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82,300 | Stone duality Stone's representation theorem for Boolean algebras Specialization (pre)order Order topology of a total order (open interval topology) Alexandrov topology Upper topology Scott topology Scott continuity Lawson topology Finer topology | List of order theory topics | 0.799458 |
82,301 | The journal is also known for reviving interest in Japanese temple geometry problems by publishing a series of them beginning in 1984. The website IMOmath.com has made available problems involving inequalities from its first four volumes and calls the publication "the best problem solving journal all over the world". S... | Mathematical Mayhem | 0.799457 |
82,302 | The physical topology of a surface will determine the viable environment for bacteria. It may affect the ability for a microbe to adhere to its surface. Textile surfaces, tend to be very easy for microbes to adhere due to the abundance of interstitial spacing between fibers. Wenzel Model was developed to calculate the ... | Functionalization of Antimicrobial Surfaces | 0.799457 |
82,303 | He also designed the largest 3D planetarium in Taiwan, providing self-made 3D films related to astrophysics and cosmology. Jiun-Huei Proty Wu is also an expert in I-Ching, the ancient Chinese philosophy dated back to around five thousand years ago. Between 1989 and 1992, he first official took the courses given by Prof... | Jiun-Huei Proty Wu | 0.799457 |
82,304 | Nanotechnology is a broad field of research and development that deals with the manipulation of matter at the atomic or subatomic level. It is used in fields such as medicine, energy, aerospace engineering, and more. One of the applications of nanotechnology in drug delivery. | Controlled Drug Delivery | 0.799457 |
82,305 | A generalization of Hall's theorem to general graphs (that are not necessarily bipartite) is provided by the Tutte theorem. A generalization of Hall's theorem to bipartite hypergraphs is provided by various Hall-type theorems for hypergraphs. | Hall's marriage theorem | 0.799457 |
82,306 | Monthly 74 (1967), no. 5, 585–586. (LINK) "Foundations of Geometric Algebra", Rendiconti di Matematica, 1969, Vol. 2, Serie VI, pp. | Howard Levi | 0.799457 |
82,307 | Visual Components - a 3D factory simulation software for manufacturing applications including layout planning, production simulation, off-line programming and PLC verification. VisualSim Architect – an electronic system-level software for modeling and simulation of electronic systems, embedded software and semiconducto... | List of computer simulation software | 0.799457 |
82,308 | In fluid mechanics, Helmholtz minimum dissipation theorem (named after Hermann von Helmholtz who published it in 1868) states that the steady Stokes flow motion of an incompressible fluid has the smallest rate of dissipation than any other incompressible motion with the same velocity on the boundary. The theorem also h... | Helmholtz minimum dissipation theorem | 0.799457 |
82,309 | Sundial construction is based on understanding the geometry of the Solar System, and particularly how the Sun will cast a shadow onto a flat surface, in this case a horizontal surface. Each day over a yearly cycle the shadow will be different from the day before, and the shadow is specific to the location of the dial, ... | Whitehurst & Son sundial | 0.799457 |
82,310 | In 1905, Albert Einstein presented the hypothesis that the photoelectric effect could be explained if a beam of light was composed of a stream of discrete particles (photons), each with an energy (E = hf) the energy (E) of each photon being equal to the frequency (f) multiplied by Planck's constant (h). Later, in 1916 ... | Duane's hypothesis | 0.799457 |
82,311 | Bernard Lippmann was born in Brooklyn, New York City, in 1914. After initially attending the Polytechnic School of Brooklyn, where he attained a bachelor's degree in electrical engineering, he switched to physics and was admitted to the degree of Master of Science at the University of Michigan in 1935Subsequently, Lipp... | Bernard Lippmann | 0.799456 |
82,312 | When the species abundances of an ecological system are treated with a set of differential equations, it is possible to test for stability by linearizing the system at the equilibrium point. Robert May used this stability analysis in the 1970s which uses the Jacobian matrix or community matrix to investigate the relati... | Ecosystem stability | 0.799456 |
