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Example-based machine translation (EBMT) is a method of machine translation often characterized by its use of a bilingual corpus with parallel texts as its main knowledge base at run-time. It is essentially a translation by analogy and can be viewed as an implementation of a case-based reasoning approach to machine lea...
Example-based translation
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In logic, the parameters passed to (or operated on by) an open predicate are called parameters by some authors (e.g., Prawitz, "Natural Deduction"; Paulson, "Designing a theorem prover"). Parameters locally defined within the predicate are called variables. This extra distinction pays off when defining substitution (wi...
Parameter
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Superstrong approximation is a generalisation of strong approximation in algebraic groups G, to provide spectral gap results. The spectrum in question is that of the Laplacian matrix associated to a family of quotients of a discrete group Γ; and the gap is that between the first and second eigenvalues (normalisation so...
Superstrong approximation
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The isomorphism to the group using upper triangular matrices relies on the decomposition of V into a Darboux basis, which amounts to a choice of isomorphism V ≅ U ⊕ U*. Although the new group law yields a group isomorphic to the one given higher up, the group with this law is sometimes referred to as the polarized Heis...
Discrete Heisenberg group
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C.C. Patterson Medal – named after Clair Cameron Patterson (1922–1995), who developed uranium–lead dating, it recognizes an innovative breakthrough in environmental geochemistry, particularly one of value to society. Alfred Treibs Medal – Named after Alfred E. Treibs (1899–1983), whose papers on porphyrins were the beg...
Geochemical Society
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More than twenty years later, the Research Group for functional morphological Studies of the Vertebrates in the Department of Biology (Biotechnical Faculty, University of Ljubljana), is one of the leading groups studying the olm under the guidance of Boris Bulog. There are also several cave laboratories in Europe in wh...
Olm
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Some enter into this profession with degrees in film and television production. Students with fine art or sculpting experience may be well-equipped for special effects careers in modeling, illustration, animation, and other artistic aspects of effects. Experience with computer software and/or hardware (up to and includ...
Special effects supervisor
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The set of all class functions is a C {\displaystyle \mathbb {C} } –algebra and is denoted by C class ( G ) {\displaystyle \mathbb {C} _{\text{class}}(G)} . Its dimension is equal to the number of conjugacy classes of G . {\displaystyle G.}
Complex representations of finite groups
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In four-dimensional euclidean geometry, the tesseractic honeycomb is one of the three regular space-filling tessellations (or honeycombs), represented by Schläfli symbol {4,3,3,4}, and constructed by a 4-dimensional packing of tesseract facets. Its vertex figure is a 16-cell. Two tesseracts meet at each cubic cell, fou...
Tesseractic honeycomb
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Mars doesn't have an intrinsic global magnetic field, but the solar wind directly interacts with the atmosphere of Mars, leading to the formation of a magnetosphere from magnetic field tubes. This poses challenges for mitigating solar radiation and retaining an atmosphere. The lack of a magnetic field, its relatively s...
Terraforming of Mars
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Safety is a key feature touted by the A123 technology, with a video on their website of a nail drive test, in which a nail is driven through a traditional Li-Ion battery and an A123 Li-Ion battery, where the traditional battery flames up and bubbles at one end, the A123 battery simply emits a wisp of smoke at the penet...
Nanobatteries
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Micchelli graduated in 1969 with a PhD from Stanford University. His PhD thesis Saturation Classes and Iterates of Operators was supervised by Samuel Karlin.Influenced by Gene Golub and recognizing the growing importance of computers and numerical analysis, Micchelli accepted a postgraduate invitation at the University...
Charles Anthony Micchelli
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This study was a project conducted by scientists from Tata Institute of Fundamental Research, Mumbai; the Vikram Sarabhai Space Centre, Thiruvananthapuram; ISRO Satellite Centre Bengaluru; the Inter-University Centre for Astronomy and Astrophysics, Pune; and the Physical Research Laboratory, Ahmedabad.In July 2018, Ast...
Astrosat
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Human beings possess specialized brain circuits that are designed for the recognition of faces and the generation and recognition of facial expressions, which artificial intelligence research suggests require complex computations that are difficult to replicate even in powerful computers. The same situation is found in...
