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83,700 | In mathematics, in linear algebra, a Weyr canonical form (or, Weyr form or Weyr matrix) is a square matrix which (in some sense) induces "nice" properties with matrices it commutes with. It also has a particularly simple structure and the conditions for possessing a Weyr form are fairly weak, making it a suitable tool ... | Weyr canonical form | 0.783682 |
83,701 | Organoscandium chemistry is an area with organometallic compounds focused on compounds with at least one carbon to scandium chemical bond. The interest in organoscandium compounds is mostly academic but motivated by potential practical applications in catalysis, especially in polymerization. A common precursor is scand... | Organoscandium chemistry | 0.783681 |
83,702 | The invertible sheaves, or line bundles, on the projective space P k n , {\displaystyle \mathbb {P} _{k}^{n},\,} for k a field, are exactly the twisting sheaves O ( m ) , m ∈ Z , {\displaystyle {\mathcal {O}}(m),\ m\in \mathbb {Z} ,} so the Picard group of P k n {\displaystyle \mathbb {P} _{k}^{n}} is isomorphic to Z {... | Algebraic geometry of projective spaces | 0.78368 |
83,703 | The concept of a Projective space plays a central role in algebraic geometry. This article aims to define the notion in terms of abstract algebraic geometry and to describe some basic uses of projective spaces. | Algebraic geometry of projective spaces | 0.78368 |
83,704 | Projective space Projective geometry Homogeneous polynomial | Algebraic geometry of projective spaces | 0.78368 |
83,705 | Let k be an algebraically closed field, and V be a finite-dimensional vector space over k. The symmetric algebra of the dual vector space V* is called the polynomial ring on V and denoted by k. It is a naturally graded algebra by the degree of polynomials. The projective Nullstellensatz states that, for any homogeneous... | Algebraic geometry of projective spaces | 0.78368 |
83,706 | The tautological bundle, which appears for instance as the exceptional divisor of the blowing up of a smooth point is the sheaf O ( − 1 ) {\displaystyle {\mathcal {O}}(-1)} . The canonical bundle K ( P k n ) , {\displaystyle {\mathcal {K}}(\mathbb {P} _{k}^{n}),\,} is O ( − ( n + 1 ) ) {\displaystyle {\mathcal {O}}(-(n... | Algebraic geometry of projective spaces | 0.78368 |
83,707 | As Fano varieties, the projective spaces are ruled varieties. The intersection theory of curves in the projective plane yields the Bézout theorem. | Algebraic geometry of projective spaces | 0.78368 |
83,708 | It can be noted that the ring of global sections of this scheme is a field, which implies that the scheme is not affine. Any two open sets intersect non-trivially: ie the scheme is irreducible. When the field k is algebraically closed, P ( V ) {\displaystyle \mathbb {P} (V)} is in fact an abstract variety, that further... | Algebraic geometry of projective spaces | 0.78368 |
83,709 | In operator theory, a branch of mathematics, every Banach algebra can be associated with a group called its abstract index group. | Abstract index group | 0.78368 |
83,710 | In plant biology, the perforations in a perforate leaf are also described as fenestrae, and the leaf is called a fenestrate leaf. The leaf window is also known as a fenestra, and is a translucent structure that transmits light, as in Fenestraria. Examples of fenestrate structures in the fungal kingdom include the symme... | Vessel fenestrations | 0.78368 |
83,711 | Of the four halides, ZnF2 has the most ionic character, while the others (ZnCl2, ZnBr2, and ZnI2) have relatively low melting points and are considered to have more covalent character.In weak basic solutions containing Zn2+ ions, the hydroxide Zn(OH)2 forms as a white precipitate. In stronger alkaline solutions, this h... | Zinc | 0.783678 |
83,712 | Organozinc chemistry is the science of compounds that contain carbon-zinc bonds, describing the physical properties, synthesis, and chemical reactions. Many organozinc compounds are commercially important. Among important applications are: The Frankland-Duppa Reaction in which an oxalate ester (ROCOCOOR) reacts with an... | Zinc | 0.783678 |
83,713 | Just as the integer lattice divides the plane into squares, an arbitrary lattice divides its space into fundamental regions (called parallelotopes) with the property that any one of these regions can be translated onto any other of them by adding the coordinates of a unique lattice point. If L {\displaystyle L} is the ... | Blichfeldt's theorem | 0.783677 |
