement which does not involve connectedness a "Main theorem" of Zariski : :If f:X->Y is a quasi-projective morphism of Noetherian schemes then the set of points that are isolated in their fiber is open in X. Moreover the induced scheme of this set is isomorphic to an open subset of a scheme that is finite over Y. In EGA IV, Grothendieck observed that the last statement could be deduced from a more general theorem about the structure of quasi-finite morphisms, and the latter is often referred to as the "Zariski's main theorem in the form of Grothendieck". It is well known that open immersions and finite morphisms are quasi-finite. Grothendieck proved that under the hypothesis of separatedness all quasi-finite morphisms are compositions of such : :if Y is a quasi-compact separated scheme and f: X \to Y is a separated, quasi-finite, finitely presented morphism then there is a factorization into X \to Z \to Y, where the first map is an open immersion and the second one is finite. The relation between this theorem about quasi-finite morphisms and Théorème 4.4.
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