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88,300 | Integromics is a global bioinformatics company headquartered in Granada, Spain, with a second office in Madrid, subsidiaries in the United States and United Kingdom, and distributors in 10 countries. Integromics provides bioinformatics software for data management and data analysis in genomics and proteomics. The compa... | Integromics | 0.798205 |
88,301 | Photogrammetry uses methods from many disciplines, including optics and projective geometry. Digital image capturing and photogrammetric processing includes several well defined stages, which allow the generation of 2D or 3D digital models of the object as an end product. The data model on the right shows what type of ... | Stereo photogrammetry | 0.798205 |
88,302 | In McNaughton's original paper, the theorem was stated as: "An ω-event is regular if and only if it is finite-state." In modern terminology, ω-events are commonly referred to as ω-languages. Following McNaughton's definition, an ω-event is a finite-state event if there exists a deterministic Muller automaton that recog... | McNaughton's Theorem | 0.798205 |
88,303 | Department of Energy Office of Science. At FRIB, scientists research the properties of rare isotopes to advance knowledge in the areas of nuclear physics, nuclear astrophysics, fundamental interactions of nuclei, and real-world applications of rare isotopes. Construction of the FRIB conventional facilities began in spr... | Facility for Rare Isotope Beams | 0.798205 |
88,304 | A pentadecahedron (or pentakaidecahedron) is a polyhedron with 15 faces. No pentadecahedron is regular; hence, the name is ambiguous. There are numerous topologically distinct forms of a pentadecahedron, for example the tetradecagonal pyramid, and tridecagonal prism. In the pentadecahedron, none of the shapes are regul... | Pentadecahedron | 0.798205 |
88,305 | He made his living by designing milling machines and flexible manufacturing systems, which later earned him election to the Royal Society, and never considered audio design a serious occupation for himself.In 1956 most production amplifiers in North America followed the Ultralinear Williamson template, but in the next ... | Williamson amplifier | 0.798205 |
88,306 | The blocks world is a planning domain in artificial intelligence. The algorithm is similar to a set of wooden blocks of various shapes and colors sitting on a table. The goal is to build one or more vertical stacks of blocks. Only one block may be moved at a time: it may either be placed on the table or placed atop ano... | Blocks world | 0.798205 |
88,307 | Although there was an improvement in insulin resistance and serum aminotransferases, this did not translate into NASH improvements. The NICE provides similar guidelines to the AASLD regarding pioglitazone and recommends it be administered in secondary care to adults with advanced liver fibrosis irrespective of whether ... | Nonalcoholic fatty liver disease | 0.798205 |
88,308 | The research conducted by Otto and his research group is focused on various fields, varying from the origin of life (self-replicating systems and the Darwinian evolution thereof), to materials chemistry (self-synthesizing fibres, hydrogels and nanoparticle surfaces).Specific interests include self-replicating molecules... | Sijbren Otto | 0.798205 |
88,309 | In statistics, the projection matrix ( P ) {\displaystyle (\mathbf {P} )} , sometimes also called the influence matrix or hat matrix ( H ) {\displaystyle (\mathbf {H} )} , maps the vector of response values (dependent variable values) to the vector of fitted values (or predicted values). It describes the influence each... | Annihilator matrix | 0.798204 |
88,310 | Agricultural chemistry is the study of chemistry, especially organic chemistry and biochemistry, as they relate to agriculture. This includes agricultural production, the use of ammonia in fertilizer, pesticides, and how plant biochemistry can be used to genetically alter crops. Agricultural chemistry is not a distinct... | Agricultural chemistry | 0.798204 |
88,311 | In physics, the accordion effect (also known as the slinky effect, concertina effect, elastic band effect, and string instability) occurs when fluctuations in the motion of a traveling body cause disruptions in the flow of elements following it. This can happen in road traffic, foot marching, bicycle and motor racing, ... | Accordion effect | 0.798204 |
