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94,800 | In mathematics and computer science, a matroid oracle is a subroutine through which an algorithm may access a matroid, an abstract combinatorial structure that can be used to describe the linear dependencies between vectors in a vector space or the spanning trees of a graph, among other applications. The most commonly ... | Circuit-finding oracle | 0.796868 |
94,801 | BENGAL was the acronym of the research project High-resolution temporal and spatial study of the BENthic biology and Geochemistry of a north-eastern Atlantic abyssal Locality. The project was funded through the EC MAST III program from 1996 to 1998 (EC contract MAS-3 950018). The project was a three-year multidisciplin... | BENGAL (project) | 0.796868 |
94,802 | They correspond to the system model designed by a systems analyst who must determine the data elements, logical process flows, and functions that represent business entities and processes. Engineer Perspective (Technology Physics) - The contractor must redraw the architect's plans to represent the builder's perspective... | Zachman Framework | 0.796868 |
94,803 | In physics, antimatter is pervasively described as a hole, a location that, when brought together with ordinary matter to fill the hole, results in both the hole and the matter cancelling each-other out. This is analogous to patching a pothole with asphalt, or filling a bubble below the surface of water with an equal a... | Hole (topology) | 0.796867 |
94,804 | Patel comes from a family of physicians and businesspeople; she has described herself as the "black sheep of the family" for pursuing engineering instead. She was a student at Southern Methodist University, where she earned bachelor's degrees in mathematics and electrical engineering in 1995, and a master's degree in c... | Nita Patel (engineer) | 0.796866 |
94,805 | (1982). "Exaptation – a missing term in the science of form". Paleobiology. | Cumulative culture | 0.796866 |
94,806 | This is closely tied to the functional integral formulation of quantum mechanics, also invented by Feynman—see path integral formulation. The naïve application of such calculations often produces diagrams whose amplitudes are infinite, because the short-distance particle interactions require a careful limiting procedur... | Feynman graph | 0.796865 |
94,807 | In nature, many blue phenomena arise from structural colouration, the result of interference between reflections from two or more surfaces of thin films, combined with refraction as light enters and exits such films. The geometry then determines that at certain angles, the light reflected from both surfaces interferes ... | Blue color | 0.796865 |
94,808 | Basic Technology:Courses may include topics like applied computer science, computer networks and Internet technology, website engineering, programming, or information security. Business Informatics Methods:Courses may focus on information systems development, database management, information systems architectures, busi... | Master of Business Informatics | 0.796864 |
94,809 | The Center for the Fundamental Laws of nature is the high-energy theory group in Harvard's Physics Department. As of January 2020, it had 12 faculty and affiliate faculty, 18 postdoctoral, and 19 graduate student members, in addition to multiple affiliates, visiting scholars, and staff. A number of prominent particle t... | Center for the Fundamental Laws of Nature | 0.796864 |
94,810 | To this end, he defines essences: if x is an object in some world, then a property φ is said to be an essence of x if φ(x) is true in that world and if φ necessarily entails all other properties that x has in that world (definition 2). Requiring positive properties being positive in every possible world (axiom 4), Göde... | Gödel's ontological proof | 0.796864 |
94,811 | Techman is working with Vincennes University and Telamon Robotics to develop a cobot training curriculum. | Techman | 0.796864 |
94,812 | However, in hyperbolic space, it is also possible to consider the convex hulls of sets of ideal points, points that do not belong to the hyperbolic space itself but lie on the boundary of a model of that space. The boundaries of convex hulls of ideal points of three-dimensional hyperbolic space are analogous to ruled s... | Minimum convex polygon | 0.796863 |
