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89,200 | We turn now to prove the theorem: Let a(1), ..., a(n) be non-zero algebraic numbers, and α(1), ..., α(n) distinct algebraic numbers. Then let us assume that: a ( 1 ) e α ( 1 ) + ⋯ + a ( n ) e α ( n ) = 0. {\displaystyle a(1)e^{\alpha (1)}+\cdots +a(n)e^{\alpha (n)}=0.} | Hermite–Lindemann theorem | 0.781423 |
89,201 | Alternatively, by the second formulation of the theorem, if α is a non-zero algebraic number, then {0, α} is a set of distinct algebraic numbers, and so the set {e0, eα} = {1, eα} is linearly independent over the algebraic numbers and in particular eα cannot be algebraic and so it is transcendental. To prove that π is ... | Hermite–Lindemann theorem | 0.781423 |
89,202 | The transcendence of e and π are direct corollaries of this theorem. Suppose α is a non-zero algebraic number; then {α} is a linearly independent set over the rationals, and therefore by the first formulation of the theorem {eα} is an algebraically independent set; or in other words eα is transcendental. In particular,... | Hermite–Lindemann theorem | 0.781423 |
89,203 | The theorem is also known variously as the Hermite–Lindemann theorem and the Hermite–Lindemann–Weierstrass theorem. Charles Hermite first proved the simpler theorem where the αi exponents are required to be rational integers and linear independence is only assured over the rational integers, a result sometimes referred... | Hermite–Lindemann theorem | 0.781423 |
89,204 | An analogue of the theorem involving the modular function j was conjectured by Daniel Bertrand in 1997, and remains an open problem. Writing q = e2πiτ for the square of the nome and j(τ) = J(q), the conjecture is as follows. | Hermite–Lindemann theorem | 0.781423 |
89,205 | We will do so by estimating | J 1 ⋯ J n | {\displaystyle |J_{1}\cdots J_{n}|} in two different ways. First f i ( j ) ( α k ) {\displaystyle f_{i}^{(j)}(\alpha _{k})} is an algebraic integer which is divisible by p! for j ≥ p {\displaystyle j\geq p} and vanishes for j < p {\displaystyle j | Hermite–Lindemann theorem | 0.781423 |
89,206 | Proof of Lemma A. To simplify the notation set: n 0 = 0 , n i = ∑ k = 1 i m ( k ) , i = 1 , … , r n = n r , α n i − 1 + j = γ ( i ) j , 1 ≤ i ≤ r , 1 ≤ j ≤ m ( i ) β n i − 1 + j = c ( i ) . {\displaystyle {\begin{aligned}&n_{0}=0,&&\\&n_{i}=\sum \nolimits _{k=1}^{i}m(k),&&i=1,\ldots ,r\\&n=n_{r},&&\\&\alpha _{n_{i-1}+j... | Hermite–Lindemann theorem | 0.781423 |
89,207 | A variant of Lindemann–Weierstrass theorem in which the algebraic numbers are replaced by the transcendental Liouville numbers (or in general, the U numbers) is also known. | Hermite–Lindemann theorem | 0.781423 |
89,208 | The currently accepted taxonomy is based on the List of Prokaryotic names with Standing in Nomenclature (LPSN) and National Center for Biotechnology Information (NCBI). Note: * paraphyletic Halobacteriaceae | Haloarchaea | 0.781423 |
89,209 | The Jordan superalgebras are a parallel set of exceptional objects with supersymmetry. These are the Lie superalgebras which are related to Lorentzian lattices. This subject is less explored, and the connections between the objects are less well established. There are new conjectures parallel to the Monstrous moonshine... | Exceptional object | 0.781421 |
89,210 | Other interesting connections include how the Leech lattice is connected via the Golay code to the adjacency matrix of the dodecahedron (another exceptional object). Below is a mind map showing how some of the exceptional objects in mathematics and mathematical physics are related. The connections can partly be explain... | Exceptional object | 0.781421 |
89,211 | In string theory and superstring theory we often find that particular dimensions are singled out as a result of exceptional algebraic phenomena. For example, bosonic string theory requires a spacetime of dimension 26 which is directly related to the presence of 24 in the Dedekind eta function. Similarly, the possible d... | Exceptional object | 0.781421 |
89,212 | There are only three finite-dimensional associative division algebras over the reals — the real numbers, the complex numbers and the quaternions. The only non-associative division algebra is the algebra of octonions. The octonions are connected to a wide variety of exceptional objects. For example, the exceptional form... | Exceptional object | 0.781421 |
