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92,400 | The Heawood graph is the Levi graph of the Fano plane, the graph representing incidences between points and lines in that geometry. With this interpretation, the 6-cycles in the Heawood graph correspond to triangles in the Fano plane. Also, the Heawood graph is the Tits building of the group SL3(F2). | Heawood graph | 0.797356 |
92,401 | He obtained his habilitation in 1959 at the University of Heidelberg. In 1962 he moved to National Radio Astronomy Observatory (Green Bank, West Virginia), where he collaborated, inter alia, with Frank Drake. He worked there, among others on the analysis of work and technical optimization of radio telescopes. | Sebastian von Hoerner | 0.797356 |
92,402 | In mathematics, computer science, telecommunication, information theory, and searching theory, error-correcting codes with feedback are error correcting codes designed to work in the presence of feedback from the receiver to the sender. | Error-correcting codes with feedback | 0.797356 |
92,403 | In mathematics, particularly linear algebra and numerical analysis, the Gram–Schmidt process or Gram-Schmidt algorithm is a method for orthonormalizing a set of vectors in an inner product space, most commonly the Euclidean space Rn equipped with the standard inner product. The Gram–Schmidt process takes a finite, line... | Gram-Schmidt theorem | 0.797356 |
92,404 | Meanwhile, neuropharmacological studies of selected brain areas began to shed light on the molecules possibly responsible for fast consolidation. In recent decades, advancements in cellular preparations, molecular biology, and neurogenetics have revolutionized the study of consolidation. Providing additional support is... | Memory consolidation | 0.797356 |
92,405 | In physics, a perfect fluid is a fluid that can be completely characterized by its rest frame mass density ρ m {\displaystyle \rho _{m}} and isotropic pressure p. Real fluids are "sticky" and contain (and conduct) heat. Perfect fluids are idealized models in which these possibilities are neglected. Specifically, perfec... | Perfect fluid | 0.797356 |
92,406 | Veprintsev was released after Stalin's death and rehabilitated in 1954. He then returned to studies in biophysics and graduated in 1956 and defended a thesis on electrical impulses in the nerve endings at varying temperatures in 1961. He then joined an institute of biophysics at Puschino which he headed from 1964 worki... | Boris Veprintsev | 0.797356 |
92,407 | Environmental science is an interdisciplinary academic field that integrates physics, biology, and geography (including ecology, chemistry, plant science, zoology, mineralogy, oceanography, limnology, soil science, geology and physical geography, and atmospheric science) to the study of the environment, and the solutio... | Environmental sciences | 0.797355 |
92,408 | Diagnosis (PL: diagnoses) is the identification of the nature and cause of a certain phenomenon. Diagnosis is used in many different disciplines, with variations in the use of logic, analytics, and experience, to determine "cause and effect". In systems engineering and computer science, it is typically used to determin... | Laboratory diagnostics | 0.797355 |
92,409 | In order for asymmetric division to take place the mother cell must be polarized, and the mitotic spindle must be aligned with the axis of polarity. The cell biology of these events has been most studied in three animal models: the mouse, the nematode Caenorhabditis elegans, and the fruit fly Drosophila melanogaster. A... | Asymmetric cell division | 0.797355 |
92,410 | The total angular momentum operator is the sum of the orbital and spin and is an important quantity for multi-particle systems, especially in nuclear physics and the quantum chemistry of multi-electron atoms and molecules. We have a similar rotation matrix: | Symmetries in quantum mechanics | 0.797355 |
92,411 | Let A be a Grothendieck category (an AB5 category with a generator), G a generator of A and R be the ring of endomorphisms of G; also, let S be the functor from A to Mod-R (the category of right R-modules) defined by S(X) = Hom(G,X). Then the Gabriel–Popescu theorem states that S is full and faithful and has an exact l... | Gabriel-Popescu theorem | 0.797355 |