82,313 | In embedded systems, the emphasis tends to be more on the computational elements, and less on an intense link between the computational and physical elements. CPS is also similar to the Internet of Things (IoT), sharing the same basic architecture; nevertheless, CPS presents a higher combination and coordination betwee... | Cyber-physical systems | 0.799456 |
82,314 | Biology, 3rd edition. Saunders College Publishing, Fort Worth, 1993. Sutton, Paulette T., Bloodstain Pattern Interpretation, Short Course Manual, University of Tennessee, Memphis TN 1998 Vennard, John King. Elementary fluid mechanics. John Wiley & Sons, New York, 1982. | Bloodstain pattern analysis | 0.799456 |
82,315 | 19th century microbiology accumulated evidence that implicated bacteria, yeasts, fungi, and protozoa in the development of cancer. In 1926 the Nobel Prize was awarded for documenting that a nematode worm could provoke stomach cancer in rats. But it was not recognized that cancer could have infectious origins until much... | Viral oncogene protein | 0.799456 |
82,316 | Spence believes that labor, no matter how inexpensive, will become a less important asset for growth and employment expansion, with labor-intensive, process-oriented manufacturing becoming less effective, and that re-localization will appear in both developed and developing countries. In his view, production will not d... | 3D print | 0.799456 |
82,317 | Fragmentation can occur in the ion source (in-source fragmentation) where it has been used with electron ionization to help identify molecules and, recently (2020), with electrospray ionization it has been shown to provide the same benefit in facilitating molecular identification. Prior to these experiments, electrospr... | Fragmentation (chemistry) | 0.799455 |
82,318 | Sasho Kalajdzievski's Math and Art: An Introduction to Visual Mathematics takes a similar approach, looking at suitably visual mathematics topics such as tilings, fractals and hyperbolic geometry.Some of the first works of computer art were created by Desmond Paul Henry's "Drawing Machine 1", an analogue machine based ... | Mathematics and art | 0.799455 |
82,319 | In a solution containing cells and/or protein, it reduces the loss of cell and/or protein that binds to glass. Some plastic pipettes include a long flexible tube that can be bent for drawing solution from small volume tubes.Plastic Pasteur pipettes are often used in biology where most media are aqueous and solvent resi... | Pasteur pipette | 0.799455 |
82,320 | 1967 – Werner Israel proves the no-hair theorem, and the converse of Birkhoff's theorem. 1967 – Kenneth Nordtvedt develops PPN formalism, 1967 – Mendel Sachs publishes factorization of Einstein's field equations, 1967 – Hans Stephani discovers the Stephani dust solution, 1968 – F. J. Ernst discovers the Ernst equation,... | Timeline of gravitational physics and relativity | 0.799455 |
82,321 | Another of the proofs uses Dilworth's theorem on chain decompositions in partial orders, or its simpler dual (Mirsky's theorem). To prove the theorem, define a partial ordering on the members of the sequence, in which x is less than or equal to y in the partial order if x ≤ y as numbers and x is not later than y in the... | Erdős–Szekeres theorem | 0.799455 |
82,322 | (1961). Quantum Mechanics. Vol. | Relativistic quantum mechanics | 0.799455 |
82,323 | The Kramers–Wannier duality is a symmetry in statistical physics. It relates the free energy of a two-dimensional square-lattice Ising model at a low temperature to that of another Ising model at a high temperature. It was discovered by Hendrik Kramers and Gregory Wannier in 1941. | Kramers–Wannier duality | 0.799454 |
82,324 | Improving energy relations with the EU's neighbours, including Russia. The development of a European Strategic Energy Technology Plan to develop technologies in areas including renewable energy, energy conservation, low-energy buildings, fourth generation nuclear reactor, coal pollution mitigation, and carbon capture a... | Energy policy of the European Union | 0.799454 |