89,213 | There are a few exceptional objects with supersymmetry. The classification of superalgebras by Kac and Tierry-Mieg indicates that the Lie superalgebras G(3) in 31 dimensions and F(4) in 40 dimensions, and the Jordan superalgebras K3 and K10, are examples of exceptional objects. | Exceptional object | 0.781421 |
89,214 | Most sporadic simple groups can be related to the Leech lattice, or more broadly the Monster. The exceptional Jordan algebra has a representation in terms of 24×24 real matrices together with the Jordan product rule.These objects are connected to various other phenomena in math which may be considered surprising but no... | Exceptional object | 0.781421 |
89,215 | Exceptional objects related to the number 8 include the following. The octonions are 8-dimensional. The E8 lattice can be realized as the integral octonions (up to a scale factor). The exceptional Lie groups can be seen as symmetries of the octonions and structures derived from the octonions; further, the E8 algebra is... | Exceptional object | 0.781421 |
89,216 | Exceptional objects must be distinguished from extremal objects: those that fall in a family and are the most extreme example by some measure are of interest, but not unusual in the way exceptional objects are. For example, the golden ratio φ has the simplest continued fraction approximation, and accordingly is most di... | Exceptional object | 0.781421 |
89,217 | For differentiable manifolds, this can happen in dimensions 2, 6, 14, 30, 62, and possibly 126, and in no other dimensions. The final case of dimension 126 remains open. These five or six framed cobordism classes of manifolds having Kervaire invariant 1 are exceptional objects related to exotic spheres. The first three... | Exceptional object | 0.781421 |
89,218 | Many of the exceptional objects in mathematics and physics have been found to be connected to each other. Developments such as the Monstrous moonshine conjectures show how, for example, the Monster group is connected to string theory. The theory of modular forms shows how the algebra E8 is connected to the Monster grou... | Exceptional object | 0.781421 |
89,219 | Many branches of mathematics study objects of a given type and prove a classification theorem. A common theme is that the classification results in a number of series of objects and a finite number of exceptions — often with desirable properties — that do not fit into any series. These are known as exceptional objects. | Exceptional object | 0.781421 |
89,220 | Since the positive combination produces a zero vector on the left and a −1 on the right, the contradiction is apparent. Thus, Farkas' lemma can be viewed as a theorem of logical completeness: A x {\displaystyle Ax} ≤ b {\displaystyle b} is a set of "axioms", the linear combinations are the "derivation rules", and the l... | Farkas' lemma | 0.78142 |
89,221 | It is used amongst other things in the proof of the Karush–Kuhn–Tucker theorem in nonlinear programming. Remarkably, in the area of the foundations of quantum theory, the lemma also underlies the complete set of Bell inequalities in the form of necessary and sufficient conditions for the existence of a local hidden-var... | Farkas' lemma | 0.78142 |
89,222 | Farkas' lemma is a solvability theorem for a finite system of linear inequalities in mathematics. It was originally proven by the Hungarian mathematician Gyula Farkas. Farkas' lemma is the key result underpinning the linear programming duality and has played a central role in the development of mathematical optimizatio... | Farkas' lemma | 0.78142 |
89,223 | Generalized Farkas' lemma can be interpreted geometrically as follows: either a vector is in a given closed convex cone, or there exists a hyperplane separating the vector from the cone; there are no other possibilities. The closedness condition is necessary, see Separation theorem I in Hyperplane separation theorem. F... | Farkas' lemma | 0.78142 |
89,224 | Sodium methoxide is a routinely used base in organic chemistry, applicable to the synthesis of numerous compounds ranging from pharmaceuticals to agrichemicals. As a base, it is employed in dehydrohalogenations and various condensations. It is also a nucleophile for the production of methyl ethers. | Sodium methoxide | 0.781419 |