88,312 | "Minds, Machines and Gödel" is J. R. Lucas's 1959 philosophical paper in which he argues that a human mathematician cannot be accurately represented by an algorithmic automaton. Appealing to Gödel's incompleteness theorem, he argues that for any such automaton, there would be some mathematical formula which it could no... | Minds, Machines and Gödel | 0.798203 |
88,313 | In geometry, the great grand 120-cell or great grand polydodecahedron is a regular star 4-polytope with Schläfli symbol {5,5/2,3}. It is one of 10 regular Schläfli-Hess polytopes. | Great grand 120-cell | 0.798203 |
88,314 | Complex thoughts get their semantic content from the content of the basic thoughts and the relations that they hold to each other. Thoughts can only relate to each other in ways that do not violate the syntax of thought. The syntax by means of which these two sub-parts are combined can be expressed in first-order predi... | Language of thought hypothesis | 0.798203 |
88,315 | This runs counter to the traditional beliefs of working mathematicians, that mathematics is somehow pure or objective. But social constructivists argue that mathematics is in fact grounded by much uncertainty: as mathematical practice evolves, the status of previous mathematics is cast into doubt, and is corrected to t... | Set-theoretic realism | 0.798202 |
88,316 | : 61 The principle became known as the Weber–Fechner law. Fechner's 1860 Elements of Psychophysics challenged Kant's negative view with regard to conducting quantitative research on the mind. Fechner's achievement was to show that "mental processes could not only be given numerical magnitudes, but also that these could... | Psychological sciences | 0.798202 |
88,317 | In (polyhedral) geometry, a flag is a sequence of faces of a polytope, each contained in the next, with exactly one face from each dimension. More formally, a flag ψ of an n-polytope is a set {F–1, F0, ..., Fn} such that Fi ≤ Fi+1 (–1 ≤ i ≤ n – 1) and there is precisely one Fi in ψ for each i, (–1 ≤ i ≤ n). Since, howe... | Flag (geometry) | 0.798202 |
88,318 | Hefferon, Jim (2020). Linear Algebra (4th ed.). Orthogonal Publishing. | Linear subspace | 0.798202 |
88,319 | The mathematical theory of apportionment was studied as early as 1907 by the mathematician Agner Krarup Erlang. It was later developed to a great detail by the mathematician Michel Balinsky and the economist Peyton Young. Besides its application to political parties, it is also applicable to fair item allocation when a... | Mathematics of apportionment | 0.798202 |
88,320 | The prototypical example of antiaromaticity, cyclobutadiene, is the subject of debate, with some scientists arguing that antiaromaticity is not a major factor contributing to its destabilization. Cyclooctatetraene appears at first glance to be antiaromatic, but is an excellent example of a molecule adopting a non-plana... | Antiaromaticity | 0.798202 |
88,321 | Computer ethics focuses on issues related to computing. Cyberethics explores internet-related issues like intellectual property rights, privacy, and censorship. Nanoethics examines issues surrounding the alteration of matter at the atomic and molecular level in various disciplines including computer science, engineerin... | Virtual technology | 0.798201 |
88,322 | When studying sensitive or controversial topics The objective of quantitative research is to develop and employ mathematical models, theories, and hypotheses pertaining to phenomena. The process of measurement is central to quantitative research because it provides the fundamental connection between empirical observati... | Quantitative approach | 0.798201 |
88,323 | (See, for example, the Fermi–Pasta–Ulam–Tsingou experiment of 1953.) Assumption of the ergodic hypothesis allows proof that certain types of perpetual motion machines of the second kind are impossible. Systems that are ergodic are said to have the property of ergodicity; a broad range of systems in geometry, physics, a... | Absorbing barrier (finance) | 0.798201 |
88,324 | "Krylov subspace methods for computing hydrodynamic interactions in Brownian dynamics simulations" (PDF). The Journal of Chemical Physics. 137 (6): 064106. | Edmond Chow | 0.798201 |