82,325 | Her research uses approaches from mathematical modelling, operational research and data sciences to help people within the health service make better decisions. She focuses on mortality and morbidity outcomes following cardiac surgery in children and adults in the UK, leading and contributing to several large national ... | Christina Pagel | 0.799454 |
82,326 | Comscore maintains a group of users who have monitoring software (with brands including PermissionResearch, OpinionSquare and VoiceFive Networks) installed on their computers. In exchange for joining the Comscore research panels, users are presented with various benefits, including computer security software, Internet ... | Media Metrix | 0.799453 |
82,327 | Herbert A. Simon, one of the founders of the field of artificial intelligence, stated that the 1960 thesis by his student Ed Feigenbaum, EPAM provided a possible "architecture for cognition" because it included some commitments for how more than one fundamental aspect of the human mind worked (in EPAM's case, human mem... | Cognitive architectures | 0.799453 |
82,328 | In geometry, the pentagonal gyrobicupola is one of the Johnson solids (J31). Like the pentagonal orthobicupola (J30), it can be obtained by joining two pentagonal cupolae (J5) along their bases. The difference is that in this solid, the two halves are rotated 36 degrees with respect to one another. | Pentagonal gyrobicupola | 0.799453 |
82,329 | UU Aurigae is a carbon-rich asymptotic giant branch star. The spectral type listed in the General Catalogue of Variable Stars (GCVS) is C5,3-C7,4(N3). The N3 refers back to an older type of classification where carbon stars were given spectral types of N or R, although the numeric index was correlated more with the str... | UU Aurigae | 0.799453 |
82,330 | Steiner symmetrization was introduced by Steiner (1838) to solve the isoperimetric theorem stated above. Let H ⊂ R n {\displaystyle H\subset \mathbb {R} ^{n}} be a hyperplane through the origin. Rotate space so that H {\displaystyle H} is the x n = 0 {\displaystyle x_{n}=0} ( x n {\displaystyle x_{n}} is the nth coordi... | Symmetrization methods | 0.799453 |
82,331 | Such renewables are projected to supply 74% of global energy by 2050. The steady fall of renewable energy prices challenges the economic competitiveness of fusion power. Some economists suggest fusion power is unlikely to match other renewable energy costs. | Fusion energy | 0.799453 |
82,332 | However, second-generation technologies and third-generation technologies depend on further promotion by the public sector. The introduction of mandatory renewable energy targets is one important way in which governments can encourage the wider use of renewables. | Mandatory renewable energy targets | 0.799452 |
82,333 | On 15 February 2005, the museum announced that it was stopping the project. In May 2005, the project was restarted by a group of interested universities and a research institute.In August 2022, it was announced that the University of Melbourne will partner with Texas-based biotechnology company Colossal Biosciences to ... | Tasmanian tiger | 0.799452 |
82,334 | van Lenteren, Marcel Dicke, and Louise E.M. Vet for "fundamental studies of plant-pest-natural enemy interactions and the development of practical methods of pest control". 2010 − Peter E. Hartmann and Robyn Owens for their "research on human lactation, including methods for the non-invasive measurement of the rate of ... | Rank Prizes | 0.799452 |
82,335 | Jaramillo-Botero earned a B.S. in Electrical Engineering from Boston University in 1986, an M.Sc. in Computer Science from the State University of New York as a Fulbright scholar in 1989, under the supervision of Kanad Ghose and Peter Kogge, and a Doctorate degree in engineering from the Polytechnic University of Valen... | Andres Jaramillo-Botero | 0.799452 |
82,336 | In computer graphics and computational geometry, a bounding volume for a set of objects is a closed volume that completely contains the union of the objects in the set. Bounding volumes are used to improve the efficiency of geometrical operations by using simple volumes to contain more complex objects. Normally, simple... | Bounding volume | 0.799452 |
82,337 | Sheaf cohomology has a reputation for being difficult to calculate. Because of this, the next general fact is fundamental for any practical computation: Serre's theorem A states that if X is a projective variety and F a coherent sheaf on it, then, for sufficiently large n, F(n) is generated by finitely many global sect... | Sheaf of a module | 0.799452 |