89,225 | In mathematics, a Generalized Clifford algebra (GCA) is a unital associative algebra that generalizes the Clifford algebra, and goes back to the work of Hermann Weyl, who utilized and formalized these clock-and-shift operators introduced by J. J. Sylvester (1882), and organized by Cartan (1898) and Schwinger.Clock and ... | Generalized Clifford algebra | 0.781413 |
89,226 | The Global Partnership on Artificial Intelligence announced on the margins of the 2018 G7 Summit by Canadian Prime Minister Justin Trudeau and French President Emmanuel Macron, GPAI officially launched on June 15, 2020 with fifteen founding members: Australia, Canada, France, Germany, India, Italy, Japan, Mexico, New Z... | Global Partnership on Artificial Intelligence | 0.781413 |
89,227 | The Global Partnership on Artificial Intelligence (GPAI, pronounced "gee-pay") is an international initiative established to guide the responsible development and use of artificial intelligence (AI) in a manner that respects human rights and the shared democratic values of its members. The partnership was first propose... | Global Partnership on Artificial Intelligence | 0.781413 |
89,228 | In the geometry of hyperbolic 3-space, the octahedron-dodecahedron honeycomb is a compact uniform honeycomb, constructed from dodecahedron, octahedron, and icosidodecahedron cells, in a rhombicuboctahedron vertex figure. It has a single-ring Coxeter diagram, , and is named by its two regular cells. A geometric honeycom... | Octahedral-dodecahedral honeycomb | 0.78141 |
89,229 | The chemistry of lithium shows several differences from that of the rest of the group as the small Li+ cation polarises anions and gives its compounds a more covalent character. Lithium and magnesium have a diagonal relationship due to their similar atomic radii, so that they show some similarities. For example, lithiu... | Lithium family | 0.781408 |
89,230 | The development of type 2 diabetes is caused by a combination of lifestyle and genetic factors. While some of these factors are under personal control, such as diet and obesity, other factors are not, such as increasing age, female sex, and genetics. Obesity is more common in women than men in many parts of Africa. The... | Type 2 diabetes | 0.781408 |
89,231 | Lymph Node – The lymph node values (NX, N0, N1, N2 or N3) depend on the number, size and location of breast cancer cell deposits in various regional lymph nodes, such as the armpit (axillary lymph nodes), the collar area (supraclavicular lymph nodes), and inside the chest (internal mammary lymph nodes.) The armpit is d... | Breast cancer classification | 0.781408 |
89,232 | Traditional DNA classification was based on the general observation that cells that are dividing more quickly have a worse prognosis, and relied on either the presence of protein Ki67 or the percentage of cancer cell DNA in S phase. These methods, and scoring systems that used DNA ploidy, are used much less often now, ... | Breast cancer classification | 0.781408 |
89,233 | The receptor status of breast cancers has traditionally been identified by immunohistochemistry (IHC), which stains the cells based on the presence of estrogen receptors (ER), progesterone receptors (PR) and HER2. This remains the most common method of testing for receptor status, but DNA multi-gene expression profiles... | Breast cancer classification | 0.781408 |
89,234 | HER2/neu status can be analyzed by fluorescent in-situ hybridization (FISH) assays. Some commentators prefer this approach, claiming a higher correlation than receptor immunohistochemistry with response to trastuzumab, a targeted therapy, but guidelines permit either testing method. | Breast cancer classification | 0.781408 |
89,235 | The ratings are thus a measure of whether a university exceeds, meets or falls short of expectations based on the profile of students admitted and subjects taught.The "initial hypothesis" for the ratings is based on six core metrics, for which institutions receive a double-positive flag, a positive flag, no flag, a neg... | Teaching Excellence Framework | 0.781408 |
89,236 | The TEF ratings are based on statistics such as dropout rates, student satisfaction survey results and graduate employment rates. These are assessed by experts in teaching and learning who make a recommendation to a TEF panel, which includes academics and students, that will make the final award. Universities are measu... | Teaching Excellence Framework | 0.781408 |