Media naturalness theory
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In particular, a form of the birthday paradox implies that, in a random functional graph with n vertices, the path starting from a randomly selected vertex will typically loop back on itself to form a cycle within O(√n) steps. Konyagin et al. have made analytical and computational progress on graph statistics.Martin, O...
Pseudoforest
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To develop suitable models with point processes in stochastic geometry, spatial statistics and related fields, there are number of useful transformations that can be performed on point processes including: thinning, superposition, mapping (or transformation of space), clustering, and random displacement.
Point process operation
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Haynes, William M., ed. (2011). CRC Handbook of Chemistry and Physics (92nd ed.). CRC Press.
Diboron hexahydride
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This section covers recent advances in industrial engineering theory, techniques, methodology applications and practice, which includes, but is not limited to, operations research and decision-making models, quality engineering, production and inventory control, artificial intelligence in industrial engineering, engine...
Scientia Iranica
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In the words of Nobel chemistry laureate Bruce Merrifield, it was "probably the most important instrument ever developed towards the advancement of bioscience. "Once it became discontinued in 1976, Hewlett-Packard created the first commercially available diode-array spectrophotometer in 1979 known as the HP 8450A. Diod...
Spectrophotometry
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There are several fields researched by CSAR. Physical simulations are implemented in CSAR's Rocstar software suite. Fluids and combustion - The study of how a rocket's fuels are ignited and directed in such a way as to provide thrust. Multiphase Flow Turbulence Modeling Multiscale Acceleration (via "time zooming") Prop...
Center for the Simulation of Advanced Rockets
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Cytel's Consulting arm focuses on optimizing the approach for biopharma clinical research development objectives. Functional elements their Strategic Consulting team claims to provide include: Adaptive Trial Design and Implementation Collaborative Research Projects Program and Portfolio Optimization Regulatory Interact...
Cytel
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The typical application for multigrid is in the numerical solution of elliptic partial differential equations in two or more dimensions.Multigrid methods can be applied in combination with any of the common discretization techniques. For example, the finite element method may be recast as a multigrid method. In these c...
Numerical partial differential equations
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Bipyridines, especially the 4,4' isomer, are mainly of significance in pesticides. Six isomers of bipyridine exist, but two are prominent. 2,2′-bipyridine,.also known as bipyridyl, dipyridyl, and dipyridine, is a popular ligand in coordination chemistry
Bipyridine
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This toolbox is a set of Matlab-based tools for the analysis of functional near-infrared spectroscopy (fNIRS). This toolbox defines the +nirs namespace and includes a series of tools for signal processing, display, and statistics of fNIRS data. This toolbox is built around an object-oriented framework of Matlab classes...
Functional near-infrared spectroscopy
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Suppose γ ⊂ R2 is the circular arc oriented counterclockwise from (5, 0) to (−4, 3). Using the definition of a line integral, This result can be obtained much more simply by noticing that the function f ( x , y ) = x y {\displaystyle f(x,y)=xy} has gradient ∇ f ( x , y ) = ( y , x ) {\displaystyle \nabla f(x,y)=(y,x)} ...
Fundamental theorem of line integrals
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Game theory did not exist as a unique field until John von Neumann published the paper On the Theory of Games of Strategy in 1928. Von Neumann's original proof used Brouwer's fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathematical economics. Hi...
Computational game theory
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Note that because every line bundle L → X {\displaystyle L\to X} has an associated Hermitian form H {\displaystyle H} , and a semi-character can be constructed using the factor of automorphy for L {\displaystyle L} , we get a surjection Moreover, this is a group homomorphism with a trivial kernel. These facts can all b...
Complex tori
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The notion of localization of a ring (in particular the localization with respect to a prime ideal, the localization consisting in inverting a single element and the total quotient ring) is one of the main differences between commutative algebra and the theory of non-commutative rings. It leads to an important class of...
Commutative algebra
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The n-sphere is a locally conformally flat manifold that is not globally conformally flat in this sense, whereas a Euclidean space, a torus, or any conformal manifold that is covered by an open subset of Euclidean space is (globally) conformally flat in this sense. A locally conformally flat manifold is locally conform...
Conformal structure
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In particle physics, elementary particles and forces give rise to the world around us. Physicists explain the behaviors of these particles and how they interact using the Standard Model—a widely accepted framework believed to explain most of the world we see around us. Initially, when these models were being developed ...