94,813 | The purpose of such systems is to support human life in space and in unfavourable conditions of the Earth: in the Arctic and Antarctic, under water, underground, in the high mountains, deserts, as well as in a polluted environment. According to the leaders of the project "Biosphere II", the most advanced work prior to ... | Josef Gitelson | 0.796863 |
94,814 | A less well-known form of symmetry concerns vector fields that preserve the energy–momentum tensor. These are variously referred to as matter collineations or matter symmetries and are defined by: , where T is the covariant energy–momentum tensor. The intimate relation between geometry and physics may be highlighted he... | Spacetime symmetries | 0.796863 |
94,815 | 2011: "Miniaturized integration of a fluorescence microscope," Nature Methods – with K. Ghosh, L. Burns, E. Cocker, A. Nimmerjahn, Y. Ziv, M. Schnitzer 2006: "Throughput-Delay Trade-offs in Wireless Networks," in two parts, IEEE Trans. Inf. Theory – with J. Mammen, B. Prabhakar, and D. Shah 2002: "Energy-efficient Pack... | Abbas El Gamal | 0.796863 |
94,816 | Nuclear physicists around the world say this discovery, if confirmed, would be a milestone in the field of nuclear physics and certainly would deepen our understanding of the nuclear forces.The dineutron is another hypothetical particle. In 2012, Artemis Spyrou from Michigan State University and coworkers reported that... | N particle | 0.796863 |
94,817 | The water-quality data include highway-runoff-quality statistics, upstream-water-quality statistics, downstream-water-quality definitions, and BMP-performance statistics. There also is a GUI form for running the model and accessing the distinct set of output files. The SELDM interface is designed to populate the databa... | Stochastic Empirical Loading and Dilution Model | 0.796862 |
94,818 | Fesenkov Astrophysical Institute (Астрофизический институт имени В. Г. Фесенкова, АФИФ), or FAI, is a research institute in Almaty, Kazakhstan. The institute was founded in 1941 as the Institute for Astronomy and Physics of the Kazakh branch of the USSR Academy of Sciences, when a group of Soviet astronomers was evacua... | Fesenkov Astrophysical Institute | 0.796862 |
94,819 | Therefore, r' is an accepting run and w' ∈ L(A). By the above theorems, we can represent Σω-L(A) as finite union of ω-regular languages of the form Lf(Lg)ω, where Lf and Lg are equivalence classes of ~A. Therefore, Σω-L(A) is an ω-regular language. | Complementation of Büchi automaton | 0.796862 |
94,820 | The similarity of the solution to the branching structures seen in multiple inanimate and living things led to his statement of what he calls a new law of nature: "For a finite-size system to persist in time (to live), it must evolve in such a way that it provides easier access to the imposed (global) currents that flo... | Constructal law | 0.796861 |
94,821 | Two n-dimensional manifolds M and N are h-cobordant if there exists an (n + 1)-dimensional manifold with boundary W whose boundary is the disjoint union of M and N and for which the inclusions of M and N into W are homotopy equivalences (in the categories TOP, PL, or DIFF). Stephen Smale's h-cobordism theorem asserted ... | Algebraic K-theory | 0.796861 |
94,822 | Dynamical simulation, in computational physics, is the simulation of systems of objects that are free to move, usually in three dimensions according to Newton's laws of dynamics, or approximations thereof. Dynamical simulation is used in computer animation to assist animators to produce realistic motion, in industrial ... | Physical simulation | 0.796861 |
94,823 | Another limitation is that Statcheck cannot deal with statistical corrections to test statistics, like Greenhouse–Geisser or Bonferroni corrections, which actually make tests more conservative. Some journals have begun piloting Statcheck as part of their peer review process. Statcheck is free software published under t... | Statcheck | 0.796861 |
94,824 | Birkhoff held no Ph.D., a qualification British higher education did not emphasize at that time, and did not even bother obtaining an M.A. Nevertheless, after being a member of Harvard's Society of Fellows, 1933–36, he spent the rest of his career teaching at Harvard. During the 1930s, Birkhoff, along with his Harvard ... | Garrett Birkhoff | 0.796861 |