82,338 | During the 1970s, along with Sergio Fubini, Paolo Di Vecchia and Gabriele Veneziano, Del Giudice was at the center of an active school of theoretical physicists with close connections to Italy (with one of the Italian INFN and MIT financed "Bruno Rossi" exchange programs). He and his co-workers did fundamental work in ... | Emilio Del Giudice | 0.799452 |
82,339 | This is to say that the picture theory of language itself requires that something be said about the logical form sentences must share with reality for meaning to be possible. This requires doing precisely what the picture theory of language precludes. It would appear, then, that the metaphysics and the philosophy of la... | Wittgenstein's ladder | 0.799451 |
82,340 | The edge-connectivity version of Menger's theorem is as follows: Let G be a finite undirected graph and x and y two distinct vertices. Then the size of the minimum edge cut for x and y (the minimum number of edges whose removal disconnects x and y) is equal to the maximum number of pairwise edge-independent paths from ... | Menger theorem | 0.799451 |
82,341 | In mathematics, the Euclidean distance between two points in Euclidean space is the length of a line segment between the two points. It can be calculated from the Cartesian coordinates of the points using the Pythagorean theorem, therefore occasionally being called the Pythagorean distance. These names come from the an... | Distance formula | 0.799451 |
82,342 | Amplituhedron theory calculates scattering amplitudes without referring to such virtual particles. This undermines the case for even a transient, unobservable existence for such virtual particles.The geometric nature of the theory suggests in turn that the nature of the universe, in both classical relativistic spacetim... | Amplituhedron | 0.799451 |
82,343 | In 1981, he was naturalized as an American citizen. Weisfeiler's research spanned twenty years, and he published three dozen research papers during his lifetime. According to his colleague Alexander Lubotzky, Weisfeiler was studying "the more difficult questions" of algebraic groups in "the case when the field is not a... | Boris Weisfeiler | 0.799451 |
82,344 | Janusz C. Szajna - Polish entrepreneur, scientist and university professor. He contributes to the field of computer science, including advising the 'Commission for Digitization, Innovation and Modern Technologies' of the Polish government. | Janusz C. Szajna | 0.799451 |
82,345 | Flow over a cavity that is considered deep can create a whistle similar to that over shallow cavities. Deep is generally distinguished from shallow by the cavity depth being greater than the width. There are two geometries that have been studied. The first geometry is flow exterior to the cavity such as on an aircraft.... | Physics of whistles | 0.79945 |
82,346 | In July 2019, a team of more than 150 scientists led by Mathias Zechmeister published a peer-reviewed article in Astronomy & Astrophysics as part of the CARMENES survey supporting the existence of two candidate exoplanets orbiting Teegarden's Star.Because of the alignment and faintness of Teegarden's Star, Doppler spec... | Teegarden's Star b | 0.79945 |
82,347 | Richard B. Frankel is an Emeritus Professor of Physics at the California State Polytechnic University, San Luis Obispo. He is noted for his research on magnetotaxis and biomineralization of magnetic iron minerals in general and magnetotactic bacteria in particular. His expertise in the latter was prominently discussed ... | Richard B. Frankel | 0.79945 |
82,348 | It provided full pipeline delay management and optimization, and a consistent API for programming imaging hardware. Key software programmers were brought on: Ken Woodland, Stephen Watkins and Ari Berman. Recognizing that not every imaging function could be best done in a pipeline, Siegel teamed with Analog Devices new ... | Datacube Inc. | 0.79945 |
82,349 | for example: ∫ a ∞ f ( x ) d x = lim b → ∞ {\displaystyle \int _{a}^{\infty }f(x)\,dx=\lim _{b\to \infty }\left} A constant, such pi, that may be defined by the integral of an algebraic function over an algebraic domain is known as a period. The following is a list of some of the most common or interesting definite in... | List of definite integrals | 0.79945 |
