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81,200 | The affine plane over a field k is the direct product A 2 = L x × L y {\displaystyle A_{2}=L_{x}\times L_{y}} of two copies of k. Let π: L x × L y → L x {\displaystyle \pi \colon L_{x}\times L_{y}\to L_{x}} be the projection ( x , y ) ↦ π ( x , y ) = x . {\displaystyle (x,y)\mapsto \pi (x,y)=x.} This projection is not ... | Main theorem of elimination theory | 0.799691 |
81,201 | The EM algorithm consists of two steps. First, in the E-step or estimation step, it guesses the values of parameters ("old" parameter values) and then uses Bayes' theorem to compute the posterior probability distributions P old ( i , s j ) {\displaystyle P^{\text{old}}(i,s_{j})} of mixture components. Second, in the M-... | Point set registration | 0.799691 |
81,202 | Suppose s, t, w, z ∈ C so that (s, t) and (w, z) are in C2. Then the outer product of these complex 2-vectors is an element of M(2, C), the 2 × 2 complex matrices: The determinant of this matrix is swtz − sztw = 0 because of the commutative property of C. In the theory of spinors in three dimensions, these matrices are... | Outer product | 0.799691 |
81,203 | The UniProt consortium comprises the European Bioinformatics Institute (EBI), the Swiss Institute of Bioinformatics (SIB), and the Protein Information Resource (PIR). EBI, located at the Wellcome Trust Genome Campus in Hinxton, UK, hosts a large resource of bioinformatics databases and services. SIB, located in Geneva,... | UniProt | 0.799691 |
81,204 | Cellular compartments in cell biology comprise all of the closed parts within the cytosol of a eukaryotic cell, usually surrounded by a single or double lipid layer membrane. These compartments are often, but not always, defined as membrane-bound organelles. The formation of cellular compartments is called compartmenta... | Cellular compartment | 0.799691 |
81,205 | The overtaking criterion is used in economic growth theory.It is also used in repeated games theory, as an alternative to the limit-of-means criterion and the discounted-sum criterion. See Folk theorem (game theory)#Overtaking. | Overtaking criterion | 0.799691 |
81,206 | In 1985 Spivak received the Leroy P. Steele Prize. Spivak lectured on elementary physics. Spivak's book, Physics for Mathematicians: Mechanics I (published December 6, 2010), contains the material that these lectures stemmed from and more. Spivak was also the designer of the MathTime Professional 2 fonts (which are wid... | Michael Spivak | 0.799691 |
81,207 | The French mathematician Henri Poincaré was among the first to articulate a conventionalist view. Poincaré's use of non-Euclidean geometries in his work on differential equations convinced him that Euclidean geometry should not be regarded as a priori truth. He held that axioms in geometry should be chosen for the resu... | Philosophy of mathematics | 0.799691 |
81,208 | There are many types of intelligent life: nearbaselines (enhanced humans), posthumans, cyborgs, vecs (intelligent robots; named for Hans Moravec), aioids (intelligent computers), uploads (intelligences transferred into computers), neumanns (self-replicating robots; named for John von Neumann), provolves (animals with e... | Orion's Arm | 0.79969 |
81,209 | Critical Reviews in Biotechnology is an academic journal that publishes comprehensive review articles that organize, evaluate and present the current status of issues in biotechnology. | Critical Reviews in Biotechnology | 0.79969 |
81,210 | Goethe's reification of darkness is rejected by modern physics. Both Newton and Huygens defined darkness as an absence of light. Young and Fresnel showed that Huygens' wave theory (in his Treatise on Light) could explain that colour is the visible manifestation of light's wavelength. Physicists today attribute both a c... | Theory of Colors | 0.79969 |
81,211 | The restriction of the divisors in the convolution to unitary, bi-unitary or infinitary divisors defines similar commutative operations which share many features with the Dirichlet convolution (existence of a Möbius inversion, persistence of multiplicativity, definitions of totients, Euler-type product formulas over as... | Dirichlet inverse | 0.79969 |