83,714 | On the other hand, if the whole unit square were covered with multiplicity n − 1 {\displaystyle n-1} its area would be n − 1 {\displaystyle n-1} , less than A {\displaystyle A} . Therefore, some point p {\displaystyle p} of the unit square must be covered with multiplicity at least n {\displaystyle n} . A translation t... | Blichfeldt's theorem | 0.783677 |
83,715 | The theorem can be stated most simply for points in the Euclidean plane, and for the integer lattice in the plane. For this version of the theorem, let S {\displaystyle S} be any measurable set, let A {\displaystyle A} denote its area, and round this number up to the next integer value, n = ⌈ A ⌉ {\displaystyle n=\lcei... | Blichfeldt's theorem | 0.783677 |
83,716 | Blichfeldt's theorem is a mathematical theorem in the geometry of numbers, stating that whenever a bounded set in the Euclidean plane has area A {\displaystyle A} , it can be translated so that it includes at least ⌈ A ⌉ {\displaystyle \lceil A\rceil } points of the integer lattice. Equivalently, every bounded set of a... | Blichfeldt's theorem | 0.783677 |
83,717 | Analogues of Blichfeldt's theorem have been proven for other sets of points than lattices, showing that large enough regions contain many points from these sets. These include a theorem for Fuchsian groups, lattice-like subsets of 2 × 2 {\displaystyle 2\times 2} matrices, and for the sets of vertices of Archimedean til... | Blichfeldt's theorem | 0.783677 |
83,718 | A computational problem related to Blichfeldt's theorem has been shown to be complete for the PPP complexity class, and therefore unlikely to be solvable in polynomial time. The problem takes as input a set of integer vectors forming the basis of a d {\displaystyle d} -dimensional lattice Λ {\displaystyle \Lambda } , a... | Blichfeldt's theorem | 0.783677 |
83,719 | Minkowski's theorem, proved earlier than Blichfeldt's work by Hermann Minkowski, states that any convex set in the plane that is centrally symmetric around the origin, with area greater than four (or a compact symmetric set with area equal to four) contains a nonzero integer point. More generally, for a d {\displaystyl... | Blichfeldt's theorem | 0.783677 |
83,720 | However, in many cases a given non-convex set X {\displaystyle X} has a subset Y ⊂ X {\displaystyle Y\subset X} that is larger than 1 2 K {\displaystyle {\tfrac {1}{2}}K} , whose pairwise differences belong to X {\displaystyle X} . When this is the case, the larger size of Y {\displaystyle Y} relative to 1 2 K {\displa... | Blichfeldt's theorem | 0.783677 |
83,721 | Many applications of Blichfeldt's theorem, like the application to Minkowski's theorem, involve finding a nonzero lattice point in a large-enough set, but one that is not convex. For the proof of Minkowski's theorem, the key relation between the sets X {\displaystyle X} and 1 2 X {\displaystyle {\tfrac {1}{2}}X} that m... | Blichfeldt's theorem | 0.783677 |
83,722 | Squared deviations from the mean (SDM) result from squaring deviations. In probability theory and statistics, the definition of variance is either the expected value of the SDM (when considering a theoretical distribution) or its average value (for actual experimental data). Computations for analysis of variance involv... | Squared deviations from the mean | 0.783676 |
83,723 | They are "fields" in the category of ring spectra. In other words every module spectrum over K(n) is free, i.e. a wedge of suspensions of K(n). They are complex oriented (at least after being periodified by taking the wedge sum of (pn − 1) shifted copies), and the formal group they define has height n. Every finite p-l... | Morava K-theory | 0.783676 |
83,724 | In stable homotopy theory, a branch of mathematics, Morava K-theory is one of a collection of cohomology theories introduced in algebraic topology by Jack Morava in unpublished preprints in the early 1970s. For every prime number p (which is suppressed in the notation), it consists of theories K(n) for each nonnegative... | Morava K-theory | 0.783676 |
83,725 | The PGRP and GERG are subsidiaries of the Department of Psychiatry and the Department of Human and Molecular Genetics, respectively, at the VCU School of Medicine. The Institute's associate director is Michael Neale. In 2017, the Virginia General Assembly passed a bill commending Kendler and the VIPBG, describing the l... | Virginia Institute for Psychiatric and Behavioral Genetics | 0.783673 |