88,325 | He attended college at the University of South Dakota before getting his M.D. degree from Harvard Medical School. He was awarded a Guggenheim Fellowship in physics in 1957. | John H. Lawrence | 0.7982 |
88,326 | The latter transformation corresponds to an active transformation of the components of a slashed quantity in terms of the basis γμ, and the former to a passive transformation of the basis γμ itself. The elements σ μ ν = γ μ γ ν − γ ν γ μ {\displaystyle \ \sigma ^{\mu \nu }=\gamma ^{\mu }\gamma ^{\nu }-\gamma ^{\nu }\ \... | Weyl basis | 0.7982 |
88,327 | The story of the discovery of the neutron and its properties is central to the extraordinary developments in atomic physics that occurred in the first half of the 20th century, leading ultimately to the atomic bomb in 1945. In the 1911 Rutherford model, the atom consisted of a small positively charged massive nucleus s... | Neutron | 0.7982 |
88,328 | Strang, G. (1993), Introduction to linear algebra, Wellesley-Cambridge Press, ISBN 978-0-9614088-5-5 Includes an elementary treatment of the axiomatization of determinants as signed areas, volumes, and higher-dimensional volumes. Onishchik, A.L. | Exterior power | 0.7982 |
88,329 | Secondary flow introduces vortex cavitation, which diminishes flow rate, decreases performance, and damages the blade profile. The temperature in turbomachinery is affected. Correlation for secondary flow, given by Dunham (1970), is given by: ζs = (0.0055 + 0.078(δ1/C)1/2)CL2 (cos3α2/cos3αm) (C/h) (C/S)2 ( 1/cos ά1) wh... | Three-dimensional losses and correlation in turbomachinery | 0.7982 |
88,330 | He has developed extensions of symmetry-adapted perturbation theory (SAPT) to analyze these interactions in terms of their fundamental physical forces (electrostatics, exchange/steric repulsion, induction/polarization, and London dispersion forces). A fragment-based partitioning of SAPT allows analyses of which non-bon... | David Sherrill | 0.798199 |
88,331 | Barbara Fantechi is an Italian mathematician and Professor at the International School for Advanced Studies. Her research area is algebraic geometry. She is a member of the Accademia dei Lincei. | Barbara Fantechi | 0.798198 |
88,332 | In mathematics, Bondy's theorem is a bound on the number of elements needed to distinguish the sets in a family of sets from each other. It belongs to the field of combinatorics, and is named after John Adrian Bondy, who published it in 1972. | Bondy's theorem | 0.798198 |
88,333 | In magnetic chemistry, nanoparticles can be used for catalyst support for medicinal use. | Nanomaterial-based catalyst | 0.798198 |
88,334 | Let n ∈ N 0 , {\displaystyle n\in \mathbb {N} _{0},} and assume that a non-zero polynomial P ∈ C {\displaystyle P\in \mathbb {C} } exists such that ∀ z ∈ C ∖ Z ≤ 0: P ( z ; Γ ( z ) , Γ ′ ( z ) , … , Γ ( n ) ( z ) ) = 0. {\displaystyle \forall z\in \mathbb {C} \smallsetminus \mathbb {Z} _{\leq 0}:\qquad P\left(z;\Gamma... | Hölder's theorem | 0.798198 |
88,335 | A projective representation Π(G) of a Lie group G (background) can be used to define a so-called group extension Gex. In quantum mechanics, Wigner's theorem asserts that if G is a symmetry group, then it will be represented projectively on Hilbert space by unitary or antiunitary operators. This is often dealt with by p... | Lie algebra extension | 0.798198 |
88,336 | Schwarzschild was renowned as a teacher and held major leadership positions in several scientific societies. In the 1980s, Schwarzschild applied his numerical skills to building models for triaxial galaxies. Schwarzschild was the Eugene Higgins Professor Emeritus of Astronomy at Princeton University, where he spent mos... | Martin Schwarzschild | 0.798197 |
88,337 | In algebra, Schlessinger's theorem is a theorem in deformation theory introduced by Schlessinger (1968) that gives conditions for a functor of artinian local rings to be pro-representable, refining an earlier theorem of Grothendieck. | Schlessinger's theorem | 0.798197 |
88,338 | The first level consists of four basic terms of colors:; darkness, lightness, redness, and greenness. While, the second level was more abstract and consisted of hundreds of color classifications such as: texture, shininess, and moisture of objects also were used to classify objects. Other anthropologists had a hard tim... | Ethnoecology | 0.798197 |