81,212 | In quantum physics, one is often interested in projective unitary representations of a Lie group G {\displaystyle G} . The reason for this interest is that states of a quantum system are represented by vectors in a Hilbert space H {\displaystyle \mathbf {H} } —but with the understanding that two states differing by a c... | Representation of a Lie group | 0.79969 |
81,213 | In the period 1946–49 he was the head of the hydromechanics laboratory, and from 1950 until 1957 he was head of the structural mechanics laboratory. From 1957 until his retirement in 1960 he was a general scientific consultant to the commanding officer of the DTMB. Also after his retirement he continued to work for the... | Earle Hesse Kennard | 0.79969 |
81,214 | The conformal group for the Minkowski quadratic form q(x, y) = 2xy in the plane is the abelian Lie group CSO ( 1 , 1 ) = { ( e a 0 0 e b ) | a , b ∈ R } , {\displaystyle \operatorname {CSO} (1,1)=\left\{\left. {\begin{pmatrix}e^{a}&0\\0&e^{b}\end{pmatrix}}\right|a,b\in \mathbb {R} \right\},} with Lie algebra cso(1, 1... | Conformal space | 0.79969 |
81,215 | From the Peter–Weyl theorem, one can deduce a significant general structure theorem. Let G be a compact topological group, which we assume Hausdorff. For any finite-dimensional G-invariant subspace V in L2(G), where G acts on the left, we consider the image of G in GL(V). It is closed, since G is compact, and a subgrou... | Peter–Weyl theorem | 0.79969 |
81,216 | In geometry, biology, mineralogy and solid state physics, a unit cell is a repeating unit formed by the vectors spanning the points of a lattice. Despite its suggestive name, the unit cell (unlike a unit vector, for example) does not necessarily have unit size, or even a particular size at all. Rather, the primitive ce... | Unit Cell | 0.799689 |
81,217 | And because each tile is independent, it naturally lends itself to simple parallelization. In a typical tiled renderer, geometry must first be transformed into screen space and assigned to screen-space tiles. This requires some storage for the lists of geometry for each tile. | Tile based deferred rendering | 0.799689 |
81,218 | The above-mentioned field of rational fractions E(X), where X is an indeterminate, is not an algebraic extension of E since there is no polynomial equation with coefficients in E whose zero is X. Elements, such as X, which are not algebraic are called transcendental. Informally speaking, the indeterminate X and its pow... | Field axioms | 0.799689 |
81,219 | After completing her PhD, Dayhoff studied electrochemistry under Duncan A. MacInnes at the Rockefeller Institute from 1948 to 1951. In 1952, she moved to Maryland with her family and later received research fellowships from the University of Maryland (1957–1959), working on a model of chemical bonding with Ellis Lippin... | Margaret Oakley Dayhoff | 0.799689 |
81,220 | Ultimately periodic sequences, sequences that become periodic after an initial finite bout of lawlessness. They constitute a proper extension of Example 5 (meaning that Example 5 is a proper subalgebra of Example 7) and also of Example 4, since constant sequences are periodic with period one. Sequences may vary as to w... | Power set algebra | 0.799689 |
81,221 | Roth has made several fundamental contributions to the theory of matching. Prominent examples include: The core of housing market coincides with the unique competitive allocation: Roth and Postlewaite have shown that in markets with indivisible goods and private endowments ("housing markets") the core coincides with th... | Alvin E. Roth | 0.799688 |
81,222 | Causes of death vary greatly between developed and less developed countries; see also list of causes of death by rate for worldwide statistics. | Mortality rate | 0.799688 |
81,223 | The cellular algebras discussed in this article were introduced in a 1996 paper of Graham and Lehrer. However, the terminology had previously been used by Weisfeiler and Lehman in the Soviet Union in the 1960s, to describe what are also known as coherent algebras. | Cellular algebra | 0.799688 |
81,224 | While it is true (via Galilean relativity) that a head-on crash between two vehicles traveling at 50 mph is equivalent to a moving vehicle running into a stationary one at 100 mph, it is clear from basic Newtonian Physics that if the stationary vehicle is replaced with a solid wall or other stationary near-immovable ob... | Head-on collision | 0.799688 |