92,412 | The Lerner symmetry theorem is a result used in international trade theory, which states that an ad valorem import tariff (a percentage of value or an amount per unit) will have the same effects as an export tax. The theorem is based on the observation that the effect on relative prices is the same regardless of which ... | Lerner symmetry theorem | 0.797355 |
92,413 | This concludes the proof of the second theorem above. Using the second theorem, we can prove the first theorem. Since we have a ( α , β ) {\displaystyle (\alpha ,\beta )} -Occam algorithm, this means that any hypothesis output by L {\displaystyle L} can be represented by at most ( n ⋅ s i z e ( c ) ) α m β {\displaysty... | Occam learning | 0.797354 |
92,414 | (Probabilistic) contextuality may be witnessed in measurement statistics, e.g. by the violation of an inequality. A representative example is the KCBS proof of contextuality. Logical contextuality may be witnessed in the 'possibilistic' information about which outcome events are possible and which are not possible. | Quantum contextuality | 0.797354 |
92,415 | In the number theory of the twentieth century, the infinite descent method was taken up again, and pushed to a point where it connected with the main thrust of algebraic number theory and the study of L-functions. The structural result of Mordell, that the rational points on an elliptic curve E form a finitely-generate... | Infinite descent | 0.797354 |
92,416 | Initial reports suggesting a crash were confirmed by ISRO chairman K. Sivan, stating that "it must have been a hard landing". However, it contradicted initial claims from anonymous ISRO officials that the lander was intact and lying in a tilted position.Radio transmissions from the lander were tracked during descent by... | Chandrayaan-2 | 0.797353 |
92,417 | Kuhn received his bachelor's degree in physics and mathematics from Kalamazoo College in 1977, and then earned his master's and doctoral degrees in physics from Princeton University in 1979 and 1981, respectively, under the supervision of Robert Dicke. | Jeff Kuhn | 0.797353 |
92,418 | Using their newly developed master equation techniques, Walls and Carmichael derived the form of the fluorescence spectrum that agreed with previous experimental results. They went on to calculate the second-order correlation function to explore the statistics of resonance fluorescence. They were able to use the correl... | Howard Carmichael | 0.797353 |
92,419 | Artificial intelligences Androids and Gynoid Artificial life Biological robot Cyborgs Robots and humanoid robots Replicants Simulated consciousness Characters The Absent-minded professor The Golem The Mad Scientist Redshirt Space Pirate Super Soldier Clones Dinosaurs Extraterrestrial life Hypothetical types of biochemi... | Science fiction theme | 0.797353 |
92,420 | Organozinc chemistry is the study of the physical properties, synthesis, and reactions of organozinc compounds, which are organometallic compounds that contain carbon (C) to zinc (Zn) chemical bonds.Organozinc compounds were among the first organometallic compounds made. They are less reactive than many other analogous... | Organozinc chemistry | 0.797353 |
92,421 | SCI America also works with the ACS and others to support scholars in chemistry and chemical engineering. | Society of Chemical Industry (America Section) | 0.797353 |
92,422 | In most computer games, speed of the processors and gameplay are more important than accuracy of simulation. This leads to designs for physics engines that produce results in real-time but that replicate real world physics only for simple cases and typically with some approximation. More often than not, the simulation ... | Physics engine | 0.797352 |
92,423 | Both of these effects can be shown to be the consequence of mathematical convergence such as how certain kinds of data will converge towards the normal distribution under the central limit theorem. This hypothesis also provides for an alternative paradigm to explain power law manifestations that have been attributed to... | 1/f noise | 0.797352 |
92,424 | (2006). "Alpha–alpha potential up to 47.3 MeV bombarding energy". Nuclear Physics A. | Hiranmay Sen Gupta | 0.797352 |
92,425 | Electronic Notes in Theoretical Computer Science is an electronic computer science journal published by Elsevier, started in 1995. Its issues include many post-proceedings for workshops, etc. The journal is abstracted and indexed in Scopus and Science Citation Index.Electronic Notes in Theoretical Computer Science has ... | Electronic Notes in Theoretical Computer Science | 0.797352 |