88,339 | This approach to reduce variability incorporates covariates in the prediction model. The same predictive method may then be more generally applied, with covariates assuming different values for different levels of the factors shown to affect SD distribution (usually by affecting a location parameter, like the mean, and... | Predictive methods for surgery duration | 0.798197 |
88,340 | He also shared the hope that an improved fundamental theory would explain why the two elementary particles then known (proton and electron) have quite different masses. The Dirac equation for the relativistic quantum electron caused Eddington to rethink his previous conviction that fundamental physical theory had to be... | Classical unified field theories | 0.798197 |
88,341 | It is this capability to inhibit potassium flux in neurons that has made TEA one of the most important tools in neuroscience. It has been hypothesized that the ability for TEA to inhibit potassium channels is derived from its similar space-filling structure to potassium ions. What makes TEA very useful for neuroscienti... | Neurotoxic drug | 0.798197 |
88,342 | The Scientific American special issue on Communications, Computers, and Networks is a special issue of Scientific American dedicated to articles concerning impending changes to the Internet in the period prior to the expansion and mainstreaming of the World Wide Web via Mosaic and Netscape. This issue contained essays ... | Communications, Computers, and Networks | 0.798196 |
88,343 | In physics, a free particle is a particle that, in some sense, is not bound by an external force, or equivalently not in a region where its potential energy varies. In classical physics, this means the particle is present in a "field-free" space. In quantum mechanics, it means the particle is in a region of uniform pot... | Free particle | 0.798196 |
88,344 | Rafael was the oldest of six children. Rafael received no college education, but was instead taught by an engineer-architect by the name of Pier Francesco Clementi. Bombelli felt that none of the works on algebra by the leading mathematicians of his day provided a careful and thorough exposition of the subject. | Rafael Bombelli | 0.798196 |
88,345 | Mutation and hybridisation are widely used in fiction, starting in the 19th century with science fiction works such as Mary Shelley's 1818 novel Frankenstein and H. G. Wells's 1896 The Island of Dr. Moreau.In her 1977 Biological Themes in Modern Science Fiction, Helen Parker identified two major types of story: "geneti... | Genetics in fiction | 0.798196 |
88,346 | "Conformation-dependent13C chemical shifts: A new means of conformational characterization as obtained by high-resolution solid-state13C NMR". Magnetic Resonance in Chemistry. 24 (10): 835–852. doi:10.1002/mrc.1260241002. | Magnetic Resonance in Chemistry | 0.798196 |
88,347 | Among most minerals, this property is not diagnostic. Rock forming minerals – typically silicates or occasionally carbonates – have a specific gravity of 2.5–3.5.High specific gravity is a diagnostic property of a mineral. A variation in chemistry (and consequently, mineral class) correlates to a change in specific gra... | Accessory mineral | 0.798195 |
88,348 | Players can "mine" blocks and then place them elsewhere, enabling them to build things. Many commentators have described the game's physics system as unrealistic. | Bedrock game engine | 0.798195 |
88,349 | The user contributed packages are an important feature of the system, adding a great deal of functionality. GAP offers package authors the opportunity to submit these packages for a process of peer review, hopefully improving the quality of the final packages, and providing recognition akin to an academic publication f... | GAP computer algebra system | 0.798195 |
88,350 | Early analysis, in the guise of the Taylor approximation, established an approximation of differentiable functions f {\displaystyle f} by polynomials. By the Stone–Weierstrass theorem, every continuous function on {\displaystyle } can be approximated as closely as desired by a polynomial. A similar approximation techn... | Real vector | 0.798195 |