81,225 | The original proof of the sphere theorem did not conclude that M was necessarily diffeomorphic to the n-sphere. This complication is because spheres in higher dimensions admit smooth structures that are not diffeomorphic. (For more information, see the article on exotic spheres.) | Differentiable sphere theorem | 0.799687 |
81,226 | In order to model this type of geometry we divide the flow region into various smaller sub domains. All these regions are meshed separately and joined up correctly with the neighbors. This type of arrangement is known as Block Structured Grid. | Grid classification | 0.799685 |
81,227 | Boltzmann's kinetic theory of gases was one of the first attempts to explain macroscopic properties, such as pressure and temperature, in terms of the behavior of individual atoms and molecules. Although many chemists were already accepting the existence of atoms and molecules, the broader physics community took some t... | Ludwig Boltzmann | 0.799685 |
81,228 | Calculus is detrimental to gingival health because it serves as a trap for increased plaque formation and retention; thus, calculus, along with other factors that cause a localized build-up of plaque, is referred to as a secondary aetiology of periodontitis. When plaque is supragingival, the bacterial content contains ... | Dental tartar | 0.799685 |
81,229 | Theorem. Every distributive (∨,0)-semilattice of cardinality at most ℵ1 is isomorphic to (1) Conc L, for some locally finite, relatively complemented modular lattice L (Tůma 1998 and Grätzer, Lakser, and Wehrung 2000). (2) The semilattice of finitely generated two-sided ideals of some (not necessarily unital) von Neuma... | Congruence lattice problem | 0.799685 |
81,230 | The chromatic number of the plane, where two points are adjacent if they have unit distance, is unknown, although it is one of 5, 6, or 7. Other open problems concerning the chromatic number of graphs include the Hadwiger conjecture stating that every graph with chromatic number k has a complete graph on k vertices as ... | Colored graph | 0.799685 |
81,231 | Henry Darcy was a French scientist who made advances in flow of fluids through porous materials. He conducted experiments which studied the movement of fluids through sand columns. These experiments led to the determination of Darcy's law, which describes fluid flow through a medium with high levels of porosity. Darcy'... | Hydrogeology | 0.799685 |
81,232 | Loss of the geometry precision in areas with extreme curvature, i.e., corners, edges is one of the main issues encountered. Furthermore, pretreatment of information, by applying some kind of filtering technique, also affects the definition of the corners by softening them. There are several studies related to post-proc... | Optical 3D measuring | 0.799685 |
81,233 | The Tufts Center for the Study of Drug Development is an independent, academic, non-profit research center at Tufts University in Boston, dedicated to researching drug development. It was established in 1976 by American physician Louis Lasagna. The Center develops and publishes information to help researchers, regulato... | Tufts Center for the Study of Drug Development | 0.799684 |
81,234 | Gomatam’s own field of research is foundations of quantum mechanics, wherein he is introducing a few new ideas, including those of "Objective, Semantic Information" and a notion of "Relational Properties" that is different from that of Rovelli and others. His new ideas have received notice for their potential. He has r... | Ravi Gomatam | 0.799684 |
81,235 | It follows that for any rotation, the set of stable matchings that can be the higher of a pair connected by the rotation has a unique lowest element. This lowest matching is join irreducible, and this gives a one-to-one correspondence between rotations and join-irreducible stable matchings.If the rotations are given th... | Lattice of stable matchings | 0.799684 |
81,236 | A bordered Hessian is used for the second-derivative test in certain constrained optimization problems. Given the function f {\displaystyle f} considered previously, but adding a constraint function g {\displaystyle g} such that g ( x ) = c , {\displaystyle g(\mathbf {x} )=c,} the bordered Hessian is the Hessian of the... | Non-degenerate critical point | 0.799683 |
81,237 | Notable open source implementations include: ALGLIB implements L-BFGS in C++ and C# as well as a separate box/linearly constrained version, BLEIC. R's optim general-purpose optimizer routine uses the L-BFGS-B method. SciPy's optimization module's minimize method also includes an option to use L-BFGS-B.Notable non open ... | Orthant-wise limited-memory quasi-Newton | 0.799682 |