92,426 | The Cantor–Bendixson theorem states that closed sets of a Polish space X have the perfect set property in a particularly strong form: any closed subset of X may be written uniquely as the disjoint union of a perfect set and a countable set. In particular, every uncountable Polish space has the perfect set property, and... | Cantor-Bendixson theorem | 0.797352 |
92,427 | He noted several early limitations in determining the tensor rank and efficient tensor rank decomposition.In the early 2000s, multilinear tensor methods crossed over into computer vision, computer graphics and machine learning with papers by Vasilescu or in collaboration with Terzopoulos, such as Human Motion Signature... | Tensor (machine learning) | 0.797352 |
92,428 | Kanak is interested in turbulent boundary layer structures and eddies generally and is additionally interested in tornadogenesis and cloud physics. She has developed three-dimensional numerical models for both Earth and Mars and collaborated in field research. Kanak was assistant field coordinator for Project VORTEX in... | Katharine Kanak | 0.797352 |
92,429 | Copy protection engineers quickly figured out what Locksmith was doing and began to use the same technique to defeat it. Locksmith countered by introducing the ability to reproduce track alignment and prevented itself from being copied by embedding a special sequence of nibbles, that if found, would stop the copy proce... | Bit nibbler | 0.797352 |
92,430 | Similar claims about the implications of Gödel's theorem were originally espoused by Turing in the late 1940s, by Gödel himself in his 1951 Gibbs lecture, by E. Nagel and J.R. Newman in 1958, and were subsequently popularized by the philosopher John Lucas of Merton College, Oxford in 1961. The inescapable conclusion se... | Penrose–Lucas argument | 0.797351 |
92,431 | Because foods are structurally complex, often a mixture of fluid and solids with varying properties within a single mass, the study of food rheology is more complicated than study in fields such as the rheology of polymers. However, food rheology is something we experience every day with our perception of food texture ... | Food Rheology | 0.797351 |
92,432 | In geometry, the rectified truncated icosahedron is a convex polyhedron. It has 92 faces: 60 isosceles triangles, 12 regular pentagons, and 20 regular hexagons. It is constructed as a rectified, truncated icosahedron, rectification truncating vertices down to mid-edges. As a near-miss Johnson solid, under icosahedral s... | Rectified truncated icosahedron | 0.797351 |
92,433 | This technique combines the above two ideas. It uses random polynomial type relations when defining the incidences between vertices, which are in some algebraic set. Using this technique to prove the following theorem. Theorem: For every s ≥ 2 {\displaystyle s\geq 2} , there exists some t {\displaystyle t} such that ex... | Forbidden subgraph problem | 0.797351 |
92,434 | Transport and Telecommunication Institute (TTI) (Latvian: Transporta un Sakaru Institūts, TSI) (Russian: Институт Транспорта и Связи, ИТС) (previously known as RCAII and Riga Aviation University) is the largest university-type accredited non-state technical higher educational and scientific establishment in Riga, the c... | Transport and Telecommunication Institute | 0.797351 |
92,435 | In the 20th century, Alan Turing advanced computer science based on mathematical biology as inspired by Descartes. His theories on reflexes also served as the foundation for advanced physiological theories, more than 200 years after his death. The physiologist Ivan Pavlov was a great admirer of Descartes. | René Descartes | 0.797351 |
92,436 | In five-dimensional geometry, a truncated 5-simplex is a convex uniform 5-polytope, being a truncation of the regular 5-simplex. There are unique 2 degrees of truncation. Vertices of the truncation 5-simplex are located as pairs on the edge of the 5-simplex. Vertices of the bitruncation 5-simplex are located on the tri... | Bitruncated 5-simplex | 0.797351 |
92,437 | In 1994 he became a member of the Digital Signal Processing (DSP) group at Philips and has led projects on the improvement of sound reproduction by exploiting DSP and psychoacoustic phenomena.In 2003 he became a Philips Fellow and extended his interests in engineering to medicine and biology, in particular sensors and ... | Ronald Aarts | 0.797351 |