88,351 | In integral geometry (otherwise called geometric probability theory), Hadwiger's theorem characterises the valuations on convex bodies in R n . {\displaystyle \mathbb {R} ^{n}.} It was proved by Hugo Hadwiger. | Hadwiger's theorem | 0.798195 |
88,352 | Put another way, the Whitney graph isomorphism theorem guarantees that the line graph almost always encodes the topology of the original graph G faithfully but it does not guarantee that dynamics on these two graphs have a simple relationship. One solution is to construct a weighted line graph, that is, a line graph wi... | Line graph | 0.798195 |
88,353 | In both nuclear and chemical reactions, such energy represents the difference in binding energies of electrons in atoms (for chemistry) or between nucleons in nuclei (in atomic reactions). In both cases, the mass difference between reactants and (cooled) products measures the mass of heat and light which will escape th... | Relativistic mechanics | 0.798195 |
88,354 | The association chairman is Eng. Ehud Noff, who also serves as chairman of the Federation of Engineers (the labor union). Within the Association of Engineers there are professional societies in various technological fields:Civil Engineering, Mechanical Engineering, Chemical Engineering and Chemistry, Electrical and Ele... | Association of Engineers in Israel | 0.798194 |
88,355 | Despite some of these benefits, because duckweed thrives in high-nutrient wetland environments, the plants can be seen as a nuisance species when conditions favor excessive proliferation in environments that are traditionally low in nutrients or oligotrophic. One example of this problem occurs within the Everglades, a ... | Lemnoideae | 0.798194 |
88,356 | Don Stanley was the first Canadian to earn a Ph.D. in environmental engineering. Attending Harvard University on a Rockefeller Foundation scholarship, he earned his doctorate in 1952 and two years later founded D.R. | Stantec | 0.798194 |
88,357 | The modern synthesis was the widely accepted early-20th-century synthesis reconciling Charles Darwin's theory of evolution by natural selection and Gregor Mendel's theory of genetics in a joint mathematical framework. It established evolution as biology's central paradigm. The 19th-century ideas of natural selection by... | Extended evolutionary synthesis | 0.798193 |
88,358 | Session I: Solar Policy, RPO, REC & Hybrid ProjectsNational Solar Mission and State Solar Policies Renewable Purchase Obligation (RPO) & Renewable Energy Certificate (REC) Mechanism Biomass Solar Hybrid Projects Session II: Solar Thermal & Roof-top Solar PVSolar Termal and Roof Top Solar PV MW Scale Solar Roof-top Proj... | Odisha Solar Conference | 0.798193 |
88,359 | A resistive element in the context of this theorem is a component of the electrical network that corresponds to an edge pair in the flow graph. | Cederbaum's maximum flow theorem | 0.798193 |
88,360 | The algebraic ones are called abelian surfaces and are exactly the 2-dimensional abelian varieties. Most of their theory is a special case of the theory of higher-dimensional tori or abelian varieties. Finding criteria for a complex torus of dimension 2 to be a product of two elliptic curves (up to isogeny) was a popul... | Abelian surface | 0.798193 |
88,361 | 1951 – Felix Bloch and Edward Mills Purcell receive a shared Nobel Prize in Physics for their first observations of the quantum phenomenon of nuclear magnetic resonance previously reported in 1949. Purcell reports his contribution as Research in Nuclear Magnetism, and gives credit to his coworkers such as Herbert S. Gu... | Timeline of quantum mechanics | 0.798192 |
88,362 | Advanced Materials is a weekly peer-reviewed scientific journal covering materials science. It includes communications, reviews, and feature articles on topics in chemistry, physics, nanotechnology, ceramics, metallurgy, and biomaterials. According to the Journal Citation Reports, the journal has a 2022 impact factor o... | Advanced Materials | 0.798192 |
88,363 | Coe took a BSc in physics at Newcastle University in 1989, followed by a PhD titled "The Exchange of Nitrogen Dioxide and Ozone Between Vegetation and the Atmosphere" at UMIST in 1993. He has worked at the University of Manchester ever since. | Hugh Coe | 0.798192 |