81,238 | A 2001 analysis of 70,000,000 birth records from the National Center for Health Statistics revealed no correlation between birth rate and lunar phase. An extensive review of 21 studies from seven different countries showed that the majority of studies reported no relationship to lunar phase, and that the positive studi... | Lunar effect | 0.799682 |
81,239 | Advanced Simulation Library (ASL) is free and open-source hardware-accelerated multiphysics simulation platform. It enables users to write customized numerical solvers in C++ and deploy them on a variety of massively parallel architectures, ranging from inexpensive FPGAs, DSPs and GPUs up to heterogeneous clusters and ... | Advanced Simulation Library | 0.799682 |
81,240 | Scope 3 covers other indirect emissions, including those from general suppliers.There are a number of challenges in creating accurate accounts of greenhouse gas emissions. Scope 3 emissions, in particular, can be difficult to estimate. In project accounting, additionality and double counting issues can affect the credi... | Carbon accounting | 0.799682 |
81,241 | Publishers are loosely coupled to subscribers, and need not even know of their existence. With the topic being the focus, publishers and subscribers are allowed to remain ignorant of system topology. Each can continue to operate as per normal independently of the other. In the traditional tightly coupled client–server ... | Publish–subscribe pattern | 0.799682 |
81,242 | The implicit function theorem guarantees within a neighborhood of a point ( x 0 , y 0 ) {\displaystyle (x_{0},y_{0})} the existence of a function f {\displaystyle f} such that F ( x , f ( x ) ) = 0 {\displaystyle F(x,f(x))=0} . By the chain rule, the derivatives of function f {\displaystyle f} are f ′ ( x ) = − F x ( x... | Implicit curve | 0.799681 |
81,243 | In mathematics, the Tutte homotopy theorem, introduced by Tutte (1958), generalises the concept of "path" from graphs to matroids, and states roughly that closed paths can be written as compositions of elementary closed paths, so that in some sense they are homotopic to the trivial closed path. | Tutte homotopy theorem | 0.799681 |
81,244 | The switchgear on the low-voltage side of the transformers may be located in a building, with medium-voltage circuit breakers for distribution circuits, along with metering, control, and protection equipment. For industrial applications, a transformer and switchgear line-up may be combined in one housing, called a unit... | Gas-insulated switchgear | 0.799681 |
81,245 | Natal Jorge), Computer Methods in Biomechanics and Biomedical Engineering, 8, pp. 339 – 347, 2005. “On the (in)stability of quasi-static paths of smooth systems: definitions and sufficient conditions” (with N.V. | João Arménio Correia Martins | 0.79968 |
81,246 | 1, Chapter 8, Theorem 1.13, p. 300. | Convergence of Fourier series | 0.79968 |
81,247 | Selection; A process that preferentially selects one trait over another trait, leading to one trait being more numerous after sufficient generations. Variation; differences in heritable traits that affect "Fitness" or the ability to survive and reproduce leading to differential survival.Quantum Darwinism appears to con... | Quantum Darwinism | 0.79968 |
81,248 | Jose Luis Mateos Trigos (born 13 July 1961) is a theoretical physicist working at the National Autonomous University of Mexico (UNAM), doing research on Complex Systems, Network Science and Statistical Physics. | Jose Luis Mateos | 0.79968 |
81,249 | For a proof, see Proposition 5 of Part I, Chapter 1 of.Proposition If A is a *-algebra of bounded linear operators in H and 1 belongs to A then Ω is cyclic for A if and only if it is separating for the commutant A′. A special case occurs when A is a von Neumann algebra. Then a vector Ω which is cyclic and separating fo... | Cyclic and separating vector | 0.799679 |
81,250 | Often, some other objectives have to be attained besides fairness. For example, when assigning tasks to agents, it is required both to avoid envy, and to minimize the makespan (- the completion time of the last agent). Mu'alem presents a general framework for optimization problems with envy-freeness guarantee that natu... | Fair allocation of items and money | 0.799679 |