89,237 | In a QFX3000-M QFabric System, which supports up to 768 10GbE ports, the average end-to-end latency can be as short as 3 microseconds. In QFX3000-G QFabric System, although it supports up to 6,144 10GbE ports, by connecting all nodes in a full-mesh topology, it can achieve an average port-to-port latency of 5 microseco... | QFabric | 0.781407 |
89,238 | QFabric System Components consists of: QFabric Nodes - fixed-configuration edge platforms that connect to networked data center devices QFabric Interconnect - a high-speed transport device that connects all QFabric Nodes in a full-mesh topology QFabric Director - which provides control and management services for the f... | QFabric | 0.781407 |
89,239 | Many of the pseudo simulators feature faster than light travel. Examples of true simulators which aim at piloting a space craft in a manner that conforms with the laws of nature include Orbiter, Kerbal Space Program and Microsoft Space Simulator. Examples of more fantastical video games that bend the rules of physics i... | Space trading and combat | 0.781406 |
89,240 | Some games in the genre aim to recreate a realistic portrayal of space flight, involving the calculation of orbits within a more complete physics simulation than pseudo space flight simulators. Others focus on gameplay rather than simulating space flight in all its facets. The realism of the latter games is limited to ... | Space trading and combat | 0.781406 |
89,241 | Patient registration is used to correlate the reference position of a virtual 3D dataset gathered by computer medical imaging with the reference position of the patient. This procedure is crucial in computer assisted surgery, in order to insure the reproducitibility of the preoperative registration and the clinical sit... | Patient registration | 0.781405 |
89,242 | The Centre for Nanoscience and Quantum Information (abbreviated NSQI) is a research center within the University of Bristol. The center opened in 2009 and was initially intended to serve multiple institutions; however, it was eventually absorbed into the School of Physics of the University of Bristol in 2016. The build... | Centre for Nanoscience and Quantum Information | 0.781403 |
89,243 | A3 hosts the International Robot Safety Conference (IRSC). A3 also hosts an annual Workforce Development Day for students ages 12 and up with industry instructors to lean about technologies and careers related to automation and robotics across industries. | Association for Advancing Automation | 0.7814 |
89,244 | The Association for Advancing Automation (A3) is an international trade group that serves the robotics industry. It was founded in 1974 and is headquartered in Ann Arbor, Michigan. The organization is involved in safety standards for robots, and sponsors robotics conferences. On April 14, 2021 the Robotic Industries As... | Association for Advancing Automation | 0.7814 |
89,245 | The field of herpetology can be divided into areas dealing with particular taxonomic groups such as frogs (batrachology), snakes (ophiology or ophidiology), lizards (saurology) or turtles (cheloniology, chelonology or testudinology).More generally, herpetologists work on functional problems in ecology, evolution, physi... | Herpetology | 0.7814 |
89,246 | Career options in the field of herpetology include, but are not limited to, lab research, field studies and survey, assistance in veterinary and medical procedures, zoological staff, museum staff and college teaching.In modern academic science, it is rare for individuals to consider themselves a herpetologist first and... | Herpetology | 0.7814 |
89,247 | Most colleges or universities do not offer a major in herpetology at the undergraduate or in the graduate level. Instead, persons interested in herpetology select a major in the biological sciences. The knowledge learned about all aspects of the biology of animals is then applied to an individual study of herpetology. | Herpetology | 0.7814 |
89,248 | Many herpetological societies have been formed to promote interest in reptiles and amphibians, both captive and wild. Herpetological studies can offer benefits to studies relevant to humanity- centric fields by the study of the role of amphibians and reptiles in global ecology. Amphibians are often very sensitive to en... | Herpetology | 0.7814 |