92,438 | A characteristic test for arsenic involves the reaction of AsH3 with Ag+, called the Gutzeit test for arsenic. Although this test has become obsolete in analytical chemistry, the underlying reactions further illustrate the affinity of AsH3 for "soft" metal cations. In the Gutzeit test, AsH3 is generated by reduction of... | AsH₃ | 0.797351 |
92,439 | For a scheme X over a commutative ring R, an R-point of X means a section of the morphism X → Spec(R). One writes X(R) for the set of R-points of X. In examples, this definition reconstructs the old notion of the set of solutions of the defining equations of X with values in R. When R is a field k, X(k) is also called ... | Scheme theory | 0.79735 |
92,440 | Using a CNN effectively allows us to bypass the second stage of TAMER by skipping the joint parameter search. This means that we can focus on solely estimating motion parameters θ {\textstyle \theta } . Because θ {\textstyle \theta } is really a vector of multiple, independent parameters, we can parallelize our optimiz... | MRI artifact | 0.797349 |
92,441 | A hyperbolic metamaterial made from titanium nitride (metal) and aluminum scandium nitride (dielectric) have compatible crystal structures and can form a superlattice, a crystal that combines two (or more) materials. The material is compatible with existing CMOS technology (unlike traditional gold and silver), mechanic... | Plasmonic metamaterial | 0.797349 |
92,442 | In the fields of biochemistry and cell biology, the cation-dependent mannose-6-phosphate receptor (CD-MPR) also known as the 46 kDa mannose 6-phosphate receptor is a protein that in humans is encoded by the M6PR gene.The CD-MPR is one of two transmembrane proteins that bind mannose-6-phosphate (M6P) tags on acid hydrol... | Cation-dependent mannose-6-phosphate receptor | 0.797349 |
92,443 | Scholze's work has concentrated on purely local aspects of arithmetic geometry such as p-adic geometry and its applications. He presented in a more compact form some of the previous fundamental theories pioneered by Gerd Faltings, Jean-Marc Fontaine and later by Kiran Kedlaya. His PhD thesis on perfectoid spaces yields... | Peter Scholze | 0.797349 |
92,444 | Measurements were to be taken before the shots to determine a baseline, as well as during and after the events. Sounding rockets, fired from appropriate ground locations, were to carry the same instrumentation as the satellites, except for radio noise. Ground stations to be used to study effects on radio astronomy and ... | Operation Argus | 0.797348 |
92,445 | On another note, the long-standing notion "cells that fire together, wire together" derives from Hebbian theory which asserts that synaptogenesis, a developmental process with great epigenetic precedence, depends on the activity of the respective synapses within a neural network. Where experience alters the excitabilit... | Epigenetic theory | 0.797348 |
92,446 | Since Michel Chasles cited this book of Pappus in his history of geometric methods, it has become the object of considerable attention. The preface of Book VII explains the terms analysis and synthesis, and the distinction between theorem and problem. Pappus then enumerates works of Euclid, Apollonius, Aristaeus and Er... | Pappus of Alexandria | 0.797348 |
92,447 | Every simplicial complex has an associated face ring, also called its Stanley–Reisner ring. This ring reflects many of the combinatorial properties of the simplicial complex, so it is of particular interest in algebraic combinatorics. In particular, the algebraic geometry of the Stanley–Reisner ring was used to charact... | Ring axioms | 0.797348 |
92,448 | One way of achieving this is through breaking to SO(10) × U(1). The adjoint 78 representation breaks, as explained above, into an adjoint 45, spinor 16 and 16 as well as a singlet of the SO(10) subalgebra. Including the U(1) charge we have 78 → 45 0 ⊕ 16 − 3 ⊕ 16 ¯ 3 + 1 0 . | E6 (mathematics) | 0.797348 |
92,449 | Stephen H. White is an American Biophysicist, academic, and author. He is a Professor Emeritus of Physiology and Biophysics at the University of California, Irvine.White has published over 350 papers, has been cited over 30,000 times, and has a Google Scholar H-index of 84. He has focused his research on structure and ... | Stephen H. White | 0.797348 |