94,825 | Couper was the only surviving son of a wealthy textile mill owner near Glasgow. He studied at the universities of Glasgow and Edinburgh and intermittently in Germany during the years 1851-54. He began the formal study of chemistry at the University of Berlin in the autumn of 1854, then in 1856 entered Charles Adolphe W... | Archibald Scott Couper | 0.796861 |
94,826 | Since its inception, the ADS has developed a highly complex search engine to query the abstract and object databases. The search engine is tailor-made for searching astronomical abstracts, and the engine and its user interface assume that the user is well-versed in astronomy and able to interpret search results which a... | Astrophysics Data System | 0.79686 |
94,827 | This appears in Karel Čapek's R.U.R., the films A.I. Artificial Intelligence and Ex Machina, as well as the novel Do Androids Dream of Electric Sheep?, by Philip K. Dick. Dick considers the idea that our understanding of human subjectivity is altered by technology created with artificial intelligence. | Machine intelligence | 0.79686 |
94,828 | In physics, the reciprocal lattice represents the Fourier transform of another lattice. The direct lattice or real lattice is a periodic function in physical space, such as a crystal system (usually a Bravais lattice). The reciprocal lattice exists in the mathematical space of spatial frequencies, known as reciprocal s... | Reciprocal space | 0.79686 |
94,829 | Deutsche Physikalische Gesellschaft (DPG, German Physical Society) is the world's largest organization of physicists. The DPG actively participates in communication between physics and the general public with several popular scientific publications and events such as the "Highlights of Physics" which is an annual physi... | Physics outreach | 0.79686 |
94,830 | Drop formation is controlled by the fluid properties and nozzle geometry. Drive pulse amplitude and timing play a major role in drop volume and formation. Generally, DOD technology can be very complicated to understand and use. | Inkjet technology | 0.79686 |
94,831 | There are dozens of OSC applications, including real-time sound and media processing environments, web interactivity tools, software synthesizers, programming languages and hardware devices. OSC has achieved wide use in fields including musical expression, robotics, video performance interfaces, distributed music syste... | Open Sound Control | 0.79686 |
94,832 | Miriam Kastner has enjoyed the sciences since she was a child and had originally wanted to be a mathematician, however she had later decided down the road that, math was not the career for her as there were far fewer careers to pursue in mathematics. Miriam had noticed that not many women were scientists in her early l... | Miriam Kastner | 0.79686 |
94,833 | There are at least three competing definitions of the polar of a set, originating in projective geometry and convex analysis. In each case, the definition describes a duality between certain subsets of a pairing of vector spaces ⟨ X , Y ⟩ {\displaystyle \langle X,Y\rangle } over the real or complex numbers ( X {\displa... | Polar set | 0.79686 |
94,834 | From 1956 he was assistant professor and later professor at the Rensselaer Polytechnic Institute. Since 1967, he was there Ford Foundation Professor of Mathematics. His research is in Algebra, Mathematical Programming, Operations Research, and Statistics. | Carlton E. Lemke | 0.796859 |
94,835 | BRIDGE funded 44 research projects: 4 multidisciplinary; 15 geology; 6 biology; 11 studies of the hydrothermal environment at vent fields (9 of the ocean floor and 2 of the overlying water column); and 8 engineering projects to develop the required technologies. More than 200 scientists in 28 research centres around th... | British Mid-Ocean Ridge Initiative | 0.796859 |
94,836 | This analyzes the rendered image in order to split the workload equally between the two GPUs. To do this, the frame is split horizontally in varying ratios depending on geometry. For example, in a scene where the top half of the frame is mostly empty sky, the dividing line will lower, balancing geometry workload betwee... | Scalable Link Interface | 0.796859 |
94,837 | Milsom & Eriksen (2011) provide a useful field book for field geophysics. | Near-surface geophysics | 0.796859 |