83,726 | The Virginia Institute for Psychiatric and Behavioral Genetics (abbreviated VIPBG) is a human genetics research center, located at Virginia Commonwealth University (VCU), that aims to study the role played by genetic factors in the etiology of psychiatric conditions and substance abuse. It was co-founded in 1996 by VCU... | Virginia Institute for Psychiatric and Behavioral Genetics | 0.783673 |
83,727 | In geometry, an envelope of a planar family of curves is a curve that is tangent to each member of the family at some point, and these points of tangency together form the whole envelope. Classically, a point on the envelope can be thought of as the intersection of two "infinitesimally adjacent" curves, meaning the lim... | Envelope (mathematics) | 0.783673 |
83,728 | A reflective caustic will generically consist of smooth points and ordinary cusp points. From the point of view of the calculus of variations, Fermat's principle (in its modern form) implies that light rays are the extremals for the length functional L = ∫ a b | γ ′ ( t ) | d t {\displaystyle L=\int _{a}^{b}|\gamma '(... | Envelope (mathematics) | 0.783673 |
83,729 | The Monge cone is a cone field in the Rn+1 of the (x,u) variables cut out by the envelope of the tangent spaces to the first order PDE at each point. A solution of the PDE is then an envelope of the cone field. In Riemannian geometry, if a smooth family of geodesics through a point P in a Riemannian manifold has an env... | Envelope (mathematics) | 0.783673 |
83,730 | Envelopes can be used to construct more complicated solutions of first order partial differential equations (PDEs) from simpler ones. Let F(x,u,Du) = 0 be a first order PDE, where x is a variable with values in an open set Ω ⊂ Rn, u is an unknown real-valued function, Du is the gradient of u, and F is a continuously di... | Envelope (mathematics) | 0.783673 |
83,731 | Envelopes are connected to the study of ordinary differential equations (ODEs), and in particular singular solutions of ODEs. Consider, for example, the one-parameter family of tangent lines to the parabola y = x2. These are given by the generating family F(t,(x,y)) = t2 – 2tx + y. The zero level set F(t0,(x,y)) = 0 gi... | Envelope (mathematics) | 0.783673 |
83,732 | In string art it is common to cross-connect two lines of equally spaced pins. What curve is formed? For simplicity, set the pins on the x- and y-axes; a non-orthogonal layout is a rotation and scaling away. A general straight-line thread connects the two points (0, k−t) and (t, 0), where k is an arbitrary scaling const... | Envelope (mathematics) | 0.783673 |
83,733 | Malleability of intelligence describes the processes by which intelligence can increase or decrease over time and is not static. These changes may come as a result of genetics, pharmacological factors, psychological factors, behavior, or environmental conditions. Malleable intelligence may refer to changes in cognitive... | Malleable intelligence | 0.78367 |
83,734 | The dispute between Liebig and Pasteur had, in a way, slowed down the advances of science and medicine in the area of fermentation, alcohol fermentation, and the enzymes. On the other hand, the conflicting ideas sped up the research in the area of fermentation and enzymes through other scientists and chemists. Through ... | Liebig–Pasteur dispute | 0.78367 |
83,735 | Liebig, Berzelius, and Wohler rejected the ideas of Schwann, Latour and Kutzing. In 1839, Liebig and Wohler published a paper on the role of yeast in alcoholic fermentation. In 1858, Liebig's student Moritz Traube enunciated the theorem, which was used for alcoholic fermentation, that all fermentations produced by livi... | Liebig–Pasteur dispute | 0.78367 |
83,736 | This journal is abstracted and indexed by: Biological Abstracts BIOSIS Previews Biotechnology Citation Index EMBASE MEDLINE Science Citation Index Expanded Scopus | Nanomedicine (Elsevier journal) | 0.783669 |
83,737 | Nanomedicine: Nanotechnology, Biology and Medicine is a peer-reviewed medical journal published bimonthly by Elsevier. It covers research on nanoscience and nanotechnology applied to the life sciences and medicine. This includes basic, translational, and clinical research. Publishing formats include original articles, ... | Nanomedicine (Elsevier journal) | 0.783669 |