82,350 | A discussion in 2006 took place between UCSB physicists at KITP and science journalist George Johnson regarding the controversy caused by the books of Smolin (The Trouble with Physics) and Woit (Not Even Wrong). The meeting was titled "The String Wars" to reflect the impression the media has given people regarding the ... | The Trouble with Physics | 0.799449 |
82,351 | Fabri–Picasso Theorem. Q does not properly exist in the Hilbert space, unless Q|0〉 = 0.The argument requires both the vacuum and the charge Q to be translationally invariant, P|0〉 = 0, = 0. Consider the correlation function of the charge with itself, ⟨ 0 | Q Q | 0 ⟩ = ∫ d 3 x ⟨ 0 | j 0 ( x ) Q | 0 ⟩ = ∫ d 3 x ⟨ 0 | e i... | Nambu−Goldstone boson | 0.799449 |
82,352 | A sequent A 1 , … , A m ⊢ B 1 , … , B n {\displaystyle A_{1},\,\dots ,A_{m}\,\vdash \,B_{1},\,\dots ,B_{n}} asserts that, if all the antecedents A 1 , … , A m {\displaystyle A_{1},\,\dots ,A_{m}} are true, then at least one of the consequents B 1 , … , B n {\displaystyle B_{1},\,\dots ,B_{n}} must be true. In the typed... | Turnstile (symbol) | 0.799449 |
82,353 | Group cohomology Galois cohomology Lie algebra cohomology Sheaf cohomology Whitehead problem Homological conjectures in commutative algebra | List of homological algebra topics | 0.799449 |
82,354 | Through formalization by mathematician Frank Harary, this work produced the fundamental theorem of this theory. It says that if a network of interrelated positive and negative ties is balanced, e.g. as illustrated by the psychological principle that "my friend's enemy is my enemy", then it consists of two sub-networks ... | Mathematical sociology | 0.799449 |
82,355 | The product of the prior and the likelihood, when normalized, results in a posterior probability distribution that incorporates all the information known to date. By Aumann's agreement theorem, Bayesian agents whose prior beliefs are similar will end up with similar posterior beliefs. However, sufficiently different pr... | Probability | 0.799449 |
82,356 | The premier professional body in the field is the Association for Computing Machinery's (ACM) Special Interest Group (SIG) on Knowledge Discovery and Data Mining (SIGKDD). Since 1989, this ACM SIG has hosted an annual international conference and published its proceedings, and since 1999 it has published a biannual aca... | Data Mining | 0.799448 |
82,357 | in Cell and Molecular Biology in 1987 from the Sackler Institute. She later went to SUNY Downstate as a post-doc to continue research in protein structure and function.Jorgensen devoted many years of her career to various positions within the biotechnology sector. She spent eight years, from 2001 to 2009, as the Direct... | Ellen Jorgensen | 0.799448 |
82,358 | Remission includes both specular and diffusely back-scattered light. The word reflection often implies a particular physical process, such as specular reflection. The use of the term remission spectroscopy is relatively recent, and found first use in applications related to medicine and biochemistry. While the term is ... | Diffuse reflectance spectroscopy | 0.799448 |
82,359 | At Rice, Muller taught biology and continued Drosophila lab work. Before taking up the post of Assistant Professor at the Rice Institute, Huxley spent a year in Germany preparing for his demanding new job. Working in a laboratory just months before the outbreak of World War I, Huxley overheard fellow academics comment ... | Julian Huxley | 0.799447 |
82,360 | Donaldson proposed some of the earliest ideas for cell repair technologies, seeing such technologies as extensions of natural biology, but using new enzymes and solvents other than water for low temperature operation. When Eric Drexler’s ideas about molecular nanotechnology came to dominate cryonics thinking in the mid... | Thomas K. Donaldson | 0.799447 |
82,361 | In 2007, linear imaging had begun to supplant laser scanning as the preferred scan engine for its performance and durability. 2D symbologies cannot be read by a laser, as there is typically no sweep pattern that can encompass the entire symbol. They must be scanned by an image-based scanner employing a CCD or other dig... | Two-dimensional barcode | 0.799447 |
