In mathematics, an open book decomposition (or simply an open book) is a decomposition of a closed oriented 3-manifold M into a union of surfaces (necessarily with boundary) and solid tori. Open books have relevance to contact geometry, with a famous theorem of Emmanuel Giroux (given below) that shows that contact geometry can be studied from an entirely topological viewpoint.
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In mathematics, an openbookdecomposition (or simply an openbook) is a decomposition of a closed oriented 3-manifold M into a union of surfaces (necessarily...
French geometer known for his research on contact geometry and openbookdecompositions. Giroux has Marfan syndrome, because of which he became blind at...
at Tahquitz Rock, California Open-book accounting Open-book contract OpenbookdecompositionOpen-book management OpenBook, a center for literary and visual...
linear algebra, the Cholesky decomposition or Cholesky factorization (pronounced /ʃəˈlɛski/ shə-LES-kee) is a decomposition of a Hermitian, positive-definite...
Manifold decomposition works in two directions: one can start with the smaller pieces and build up a manifold, or start with a large manifold and decompose it...
orbit; for example, for any contact manifold there is a compatible openbookdecomposition, whose binding is a closed Reeb orbit. This is not enough to prove...
field or rotation field. This decomposition does not exist for all vector fields and is not unique. The Helmholtz decomposition in three dimensions was first...
the decomposition of a human corpse from the time of death to the time of decay. The aim was to gain a better understanding of the decomposition process...
singularity. A knot is fibered if and only if it is the binding of some openbookdecomposition of S 3 {\displaystyle S^{3}} . (−2,3,7) pretzel knot Fintushel...
homology using Giroux's relation between contact manifolds and openbookdecompositions, and it comes for free, as the homology class of the empty set...
include the following: decomposition of carbonate ores, as in the calcination of limestone to drive off carbon dioxide; decomposition of hydrated minerals...
are independent, which makes domain decomposition methods suitable for parallel computing. Domain decomposition methods are typically used as preconditioners...
God — Book of the Dead, spell 22 23. Concerned with the Opening of the Mouth ritual. The words include: My mouth is opened, by mouth is split open by Shu...
Open energy system models are energy system models that are open source. However, some of them may use third party proprietary software as part of their...
ways of decomposition are possible, the shorter decomposition is considered to be correct. Completeness (完整) – if multiple ways of decomposition with the...
Chemicals emitted during decomposition attract necrophilic insects, those that feed on dead creatures. These insects hasten the decomposition process by aiding...
bicarbonate to act as a raising agent in baking because of thermal decomposition, releasing carbon dioxide at temperatures above 80 °C (180 °F), as follows:...
is Verb, and the other forms are derived transformationally. Lexical decomposition was used to draw the syntactic stretch of sentences relaying the semantic...
body had not decomposed at all or to interpret signs of decomposition as signs of continued life. Corpses swell as gases from decomposition accumulate in...
covers up forensic evidence turn heater up as high as it goes → speeds decomposition. bleach reacts with luminol just like blood → douse area with bleach...
photograph of Rosalia Lombardo shows the mummy is beginning to show signs of decomposition, most notably discoloration. Her body is starting to take on a yellow...
Non-Negative Matrix-Tri Factorization (NMTF), Non-Negative Tensor Decomposition/Factorization (NTF/NTD) etc. The non-negativity constraints on coefficients...
Inquisitor" from Book V, and the three conversations with Smerdyakov and the subsequent chapter "Ivan's nightmare of the devil" in Book XI. Book V, entitled...
Simple: need not deal with message passing as MPI does. Data layout and decomposition is handled automatically by directives. Scalability comparable to MPI...
remains by treating them (in its modern form with chemicals) to forestall decomposition. This is usually done to make the deceased suitable for viewing as part...
doi:10.1007/978-3-319-44914-2_9. In P: Seymour, P. D. (June 1980). "Decomposition of regular matroids" (PDF). Journal of Combinatorial Theory, Series...
happens around the second week of decomposition. Gas accumulation and bloating will continue until the body is decomposed sufficiently for the gas to escape...
gases. This kind of postmortem delivery occurs very rarely during the decomposition of a body. The practice of chemical preservation, whereby chemical preservatives...
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