88,364 | Since 2009, Exact Sciences has maintained a collaboration with Mayo Clinic for its current and future products. In 2009, Exact Sciences also completed a licensing agreement with Hologic for its molecular detection platform. In April 2017, Exact Sciences and MDxHealth agreed to share technology on a variety of epigeneti... | Exact Sciences (company) | 0.798192 |
88,365 | Percival began taking mathematics courses at Simon Fraser University (SFU) at age 13, as a student at Burnaby Central Secondary School. He graduated from Burnaby Central and officially enrolled at SFU in 1998. At SFU he studied number theory under Peter Borwein, and competed in the William Lowell Putnam Mathematical Co... | Colin Percival | 0.798192 |
88,366 | In 1615 Jean Beguin published the Tyrocinium Chymicum, an early chemistry textbook, and in it draws the first-ever chemical equation. In 1637 René Descartes publishes Discours de la méthode, which contains an outline of the scientific method. The Dutch chemist Jan Baptist van Helmont's work Ortus medicinae was publishe... | History of chemistry | 0.798191 |
88,367 | At the start of the second iteration, assuming a single-world interpretation of quantum mechanics (like the widely-held Copenhagen interpretation) is true, the wave function has already collapsed; thus, if the experimenter is already dead, there is a 0% chance of survival for any further iterations. However, if the man... | Quantum suicide and immortality | 0.798191 |
88,368 | There were also technical colleges, such as the École Polytechnique. Scotland was the first place where science was taught (in the 18th century) and was where Joseph Black discovered heat capacity and latent heat and where his friend James Watt used knowledge of heat to conceive the separate condenser as a means to imp... | Productivity-improving technologies | 0.798191 |
88,369 | Sampled differential dynamic programming (SaDDP) is a Monte Carlo variant of differential dynamic programming. It is based on treating the quadratic cost of differential dynamic programming as the energy of a Boltzmann distribution. This way the quantities of DDP can be matched to the statistics of a multidimensional n... | Differential dynamic programming | 0.798191 |
88,370 | Aachen (1961–1962), Cornell University (1965–1966, 1977), and the Technical University of Aachen (1969). On his retirement from the University of Tokyo, he became professor emeritus and moved to Osaka University as professor of mechanical engineering in the faculty of engineering science (1975–1978), and then to Kogaku... | Isao Imai (physicist) | 0.798191 |
88,371 | In geometry, the Reye configuration, introduced by Theodor Reye (1882), is a configuration of 12 points and 16 lines. Each point of the configuration belongs to four lines, and each line contains three points. Therefore, in the notation of configurations, the Reye configuration is written as 124163. | Reye configuration | 0.798191 |
88,372 | The conditional expectation is often approximated in applied mathematics and statistics due to the difficulties in analytically calculating it, and for interpolation.The Hilbert subspace M = { g ( Y ): E ( g ( Y ) 2 ) < ∞ } {\displaystyle M=\{g(Y):\operatorname {E} (g(Y)^{2})<\infty \}} defined above is replaced with... | Conditional expected value | 0.798191 |
88,373 | An isogeny from an abelian variety A to another one B is a surjective morphism with finite kernel. Some theorems on abelian varieties require the idea of abelian variety up to isogeny for their convenient statement. For example, given an abelian subvariety A1 of A, there is another subvariety A2 of A such that A1 × A2i... | Serre C-theory | 0.79819 |
88,374 | The Japanese scientist called Norio Taniguchi of Tokyo University of Science was first to use the term "nano-technology" in a 1974 conference, to describe semiconductor processes such as thin film deposition and ion beam milling exhibiting characteristic control on the order of a nanometer. His definition was, "'Nano-t... | History of nanotechnology | 0.79819 |
88,375 | The Ontology for Biomedical Investigations (OBI) addresses the need for controlled vocabularies to support integration and joint ("cross-omics") analysis of experimental data, a need originally identified in the transcriptomics domain by the FGED Society, which developed the MGED Ontology as an annotation resource for ... | Ontology for Biomedical Investigations | 0.79819 |