94,838 | For weighted graphs with positive edge weights w: E → R + {\displaystyle w\colon E\rightarrow \mathbf {R} ^{+}} the weight of the cut is the sum of the weights of edges between vertices in each part w ( S , T ) = ∑ u v ∈ E: u ∈ S , v ∈ T w ( u v ) , {\displaystyle w(S,T)=\sum _{uv\in E\colon u\in S,v\in T}w(uv)\,,} whi... | Karger's algorithm | 0.796858 |
94,839 | In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures investigated in functional analysis. A topological vector space is a vector space that is also a topological space with the property that the vector space operations ... | Vector topology | 0.796858 |
94,840 | The physics and physiology knowledge required is fairly basic, and helps the diver to understand the effects of the diving environment so that informed acceptance of the associated risks is possible. The physics mostly relates to gases under pressure, buoyancy, heat loss, and light underwater. The physiology relates th... | Diving mode | 0.796858 |
94,841 | The asd RNA motif is a conserved RNA structure found in certain lactic acid bacteria. The asd motif was detected by bioinformatics and an individual asd RNA in Streptococcus pyogenes was detected by microarray and northern hybridization experiments as a 170-nucleotide molecule called "SR914400". The transcription start... | Asd RNA motif | 0.796858 |
94,842 | time-invariant systemA systems whose characteristics don't vary significantly with time. topologyThe shape of an electrical network, independent of its size or values. | Glossary of electrical and electronics engineering | 0.796858 |
94,843 | Sulfur tetrafluoride is the premier example of a molecule with the disphenoidal molecular geometry (see image at upper right). The following compounds and ions have disphenoidal geometry: SF4 SeF4 IF2O−2 IOF3 ClF+4 TeF4 XeO2F2 SCl4 AsF−4 | Seesaw (chemistry) | 0.796857 |
94,844 | In mathematics, more specifically in algebraic geometry, the Griffiths group of a projective complex manifold X measures the difference between homological equivalence and algebraic equivalence, which are two important equivalence relations of algebraic cycles. More precisely, it is defined as Griff k ( X ) := Z k ( ... | Griffiths group | 0.796857 |
94,845 | One way to prove the Pitot theorem is to divide the sides of any given tangential quadrilateral at the points where its inscribed circle touches each side. This divides the four sides into eight segments, between a vertex of the quadrilateral and a point of tangency with the circle. Any two of these segments that meet ... | Pitot theorem | 0.796857 |
94,846 | Because of its non-invasive nature, tensiomyography provides rapid accurate diagnostic data without discomfort or disruption of the routine of the person whose muscles are being assessed. Tensiomyography was originally designed for optimization of rehabilitation processes in medicine. Moving on, tensiomyography is used... | Tensiomyography | 0.796857 |
94,847 | In radiobiology, the relative biological effectiveness (often abbreviated as RBE) is the ratio of biological effectiveness of one type of ionizing radiation relative to another, given the same amount of absorbed energy. The RBE is an empirical value that varies depending on the type of ionizing radiation, the energies ... | Relative Biological Effectiveness | 0.796856 |
94,848 | The differential is defined in modern treatments of differential calculus as follows. The differential of a function f ( x ) {\displaystyle f(x)} of a single real variable x {\displaystyle x} is the function d f {\displaystyle df} of two independent real variables x {\displaystyle x} and Δ x {\displaystyle \Delta x} gi... | Total differential | 0.796856 |
94,849 | Van der Waals still lacked the knowledge of the classical languages that would have given him the right to enter university as a regular student and to take examinations. However, it so happened that the law regulating the university entrance was changed and dispensation from the study of classical languages could be g... | Johannes Diderik van der Waals | 0.796856 |
94,850 | Active site topology and interactions with the substrate are very similar with the exception of the glycerol side chain which offers some strategic options in designing inhibitors targeting either vNEU or hNEU. In hNEU the glycerol hydroxyl-groups are bound via several tyrosine residues but in vNEU the main interaction... | Discovery and development of neuraminidase inhibitors | 0.796856 |
