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98,600 | She comments that her motivation for writing this book was her "thinking that there were people who wanted a more complete and balanced vision of the current state of physics." She has noticed there is a large audience that thinks physics is about the bizarre or exotic. She observes that when people develop an understa... | Warped Passages | 0.796106 |
98,601 | According to IUPAC, a mesoporous material can be disordered or ordered in a mesostructure. In crystalline inorganic materials, mesoporous structure noticeably limits the number of lattice units, and this significantly changes the solid-state chemistry. For example, the battery performance of mesoporous electroactive ma... | Mesoporous materials | 0.796106 |
98,602 | Square prismatic geometry (D4h) is much less common compared to the square antiprism. An example of a molecular species with square prismatic geometry (a slightly flattened cube) is octafluoroprotactinate(V), 3–, as found in its sodium salt, Na3PaF8. While local cubic 8-coordination is common in ionic lattices (e.g., C... | Square antiprismatic molecular geometry | 0.796105 |
98,603 | In Hamiltonian formulations, the basic point is replacement of set of second order equations by another first order set of equations. We may get this second set of equations by Hamiltonian formulation in an easy way. Of course this is very useful for numerical physics, because reducing the order of differential equatio... | ADM formalism | 0.796105 |
98,604 | Performing situational awareness and communication is the one of four primary MBT functions in the 21st century. To improve the crew's situational awareness MBTs use circular review system with a combination of Augmented reality and Artificial Intelligence technologies.Further advancements in tank defense systems have ... | Tank gunner | 0.796105 |
98,605 | 3. See also h-cobordism theorem, s-cobordism theorem. coefficient ring If E is a ring spectrum, then the coefficient ring of it is the ring π ∗ E {\displaystyle \pi _{*}E} . | Singular simplicial complex | 0.796105 |
98,606 | (2007). Relativistic Quantum theory of atoms and molecules. Atomic, optical, and plasma physics. Springer. ISBN 978-0-387-34671-7. | Relativistic quantum mechanics | 0.796105 |
98,607 | Written earlier, but published later, Jan de Witt's Elementa Curvarum Linearum starts with Kepler's kinematic construction of the conics and then develops the algebraic equations. This work, which uses Fermat's methodology and Descartes' notation has been described as the first textbook on the subject. De Witt invented... | Conic section | 0.796105 |
98,608 | Small-scale aerospike engine development using a hybrid rocket propellant configuration has been ongoing by members of the Reaction Research Society. In 2020 the TU Dresden and Fraunhofer IWS started their CFDμSAT-Project for research on additively manufactured aerospike-engines. A prototype has already been tested in ... | Aerospike engine | 0.796105 |
98,609 | An extended superframe is 24 frames long, and the framing bit of each frame is used in the following manner: All odd-numbered frames (1, 3, ..., 23) are used for the data link (totalling 4000 bits per second), Frames 2, 6, 10, 14, 18, and 22 are used to pass the CRC total of the previous extended superframe (all 4632 b... | Superframe | 0.796105 |
98,610 | The category of schemes admits both a finite fiber product and a finite pushout; they both are constructed by gluing affine schemes. For affine schemes, fiber products and pushouts correspond to tensor products and fiber squares of algebras. | Gluing scheme | 0.796104 |
98,611 | In topology, a quotient space is a topological space formed on the set of equivalence classes of an equivalence relation on a topological space, using the original space's topology to create the topology on the set of equivalence classes. In abstract algebra, congruence relations on the underlying set of an algebra all... | Equivalence classes | 0.796104 |
98,612 | In differential geometry, a hedgehog or plane hedgehog is a type of plane curve, the envelope of a family of lines determined by a support function. More intuitively, sufficiently well-behaved hedgehogs are plane curves with one tangent line in each oriented direction. A projective hedgehog is a restricted type of hedg... | Hedgehog (geometry) | 0.796104 |