92,450 | In graph theory, a connected graph G is said to be k-vertex-connected (or k-connected) if it has more than k vertices and remains connected whenever fewer than k vertices are removed. The vertex-connectivity, or just connectivity, of a graph is the largest k for which the graph is k-vertex-connected. | K-vertex-connected graph | 0.797348 |
92,451 | Before the 20th century, chemistry was defined as the science of the nature of matter and its transformations. It was therefore distinct from physics which was not concerned with such dramatic transformation of matter. Moreover, in contrast to physics, chemistry remained predominantly a descriptive and empirical scienc... | History of chemistry | 0.797348 |
92,452 | For example, if the electron exists in a supersymmetric theory, then there would be a particle called a selectron (superpartner electron), a bosonic partner of the electron. In the simplest supersymmetry theories, with perfectly "unbroken" supersymmetry, each pair of superpartners would share the same mass and internal... | Supersymmetry | 0.797347 |
92,453 | Paradigm shifts tend to be most dramatic in sciences that appear to be stable and mature, as in physics at the end of the 19th century. At that time, physics seemed to be a discipline filling in the last few details of a largely worked-out system. In The Structure of Scientific Revolutions, Kuhn wrote, "Successive tran... | Theory change | 0.797347 |
92,454 | The union of any number of open sets, or infinitely many open sets, is open. The intersection of a finite number of open sets is open.A complement of an open set (relative to the space that the topology is defined on) is called a closed set. A set may be both open and closed (a clopen set). The empty set and the full s... | Open subsets | 0.797347 |
92,455 | Steiner's problem asks to find the global maximum for the function This maximum occurs precisely at x = e. (One can check that the derivative of ln f(x) is zero only for this value of x.) Similarly, x = 1/e is where the global minimum occurs for the function The infinite tetration x x x ⋅ ⋅ ⋅ {\displaystyle x^{x^{x^{\c... | Euler’s number | 0.797347 |
92,456 | : 2 A 2017 paper lists the benefits of open data and models and the reasons that many projects nonetheless remain closed. The paper makes a number of recommendations for projects wishing to transition to a more open approach. The authors also conclude that, in terms of openness, energy research has lagged behind other ... | Open Energy Modelling Initiative | 0.797347 |
92,457 | The relative abundance of each isotopologue (e.g. mass-47 CO2) is proportional to the relative abundance of each isotopic species. 47R/44R = (2×+2×+)/()This predicted abundance assumes a non-biased stochastic distribution of isotopes, natural materials tend to deviate from these stochastic values, the study of which fo... | Carbonate clumped-isotope | 0.797346 |
92,458 | A statistical ensemble in quantum mechanics is represented by a density matrix, denoted by ρ ^ {\displaystyle {\hat {\rho }}} . The grand canonical ensemble is the density matrix ρ ^ = exp ( 1 k T ( Ω + μ 1 N ^ 1 + … + μ s N ^ s − H ^ ) ) , {\displaystyle {\hat {\rho }}=\exp {\big (}{\tfrac {1}{kT}}(\Omega +\mu _{1}{... | Grand canonical ensemble | 0.797346 |
92,459 | Clarke was appointed a Wellcome Trust Senior Research Fellow in 2001, a Professor of Molecular Biophysics in 2009 and a Fellow of Trinity Hall, Cambridge, in 2010. On 1 October 2017, she became the President of Wolfson College, Cambridge.Clarke's research investigates protein folding, in particular: Studies of structur... | Jane Clarke (scientist) | 0.797346 |
92,460 | In chemistry, delta bonds (δ bonds) are covalent chemical bonds, where four lobes of one involved atomic orbital overlap four lobes of the other involved atomic orbital. This overlap leads to the formation of a bonding molecular orbital with two nodal planes which contain the internuclear axis and go through both atoms... | Delta bond | 0.797346 |
92,461 | Analysis Situs (PDF), archived (PDF) from the original on 27 March 2012. The first systematic study of topology.On celestial mechanics: 1890. Poincaré, Henri (2017). | Henri Poincaré | 0.797346 |
92,462 | In addition to the general advantages of the chemistry, zinc–bromine flow batteries have two significant advantages: They are scalable to large storage capacity through larger tanks and stacks. Individual parts can be serviced or replaced – for example the pump, tanks, or electrolyte.Flow batteries also have specific d... | Zinc-bromine flow battery | 0.797346 |