94,851 | In this way, the Hartree–Fock orbitals are optimized iteratively until the change in total electronic energy falls below a predefined threshold. In this way, a set of self-consistent one-electron orbitals is calculated. The Hartree–Fock electronic wave function is then the Slater determinant constructed from these orbi... | Self-consistent field method | 0.796855 |
94,852 | Having earned only a high school diploma after three and a half years of study at Hamburg University, de Boor entered Harvard University as a graduate student of mathematics. After working for a year as a research assistant to Garrett Birkhoff, he went to work for General Motors Research in Warren, Michigan, where he m... | Carl R. de Boor | 0.796855 |
94,853 | Thus Grosseteste concluded, following much of what Boethius had argued, that mathematics was the highest of all sciences, and the basis for all others, since every natural science ultimately depended on mathematics. He supported this conclusion by looking at light, which he believed to be the "first form" of all things... | Robert Grosseteste | 0.796855 |
94,854 | Let G be a compact group. The theorem has three parts. The first part states that the matrix coefficients of irreducible representations of G are dense in the space C(G) of continuous complex-valued functions on G, and thus also in the space L2(G) of square-integrable functions. | Peter–Weyl theorem | 0.796854 |
94,855 | Comparative bullet-lead analysis (CBLA), also known as compositional bullet-lead analysis, is a now discredited and abandoned forensic technique which used chemistry to link crime scene bullets to ones possessed by suspects on the theory that each batch of lead had a unique elemental makeup.The technique was first used... | Comparative bullet-lead analysis | 0.796854 |
94,856 | In June 2021, Neuroscience & Biobehavioral Reviews published a systematic review of 82 studies that all confirmed or implied elevated accident-proneness in ADHD patients and whose data suggested that the type of accidents or injuries and overall risk changes in ADHD patients over the lifespan.In November 1999, Biologic... | Accident-proneness | 0.796854 |
94,857 | In multiple-echelon problems, constraints aiming at balancing inbound and outbound flows have to be considered.A sequential single-echelon approach forecasts demand and determines required inventory for each echelon separately. Multi-echelon inventory optimization determines the correct levels of inventory across the n... | Inventory optimization | 0.796854 |
94,858 | In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic. The center of the circle and its radius are called the circumcenter and the ci... | Cyclic quadrilateral | 0.796853 |
94,859 | The main topics of the book are the Platonic solids (regular convex polyhedra), related polyhedra, and their higher-dimensional generalizations. It has 14 chapters, along with multiple appendices, providing a more complete treatment of the subject than any earlier work, and incorporating material from 18 of Coxeter's o... | Regular Polytopes | 0.796853 |
94,860 | He also applied the theory of collisions to models of neutron structure. At the Cavendish laboratory, he also played hockey with Cockcroft, and cricket for the Cavendish Cricket Club, becoming team captain in his final year there.In June 1933 Massey became an independent lecturer in Mathematical Physics at the Queen's ... | Harrie Massey | 0.796853 |
94,861 | A radio frequency (RF) resonant cavity thruster is a device that is claimed to be a spacecraft thruster. In 2016, the Advanced Propulsion Physics Laboratory at NASA reported observing a small apparent thrust from one such test, a result not since replicated. One of the designs is called EMDrive. In December 2002, Satel... | Interstellar space travel | 0.796853 |
94,862 | The Crayford focuser design is reminiscent of the Dobsonian design for telescopes, since instead of precision machining, it relies on geometry to preclude any wobble or backlash . The Crayford is similar in appearance to a Rack and pinion focuser, but has no teeth on either the rack or the pinion. Instead, a round axle... | Crayford focuser | 0.796853 |
94,863 | Har Gobind Khorana 1974 "...for his pioneering and creative contributions to the synthesis of poly-nucleotides, an important science of which he is the acknowledged leader; for his synthesis of polynucleotides containing repeating specific nucleotide specific sequences which contributed profoundly to our understanding ... | Willard Gibbs Award | 0.796853 |