98,613 | random transformations? Yes, it can, but not unique. The proof for existence is similar with Birkhoff–von Neumann theorem for doubly stochastic matrix. | Random dynamical system | 0.796103 |
98,614 | EDC and RGTC, "Exterior Differential Calculus" and "Riemannian Geometry & Tensor Calculus," are free Mathematica packages for tensor calculus especially designed but not only for general relativity. Tensorial "Tensorial 4.0" is a general purpose tensor calculus package for Mathematica. xAct: Efficient Tensor Computer A... | Tensor software | 0.796103 |
98,615 | In Edward N. Zalta (ed.). Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University. | Pre-Socratic philosophy | 0.796103 |
98,616 | The study of shape and statistics in populations are local theories, indexing shapes and structures to templates to which they are bijectively mapped. Statistical shape is then the study of diffeomorphic correspondences relative to the template. A core operation is the generation of templates from populations, estimati... | Computational Anatomy | 0.796103 |
98,617 | Some refinements in the theory post-1960 have been made, such as continuous cocycles and John Tate's redefinition, but the basic outlines remain the same. This is a large field, and now basic in the theories of algebraic groups. The analogous theory for Lie algebras, called Lie algebra cohomology, was first developed i... | Cohomology of groups | 0.796103 |
98,618 | In quantum mechanics, they occur in the Pauli equation which takes into account the interaction of the spin of a particle with an external electromagnetic field. They also represent the interaction states of two polarization filters for horizontal / vertical polarization, 45 degree polarization (right/left), and circul... | Pauli matrices | 0.796103 |
98,619 | ICRANet co-organizes with ICRA Joint Astrophysics Seminar at the Department of Physics of University "La Sapienza" in Rome. All institutions collaborating with ICRANet, as well as ICRANet centers, participate at those seminars. | ICRANet | 0.796103 |
98,620 | Merle does research on partial differential equations (PDEs) and mathematical physics, notably dispersive nonlinear PDEs such as the nonlinear Schrödinger equation and the Korteweg-de Vries equation, and the study of such PDE solutions which over time break down or diverge (blow up). Such research earned him in 2005 th... | Frank Merle (mathematician) | 0.796103 |
98,621 | In terms of sheaves, any scheme A over Spec(K) represents a sheaf on the category of schemes smooth over Spec(K) with the smooth Grothendieck topology, and this has a pushforward by the injection map from Spec(K) to Spec(R), which is a sheaf over Spec(R). If this pushforward is representable by a scheme, then this sche... | Néron model | 0.796102 |
98,622 | The Proceedings of the IEEE is a monthly peer-reviewed scientific journal published by the Institute of Electrical and Electronics Engineers (IEEE). The journal focuses on electrical engineering and computer science. According to the Journal Citation Reports, the journal has a 2017 impact factor of 9.107, ranking it si... | Proceedings of the IEEE | 0.796102 |
98,623 | In condensed matter physics, a time crystal is a quantum system of particles whose lowest-energy state is one in which the particles are in repetitive motion. The system cannot lose energy to the environment and come to rest because it is already in its quantum ground state. Because of this, the motion of the particles... | Time crystals | 0.796102 |
98,624 | The primitive recursion schema as given may be replaced by one which makes use of fewer parameters. Let w {\displaystyle w} be an elementary pairing function, and π 1 , π 2 {\displaystyle \pi _{1},\pi _{2}} be its projection functions for inversion. Theorem: Any function constructible via the clauses of primitive recur... | Primitive recursive | 0.796101 |
98,625 | The homeomorphism group (or the subgroup of diffeomorphisms) of the torus is studied in geometric topology. Its mapping class group (the connected components of the homeomorphism group) is surjective onto the group GL ( n , Z ) {\displaystyle \operatorname {GL} (n,\mathbb {Z} )} of invertible integer matrices, which ... | Flat torus | 0.796101 |