83,738 | {\displaystyle X.} The seminorms p {\displaystyle p} and q {\displaystyle q} are called equivalent if they are both weaker (or both stronger) than each other. This happens if they satisfy any of the following conditions: The topology on X {\displaystyle X} induced by q {\displaystyle q} is the same as the topology indu... | Seminormed space | 0.783663 |
83,739 | The notions of stronger and weaker seminorms are akin to the notions of stronger and weaker norms. If p {\displaystyle p} and q {\displaystyle q} are seminorms on X , {\displaystyle X,} then we say that q {\displaystyle q} is stronger than p {\displaystyle p} and that p {\displaystyle p} is weaker than q {\displaystyle... | Seminormed space | 0.783663 |
83,740 | In mathematics, particularly in functional analysis, a seminorm is a vector space norm that need not be positive definite. Seminorms are intimately connected with convex sets: every seminorm is the Minkowski functional of some absorbing disk and, conversely, the Minkowski functional of any such set is a seminorm. A top... | Seminormed space | 0.783663 |
83,741 | Pico is a programming language developed at the Software Languages Lab at Vrije Universiteit Brussel. The language was created to introduce the essentials of programming to non-computer science students. Pico can be seen as an effort to generate a palatable and enjoyable language for people who do not want to study har... | Pico (programming language) | 0.783662 |
83,742 | Pico has the following types: string, integer, real and tables. It does not have a native char type, so users should resort to size 1 strings. Tables are compound data structures that may contain any of the regular data types. Boolean types are represented by functions (as in lambda calculus). | Pico (programming language) | 0.783662 |
83,743 | Power Surfacing functions as a generative design tool, generating iterative, evolutionary results based on initial constraints.This tool is commonly used to optimize manufacturing processes for parts in various industries, such as automotive, packaging design, and medical implants.Power Surfacing can also reverse-engin... | Power Surfacing | 0.783661 |
83,744 | The term "semimetal" has a different definition in physics than it does in chemistry: bismuth is a semimetal by physical definitions, but chemists generally consider it a metal. A few terms are widely used, but without any very formal definition, such as "heavy metal", which has been given such a wide range of definiti... | Mendeleev's table | 0.783661 |
83,745 | IUPAC recommends the names lanthanoids and actinoids to avoid ambiguity, as the -ide suffix typically denotes a negative ion; however lanthanides and actinides remain common. With the increasing recognition of lutetium and lawrencium as d-block elements, some authors began to define the lanthanides as La–Yb and the act... | Mendeleev's table | 0.783661 |
83,746 | Paudel and Saenger worked at the Department of Civil Engineering, Darmstadt University of Applied Sciences, and were influential in research behind the Dethridge wheel. They worked to develop a three-dimensional CAD model of the wheel and ran tests to measure flow characteristics and different physical aspects. The dev... | Dethridge wheel | 0.783661 |
83,747 | Additionally, the Northern Victoria Irrigation Renewals project worked closely with community groups and government agencies to bring modernization to the Goulburn Murray irrigation District (GMID). The significance behind the Goulburn Murray Irrigation District is supported by irrigation statistics. The Goulburn Murra... | Dethridge wheel | 0.783661 |
83,748 | The Dethridge wheel was used as a hydroelectric power generator and it was used in experiments by many different scientific studies. Its importance as a low head power generator was backed up by statistics relating to hydropower. Out of all the world's total renewable and green electricity supply, hydropower makes up 7... | Dethridge wheel | 0.783661 |
83,749 | Conway (1968) calculated the order of the automorphism group of the Leech lattice, and, working with John G. Thompson, discovered three new sporadic groups as a by-product: the Conway groups, Co1, Co2, Co3. They also showed that four other (then) recently announced sporadic groups, namely, Higman-Sims, Suzuki, McLaughl... | Leech lattice | 0.783657 |