82,362 | Deformulation refers to a set of analytical procedures used to separate and identify individual components of a formulated chemical substance. Deformulation applies methods of analytical chemistry and is often used to obtain competitive intelligence about chemical products. Deformulation is related to reverse engineeri... | Deformulation | 0.799447 |
82,363 | Further blurring the distinction between interpreters, bytecode interpreters and compilation is just-in-time (JIT) compilation, a technique in which the intermediate representation is compiled to native machine code at runtime. This confers the efficiency of running native code, at the cost of startup time and increase... | Interpreted language | 0.799447 |
82,364 | On the other hand, he showed that every integral cohomology class of positive degree on a smooth manifold has a positive multiple that is the class of a smooth submanifold. Also, every integral cohomology class on a manifold can be represented by a "pseudomanifold", that is, a simplicial complex that is a manifold outs... | Generalized cohomology | 0.799446 |
82,365 | While the term artificial neural network is usually used in computational neurogenetic modeling to refer to models of the central nervous system meant to possess biological accuracy, the general use of the term can be applied to many gene regulatory networks as well. | Computational neurogenetic modeling | 0.799446 |
82,366 | For our purposes, network analysis is closely related to graph theory. By measuring the attributes in the previous section we can utilize many different techniques to create accurate inferences based on biological data. | Biological network inference | 0.799446 |
82,367 | One can see, in this work as well as the one above, how the concepts and ideas in totally different fields (geometry, dynamical systems, and number theory) are put together to formulate problems and to produce new results. His study of discrete geometric analysis includes a graph-theoretic interpretation of Ihara zeta ... | Toshikazu Sunada | 0.799446 |
82,368 | Engineering information management (EIM) is the business function within product development and specifically systems engineering that allows engineers to collaborate on a single source of truth of engineering data. Contrary to product data management (PDM) and product lifecycle management (PLM), its main purpose is no... | Engineering information management | 0.799446 |
82,369 | Shape-memory polymers (SMPs) are able to recover their original shape from a deformed shape under certain circumstances, such as when exposed to a temperature for a period of time. Depending on the polymer, there may be a variety of configurations that the material may take in a number of temperature conditions. Digita... | Four-dimensional printing | 0.799446 |
82,370 | In quantum mechanics, the probability current (sometimes called probability flux) is a mathematical quantity describing the flow of probability. Specifically, if one thinks of probability as a heterogeneous fluid, then the probability current is the rate of flow of this fluid. It is a real vector that changes with spac... | Probability current | 0.799446 |
82,371 | The idea that life originated from non-living matter in slow stages appeared in Herbert Spencer's 1864–1867 book Principles of Biology, and in William Turner Thiselton-Dyer's 1879 paper "On spontaneous generation and evolution". On 1 February 1871 Charles Darwin wrote about these publications to Joseph Hooker, and set ... | Primordial sea | 0.799446 |
82,372 | The cyanide compound sodium nitroprusside is used mainly in clinical chemistry to measure urine ketone bodies mainly as a follow-up to diabetic patients. On occasion, it is used in emergency medical situations to produce a rapid decrease in blood pressure in humans; it is also used as a vasodilator in vascular research... | Cyanide anion | 0.799445 |
82,373 | A formal system is used to derive one expression from one or more other expressions. Although a formal language can be identified with its formulas, a formal system cannot be likewise identified by its theorems. Two formal systems F S {\displaystyle {\mathcal {FS}}} and F S ′ {\displaystyle {\mathcal {FS'}}} may have a... | Formal language theory | 0.799445 |
82,374 | Further developments are reflected by the references below, and by their contents. For some purposes, like dynamical systems, more sophisticated invariants were developed under the name strong shape. Generalizations to noncommutative geometry, e.g. the shape theory for operator algebras have been found. | Shape theory (mathematics) | 0.799445 |