98,626 | Data on epidemiology is limited by the lack of large, rigorous studies; and rates vary by infection. Mononucleosis is among the best studied, and available studies found that 7-9% had persistent symptoms 12 months after infection, and 4% had serious symptoms after 2 years. The British Office of National Statistics data... | Post-acute infection syndrome | 0.796101 |
98,627 | There is some moderate (level B) evidence to indicate that, in addition to treating major depressive disorder, tDCS may also be appropriate to treat fibromyalgia, and craving disorders.tDCS has been used in neuroscience research, particularly to try to link specific brain regions to specific cognitive tasks or psycholo... | Transcranial direct-current stimulation | 0.7961 |
98,628 | The BARC also researches biotechnology at the Gamma Gardens and has developed numerous disease-resistant and high-yielding crop varieties, particularly groundnuts. It also conducts research in Liquid Metal Magnetohydrodynamics for power generation. On 4 June 2005, intending to encourage research in basic sciences, BARC... | Bhabha Atomic Research Centre | 0.7961 |
98,629 | In mathematics, the Noether inequality, named after Max Noether, is a property of compact minimal complex surfaces that restricts the topological type of the underlying topological 4-manifold. It holds more generally for minimal projective surfaces of general type over an algebraically closed field. | Noether inequality | 0.7961 |
98,630 | Deformed power is a concept in electrical engineering which characterize the distortion to the sinusoidal states in electric network. It was introduced by Constantin Budeanu in 1927. It is defined by the following formula: S = P 2 + Q 2 + D 2 {\displaystyle S={\sqrt {P^{2}+Q^{2}+D^{2}}}} where S, P, Q, D are the appare... | Deformed power | 0.7961 |
98,631 | The distance to the rod could then be determined from the distance between the targets on the rod by trigonometry.Several others have been credited with the invention of the rangefinder telemeter at one time or another. The Royal Society of Arts gave an award to W. Green for its invention in 1778, even though they were... | Range finder | 0.7961 |
98,632 | So this is a Pfaffian chain of order r and degree α = r. All of the algebraic functions are Pfaffian on suitable domains, as are the hyperbolic functions. The trigonometric functions on bounded intervals are Pfaffian, but they must be formed indirectly. For example, the function cos(x) is a polynomial in the Pfaffian c... | Pfaffian function | 0.7961 |
98,633 | In organic chemistry, an epoxide is a cyclic ether, where the ether forms a three-atom ring: two atoms of carbon and one atom of oxygen. This triangular structure has substantial ring strain, making epoxides highly reactive, more so than other ethers. They are produced on a large scale for many applications. In general... | Epoxy group | 0.796099 |
98,634 | He spent time as a post-doctoral researcher with the group of Edward Charles Cyril Baly at the University of Liverpool, UK. Baly was a pioneer in the application of the technique of spectroscopy in chemistry, and Hecht took this further by applying it to biological molecules. : 409 Hecht's responsibility in showing the... | Selig Hecht | 0.796099 |
98,635 | Calcutta Math. Soc., 73: 55–63 Sarath B.; Varadarajan, K. (1979), "Dual Goldie dimension II", Communications in Algebra, 7 (17): 1885–1899, doi:10.1080/00927877908822434 Takeuchi, T. | Uniform dimension | 0.796099 |
98,636 | The methylthioirontricarbonyl dimer is a butterfly cluster compound, consisting of two iron atoms with distorted square pyramidal coordination geometry. The geometry is octahedral if the Fe-Fe bond is included. Each iron has three terminal carbon monoxide ligands and two bridging methylthiolate ligands. The Fe-Fe dista... | Methylthioirontricarbonyl dimer | 0.796098 |
98,637 | The genetics of rats was studied by William Ernest Castle at the Bussey Institute of Harvard University until it closed in 1994. Rats have long been used in cancer research; for instance at the Crocker Institute for Cancer Research. The historical importance of this species to scientific research is reflected by the am... | Laboratory rats | 0.796098 |