83,750 | Most quantizers are based on the one-dimensional integer lattice, but using multi-dimensional lattices reduces the RMS error. The Leech lattice is a good solution to this problem, as the Voronoi cells have a low second moment. The vertex algebra of the two-dimensional conformal field theory describing bosonic string th... | Leech lattice | 0.783657 |
83,751 | Survey Camp is an army tradition that was discontinued in the later part of twentieth century but was reinstated in 2002 across the universities of the world with a whole new structure. It is the civil engineering training course for two weeks usually after completion four semesters of bachelor of technology that consi... | Survey camp | 0.783656 |
83,752 | In mathematical logic, the Friedman translation is a certain transformation of intuitionistic formulas. Among other things it can be used to show that the Π02-theorems of various first-order theories of classical mathematics are also theorems of intuitionistic mathematics. It is named after its discoverer, Harvey Fried... | Friedman translation | 0.783655 |
83,753 | The Friedman translation can be used to show the closure of many intuitionistic theories under the Markov rule, and to obtain partial conservativity results. The key condition is that the Δ 0 0 {\displaystyle \Delta _{0}^{0}} sentences of the logic be decidable, allowing the unquantified theorems of the intuitionistic ... | Friedman translation | 0.783655 |
83,754 | From 2001 to 2002 this inclined geometry was confirmed by the same means, by core helium-burning red clump stars, and by the tip of the red giant branch. All three papers find an inclination of ~35°, where a face-on galaxy has an inclination of 0°. Further work on the structure of the LMC using the kinematics of carbon... | Large Magellanic Cloud | 0.783654 |
83,755 | An X-ray astronomy instrument was carried aboard a Thor missile launched from the same atoll on September 24, 1970, at 12:54 UTC and altitudes above 300 km (190 mi), to search for the Small Magellanic Cloud and to extend observation of the LMC. The source in the LMC appeared extended and contained star ε Dor. The X-ray... | Large Magellanic Cloud | 0.783654 |
83,756 | In the geometry of hyperbolic 3-space, the order-5 icosahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,5,5}. It has five icosahedra, {3,5}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many icosahedra existing around... | Order-5 icosahedral honeycomb | 0.783653 |
83,757 | In physics, a "coffee ring" is a pattern left by a puddle of particle-laden liquid after it evaporates. The phenomenon is named for the characteristic ring-like deposit along the perimeter of a spill of coffee. It is also commonly seen after spilling red wine. The mechanism behind the formation of these and similar rin... | Coffee ring effect | 0.783652 |
83,758 | As shown by Greene, Morrison & Strominger (1995), this provides the string-theoretic description of the topology-change via the conifold transition originally described by Candelas, Green & Hübsch (1990), who also invented the term "conifold" and the diagram for the purpose. The two topologically distinct ways of smoot... | Conifold | 0.783652 |
83,759 | The neighbourhood of this singular point looks like a cone whose base is topologically just. In the context of string theory, the geometrically singular conifolds can be shown to lead to completely smooth physics of strings. The divergences are "smeared out" by D3-branes wrapped on the shrinking three-sphere in Type II... | Conifold | 0.783652 |
83,760 | Conifolds are important objects in string theory: Brian Greene explains the physics of conifolds in Chapter 13 of his book The Elegant Universe—including the fact that the space can tear near the cone, and its topology can change. This possibility was first noticed by Candelas et al. (1988) and employed by Green & Hübs... | Conifold | 0.783652 |
83,761 | In mathematics and string theory, a conifold is a generalization of a manifold. Unlike manifolds, conifolds can contain conical singularities, i.e. points whose neighbourhoods look like cones over a certain base. In physics, in particular in flux compactifications of string theory, the base is usually a five-dimensiona... | Conifold | 0.783652 |
83,762 | The 2009 Director of the Intelligent Robotics Group Terry Fong stated in an interview that IRG conducts applied research in a wide range of areas, including computer vision, geospatial data systems, human–robot interaction, interactive 3-D visualization and robot software architecture. In 2009, we co-developed "Mars in... | Intelligent Robotics Group | 0.783651 |