92,463 | Fluorescence cross-correlation spectroscopy (FCCS) has several applications in the field of biophysics and biochemistry. Fluorescence cross-correlation spectroscopy (FCCS) is a powerful technique that enables the investigation of interactions between various types of biomolecules, including proteins, nucleic acids, and... | Fluorescence cross-correlation spectroscopy | 0.797346 |
92,464 | It also announced a number of other technologies waiting for commercialization, including an affordable solid-state Lidar based on silicon photomultiplier, high-capacity hydrogen fuel cells, and a proprietary computer algorithm named Simulated Bifurcation Algorithm that mimics quantum computing, of which it plans to se... | Lightspeed Esper | 0.797345 |
92,465 | This explanation was accepted by E.B. Ford and incorporated into his accounts of ecological genetics.This process might involve suppression of crossing-over, translocation of chromosome fragments and possibly occasional cistron duplication. That crossing-over can be suppressed by selection has been known for many years... | Gene complexes | 0.797345 |
92,466 | In mathematics, a finite von Neumann algebra is a von Neumann algebra in which every isometry is a unitary. In other words, for an operator V in a finite von Neumann algebra if V ∗ V = I {\displaystyle V^{*}V=I} , then V V ∗ = I {\displaystyle VV^{*}=I} . In terms of the comparison theory of projections, the identity o... | Finite von Neumann algebra | 0.797345 |
92,467 | Any reaction in the domain of photogeochemistry, either observed in the environment or studied in the laboratory, may be broadly classified according to the nature of the materials involved. Reactions among naturally occurring compounds. Photogeochemistry, both observational and exploratory, is concerned with reactions... | Photogeochemistry | 0.797345 |
92,468 | Key technology used by all teams was computer vision, sensor fusion, human-robot interaction, and simultaneous localization and mapping (SLAM). Team Michigan, a collaboration between the University of Michigan's APRIL Lab and Soar Technology, Inc., had the largest fleet of 14 robots, developed their own Inertial Measur... | Multi Autonomous Ground-robotic International Challenge | 0.797345 |
92,469 | He is a fellow of both the Association for Computing Machinery (ACM) and of the Institute of Electrical and Electronics Engineers (IEEE).From 1982 through 1988 he was chair of the Department of Computer Science at the University of Maryland. He is currently a senior research fellow at the Fraunhofer Center for Experime... | Victor Basili | 0.797344 |
92,470 | The magnetostrictive power scaler vibration is elliptical, activating all sides of the tip, whereas the piezoelectric vibration is linear and is more active on the two sides of the tip.Special tips for ultrasonic scalers are designed to address different areas of the mouth and varying amounts of calculus buildup. Large... | Dental calculus | 0.797344 |
92,471 | Wick rotations can be seen as a useful trick that works due to the similarity between the equations of two seemingly distinct fields of physics. Quantum Field Theory in a Nutshell by Anthony Zee discusses Wick rotations, saying that It has been proven that a more rigorous link between Euclidean and quantum field theory... | Wick rotate | 0.797343 |
92,472 | In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century, that organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells. Cells are the basic unit of structure in all organisms and also th... | Cell Theory | 0.797343 |
92,473 | Genoeconomics is an interdisciplinary field of protoscience that combines molecular genetics and economics.Genoeconomics is based on the idea that economic indicators have a genetic basis — that a person's financial behaviour can be traced to their DNA and that genes are related to economic behaviour. As of 2015, the r... | Genoeconomics | 0.797343 |
92,474 | The apparent thermal advantage has contributed to the expansion of the eastern gray squirrel's range northward following the end of the last glacial period. Black morph eastern gray squirrels have been reported as far north as Sudbury, Ontario, past the traditional range of the eastern gray squirrels.A study published ... | Black squirrel | 0.797343 |