98,638 | He is currently the Senior Advisor for Nanotechnology at the National Science Foundation, as well as the founding chair of the National Science and Technology Council subcommittee on Nanoscale Science, Engineering and Technology.President Bill Clinton advocated nanotechnology development. In a 21 January 2000 speech at... | History of nanotechnology | 0.796098 |
98,639 | Categories of Being: Essays on Metaphysics and Logic. New York: Oxford University Press. Hoffman, J., and Rosenkrantz, G. S.,1994. | Ontological catalogue | 0.796098 |
98,640 | As of Version 13, there are 6,051 built-in functions and symbols in the Wolfram Language. Stephen Wolfram announced the launch of the Wolfram Function Repository in June 2019 as a way for the public Wolfram community to contribute functionality to the Wolfram Language. At the time of Stephen Wolfram's release announcem... | Wolfram Mathematica | 0.796098 |
98,641 | The Sri Lanka Institute of Nanotechnology (Sinhala: ශ්රී ලංකා නිනිති තාක්ෂණ ආයතනය; Tamil: இலங்கை நனோ தொழில்நுட்ப நிறுவனம்) (abbreviated and commonly known as SLINTEC) is a Sri Lankan research institute specialising in the field of nanotechnology. It was incorporated in 2008 as a public-private partnership between the ... | Sri Lanka Institute of Nanotechnology | 0.796098 |
98,642 | The proof of this is spread out over hundreds of journal articles which makes it hard to estimate its total length, which is probably around 10000 to 20000 pages. 2004 Robertson–Seymour theorem. | List of long mathematical proofs | 0.796098 |
98,643 | To get a general theory, one needs to consider a ring structure on K ⊗ N L {\displaystyle K\otimes _{N}L} . One can define the product ( a ⊗ b ) ( c ⊗ d ) {\displaystyle (a\otimes b)(c\otimes d)} to be a c ⊗ b d {\displaystyle ac\otimes bd} (see Tensor product of algebras). This formula is multilinear over N in each va... | Complex embedding | 0.796098 |
98,644 | The center is partnered with nearly 20 market-leading IT companies, which contribute hardware, software and expertise.The NCCoE asks industry sector members about their cybersecurity problems, and then selects issues that affect an entire sector or reach across sectors. The center forms a team of people from cybersecur... | National Cybersecurity Center of Excellence | 0.796098 |
98,645 | The results showed no interference from acidity or from the presence of 50 mM perchlorate which is 20 times higher than that found at the Phoenix landing site. SOLID demonstrated that the chosen antibodies are unaffected by acidity, heat and oxidants such as perchlorates, and it has emerged as a viable choice for an as... | Signs Of LIfe Detector | 0.796097 |
98,646 | Baylis has also played a role in fostering and helping to direct the health science research community in Canada. She served on the governing councils of the Canadian Biotechnology Advisory Committee (1999-2001), Canadian Institutes of Health Research (2001-2004), and Assisted Human Reproduction Canada (2006-2010). She... | Francoise Baylis | 0.796097 |
98,647 | So Einstein didn't have to introduce "fictitious" masses and also avoided the perpetual motion problem, because according to Darrigol, Poincaré's radiation paradox can simply be solved by applying Einstein's equivalence. If the light source loses mass during the emission by E / c 2 {\displaystyle E/c^{2}} , the contrad... | Lorentz ether theory | 0.796096 |
98,648 | Environmental stressors have also been found to prospectively increase risk for PMDD symptoms. Environmental components such as stress, hormonal fluctuation, and epigenetics play a key role in the pathology and onset of the disorder. Some studies have noted evidence of interpersonal trauma (domestic violence, physical ... | Premenstrual dysphoric disorder | 0.796096 |
98,649 | Bailyn, M. (1994). A Survey of Thermodynamics, American Institute of Physics Press, New York, ISBN 0-88318-797-3. Callen, H.B. | Thermodynamic operation | 0.796096 |
98,650 | The term KMS state comes from the Kubo–Martin–Schwinger condition in quantum statistical mechanics. A KMS state ϕ {\displaystyle \phi } on a von Neumann algebra M with a given 1-parameter group of automorphisms αt is a state fixed by the automorphisms such that for every pair of elements A, B of M there is a bounded co... | Tomita–Takesaki theory | 0.796096 |