89,249 | A Kalman decomposition also exists for linear dynamical quantum systems. Unlike classical dynamical systems, the coordinate transformation used in this variant requires to be in a specific class of transformations due to the physical laws of quantum mechanics. | Kalman decomposition | 0.781397 |
89,250 | On the plot, small vertical tick-marks state individual patients whose survival times have been right-censored. When no truncation or censoring occurs, the Kaplan–Meier curve is the complement of the empirical distribution function. In medical statistics, a typical application might involve grouping patients into categ... | Kaplan–Meier estimator | 0.781394 |
89,251 | The main advantage of FUS is that, unlike most brain-stimulation techniques, it is non-invasive. Whenever the human looks at a specific pattern (strobe light flicker) on a computer screen, the BCI communicates a command to the rat's CBI, which causes ultrasound to be beamed into the region of the rat's motor cortex res... | Remote controlled animal | 0.781393 |
89,252 | United Nations' eighth Secretary-General Ban Ki-moon has said that renewable energy has the ability to lift the poorest nations to new levels of prosperity. At the national level, at least 30 nations around the world already have renewable energy contributing more than 20% of energy supply. Although many countries have... | Non-conventional energy | 0.781392 |
89,253 | A household's solar panels, and batteries if they have them, can often either be used for just that household or if connected to an electrical grid can be aggregated with millions of others. Over 44 million households use biogas made in household-scale digesters for lighting and/or cooking, and more than 166 million ho... | Non-conventional energy | 0.781392 |
89,254 | Manganese isotopic contents are typically combined with chromium isotopic contents and have found application in isotope geology and radiometric dating. Mn−Cr isotopic ratios reinforce the evidence from 26Al and 107Pd for the early history of the Solar System. Variations in 53Cr/52Cr and Mn/Cr ratios from several meteo... | Manganese-63 | 0.781392 |
89,255 | London Routledge. Steffensen, Sune Vork (2007): "Language, Ecology and Society: An introduction to Dialectical Linguistics." In: Bang, Jørgen Christian and Jørgen Døør (eds) Language, Ecology and Society. | Linguistic ecology | 0.781391 |
89,256 | (2009). Language ecology and linguistic landscape analysis. In E. Shohamy & D. Gorter (Eds. | Linguistic ecology | 0.781391 |
89,257 | Plon Fill, A. and Mühlhäusler, P., 2001. Ecolinguistics Reader: Language, Ecology and Environment. Bloomsbury Publishing. | Linguistic ecology | 0.781391 |
89,258 | . Bastardas-Boada, Albert (2002) "Biological and linguistic diversity: Transdisciplinary explorations for a socioecology of languages" Diverscité langues, vol. VII. | Linguistic ecology | 0.781391 |
89,259 | Malden, MA: Wiley-Blackwell. Language Ecology 2016 Mühlhäusler, Peter (1995) Linguistic Ecology; Language Change and Linguistic Imperialism in the Pacific Rim. London: Routledge. | Linguistic ecology | 0.78139 |
89,260 | Ecology and multilingual education. In C. Chapelle (Gen. Ed. | Linguistic ecology | 0.78139 |
89,261 | 2. Bastardas-Boada, Albert (2017). “The ecology of language contact: Minority and majority languages”, in: Alwin F. Fill, Hermine Penz (eds. | Linguistic ecology | 0.78139 |
89,262 | Linguistic ecology or language ecology is the study of how languages interact with each other and the places they are spoken in, and frequently argues for the preservation of endangered languages as an analogy of the preservation of biological species. The term was first used in an article on the "language situation" i... | Linguistic ecology | 0.78139 |
89,263 | Tove Skutnabb-Kangas and David Harmon (2018) write that "There has been a tendency of many sociolinguists to pay only lip service to the literal sense of ‘ecology’ and to focus only on social concerns. They see the ‘eco-’ in ecolinguistics/language ecology as a relationship within and between various languages, speaker... | Linguistic ecology | 0.78139 |