88,376 | In chemistry, a formula unit is the empirical formula of any ionic or covalent network solid compound used as an independent entity for stoichiometric calculations. It is the lowest whole number ratio of ions represented in an ionic compound. Examples include ionic NaCl and K2O and covalent networks such as SiO2 and C ... | Formula unit | 0.798189 |
88,377 | In physics, the eightfold way is an organizational scheme for a class of subatomic particles known as hadrons that led to the development of the quark model. Working alone, both the American physicist Murray Gell-Mann and the Israeli physicist Yuval Ne'eman proposed the idea in 1961. The name comes from Gell-Mann's (19... | Baryon decuplet | 0.798189 |
88,378 | Electric resistance welding (ERW) is a welding process where metal parts in contact are permanently joined by heating them with an electric current, melting the metal at the joint. Electric resistance welding is widely used, for example, in manufacture of steel pipe and in assembly of bodies for automobiles. The electr... | Electric resistance welding | 0.798189 |
88,379 | "A more recent assessment has been that while acceptance of Newton's laws was not immediate, by the end of the century after publication in 1687, "no one could deny that" (out of the Principia) "a science had emerged that, at least in certain respects, so far exceeded anything that had ever gone before that it stood al... | Philosophiæ Naturalis Principia Mathematica | 0.798188 |
88,380 | Galileo Galilei had already postulated that there is no absolute and well-defined state of rest (no privileged reference frames), a principle now called Galileo's principle of relativity. Einstein extended this principle so that it accounted for the constant speed of light, a phenomenon that had been observed in the Mi... | Special Relativity | 0.798188 |
88,381 | That the set above is nonempty follows from Hartogs' theorem, which says that for any well-orderable cardinal, a larger such cardinal is constructible. The minimum actually exists because the ordinals are well-ordered. It is therefore immediate that there is no cardinal number in between κ and κ+. | Successor cardinal | 0.798188 |
88,382 | WordNet, a freely available database originally designed as a semantic network based on psycholinguistic principles, was expanded by addition of definitions and is now also viewed as a dictionary. It qualifies as an upper ontology by including the most general concepts as well as more specialized concepts, related to e... | Descriptive Ontology for Linguistic and Cognitive Engineering | 0.798187 |
88,383 | A third generalization considers tangent circles, rather than tangent lines; a tangent line can be considered as a tangent circle of infinite radius. In particular, the external tangent lines to two circles are limiting cases of a family of circles which are internally or externally tangent to both circles, while the i... | Tangent lines to circles | 0.798187 |
88,384 | Many astronomical research projects—from studies of celestial mechanics and the Solar System, up to the nascent field of astrophysics—were made possible by the publication of the atlas and data of the Bonner Durchmusterung. However, a deficiency of the BD was that it did not cover the whole sky, because far southern st... | Durchmusterung | 0.798187 |
88,385 | In mathematics, Bertrand's postulate (actually now a theorem) states that for each n ≥ 2 {\displaystyle n\geq 2} there is a prime p {\displaystyle p} such that n < p < 2 n {\displaystyle n | Proof of Bertrand's postulate | 0.798187 |
88,386 | In geometry, the medial disdyakis triacontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform truncated dodecadodecahedron. It has 120 triangular faces. | Medial disdyakis triacontahedron | 0.798187 |
88,387 | Mathematics and architecture are related, since, as with other arts, architects use mathematics for several reasons. Apart from the mathematics needed when engineering buildings, architects use geometry: to define the spatial form of a building; from the Pythagoreans of the sixth century BC onwards, to create forms con... | Mathematics and architecture | 0.798187 |