83,763 | Intelligent Robotics Group (IRG) is a division of the Ames Research Center at Moffett Federal Airfield in California's Silicon Valley. | Intelligent Robotics Group | 0.783651 |
83,764 | SketchUp is a suite of subscription products that include SketchUp Pro Desktop, a 3D modeling computer-aided design (CAD) program for a broad range of drawing and design applications — including architectural, interior design, industrial and product design, landscape architecture, civil and mechanical engineering, thea... | Google SketchUp | 0.783646 |
83,765 | Let k {\displaystyle k} be a positive integer. In number theory, the Jordan's totient function J k ( n ) {\displaystyle J_{k}(n)} of a positive integer n {\displaystyle n} equals the number of k {\displaystyle k} -tuples of positive integers that are less than or equal to n {\displaystyle n} and that together with n {\... | Jordan's totient function | 0.783645 |
83,766 | N,N-Diisopropylethylamine, or Hünig's base, is an organic compound that is a tertiary amine. It is named after the German chemist Siegfried Hünig. It is used in organic chemistry as a non-nucleophilic base. It is commonly abbreviated as DIPEA, DIEA, or i-Pr2NEt. | N,N-Diisopropylethylamine | 0.783645 |
83,767 | Magnetic materials in the sensor itself are the primary cause of this error. In some magnetometers, such as the vapor magnetometers (caesium, potassium, etc.), there are sources of heading error in the physics that contribute small amounts to the total heading error. Console noise comes from magnetic components on or w... | SQUID magnetometers | 0.783644 |
83,768 | The understanding that Mendelian genetics could both preserve discrete variations indefinitely, and support continuous variation for natural selection to work on gradually, meant that most biologists from around 1918 onwards accepted natural selection as the driving force of evolution. Mutationism and other alternative... | Mutationism | 0.783641 |
83,769 | By 1912, after years of work on the genetics of Drosophila fruit flies, Thomas Hunt Morgan showed that these animals had many small Mendelian factors on which Darwinian evolution could work as if variation was fully continuous. The way was open for geneticists to conclude that Mendelism supported Darwinism. | Mutationism | 0.783641 |
83,770 | Mutationism, along with other alternatives to Darwinism like Lamarckism and orthogenesis, was discarded by most biologists as they came to see that Mendelian genetics and natural selection could readily work together; mutation took its place as a source of the genetic variation essential for natural selection to work o... | Mutationism | 0.783641 |
83,771 | In this portrayal, mutationism was defeated by a synthesis of genetics and natural selection that supposedly started later, around 1918, with work by the mathematician Ronald Fisher. However, the alignment of Mendelian genetics and natural selection began as early as 1902 with a paper by Udny Yule, and built up with th... | Mutationism | 0.783641 |
83,772 | For example, in 1822 Étienne Geoffroy Saint-Hilaire argued that species could be formed by sudden transformations, or what would later be called macromutation. Darwin opposed saltation, insisting on gradualism in evolution as geology's uniformitarianism. In 1864, Albert von Kölliker revived Geoffroy's theory. | Mutationism | 0.783641 |
83,773 | Pat. No. 2,982,853) but it took until the 1970s to design practical implementations of the receiver. Radio astronomers were the first substantial users of rake receivers in the late 1960s to mid-1980s as this kind of receiver could scan large sky regions yet not create large volumes of data beyond what most data record... | Flexible rake receiver | 0.78364 |
83,774 | According to Stewart: "Here it is possible to work rationally toward a decision, but doing so requires refined judgment and expertise. ... This is the province of engineers, surgeons, intelligence analysts, lawyers, and other experts. Artificial intelligence copes well here: Deep Blue plays chess as if it were a compli... | Cynefin framework | 0.78364 |