92,475 | In condensed matter and atomic physics, Van Vleck paramagnetism refers to a positive and temperature-independent contribution to the magnetic susceptibility of a material, derived from second order corrections to the Zeeman interaction. The quantum mechanical theory was developed by John Hasbrouck Van Vleck between the... | Van Vleck paramagnetism | 0.797342 |
92,476 | Thus, the TP model transformation can be viewed as a numerical method to compute the HOSVD of functions, which provides exact results if the given function has a TP function structure and approximative results otherwise. The TP model transformation has recently been extended in order to derive various types of convex T... | TP model transformation | 0.797342 |
92,477 | The Cheeger constant (also Cheeger number or isoperimetric number) of a graph is a numerical measure of whether or not a graph has a "bottleneck". The Cheeger constant as a measure of "bottleneckedness" is of great interest in many areas: for example, constructing well-connected networks of computers, card shuffling, a... | Graph spectrum | 0.797342 |
92,478 | In Riemannian geometry, it is a traditional name for a number of theorems that compare various metrics and provide various estimates in Riemannian geometry. Rauch comparison theorem relates the sectional curvature of a Riemannian manifold to the rate at which its geodesics spread apart. Toponogov's theorem Myers's theo... | Comparison theorem | 0.797342 |
92,479 | B.S. in physics, 1973, Duke University, N.C. M.S. in computer graphics, 1981, Cornell University, Ithaca, N.Y. | Robert L. Cook | 0.797342 |
92,480 | The theorem then follows from the lemma. Theorem (Alphonse Antonio de Sarasa 1649) As area measured against the asymptote increases in arithmetic progression, the projections upon the asymptote increase in geometric sequence. | Squeeze mapping | 0.797342 |
92,481 | The utter simplicity of this argument, which so powerfully produces a very interesting conclusion, is what makes the theorem appealing. In 1930, in a paper entitled 'On a Problem of Formal Logic,' Frank P. Ramsey proved a very general theorem (now known as Ramsey's theorem) of which this theorem is a simple case. This ... | Theorem on friends and strangers | 0.797342 |
92,482 | The Madelung equations are derived by writing the wavefunction in polar form: and substituting this form into the Schrödinger equation The flow velocity is defined by from which we also find that where j {\displaystyle \mathbf {j} } is the probability current of standard quantum mechanics. The quantum force, which is t... | Madelung equations | 0.797342 |
92,483 | The Michael and Kate Bárány Award for Young Investigators from the Biophysical Society in Rockville, Maryland, "recognizes an outstanding contribution to biophysics by a person who has not achieved the rank of full professor." The award was established in 1992 as the Young Investigator Award and renamed in 1998, when i... | Michael and Kate Bárány Award | 0.797341 |
92,484 | However, a proof of such a theorem is still lacking.In the heavy tail regions, the distribution is equivalent to the Student's t-distribution with a direct mapping between q and the degrees of freedom. A practitioner using one of these distributions can therefore parameterize the same distribution in two different ways... | Q-Gaussian distribution | 0.797341 |
92,485 | The state of the art instrumentation facilities at CCMB is open for users outside the institute at reasonable costs. It is attempting to develop affordable techniques for lab-grown meat. It has been instrumental in the fight of COVID-19 in India. It is one of the testing centres for patient samples in Telangana. It als... | Centre for Cellular and Molecular Biology | 0.797341 |
92,486 | In chemistry, a supramolecular assembly is a complex of molecules held together by noncovalent bonds. While a supramolecular assembly can be simply composed of two molecules (e.g., a DNA double helix or an inclusion compound), or a defined number of stoichiometrically interacting molecules within a quaternary complex, ... | Supramolecular assembly | 0.797341 |
92,487 | A JB algebra is a Jordan Banach algebra satisfying ‖ a 2 ‖ = ‖ a ‖ 2 , ‖ a 2 ‖ ≤ ‖ a 2 + b 2 ‖ . {\displaystyle \displaystyle {\|a^{2}\|=\|a\|^{2},\,\,\,\|a^{2}\|\leq \|a^{2}+b^{2}\|.}} | Jordan operator algebra | 0.79734 |