98,651 | The study used stream chemistry as a means of monitoring ecosystem properties, and developed a detailed biogeochemical model of the ecosystem. Long-term research at the site led to the discovery of acid rain in North America in 1972. Researchers documented the depletion of soil cations (especially calcium) over the nex... | Ecosystem | 0.796096 |
98,652 | McCafferty founded a new therapeutic antibody discovery biotechnology company, IONTAS Ltd. In 2018, McCafferty's 1990 phage research paper was cited by the Nobel committee when awarding the chemistry prize to Sir Gregory Winter, George Smith and Frances Arnold.Kevin Johnson joined CAT in 1990, contributed to the discov... | Cambridge Antibody Technology | 0.796096 |
98,653 | It is also possible to underestimate the usage share by using the number of requests, for example: Firefox 1.5 (and other Gecko-based browsers) and later versions use fast Document Object Model (DOM) caching. JavaScript is executed on page load only from net or disk cache, but not if it is loaded from DOM cache. This c... | Web usage | 0.796095 |
98,654 | The generalised Whitehead product assigns to an element α in the homotopy set and an element β in the homotopy set , an element in the homotopy set , where A, B, and X are spaces, Σ is the suspension (topology), and ∧ is the smash product. This was introduced by Cohen (1957) and Hilton (1965) and later studied in det... | Generalised Whitehead product | 0.796095 |
98,655 | Hogg, Robert V.; McKean, Joseph W.; Craig, Allen T. (2005). Introduction to mathematical statistics (fifth ed.). Upper Saddle River, New Jersey: Prentice Hall. | Robert V. Hogg | 0.796095 |
98,656 | In the twentieth century, the Lefschetz principle, named for Solomon Lefschetz, was cited in algebraic geometry to justify the use of topological techniques for algebraic geometry over any algebraically closed field K of characteristic 0, by treating K as if it were the complex number field. An elementary form of it as... | Lefschetz principle | 0.796095 |
98,657 | 2020A study suggests that all sector defossilisation can be achieved worldwide even for nations with severe conditions. The study suggests that integration impacts depend on "demand profiles, flexibility and storage cost".2021Researchers develop an energy system model for 100% renewable energy, examining feasibility an... | Timeline of sustainable energy research 2020–present | 0.796094 |
98,658 | Riemann's methods relied on an assumption he called Dirichlet's principle, which in 1870 was questioned by Weierstrass. Much later, in 1900, Hilbert justified Riemann's approach by developing the direct method in the calculus of variations. In the 1860s and 1870s, Clebsch, Gordan, Brill, and especially M. Noether studi... | Abstract Algebra | 0.796094 |
98,659 | However, even during this time he continued to work on problems of basic mathematical research.On 19 March 1943 he presented the application to the Faculty of Philosophy and Natural Sciences, with the publication Axiomatisierung der Fregeschen Aussagenkalküle (English: Axiomatisation of Frege's Propositional Calculus),... | Karl Schröter | 0.796094 |
98,660 | Policy and the Global Debate The Face of the Future: Technosapians? Phase II, a conference on emerging technologies and human nature in Washington, D.C., co-sponsored with the Center for Bioethics and Culture (CBC, and the International Center for Technology Assessment (ICTA) Capitol Hill Briefing on Gene Patents and E... | Institute on Biotechnology and the Human Future | 0.796094 |
98,661 | A compositional domain in genetics is a region of DNA with a distinct guanine (G) and cytosine (C) G-C and C-G content (collectively GC content). The homogeneity of compositional domains is compared to that of the chromosome on which they reside. As such, compositional domains can be homogeneous or nonhomogeneous domai... | Compositional domain | 0.796094 |
98,662 | Biotin (also known as vitamin B7 or vitamin H) is one of the B vitamins. It is involved in a wide range of metabolic processes, both in humans and in other organisms, primarily related to the utilization of fats, carbohydrates, and amino acids. The name biotin, borrowed from the German Biotin, derives from the Ancient ... | Biotin | 0.796094 |