83,775 | In the geometry of hyperbolic 3-space, the tetrahedral-icosahedral honeycomb is a compact uniform honeycomb, constructed from icosahedron, tetrahedron, and octahedron cells, in an icosidodecahedron vertex figure. It has a single-ring Coxeter diagram , and is named by its two regular cells. A geometric honeycomb is a sp... | Tetrahedral-icosahedral honeycomb | 0.783637 |
83,776 | Materials typically account for a large portion of a construction project's budget. Materials may account for more than 70% of a construction project's cost. Despite these statistics, when project budgets and efficiency are considered, labour and cost reduction are discussed. | Materials Management | 0.783635 |
83,777 | For example, unique gravitational effects are caused by the oceans on Earth or the rings of Saturn.Donald Lynden-Bell, a British theoretical astrophysicist, constructed the equation for calculating the conditions and effects of self gravitation. The equation's main purpose is to give exact descriptions of models for ro... | Self-gravitation | 0.783634 |
83,778 | Self-gravity is gravitational force exerted by a system, particularly a celestial body or system of bodies, onto itself. At a sufficient mass, this allows the system to hold itself together. The effects of self-gravity have significance in the fields of astronomy, physics, seismology, geology, and oceanography.The stre... | Self-gravitation | 0.783634 |
83,779 | Maternal–fetal medicine specialists are obstetrician-gynecologists who undergo an additional 3 years of specialized training in the assessment and management of high-risk pregnancies. In the United States, such obstetrician-gynecologists are certified by the American Board of Obstetrician Gynecologists (ABOG) or the Am... | Maternal–fetal medicine | 0.783634 |
83,780 | Maternal–fetal medicine (MFM), also known as perinatology, is a branch of medicine that focuses on managing health concerns of the mother and fetus prior to, during, and shortly after pregnancy. Maternal–fetal medicine specialists are physicians who subspecialize within the field of obstetrics. Their training typically... | Maternal–fetal medicine | 0.783634 |
83,781 | Grafting and biotechnology have produced usable and useful protective covering of actual human skin generated through cloning procedures. These improvements, coupled with the developments in tissue engineering, have given rise to a number of new classes of wound dressings. One of these, "living skin equivalents, " is o... | Wound care | 0.783632 |
83,782 | On this strip, we have (cf. Ramanujan's master theorem) Γ ( s + 1 ) ζ ( − 2 s ) = M ( R i e s z ( z ) ) {\displaystyle {\frac {\Gamma (s+1)}{\zeta (-2s)}}={\mathbf {M} }({\rm {Riesz}}(z))} From the inverse Mellin transform, we now get an expression for the Riesz function, as R i e s z ( z ) = ∫ c − i ∞ c + i ∞ Γ ( s + ... | Riesz criterion | 0.783631 |
83,783 | OpenVINO toolkit (Open Visual Inference and Neural network Optimization) is a free toolkit facilitating the optimization of a deep learning model from a framework and deployment using an inference engine onto Intel hardware. The toolkit has two versions: OpenVINO toolkit, which is supported by open source community and... | OpenVINO | 0.78363 |
83,784 | Open Model Zoo is licensed under Apache License version 2.0. Along with the primary components of model optimization and runtime within Intel® Distribution of OpenVINO toolkit, the toolkit also includes a user-friendly web browser interface called the Deep Learning Workbench to aid in model analysis and experimentation... | OpenVINO | 0.78363 |
83,785 | The high level pipeline of OpenVINO consists of two parts: generate IR (Intermediate Representation) files via Model Optimizer using your trained model or public one and execute inference on Inference Engine on specified plugins (CPU, Intel Processor Graphics, VPU, GNA, Multi-Device plugin, Heterogeneous plugin)The too... | OpenVINO | 0.78363 |
83,786 | In probability theory, a Pitman–Yor process denoted PY(d, θ, G0), is a stochastic process whose sample path is a probability distribution. A random sample from this process is an infinite discrete probability distribution, consisting of an infinite set of atoms drawn from G0, with weights drawn from a two-parameter Poi... | Pitman–Yor process | 0.78363 |
83,787 | Let X1, X2, . . . be a sequence of random variables on a probability space ( Ω , F , P ) {\displaystyle \scriptstyle (\Omega ,{\mathcal {F}},\mathbb {P} )} and let G ⊂ F {\displaystyle \scriptstyle {\mathcal {G}}\,\subset \,{\mathcal {F}}} be a sub-σ-algebra. If the negative parts X n − := max { − X n , 0 } , n ∈ N , {... | Fatou's lemma | 0.783629 |