94,864 | Designated as one of MIT's six inaugural MacVicar Faculty Fellows, in 1992, in recognition of his significant and sustained contributions to teaching and undergraduate education 1992 Bose Award, the MIT School of Engineering teaching award 1995 Taylor L. Booth Education Award, given by IEEE Computer Society, cited for ... | Hal Abelson | 0.796853 |
94,865 | For a Weierstrass point it contains at least one higher number. (The Weierstrass gap theorem or Lückensatz is the statement that there must be g {\displaystyle g} gaps.) For hyperelliptic curves, for example, we may have a function F {\displaystyle F} with a double pole at P {\displaystyle P} only. | Weierstrass point | 0.796852 |
94,866 | For example, the question of whether the disk algebra A(D) has a Schauder basis remained open for more than forty years, until Bočkarev showed in 1974 that a basis constructed from the Franklin system exists in A(D). One can also prove that the periodic Franklin system is a basis for a Banach space Ar isomorphic to A(D... | Schauder basis | 0.796852 |
94,867 | Quantum logic can be regarded as a kind of propositional logic suitable for understanding the apparent anomalies regarding quantum measurement, most notably those concerning composition of measurement operations of complementary variables. This research area and its name originated in the 1936 paper by Garrett Birkhoff... | Quantum metaphysics | 0.796852 |
94,868 | The topology of  can be defined in several equivalent ways. We first define it in terms of the primitive spectrum . The primitive spectrum of A is the set of primitive ideals Prim(A) of A, where a primitive ideal is the kernel of a non-zero irreducible *-representation. The set of primitive ideals is a topological spa... | Hull-kernel topology | 0.796852 |
94,869 | The theorem was used by Noga Alon in the context of necklace splitting in 1987. Suppose the interval is a cake. There are n partners and each of the n functions is a value-density function of one partner. We want to divide the cake into two parts such that all partners agree that the parts have the same value. | Hobby–Rice theorem | 0.796852 |
94,870 | In Y chromosome phylogenetics, subclades are the branches of a haplogroup. These subclades are also defined by single-nucleotide polymorphisms (SNPs) or unique-event polymorphisms (UEPs). Haplogroup Q-M242, according to the most recent available phylogenetics has between 15 and 21 subclades. | Haplogroup Q-M242 (Y-DNA) | 0.796852 |
94,871 | Bengt Strömgren made momentous contributions to astrophysics. He found that the chemical composition of stars was very much different than previously assumed. In the late 1930s, he found the relative abundance of hydrogen to be nearly 70%, and helium to be about 27%. Just before the war, he discovered the so-called Str... | Bengt Strömgren | 0.796851 |
94,872 | In mathematics, the Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no solution in radicals to general polynomial equations of degree five or higher with arbitrary coefficients. Here, general means that the coefficients of the equation are viewed and manipulated as indeterminates.... | Abel–Ruffini theorem | 0.796851 |
94,873 | By modern definition, dynamic combinatorial chemistry is generally considered to be a method of facilitating the generation of new chemical species by the reversible linkage of simple building blocks, under thermodynamic control. This principle is known to select the most thermodynamically stable product from an equili... | Dynamic combinatorial chemistry | 0.796851 |
94,874 | Nanomaterials have at least one primary dimension of less than 100 nanometers, and often have properties different from those of their bulk components that are technologically useful. Because nanotechnology is a recent development, the health and safety effects of exposures to nanomaterials, and what levels of exposure... | Engineering controls for nanomaterials | 0.79685 |
94,875 | The main usefulness of the ideal lattices in cryptography stems from the fact that very efficient and practical collision resistant hash functions can be built based on the hardness of finding an approximate shortest vector in such lattices. Independently constructed collision resistant hash functions by Peikert and Ro... | Ideal lattice | 0.79685 |