82,375 | The term photonics more specifically connotes: The particle properties of light, The potential of creating signal processing device technologies using photons, The practical application of optics, and An analogy to electronics.The term optoelectronics connotes devices or circuits that comprise both electrical and optic... | Optical electronics | 0.799444 |
82,376 | The above equations and definitions can be extended to vector fields and more generally tensor fields and spinor fields. In physics, tensor fields describe bosons and spinor fields describe fermions. | Covariant Hamiltonian field theory | 0.799444 |
82,377 | Tarski proved a stronger theorem than the one stated above, using an entirely syntactical method. The resulting theorem applies to any formal language with negation, and with sufficient capability for self-reference that the diagonal lemma holds. First-order arithmetic satisfies these preconditions, but the theorem app... | Tarski undefinability theorem | 0.799444 |
82,378 | The why and how of species. Biology and Philosophy 3:431–441 1992. The idea of teleology. | Ernst Mayr | 0.799443 |
82,379 | Ribet's theorem (earlier called the epsilon conjecture or ε-conjecture) is part of number theory. It concerns properties of Galois representations associated with modular forms. It was proposed by Jean-Pierre Serre and proven by Ken Ribet. | Ribet's Theorem | 0.799443 |
82,380 | A longitudinal section through the second prototype SPI-Scan imager produced by Benthic Science Limited. A) electronics space, B) motor/gearing assembly connected to vertical drive shaft, C) one of five lasers, D) seabed surface CCD, E) camera pod, F) scan head, G) field-changeable penetrator with water galleries and j... | Sediment Profile Imagery | 0.799443 |
82,381 | In philosophical logic, metaphysics, and the philosophy of language, the problem of absolute generality is the problem of referring to absolutely everything. Historically, philosophers have assumed that some of their statements are absolutely general, referring to truly everything. In recent years, logicians working in... | Absolute generality | 0.799443 |
82,382 | In 1926, he wrote a dissertation "Differential Invariants of Inversive Geometry" for his doctoral degree. Patterson returned to Washington & Jefferson College as a member of the faculty from 1926 to 1927 before taking a mathematics professorship at Hamilton College. Continuing to collaborate with Morley, they co-wrote ... | Boyd Crumrine Patterson | 0.799443 |
82,383 | A group scheme is a group-stack. More generally, a group algebraic-space, an algebraic-space analog of a group scheme, is a group-stack. Over a field k, a vector bundle stack V {\displaystyle {\mathcal {V}}} on a Deligne–Mumford stack X is a group-stack such that there is a vector bundle V over k on X and a presentatio... | Group-stack | 0.799443 |
82,384 | the extensive use of rewriting and "symbolic evaluation". an induction heuristic based the failure of symbolic evaluation.HOL Light Written in OCaml, HOL Light is designed to have a simple and clean logical foundation and an uncluttered implementation. It is essentially another proof assistant for classical higher orde... | Automatic reasoning | 0.799442 |
82,385 | In computer algebra when doing effective computations with integer polynomials often the following strategy is applied. One reduces a polynomial f {\displaystyle f} modulo a suitable prime number p {\displaystyle p} to get f p {\displaystyle f_{p}} , solves a related problem over Z / p Z {\displaystyle \mathbb {Z} /p\m... | Landau-Mignotte bound | 0.799442 |
82,386 | The Aneesur Rahman Prize for Computational Physics is a prize that has been awarded annually by the American Physical Society since 1993. The recipient is chosen for "outstanding achievement in computational physics research". The prize is named after Aneesur Rahman (d. 1987), pioneer of the molecular dynamics simulati... | Aneesur Rahman Prize for Computational Physics | 0.799442 |
82,387 | Every Heyting algebra is pseudocomplemented. If X is a topological space, the (open set) topology on X is a pseudocomplemented (and distributive) lattice with the meet and join being the usual union and intersection of open sets. The pseudocomplement of an open set A is the interior of the set complement of A. Furtherm... | Pseudocomplemented lattice | 0.799442 |