83,788 | In mathematics, Fatou's lemma establishes an inequality relating the Lebesgue integral of the limit inferior of a sequence of functions to the limit inferior of integrals of these functions. The lemma is named after Pierre Fatou. Fatou's lemma can be used to prove the Fatou–Lebesgue theorem and Lebesgue's dominated con... | Fatou's lemma | 0.783629 |
83,789 | The Beilinson–Bernstein–Deligne definition of a perverse sheaf proceeds through the machinery of triangulated categories in homological algebra and has a very strong algebraic flavour, although the main examples arising from Goresky–MacPherson theory are topological in nature because the simple objects in the category ... | Perverse sheaves | 0.783627 |
83,790 | Tristan Hubsch and Abdul Rahman (T. Hubsch and A. Rahman, 2005) worked to solve the Hubsch conjecture by analyzing the non-transversal case of Witten's gauged linear sigma model (E. Witten, 1993) which induces a stratification of these algebraic varieties (termed the ground state variety) in the case of isolated conica... | Perverse sheaves | 0.783627 |
83,791 | These singular target spaces, i.e. conifolds, correspond to certain mild degenerations of algebraic varieties which appear in a large class of supersymmetric theories, including superstring theory (E. Witten, 1982). Essentially, different cohomology theories on singular target spaces yield different results thereby mak... | Perverse sheaves | 0.783627 |
83,792 | The mathematical term perverse sheaves refers to a certain abelian category associated to a topological space X, which may be a real or complex manifold, or a more general topologically stratified space, usually singular. This concept was introduced in the thesis of Zoghman Mebkhout, gaining more popularity after the (... | Perverse sheaves | 0.783627 |
83,793 | Such a singular CY manifold is called a conifold as it is a CY manifold that admits conical singularities. Andrew Strominger observed (A. Strominger, 1995) that conifolds correspond to massless blackholes. Conifolds are important objects in string theory: Brian Greene explains the physics of conifolds in Chapter 13 of ... | Perverse sheaves | 0.783627 |
83,794 | Massless fields in superstring compactifications have been identified with cohomology classes on the target space (i.e. four-dimensional Minkowski space with a six-dimensional Calabi-Yau (CY) manifold). The determination of the matter and interaction content requires a detailed analysis of the (co)homology of these spa... | Perverse sheaves | 0.783627 |
83,795 | IFIP's activities are centered on its 14 Technical Committees, which are divided into Working Groups. These groups, (with names like "WG 2.4 Software Implementation Technology") organise conferences and workshops, distribute technical papers and promote discussion and research outcomes. A full list of IFIP Technical Co... | IFIP TC8 | 0.783625 |
83,796 | Conference and workshop organizers who prefer publication with the IFIP publisher can take advantage of the agreement between IFIP and Springer and publish their proceedings as part of IFIP's Advances in Information and Communication Technology (AICT) series, the Lecture Notes in Computer Science (LNCS) series or the L... | IFIP TC8 | 0.783625 |
83,797 | IFIP TC7 was founded in 1972 by A.V. Balakrishnan, J.L. Lions and M. Marchuk. The aims of this Technical Committee are to provide an international clearing house for computational (as well as related theoretical) aspects of optimization problems in diverse areas and to share computing experience gained on specific appl... | IFIP TC8 | 0.783625 |
83,798 | IFIP TC12 on Artificial Intelligence was established in 1984 and revised in 1991 and 2004. It aims to foster the development and understanding of Artificial Intelligence (AI) and its applications worldwide and to promote interdisciplinary exchanges between AI and other fields of information processing. IFIP TC12 curren... | IFIP TC8 | 0.783625 |
83,799 | The current IFIP TC1, which focuses on Foundations of Computer Science, was established in 1997. There was an earlier TC1, covering Terminology, which was IFIP's first Technical Committee. Formed in 1961, it produced a multilingual dictionary of information-processing terminology but was later disbanded. The working gr... | IFIP TC8 | 0.783625 |
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