81,251 | Thales' theorem states that if A is any point of the circle with diameter BC (except B or C themselves) ABC is a right triangle where A is the right angle. The converse states that if a right triangle is inscribed in a circle then the hypotenuse will be a diameter of the circle. A corollary is that the length of the hy... | Right angled triangle | 0.799679 |
81,252 | Pamela McCorduck writes that the Logic Theorist was "proof positive that a machine could perform tasks heretofore considered intelligent, creative and uniquely human". And, as such, it represents a milestone in the development of artificial intelligence and our understanding of intelligence in general. Simon told a gra... | Logic Theorist | 0.799679 |
81,253 | CADPAC, the Cambridge Analytic Derivatives Package, is a suite of programs for ab initio computational chemistry calculations. It has been developed by R. D. Amos with contributions from I. L. Alberts, J. S. Andrews, S. M. Colwell, N. C. Handy, D. Jayatilaka, P. J. Knowles, R. Kobayashi, K. E. Laidig, G. Laming, A. M. ... | CADPAC | 0.799679 |
81,254 | Applications currently under study at the QCC include big data analysis, verification and validation of cyber-physical systems, pattern identification and classification, and optimization and machine learning, any of which may support breakthroughs in multiple industries and government.USC and ISI researchers, as well ... | USC-Lockheed Martin Quantum Computing Center | 0.799679 |
81,255 | Several protocols for doing this have been suggested, the first by Adi Shamir, Ron Rivest and Len Adleman (the creators of the RSA-encryption protocol). This protocol was the first example of two parties conducting secure computation rather than secure message transmission, employing cryptography; later on due to leaki... | Mental poker | 0.799678 |
81,256 | The Giant Metrewave Radio Telescope (GMRT), located near Narayangaon, Pune in India, is an array of thirty fully steerable parabolic radio telescopes of 45 metre diameter, observing at metre wavelengths. It is the largest and most sensitive radio telescope array in the world at low frequencies. It is operated by the Na... | Upgraded Giant Metrewave Radio Telescope | 0.799678 |
81,257 | The btb library, dedicated to urban analysis, implements kernel density estimation through kernel_smoothing. In SAS, proc kde can be used to estimate univariate and bivariate kernel densities. In Apache Spark, the KernelDensity() class In Stata, it is implemented through kdensity; for example histogram x, kdensity. Alt... | Kernel density estimation | 0.799678 |
81,258 | A proposed scientific use of preserved genetic material found in remains of woolly mammoths is to recreate living mammoths. This has long been discussed theoretically, but was only recently the subject of formal effort due to advances in molecular biology techniques and cloning of mammals. Cloning of mammals has improv... | Revival of the woolly mammoth | 0.799677 |
81,259 | Scientific theories are often deemed successful when they make predictions that are confirmed by experiment. For example, calculations regarding the Big Bang predicted the cosmic microwave background and the relative abundances of chemical elements in deep space (see Big Bang nucleosynthesis), and observations have bor... | Success | 0.799677 |
81,260 | These include changes in the skills required of workers, increased monitoring leading to micromanagement, algorithms unintentionally or intentionally mimicking undesirable human biases, and assigning blame for machine errors to the human operator instead. AI may also lead to physical hazards in the form of human–robot ... | Workplace impact of artificial intelligence | 0.799677 |
81,261 | The simplex graph is the median graph corresponding to this median algebra structure. When G is the complement graph of a bipartite graph, the cliques of G can be given a stronger structure as a distributive lattice, and in this case the simplex graph is the graph of the lattice. As is true for median graphs more gener... | Simplex graph | 0.799676 |
81,262 | In 2014 The Presidential Portrait by USC ICT in conjunction with the Smithsonian Institution was made using the latest USC mobile light stage wherein President Barack Obama had his geometry, textures and reflectance captured.In 2014 Ian Goodfellow et al. presented the principles of a generative adversarial network. GAN... | Human image synthesis | 0.799676 |