98,663 | “Mesosphere” (not to be confused with mesosphere, a layer of the atmosphere) is derived from “mesospheric shell”, coined by Reginald Aldworth Daly, a Harvard University geology professor. In the pre-plate tectonics era, Daly (1940) inferred three spherical layers comprise the outer Earth: lithosphere (including the cru... | Mesoplates | 0.796094 |
98,664 | BioTapestry was created at the Institute of Systems Biology in Seattle, in collaboration with the Davidson Lab at the California Institute of Technology. The project was initiated to support the ongoing development of the model of the GRN regulating the development of the endomesoderm in the sea urchin Strongylocentrot... | BioTapestry | 0.796094 |
98,665 | Whereas we can continue to obtain energy from biofuels indefinitely in principle, the Earth's reserves of fossil fuels was determined millions of years ago and is therefore fixed as far as our foreseeable future is concerned. The great variability in the ease of extraction of fossil fuels however makes its endgame scen... | Carbon-based fuel | 0.796094 |
98,666 | The first problem with this is that the coefficient field for a Weil cohomology theory cannot be the rational numbers. To see this consider the case of a supersingular elliptic curve over a finite field of characteristic p. The endomorphism ring of this is an order in a quaternion algebra over the rationals, and should... | Weil conjectures | 0.796094 |
98,667 | Previously, Geim pioneered ballistic Hall micromagnetometry and discovered a paramagnetic Meissner effect and new vortex physics in superconductors. He has also realised a microfabricated adhesive, based on the gecko's climbing mechanism, now being exploited by DuPont, BAe and TESA. His experiments at Nijmegen on magne... | Andre Geim | 0.796094 |
98,668 | In this topology, the individual filters are connected in series, and a driver or driver combination is connected in parallel with each filter. To understand the signal path in this type of crossover, refer to the "Series Crossover" figure, and consider a high-frequency signal that, during a certain moment, has a posit... | Crossover frequency | 0.796093 |
98,669 | The transportation problem as it is stated in modern or more technical literature looks somewhat different because of the development of Riemannian geometry and measure theory. The mines-factories example, simple as it is, is a useful reference point when thinking of the abstract case. In this setting, we allow the pos... | Optimal transport | 0.796093 |
98,670 | By construction, f is linear over Q {\displaystyle \mathbb {Q} } (not over R {\displaystyle \mathbb {R} } ), but not continuous. Note that f is also not measurable; an additive real function is linear if and only if it is measurable, so for every such function there is a Vitali set. The construction of f relies on the ... | Discontinuous linear functional | 0.796093 |
98,671 | Since the late 80's Shokurov began to contribute to the development of the Minimal model program (MMP). In 1984 he published a paper titled On the closed cone of curves of algebraic 3-folds where he proved that the negative part of the closed cone of effective curves on an algebraic 3-fold (with admissible singularitie... | Vyacheslav Shokurov | 0.796093 |
98,672 | Many of the human evolutionary developmental biology studies have been modeled after primate studies and consider the two together in a comparative model. Brain ontogeny and human life history evolution were looked at by Leigh, in a 2006 paper. He compares brain growth patterns for Homo erectus and Homo sapiens to get ... | Human evolutionary developmental biology | 0.796092 |
98,673 | Typically, differential equations describing the i-th moment will depend on the (i + 1)-st moment. To use moment closure, a level is chosen past which all cumulants are set to zero. This leaves a resulting closed system of equations which can be solved for the moments. The approximation is particularly useful in models... | Moment closure | 0.796092 |
98,674 | The suffix -bacter is in microbiology for many genera and is intended to mean "bacteria". | -bacter | 0.796091 |
98,675 | On 23 March 1946, a graduate student found Lewis's lifeless body under a laboratory workbench at Berkeley. Lewis had been working on an experiment with liquid hydrogen cyanide, and deadly fumes from a broken line had leaked into the laboratory. The coroner ruled that the cause of death was coronary artery disease, beca... | Gilbert N. Lewis | 0.796091 |