89,264 | Linguistic ecology has sometimes been described as a form of ecolinguistics (e.g., in Fill and Mühlhäusler). However, some studies in language ecology refer only to language within a social context and disregard the ecological context of the living ecosystems and physical environment that life depends on, so could be c... | Linguistic ecology | 0.78139 |
89,265 | Taken together, answering some or all of these questions is part of the enterprise of the ecology of language. Since then the notion of ecology in linguistics has evolved to address matters of social, educational, historical and developmental nature. With the development of ecology as a special branch of biology, and i... | Linguistic ecology | 0.78139 |
89,266 | Linguistic ecology is represented by the journal Language Ecology, which describes the field as follows: The ecology of language is a framework for the study of language as conceptualised primarily in Einar Haugen's 1971/72 work, where he defines language ecology as "the study of interactions between any given language... | Linguistic ecology | 0.78139 |
89,267 | In quantum mechanics, an energy level is degenerate if it corresponds to two or more different measurable states of a quantum system. Conversely, two or more different states of a quantum mechanical system are said to be degenerate if they give the same value of energy upon measurement. The number of different states c... | Quantum degeneracy | 0.78139 |
89,268 | The muon decay width that follows from Fermi's golden rule has dimension of energy, and must be proportional to the square of the amplitude, and thus the square of Fermi's coupling constant ( G F {\displaystyle G_{\text{F}}} ), with over-all dimension of inverse fourth power of energy. By dimensional analysis, this lea... | Mu lepton | 0.78139 |
89,269 | Muons are denoted by μ− and antimuons by μ+. Formerly, muons were called mu mesons, but are not classified as mesons by modern particle physicists (see § History), and that name is no longer used by the physics community. | Mu lepton | 0.78139 |
89,270 | The muon's anomalous magnetic dipole moment is also sensitive to contributions from new physics beyond the Standard Model, such as supersymmetry. For this reason, the muon's anomalous magnetic moment is normally used as a probe for new physics beyond the Standard Model rather than as a test of QED. Muon g−2, a new expe... | Mu lepton | 0.78139 |
89,271 | In the eventual Standard Model of particle physics codified in the 1970s, all mesons other than the mu meson were understood to be hadrons – that is, particles made of quarks – and thus subject to the nuclear force. In the quark model, a meson was no longer defined by mass (for some had been discovered that were very m... | Mu lepton | 0.78139 |
89,272 | The fact that the mesotron (i.e. the muon) was not Yukawa's particle was established in 1946 by an experiment conducted by Marcello Conversi, Oreste Piccioni, and Ettore Pancini in Rome. In this experiment, which Luis Walter Alvarez called the "start of modern particle physics" in 1968 his Nobel lecture, they showed th... | Mu lepton | 0.78139 |
89,273 | Many theories studied in high-energy physics admit conformal symmetry due to it typically being implied by local scale invariance (see here for motivation and counterexamples). A famous example is d=4, N=4 supersymmetric Yang–Mills theory due its relevance for AdS/CFT correspondence. Also, the worldsheet in string theo... | Conformal algebra | 0.781388 |
89,274 | In relativistic quantum field theories, the possibility of symmetries is strictly restricted by Coleman–Mandula theorem under physically reasonable assumptions. The largest possible global symmetry group of a non-supersymmetric interacting field theory is a direct product of the conformal group with an internal group. ... | Conformal algebra | 0.781388 |
89,275 | In mathematical physics, the conformal symmetry of spacetime is expressed by an extension of the Poincaré group, known as the conformal group. The extension includes special conformal transformations and dilations. In three spatial plus one time dimensions, conformal symmetry has 15 degrees of freedom: ten for the Poin... | Conformal algebra | 0.781388 |