94,876 | On heating to its melting point, sodium tetrafluoroborate decomposes to sodium fluoride and boron trifluoride: NaBF4 → NaF + BF3It is a source of tetrafluoroborate anion, which is used in organic chemistry for the preparation of salts. Sodium tetrafluoroborate can be used for synthesis of ionic liquids, where tetrafluo... | Sodium tetrafluoroborate | 0.796849 |
94,877 | There are always many different functions with any given asymptotic expansion. However, there is sometimes a best possible function, in the sense that the errors in the finite-dimensional approximations are as small as possible in some region. Watson's theorem and Carleman's theorem show that Borel summation produces s... | Borel summation | 0.796849 |
94,878 | There are several advantages to using magnetic 3D bioprinting over other 3D printing modalities such as extrusion, photolithography, and stereolithography. This includes the rapid bioprinting process (15 min – 1 h) compared to the days-long processes of others; the endogenous synthesis of extracellular matrix (ECM) wit... | Magnetic 3D bioprinting | 0.796849 |
94,879 | 2000-2004: Ministry of Education, Molecular Biology and Genome Information Science Research Committee, Japan. 2003: Visiting professor, Faculty of Information Technology Science, Nankai University, China. 2007: Adjunct Fellow and professor at the Cyber Security & Privacy Research Institute (CyLab) at Carnegie Mellon Un... | Hideto Tomabechi | 0.796849 |
94,880 | Callahan, James J. (2000). The Geometry of Spacetime: An Introduction to Special and General Relativity. | Undergraduate Texts in Mathematics | 0.796849 |
94,881 | In the case of photo cameras, single images may be output and, if applicable, voice comments as files. The application domains of industry, medicine, astronomy, microscopy and science often use special monochrome cameras. They forgo any signal enhancement and thus output the digital image data in its raw state. | FireWire camera | 0.796849 |
94,882 | As a trigonal bipyramidal molecule undergoes Berry pseudorotation, it proceeds via an intermediary stage with the square pyramidal geometry. Thus even though the geometry is rarely seen as the ground state, it is accessed by a low energy distortion from a trigonal bipyramid. Pseudorotation also occurs in square pyramid... | Square pyramidal molecular geometry | 0.796849 |
94,883 | Sociobiology: The New Synthesis (1975; 25th anniversary edition 2000) is a book by the biologist E. O. Wilson. It helped start the sociobiology debate, one of the great scientific controversies in biology of the 20th century and part of the wider debate about evolutionary psychology and the modern synthesis of evolutio... | Sociobiology: The New Synthesis | 0.796849 |
94,884 | NC when viewed microscopically, are poorly differentiated carcinomas which show abrupt transitions to islands of well-differentiated squamous epithelium. This tumor pattern is not specific or unique to NUT carcinoma, but this pattern is most suggestive of the diagnosis. The neoplastic cells will show a positive reactio... | NUT midline carcinoma | 0.796848 |
94,885 | In many ways, Germany took the lead in coal gas research and carbon chemistry. With the labours of August Wilhelm von Hofmann, the whole German chemical industry emerged. Using the coal gas waste as feedstock, researchers developed new processes and synthesized natural organic compounds such as Vitamin C and aspirin. T... | Coal gas | 0.796848 |
94,886 | FIR filter are more popular since it is easier to implement. For 1-D oversampled FIR filter banks, the Euclidean algorithm plays a key role in the matrix inverse problem. However, the Euclidean algorithm fails for multidimensional (MD) filters. For MD filter, we can convert the FIR representation into a polynomial repr... | Filter bank | 0.796848 |
94,887 | In algebra, an Okubo algebra or pseudo-octonion algebra is an 8-dimensional non-associative algebra similar to the one studied by Susumu Okubo. Okubo algebras are composition algebras, flexible algebras (A(BA) = (AB)A), Lie admissible algebras, and power associative, but are not associative, not alternative algebras, a... | Okubo algebra | 0.796847 |