98,676 | Elizabeth Janet Browne (née Bell, born 30 March 1950) is a British historian of science, known especially for her work on the history of 19th-century biology. She taught at the Wellcome Trust Centre for the History of Medicine, University College, London, before returning to Harvard. She is currently Aramont Professor ... | Janet Browne | 0.796091 |
98,677 | The S-matrix S β α {\displaystyle S_{\beta \alpha }} describes the amplitude for a process with an initial state α {\displaystyle \alpha } evolving into a final state β {\displaystyle \beta } . If the initial and final states consist of two clusters, with α 1 {\displaystyle \alpha _{1}} and β 1 {\displaystyle \beta _{1... | Cluster decomposition | 0.796091 |
98,678 | In this section we assume that characteristic is not 2, the vector space V is finite-dimensional and that the associated symmetric bilinear form of Q is nondegenerate. A central simple algebra over K is a matrix algebra over a (finite-dimensional) division algebra with center K. For example, the central simple algebras... | Clifford algebras | 0.796091 |
98,679 | Engineering Services ExaminationThe incumbents who were Graduates in Engineering used to get selected by the Union Public Services Commission, the apex gazetted recruitment body of the Government of India. In 2020 Railways separated itself from Engineering Services Exam (ESE) and made Indian Railway Management Services... | Indian Railway Service of Mechanical Engineering | 0.796091 |
98,680 | A count matrix of size ( m 1 + 1 ) × ( m 2 + 1 ) {\displaystyle (m_{1}+1)\times (m_{2}+1)} , denoted M {\displaystyle M} , is then constructed where M {\displaystyle M} stores the number of observations that fall into the two-dimensional cell indexed by ( i , j ) {\displaystyle (i,j)} . For streaming data, when a new ... | Spearman's rank correlation | 0.796091 |
98,681 | It must also have developed a planetary communication system, such as the Internet. For Michio Kaku, the only serious threat to a Type II civilization would be the explosion of a nearby supernova, while no known cosmic catastrophe would be capable of wiping out a Type III civilization.According to Philip T. Metzger, hu... | Stellar civilization | 0.796091 |
98,682 | A projective space is a topological space, as endowed with the quotient topology of the topology of a finite dimensional real vector space. Let S be the unit sphere in a normed vector space V, and consider the function that maps a point of S to the vector line passing through it. This function is continuous and surject... | Projective space over a division algebra | 0.796091 |
98,683 | Computational neuroscience (also known as theoretical neuroscience or mathematical neuroscience) is a branch of neuroscience which employs mathematical models, computer simulations, theoretical analysis and abstractions of the brain to understand the principles that govern the development, structure, physiology and cog... | Mathematical neuroscience | 0.79609 |
98,684 | ASReml is a statistical software package for fitting linear mixed models using restricted maximum likelihood, a technique commonly used in plant and animal breeding and quantitative genetics as well as other fields. It is notable for its ability to fit very large and complex data sets efficiently, due to its use of the... | ASReml | 0.79609 |
98,685 | The Eukaryotic Linear Motif (ELM) resource is a computational biology resource (developed at the European Molecular Biology Laboratory (EMBL)) for investigating short linear motifs (SLiMs) in eukaryotic proteins. It is currently the largest collection of linear motif classes with annotated and experimentally validated ... | Eukaryotic Linear Motif resource | 0.796089 |
98,686 | The loopholes mentioned could only be solved from 1998. In the meantime, Aspect's experiment was reproduced, and the violation of Bell's inequalities was systematically confirmed, with a statistical certainty of up to 100 standard deviation. Other experiments were conducted to test the violations of Bell's inequalities... | Aspect's experiment | 0.796089 |