81,263 | In 1948–1949 he published 29 papers. From 1945 to 1950 and again from 1955 to 1959 Zachariasen was the chair of the physics department at the University of Chicago. In 1963 Zachariasen examined a well-known discrepancy between the calculated and measured intensities of diffraction X-ray beams by making careful measurem... | William Houlder Zachariasen | 0.799676 |
81,264 | Drexler (1986), one of the founders of nanotechnology, postulates cell repair devices, including ones operating within cells and using as yet hypothetical biological machines. According to Richard Feynman, it was his former graduate student and collaborator Albert Hibbs who originally suggested to him (circa 1959) the ... | Technological Singularity | 0.799676 |
81,265 | The supraoptic nucleus is an important "model system" in neuroscience. There are many reasons for this: Some technical advantages of working on the supraoptic nucleus are that the cell bodies are relatively large, the cells make exceptionally large amounts of their secretory products, and the nucleus is relatively homo... | Supraoptic nucleus | 0.799676 |
81,266 | EPITECH has partnered with the Zup de Co association to create the Web@cademie, a 2-year training completely free for students without the French Baccalaureate and with a strong motivation in computer science. This course has the goal to attain a job of software developer for young people who have stopped their regular... | Epitech | 0.799675 |
81,267 | Förster resonance energy transfer (FRET), fluorescence resonance energy transfer, resonance energy transfer (RET) or electronic energy transfer (EET) is a mechanism describing energy transfer between two light-sensitive molecules (chromophores). A donor chromophore, initially in its electronic excited state, may transf... | Bioluminescence resonance energy transfer | 0.799675 |
81,268 | Microsoft SQL Server also allows user-defined composite types (UDTs) to be defined and used. It also makes server statistics available as virtual tables and views (called Dynamic Management Views or DMVs). In addition to tables, a database can also contain other objects including views, stored procedures, indexes and c... | MS SQL | 0.799675 |
81,269 | Proofs from THE BOOK is a book of mathematical proofs by Martin Aigner and Günter M. Ziegler. The book is dedicated to the mathematician Paul Erdős, who often referred to "The Book" in which God keeps the most elegant proof of each mathematical theorem. During a lecture in 1985, Erdős said, "You don't have to believe i... | Proofs from THE BOOK | 0.799675 |
81,270 | For the sum of squares of consecutive integers, see Square pyramidal number For representing an integer as a sum of squares of 4 integers, see Lagrange's four-square theorem Legendre's three-square theorem states which numbers can be expressed as the sum of three squares Jacobi's four-square theorem gives the number of... | Sum of squares | 0.799675 |
81,271 | In the design of experiments, optimal designs (or optimum designs) are a class of experimental designs that are optimal with respect to some statistical criterion. The creation of this field of statistics has been credited to Danish statistician Kirstine Smith.In the design of experiments for estimating statistical mod... | Optimal design of experiments | 0.799675 |
81,272 | & B.Sc, in electrical engineering (1983). He was a research assistant at MIT and industrial co-op student of IBM. From 1982 he was at the Bell Laboratories hired in 1993 as a distinguished member of the technical staff. | Gabriel Aeppli | 0.799675 |
81,273 | Linear Ill-Posed Problems are Solvable on the Average for All Gaussian Measures, Math Intelligencer 16, 1994, 42–48 (with A. G. Werschulz). Faster Evaluation of Financial Derivatives, Journal of Portfolio Management 22, 1995, 113–120 (with S. Paskov). A Continuous Model of Computation, Physics Today, May, 1999, 39–43. | Joseph F. Traub | 0.799675 |
81,274 | These model ecological processes that can be described as occurring over discrete time steps. Matrix algebra is often used to investigate the evolution of age-structured or stage-structured populations. The Leslie matrix, for example, mathematically represents the discrete time change of an age structured population.Mo... | Ecological theory | 0.799675 |