92,488 | Special relativity is a theory of the structure of spacetime. It was introduced in Einstein's 1905 paper "On the Electrodynamics of Moving Bodies" (for the contributions of many other physicists and mathematicians, see History of special relativity). Special relativity is based on two postulates which are contradictory... | Theory of Relativity | 0.79734 |
92,489 | In category theory, a category is Cartesian closed if, roughly speaking, any morphism defined on a product of two objects can be naturally identified with a morphism defined on one of the factors. These categories are particularly important in mathematical logic and the theory of programming, in that their internal lan... | Locally cartesian closed category | 0.79734 |
92,490 | Therefore, the chances of lateral displacement decrease with decreasing ductility of country rocks.Plutons can be categorised into two types depending on the geometry of the pluton floor. They are called wedged-shape plutons and tablet-shaped plutons. Wedge-shaped plutons typically have irregular shapes. | Volcanic and igneous plumbing systems | 0.79734 |
92,491 | An ongoing task is to develop the correct dynamics for causal sets. These would provide a set of rules that determine which causal sets correspond to physically realistic spacetimes. The most popular approach to developing causal set dynamics is based on the sum-over-histories version of quantum mechanics. This approac... | Causal set | 0.797339 |
92,492 | A native of Northern Italy, Rita attended the Liceo Classico A. Manzoni in Lecco, graduating with full marks. Her Laurea degree in Physics is from the Universitá degli Studi di Milano (University of Milan). She received a MPhil and a PhD in Astrophysics from the International School for Advanced Studies (SISSA) with a ... | Rita M. Sambruna | 0.797339 |
92,493 | Local class field theory gives a description of the Galois group G of the maximal abelian extension of a local field K via the reciprocity map which acts from the multiplicative group K×=K\{0}. For a finite abelian extension L of K the reciprocity map induces an isomorphism of the quotient group K×/N(L×) of K× by the n... | Local class field theory | 0.797338 |
92,494 | The Lustre architecture uses CPU and GPU optimizations to obtain realtime playback on high resolution files, as required for digital cinema color grading. The original control surface was the Tangent Devices CP100. Later Autodesk developed the Autodesk Control Surface manufactured by Tangent Devices. Since version 2012... | Autodesk Lustre | 0.797338 |
92,495 | In popular culture, forensic biology is frequently portrayed in shows like Law & Order, Hannibal, Bones, CSI, Dexter and Castle. However thanks to Hollywood's depiction of forensic science, the analysis of biological evidence has fallen prey to the CSI Effect, which results in the public's perception of its capabilitie... | Forensic biology | 0.797338 |
92,496 | The XY model is a two-dimensional vector spin model that possesses U(1) or circular symmetry. This system is not expected to possess a normal second-order phase transition. This is because the expected ordered phase of the system is destroyed by transverse fluctuations, i.e. the Nambu-Goldstone modes associated with th... | Kosterlitz-Thouless transition | 0.797338 |
92,497 | In the mathematical field of analysis, the Nash–Moser theorem, discovered by mathematician John Forbes Nash and named for him and Jürgen Moser, is a generalization of the inverse function theorem on Banach spaces to settings when the required solution mapping for the linearized problem is not bounded. | Graded Fréchet space | 0.797338 |
92,498 | The Steiner construction defines the conics in a planar linear incidence geometry (two points determine at most one line and two lines intersect in at most one point) intrinsically, that is, using only the collineation group. Specifically, E ( T , P ) {\displaystyle E(T,P)} is the conic at point P {\displaystyle P} aff... | Steiner's theorem (geometry) | 0.797337 |
92,499 | A tensor algebra comes with a tensor product (the internal one); it can also be equipped with a second tensor product, the "external" one, or the coproduct, having the form above. That they are two different products is emphasized by recalling that the internal tensor product of a vector and a scalar is just simple sca... | Coalgebra | 0.797337 |
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