94,888 | Some of the examples that have been studied include: The group of diffeomorphisms of a manifold. Quite a lot is known about the group of diffeomorphisms of the circle. Its Lie algebra is (more or less) the Witt algebra, whose central extension the Virasoro algebra (see Virasoro algebra from Witt algebra for a derivatio... | Lie group theory | 0.796847 |
94,889 | Among the thinkers opposed to modern technologies, Jacques Ellul (The Technological Society, 1954; The technological bluff, 1988), Lewis Mumford and E. F. Schumacher. In the second volume of his book The Myth of the Machine (1970), Lewis Mumford develops the notion of "biotechnology", to designate "bioviable" technique... | Low technology | 0.796847 |
94,890 | The property of completeness is crucial in advanced treatments and applications of quantum mechanics. For instance, the existence of projection operators or orthogonal projections relies on the completeness of the space. These projection operators, in turn, are essential for the statement and proof of many useful theor... | Quantum wave function | 0.796847 |
94,891 | In multivariable calculus, the implicit function theorem is a tool that allows relations to be converted to functions of several real variables. It does so by representing the relation as the graph of a function. There may not be a single function whose graph can represent the entire relation, but there may be such a f... | Implicit function theorem | 0.796847 |
94,892 | Plasma cosmology is a non-standard cosmology whose central postulate is that the dynamics of ionized gases and plasmas play important, if not dominant, roles in the physics of the universe at interstellar and intergalactic scales. In contrast, the current observations and models of cosmologists and astrophysicists expl... | Alfvén–Klein cosmology | 0.796847 |
94,893 | Since the complex numbers are not ordered, the definition given at the top for the real absolute value cannot be directly applied to complex numbers. However, the geometric interpretation of the absolute value of a real number as its distance from 0 can be generalised. The absolute value of a complex number is defined ... | Magnitude of Complex Number | 0.796846 |
94,894 | For each point p, construct the stereographic projection of s(p) with p as the point of tangency. Then v(p) is the displacement vector of this projected point relative to p. According to the hairy ball theorem, there is a p such that v(p) = 0, so that s(p) = p. This argument breaks down only if there exists a point p f... | Hairy ball theorem | 0.796846 |
94,895 | Van der Waerden's theorem, a precursor of Szemerédi's theorem, was proven in 1927. The cases k = 1 and k = 2 of Szemerédi's theorem are trivial. The case k = 3, known as Roth's theorem, was established in 1953 by Klaus Roth via an adaptation of the Hardy–Littlewood circle method. Endre Szemerédi proved the case k = 4 t... | Szemerédi's theorem | 0.796846 |
94,896 | If the alternation theorem is satisfied, then we compute h(n) and we are done.To gain a basic understanding of the Parks–McClellan Algorithm mentioned above, we can rewrite the algorithm above in a simpler form as: Guess the positions of the extrema are evenly spaced in the pass and stop band. Perform polynomial interp... | Parks–McClellan filter design algorithm | 0.796845 |
94,897 | A random vector is a column vector X = ( X 1 , . . . , X n ) T {\displaystyle \mathbf {X} =(X_{1},...,X_{n})^{T}} (or its transpose, which is a row vector) whose components are scalar-valued random variables on the same probability space ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} , where Ω {\displaystyle ... | Random element | 0.796845 |
94,898 | Hero's ethnicity may have been either Greek or Hellenized Egyptian. It is almost certain that Hero taught at the Musaeum which included the famous Library of Alexandria, because most of his writings appear as lecture notes for courses in mathematics, mechanics, physics and pneumatics. Although the field was not formali... | Hero of Alexandria | 0.796845 |
94,899 | An Integrated Solar Combined Cycle (ISCC) is a hybrid technology in which a solar thermal field is integrated within a combined cycle plant. In ISCC plants, solar energy is used as an auxiliary heat supply, supporting the steam cycle, which results in increased generation capacity or a reduction of fossil fuel use.Ther... | Topping cycle | 0.796844 |
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