81,275 | The Electronic Visualization Laboratory (EVL) is an interdisciplinary research lab and graduate studies program at the University of Illinois at Chicago, bringing together faculty, students and staff primarily from the Art and Computer Science departments of UIC. The primary areas of research are in computer graphics, ... | Electronic Visualization Laboratory | 0.799675 |
81,276 | James Kay held a BS in physics from McGill University and a Ph.D. in systems design engineering from the University of Waterloo. His Ph.D. | James J. Kay | 0.799675 |
81,277 | The research areas of Jiaya Jia are computer vision, machine learning, and computational imaging, which includes Semantic segmentation and instance segmentation, image recognition and classification, 3D detection, segmentation and reconstruction, filtering, deblurring and super-resolution, motion estimation, depth esti... | Jiaya Jia | 0.799675 |
81,278 | This algorithm is implemented by RivEX, an ESRI ArcGIS 10.7 tool. The input to their algorithm is a network of the centre lines of the bodies of water, represented as arcs (or edges) joined at nodes. Lake boundaries and river banks should not be used as arcs, as these will generally form a non-tree network with an inco... | Strahler number | 0.799674 |
81,279 | Therefore, the early versions of the theorem could make no predictions about the effect on the unskilled labor force in a high-income country under trade liberalization. However, more sophisticated models with multiple classes of worker productivity have been shown to produce the Stolper–Samuelson effect within each cl... | Stolper–Samuelson theorem | 0.799674 |
81,280 | In this portrayal, mutationism was defeated by a synthesis of genetics and natural selection that supposedly started later, around 1918, with work by the mathematician Ronald Fisher. However, the alignment of Mendelian genetics and natural selection began as early as 1902 with a paper by Udny Yule, and built up with th... | Mutationism | 0.799674 |
81,281 | SPLATT is an open source software package for high-performance sparse tensor factorization. SPLATT ships a stand-alone executable, C/C++ library, and Octave/MATLAB API. Cadabra is a computer algebra system (CAS) designed specifically for the solution of problems encountered in field theory. | Tensor software | 0.799674 |
81,282 | The Schlegel diagram of a convex polyhedron represents its vertices and edges as points and line segments in the Euclidean plane, forming a subdivision of an outer convex polygon into smaller convex polygons (a convex drawing of the graph of the polyhedron). It has no crossings, so every polyhedral graph is also a plan... | Polyhedral graph | 0.799674 |
81,283 | Due to the aggregated (right-skewed) distribution of group members among groups, the application of parametric statistics would be misleading. Another problem arises when analyzing crowding values. Crowding data consist of non-independent values, or ties, which show multiple and simultaneous changes due to a single bio... | Group size measures | 0.799674 |
81,284 | There is no need to differ between raising and lowering indices, and in this context and applications to physics and engineering the indices are usually all subscripted to remove confusion for exponents. All indices will be lowered in the remainder of this article. One can determine the actual raised and lowered indice... | Euclidean tensor | 0.799674 |
81,285 | By Wedderburn's theorem every finite skewfield is a field and an automorphism of order two (other than the identity) can only exist in a finite field whose order is a square. These facts help to simplify the general situation for finite Desarguesian planes. We have:If π is a polarity of the finite Desarguesian projecti... | Dual projective space | 0.799674 |
81,286 | In chapter 4, "Entangling Space", Greene explores the revolution of the quantum mechanical era, focusing on what it means for objects to be separate and distinct in a universe dictated by quantum laws. This chapter studies quantum mechanics, including the concepts of probability waves and interference patterns, particl... | The Fabric of the Cosmos | 0.799673 |
81,287 | The first series were the V6 and V8, with 32MB and 128MB of RAM respectively; the V10 and V12 had double the geometry performance of the older V6/V8, but were otherwise similar. The V6 and V10 can have up to 8MB RAM allocated to textures, while V8 and V12 can have up to 108MB RAM used for textures. The V10 and V12 boar... | SGI VPro | 0.799673 |