98,687 | A Hilbert-style system needs no distinction between formulae and judgments; we make one here solely for comparison with the cases that follow. The price paid for the simple syntax of a Hilbert-style system is that complete formal proofs tend to get extremely long. Concrete arguments about proofs in such a system almost... | Sequent calculus | 0.796089 |
98,688 | The principal motivation for introducing the number e, particularly in calculus, is to perform differential and integral calculus with exponential functions and logarithms. A general exponential function y = ax has a derivative, given by a limit: d d x a x = lim h → 0 a x + h − a x h = lim h → 0 a x a h − a x h = a x ⋅... | Euler’s number | 0.796089 |
98,689 | In 1943, at the age of 17, he won a scholarship in mathematics to Trinity College, Cambridge, where he qualified after just two years for a BA in mathematics in 1945. He was awarded a PhD in geophysics in 1951.Towards the end of the World War II (December 1943) he started working for the Admiralty Research Laboratory (... | Michael S. Longuet-Higgins | 0.796088 |
98,690 | In May 2012, a series of earthquakes devastated, along with other towns in Emilia, the northern area of the province of Modena, especially Mirandola and the neighbouring municipalities. The biomedical district suffered very serious damage from 20 May onwards, aggravated by the devastating tremor of magnitude 5.8 on 29 ... | Mirandola Biomedical District | 0.796088 |
98,691 | It's safe to say that Fnk will have "at least" the same number of distinct prime factors as Fk. All Fp will have no factors of Fk, but "at least" one new characteristic prime from Carmichael's theorem.Carmichael's Theorem applies to all Fibonacci numbers except four special cases: F 1 = F 2 = 1 , F 6 = 8 {\displaystyle... | Fibonacci prime | 0.796088 |
98,692 | Ruth Aaronson Bari (November 17, 1917 – August 25, 2005) was an American mathematician known for her work in graph theory and algebraic homomorphisms. She was a professor at George Washington University, beginning in 1966. | Ruth Aaronson Bari | 0.796088 |
98,693 | Petr Vopěnka grew up in small town of Dolní Kralovice. After finishing gymnasium in Ledeč nad Sázavou in 1953 he went to study mathematics at the Mathematics and Physics Faculty of Charles University in Prague, graduating in 1958. In 1962 he was made Candidate of Sciences (CSc) and in 1967 Doctor of Science (DrSc). His... | Petr Vopěnka | 0.796087 |
98,694 | Set limits, particularly the limit infimum and the limit supremum, are essential for probability and measure theory. Such limits are used to calculate (or prove) the probabilities and measures of other, more purposeful, sets. For the following, ( X , F , P ) {\displaystyle (X,{\mathcal {F}},\mathbb {P} )} is a probabil... | Set-theoretic limit | 0.796087 |
98,695 | EC-Council CodeRed was launched in 2019 as a cybersecurity learning platform with a library of 4,000 video lessons. It provides "microdegrees" on niche technical subjects. | EC-Council | 0.796087 |
98,696 | That is, there exist numbers c and d in such that: f ( c ) ≥ f ( x ) ≥ f ( d ) for all x ∈ . {\displaystyle f(c)\geq f(x)\geq f(d)\quad {\text{for all }}x\in .} A related theorem is the boundedness theorem which states that a continuous function f in the closed interval is bounded on that interval. That is, there ex... | Glossary of calculus | 0.796087 |
98,697 | Ore is known for his work in ring theory, Galois connections, and most of all, graph theory. His early work was on algebraic number fields, how to decompose the ideal generated by a prime number into prime ideals. He then worked on noncommutative rings, proving his celebrated theorem on embedding a domain into a divisi... | Øystein Ore | 0.796087 |
98,698 | For instance, every point in any given non-empty subset K ⊆ X {\displaystyle K\subseteq X} is a cluster point of the principle prefilter B := { K } {\displaystyle {\mathcal {B}}:=\{K\}} (no matter what topology is on X {\displaystyle X} ) but if X {\displaystyle X} is Hausdorff and K {\displaystyle K} has more than one... | Filters in topology | 0.796087 |
98,699 | The Hopf theorem (named after Heinz Hopf) is a statement in differential topology, saying that the topological degree is the only homotopy invariant of continuous maps to spheres. | Hopf theorem | 0.796087 |
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