89,276 | Pyridine-2-carbaldehyde is a colorless oily liquid with a distinctive odor. Older samples are often brown-colored owing to impurities. It serves as a precursor to other compounds of interest in coordination chemistry and pharmaceuticals. Pyridine aldehydes are typically prepared by oxidation of the hydroxymethyl- or me... | 2-Formyl pyridine | 0.781387 |
89,277 | Interpretations of quantum mechanics that do not recognise wave function collapse (such as De Broglie–Bohm or many-worlds interpretations) do not require Heisenberg cuts. Heisenberg stated the concept in many different ways in his work, for one example he wrote: "In this situation it follows automatically that, in a ma... | Heisenberg cut | 0.781386 |
89,278 | In quantum mechanics, a Heisenberg cut is the hypothetical interface between quantum events and an observer's information, knowledge, or conscious awareness. Below the cut everything is governed by the wave function; above the cut a classical description is used. The Heisenberg cut is a theoretical construct; it is not... | Heisenberg cut | 0.781386 |
89,279 | The prize money is Rs 25 lakhs, and it also carries a citation and a gold medal. The award is announced and presented every year at the Indian Science Congress (ISC).The award was instituted by the 10th Prime Minister of India Shri Atal Bihari Vajpayee in 2003. The first award, for the year 2004, was given to a renowne... | India Science Award | 0.781385 |
89,280 | Steels used for building construction in the US use standard alloys identified and specified by ASTM International. These steels have an alloy identification beginning with A and then two, three, or four numbers. The four-number AISI steel grades commonly used for mechanical engineering, machines, and vehicles are a co... | Channel iron | 0.781385 |
89,281 | In the 1950s they were used at Los Alamos for early work relating to the development of the hydrogen bomb, and became popularized in the fields of physics, physical chemistry, and operations research. The RAND Corporation and the U.S. Air Force were two of the major organizations responsible for funding and disseminati... | Stochastic music | 0.781384 |
89,282 | The Monte Carlo method is a stochastic method popularized by physics researchers Stanisław Ulam, Enrico Fermi, John von Neumann, and Nicholas Metropolis. The use of randomness and the repetitive nature of the process are analogous to the activities conducted at a casino. Methods of simulation and statistical sampling g... | Stochastic music | 0.781384 |
89,283 | "Stochastic forensics analyzes computer crime by viewing computers as stochastic steps. In artificial intelligence, stochastic programs work by using probabilistic methods to solve problems, as in simulated annealing, stochastic neural networks, stochastic optimization, genetic algorithms, and genetic programming. A pr... | Stochastic music | 0.781384 |
89,284 | Non-deterministic approaches in language studies are largely inspired by the work of Ferdinand de Saussure, for example, in functionalist linguistic theory, which argues that competence is based on performance. This distinction in functional theories of grammar should be carefully distinguished from the langue and paro... | Stochastic music | 0.781384 |
89,285 | Invitation systems for websites are usually temporary. They are typically used for services in private beta testing, in order to control the number of users on the service. In other cases, they can be used due to limited availability of server resources. There are a growing number of sites which use invitation systems ... | Invite code | 0.78138 |
89,286 | CANaerospace - Stock (for the aviation industry) CAN Kingdom - Kvaser (embedded control system) CCP/XCP (automotive ECU calibration) GMLAN - General Motors (for General Motors) RV-C - RVIA (used for recreational vehicles) SafetyBUS p - Pilz (used for industrial automation) UAVCAN (aerospace and robotics) CSP (CubeSat S... | CAN Bus | 0.781378 |
89,287 | Teams in the FIRST Robotics Competition widely use CAN bus to communicate between the roboRIO and other robot control modules. The CueScript teleprompter range uses CAN bus protocol over coaxial cable, to connect its CSSC – Desktop Scroll Control to the main unit The CAN bus protocol is widely implemented due to its fa... | CAN Bus | 0.781378 |