81,288 | The C–Pb bond in tetramethyllead is 222 pm long with a dissociation energy of 49 kcal/mol (204 kJ/mol). For comparison the C–Sn bond in tetramethyltin is 214 pm long with dissociation energy 71 kcal/mol (297 kJ/mol). The dominance of Pb(IV) in organolead chemistry is remarkable because inorganic lead compounds tend to ... | Organolead compound | 0.799672 |
81,289 | These large-scale adaptive immune receptor repertoire sequencing (AIRR-seq) data require specialized bioinformatics pipelines to be analyzed effectively. Many computational tools are being developed for this purpose, including: The MiXCR is one of the most widely cited platforms for the analysis of high-throughput T ce... | Immune repertoire | 0.799672 |
81,290 | Ehrlich and Raven's paper was highly influential on a generation of biologists and contributed to the explosion of research on plant-insect interactions and chemical ecology. The theory of escape and radiate coevolution purports to explain why we see such vast biological diversity on earth. After the organism escapes, ... | Escape and radiate coevolution | 0.799672 |
81,291 | (French) National Centre for the Evaluation of Photoprotection (CNEP) is a subsidiary company of the University Blaise Pascal created in 1986 by Professor Jacques Lemaire, former head of the Laboratory of Molecular and Macromolecular Photochemistry (LPMM) - Clermont-Ferrand (France). Initially, the goal was to transfe... | National Centre for the Evaluation of Photoprotection | 0.799671 |
81,292 | In this definition, lab-on-a-chip devices do not strictly have biological applications, although most do or are amenable to be adapted for biological purposes. Similarly, micro total analysis systems may not have biological applications in mind, and are usually dedicated to chemical analysis. A broad definition for bio... | Bio-MEMS | 0.799671 |
81,293 | The improved flexibility of the smart grid permits greater penetration of highly variable renewable energy sources such as solar power and wind power, even without the addition of energy storage. Current network infrastructure is not built to allow for many distributed feed-in points, and typically even if some feed-in... | Smart power grid | 0.799671 |
81,294 | (1994). A Survey of Thermodynamics, American Institute of Physics Press, New York, ISBN 0-88318-797-3. Born, M. | Thermodynamic energy | 0.799671 |
81,295 | In chemistry, bond stretch isomerism is a concept of isomerism based on variations of bond length. The concept was proposed in the 1970s but was refuted in the 1990s.The phenomenon was first invoked to explain the observation of blue and green isomers of mer-MoOCl2(PMe2Ph)3, where PMe2Ph is dimethylphenylphosphine. The... | Bond stretch isomer | 0.799671 |
81,296 | In 2006, he introduced a new kind of spin-orbit coupled Bose-Einstein Condensate. In 2007, together with University of Maryland coworkers including Sankar Das Sarma, Galitski resolved the minimal conductivity puzzle in graphene physics. Together with Gil Refael, Galitski co-introduced Floquet topological insulators.In ... | Victor Galitski | 0.79967 |
81,297 | The CaSTL Center organized several scientific events such as symposia, workshops, summer schools on single molecule chemistry. Noted among these are the 2018 Telluride Workshop on Molecular Videography and a symposium with the theme "Toward Chemistry in Real Space and Time" at the 2019 Fall Meeting of the American Chem... | Center for Chemistry at the Space-Time Limit | 0.79967 |
81,298 | Such constructions make evident the connection with group cohomology. Specifically, let EG be the weak simplicial complex whose n- simplices are the ordered (n+1)-tuples {\displaystyle } of elements of G. Such an n-simplex attaches to the (n−1) simplices {\displaystyle } in the same way a standard simplex attaches to... | Classifying space | 0.79967 |
81,299 | The Fabric of the Cosmos: Space, Time, and the Texture of Reality (2004) is the second book on theoretical physics, cosmology, and string theory written by Brian Greene, professor and co-director of Columbia's Institute for Strings, Cosmology, and Astroparticle Physics (ISCAP). | The Fabric of the Cosmos | 0.799669 |
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