82,388 | Van Harmelen's research interests include artificial intelligence, knowledge representation and the semantic web, approximate reasoning and Medical Protocols. He was one of the co-designers of the Web Ontology Language (OWL) and the Ontology Inference Layer (OIL), and has published books on meta-level inference, on kno... | Frank van Harmelen | 0.799441 |
82,389 | Hamming codes can be computed in linear algebra terms through matrices because Hamming codes are linear codes. For the purposes of Hamming codes, two Hamming matrices can be defined: the code generator matrix G and the parity-check matrix H: G T := ( 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 ) , H := ( 1 ... | Hamming(7,4) | 0.799441 |
82,390 | It acquired its current name in December 1990. The editor-in-chief is D. Wilkinson (National Institute for Medical Research). A separate section of the journal, Gene Expression Patterns, covers research on cloning and gene expression. In 2020 the journal became Cells & Development with the subtitle: 'Cell and Developme... | Mechanisms of Development | 0.799441 |
82,391 | Thus any report merely that one object "looks larger" than another object is ambiguous. It needs to specify whether "looks larger" refers to the perceived angular size (θ′) or to the perceived linear size (S′) or to both of those qualitatively different "size" experiences (Joynson, 1949, McCready, 1965, 1985, Ono, 1970... | Visual angle illusion | 0.799441 |
82,392 | Kepler was operated out of Boulder, Colorado, by the Laboratory for Atmospheric and Space Physics (LASP) under contract to Ball Aerospace & Technologies. The spacecraft's solar array was rotated to face the Sun at the solstices and equinoxes, so as to optimize the amount of sunlight falling on the solar array and to ke... | Kepler Space Telescope | 0.799441 |
82,393 | Its repertoire, structure, and organization is very conserved when compared with that of vertebrates but surprisingly different from that of fruit flies and nematodes, which have lost many genes and introns and have experienced genome rearrangements, indicating the genome of their common ancestor also was a complex gen... | Starlet sea anemone | 0.79944 |
82,394 | Namely, that a dilation satisfy the following (calculus) property: P H f ( V ) | H = f ( T ) {\displaystyle P_{H}\;f(V)|_{H}=f(T)} where f(T) is some specified functional calculus (for example, the polynomial or H∞ calculus). The utility of a dilation is that it allows the "lifting" of objects associated to T to the le... | Dilation (operator theory) | 0.79944 |
82,395 | Kittel, Charles (2004). Introduction to Solid State Physics (8 ed.). Wiley. ISBN 978-0471415268. | Lyddane–Sachs–Teller relation | 0.79944 |
82,396 | The distance between two points in physical space is the length of a straight line between them, which is the shortest possible path. This is the usual meaning of distance in classical physics, including Newtonian mechanics. Straight-line distance is formalized mathematically as the Euclidean distance in two- and three... | Distance | 0.79944 |
82,397 | In 2006, an article was published in the Journal of Biological Chemistry describing the production and characterization of an antibody called PSG2. This antibody shows exquisite sensitivity and specificity for epitopes containing sulfotyrosine independent of the sequence context. | Tyrosine sulfation | 0.79944 |
82,398 | In physics, interference is a phenomenon in which two coherent waves are combined by adding their intensities or displacements with due consideration for their phase difference. The resultant wave may have greater intensity (constructive interference) or lower amplitude (destructive interference) if the two waves are i... | Constructive interference | 0.799439 |
82,399 | Indeed, with the aid of computers, it is possible to check some proofs mechanically. Formal rigour is the introduction of high degrees of completeness by means of a formal language where such proofs can be codified using set theories such as ZFC (see automated theorem proving). Published mathematical arguments have to ... | Rigorous proof | 0.799439 |
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