88,388 | During his tenure at the State University of New York at Oneonta, Dr William Butts correctly applied the term homeorhesis to biological organisms. The term was first used in biology by C.H. Waddington around 1940, where he described the tendency of developing or changing organisms to continue development or adapting to... | Homeorhesis | 0.798187 |
88,389 | Every compact connected Lie group has a complexification, which is a complex reductive algebraic group. In fact, this construction gives a one-to-one correspondence between compact connected Lie groups and complex reductive groups, up to isomorphism.A linear algebraic group G over a field k is called simple (or k-simpl... | Affine algebraic group | 0.798186 |
88,390 | Bioethics as a subject of expert exercise (although now not a formal profession) developed at the beginning in North America in the Nineteen Eighties and Nineteen Nineties, in the areas of clinical / medical ethics and research ethics. Slowly internationalizing as a field, since the 2000s professional bioethics has exp... | Bioethics | 0.798186 |
88,391 | Bilevel optimization was first realized in the field of game theory by a German economist Heinrich Freiherr von Stackelberg who published Market Structure and Equilibrium (Marktform und Gleichgewicht) in 1934 that described this hierarchical problem. The strategic game described in his book came to be known as Stackelb... | Bilevel optimization | 0.798186 |
88,392 | A simplicial complex K {\displaystyle {\mathcal {K}}} is a set of simplices that satisfies the following conditions: 1. Every face of a simplex from K {\displaystyle {\mathcal {K}}} is also in K {\displaystyle {\mathcal {K}}} . 2. The non-empty intersection of any two simplices σ 1 , σ 2 ∈ K {\displaystyle \sigma _{1},... | Closure (simplicial complex) | 0.798186 |
88,393 | In topology and related branches of mathematics, separated sets are pairs of subsets of a given topological space that are related to each other in a certain way: roughly speaking, neither overlapping nor touching. The notion of when two sets are separated or not is important both to the notion of connected spaces (and... | Separated set | 0.798185 |
88,394 | Nutrition plays a key role in every facet of maintaining proper physical and psychological wellbeing. Insufficient or inadequate nutrition can have a profound effect on mental health. The emerging field of nutritional neuroscience explores the various connections between diet, neurological functioning and mental health... | Differential diagnoses of depression | 0.798185 |
88,395 | In mathematics, more specifically abstract algebra and commutative algebra, Nakayama's lemma — also known as the Krull–Azumaya theorem — governs the interaction between the Jacobson radical of a ring (typically a commutative ring) and its finitely generated modules. Informally, the lemma immediately gives a precise sen... | Nakayama's lemma | 0.798185 |
88,396 | These singularities are located symmetrically with respect to the origin. Their position change when we change equation parameters and the initial condition θ ( 0 ) {\displaystyle \theta (0)} , and therefore, they are called movable singularities due to classification of the singularities of non-linear ordinary differe... | Lane-Emden equation | 0.798185 |
88,397 | Hallberg’s research interests encompass a range of protein targets of pharmaceutical relevance, including proteases and G-protein coupled receptors (GPCRs). One of the primary themes has been to identify novel and selective low molecular weight ligands for these targets. Compounds are optimized using computer-aided tec... | Anders Hallberg | 0.798185 |
88,398 | A very simple example of a complete OpenGEX file describing a green cube is shown in the listing below. It begins with a group of Metric structures that define the units of measurement and the global up direction. Those are followed by a single GeometryNode structure that provides the name and transform for the cube. T... | Open Game Engine Exchange | 0.798185 |
88,399 | In molecular biology, the protein domain SdrG C terminal refers to the C terminus domain of an adhesin found only on the cell walls of bacteria. More specifically, SdrG is only found in gram-positive bacteria. This particular domain binds to a glycoprotein named fibrinogen. | SdrG C terminal protein domain | 0.798184 |
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