89,288 | The CAN bus protocol has been used on the Shimano DI2 electronic gear shift system for road bicycles since 2009, and is also used by the Ansmann and BionX systems in their direct drive motor. The CAN bus is also used as a fieldbus in general automation environments, primarily due to the low cost of some CAN controllers... | CAN Bus | 0.781378 |
89,289 | It is also used as an additive in airplane deicing solutions. In organometallic chemistry it is commonly used for the synthesis of Vaska's complex and related compounds such as carbonylchlorohydridotris(triphenylphosphine)ruthenium (II). During these reactions the alcohol acts as a source of hydride and carbon monoxide... | Ethylene glycol monomethyl ether | 0.781378 |
89,290 | Structured Analysis (SA) editors for entity-relationship diagrams, data and event flow diagrams, state transition diagrams, function refinement trees, transaction-use tables and function-entity type tables. Miscellaneous editors such as for JSD (process structure and network diagrams), recursive process graphs and tran... | Toolkit for Conceptual Modeling | 0.781378 |
89,291 | The results were more clear visualization of the cranial nerves, lingual nerves, and lingual artery, and the patients had a faster recovery to normally swallowing. In May 2006 the first artificial intelligence doctor-conducted unassisted robotic surgery was on a 34-year-old male to correct heart arrhythmia. | Surgical robot | 0.781377 |
89,292 | This system attaches to the head of the operating room table and provides surgeons with increased precision with the help of the intuitive motion controller. Preceyes is the only robotic instrument to be CE certified. Some other companies like Forsight Robotics, Acusurgical that raised 5.75 M€ (France), and Horizon (US... | Surgical robot | 0.781377 |
89,293 | The Nimrod, built in the United Kingdom by Ferranti for the 1951 Festival of Britain, was an early computer custom-built to play Nim, inspired by the earlier Nimatron. The twelve-by-nine-by-five-foot (3.7-by-2.7-by-1.5-meter) computer, designed by John Makepeace Bennett and built by engineer Raymond Stuart-Williams, al... | Nimrod (computer) | 0.781374 |
89,294 | It explained that the use of a game to demonstrate the power of the machine did not mean that it was meant for entertainment and compared the mathematical underpinnings of Nim with modeling the economics of countries. Players of the Nimrod during the Festival included computer science pioneer Alan Turing.Although it wa... | Nimrod (computer) | 0.781374 |
89,295 | The Quantum Information Science and Technology Program (abbreviated as QUIST or QuIST) was a five-year, $100M DARPA research program that ran from FY 2001 – 2005. The initiative was jointly created by the Defense Sciences Office (DSO) and the Information Technology Office (ITO) to accelerate development in the field of... | QuIST | 0.781371 |
89,296 | In mathematics, in particular linear algebra, the Sherman–Morrison formula, named after Jack Sherman and Winifred J. Morrison, computes the inverse of the sum of an invertible matrix A {\displaystyle A} and the outer product, u v T {\displaystyle uv^{\textsf {T}}} , of vectors u {\displaystyle u} and v {\displaystyle v... | Sherman–Morrison formula | 0.781371 |
89,297 | This formula also has application in theoretical physics. Namely, in quantum field theory, one uses this formula to calculate the propagator of a spin-1 field. The inverse propagator (as it appears in the Lagrangian) has the form ( A + u v T ) {\displaystyle \left(A+uv^{\textsf {T}}\right)} . One uses the Sherman–Morri... | Sherman–Morrison formula | 0.781371 |
89,298 | In statistics, multivariate adaptive regression splines (MARS) is a form of regression analysis introduced by Jerome H. Friedman in 1991. It is a non-parametric regression technique and can be seen as an extension of linear models that automatically models nonlinearities and interactions between variables. The term "MA... | Multivariate adaptive regression spline | 0.781368 |
89,299 | The Duffin–Schaeffer theorem is a theorem in mathematics, specifically, the Diophantine approximation proposed by R. J. Duffin and A. C. Schaeffer in 1941. It states that if f: N → R + {\displaystyle f:\mathbb {N} \rightarrow \mathbb {R} ^{+}} is a real-valued function taking on positive values, then for almost all α {... | Duffin–Schaeffer conjecture | 0.781368 |
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