Higgsless model
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Tait's proof follows simply from the properties of the evolute, the curve traced out by the centers of osculating circles. For curves with monotone curvature, the arc length along the evolute between two centers equals the difference in radii of the corresponding circles. This arc length must be greater than the straig...
Tait–Kneser theorem
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With respect to application of the generalized pericyclic selection rule, these systems can generally be treated as though one more electron were involved.Between the initial development of the principle of orbital symmetry conservation in 1965 by Woodward and Hoffmann and their statement of the generalized pericyclic ...
Symmetry forbidden
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Alexandroff plank in topology, an area of mathematics, is a topological space that serves as an instructive example.
Alexandroff plank
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These authors were awarded patents on the effects that were never enforced, but never challenged.Before Josephson's prediction, it was only known that single (i.e. non-paired) electrons can flow through an insulating barrier, by means of quantum tunneling. Josephson was the first to predict the tunneling of superconduc...
Josephson frequency
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Clarendon Press. ASIN B0020TCMR8. OCLC 458641769.A classic reference on the Earth's magnetic field and related topics in meteorology, solar and lunar physics, the aurora, techniques of spherical harmonic analysis and treatment of periodicities in geophysical data.
List of important publications in physics
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In physics, the discovery of nuclear fission in the Atomic Age led to both nuclear weapons and nuclear power. Computers were invented and later shifted from analog to digital in the Digital Revolution. Information technology, particularly optical fiber and optical amplifiers led to the birth of the Internet, which ushe...
Virtual technology
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Many contemporary initiatives in physics outreach have begun to shift focus, transcending traditional field boundaries, seeking to engage students and the public by integrating elements of aesthetic design and popular culture. The goal has been not only to push physics out of a strictly science education framework but ...
Physics outreach
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Sphere theorem. If M is a simply connected compact n-dimensional Riemannian manifold with sectional curvature strictly pinched between 1/4 and 1 then M is diffeomorphic to a sphere. Cheeger's finiteness theorem. Given constants C, D and V, there are only finitely many (up to diffeomorphism) compact n-dimensional Rieman...
Riemannian space
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In chemistry, the mesomeric effect (or resonance effect) is a property of substituents or functional groups in a chemical compound. It is defined as the polarity produced in the molecule by the interaction of two pi bonds or between a pi bond and lone pair of electrons present on an adjacent atom. This change in electr...
Mesomeric effect
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Sleep deprivation has been suggested. Inhibition of steroid sulphatase caused behavioural abnormalities in mice. A recent hypothesis,: 75–82 supported by collateral studies, invokes the re-awakening of auto-immunity after its suppression during pregnancy, on the model of multiple sclerosis or autoimmune thyroiditis; a ...
Postpartum psychosis
0.797
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Understanding Special Relativity The theory of special relativity in an easily understandable way. An Introduction to the Special Theory of Relativity (1964) by Robert Katz, "an introduction ... that is accessible to any student who has had an introduction to general physics and some slight acquaintance with the calcul...
Relativistic velocities
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Limiting warming to 1.5 °C will require halving emissions by 2030 and achieving net-zero emissions by 2050. Reducing emissions requires generating electricity from low-carbon sources rather than burning fossil fuels. This change includes phasing out coal and natural gas fired power plants, vastly increasing use of wind...
Anthropogenic global warming
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As the CR occurs, electromagnetic radiation is emitted in a cone shape, fanning out in the forward direction. CR and the 1937 theory has led to a large array of applications in high energy physics. A notable application are the Cherenkov counters.
Double negative metamaterial
0.797
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Michael Luck is a professor of computer science based at the Department of Informatics, King's College London, in central London, England. His main research area is in intelligent agents and multi-agent systems.
Michael Luck (computer scientist)
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Materials used in the construction of an in vivo bioreactor space vary widely depending on the type of substrate, type of tissue, and mechanical demands of said tissue being grown. At its simplest, a bioreactor space will be created between tissue layers through the use of hydrogel injections to create a bioreactor spa...
In vivo bioreactor
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Many “satellite” tools have been incorporated into the LISE++ framework, which are accessible with buttons on the main toolbar and include: Physical calculator Relativistic Kinematics calculator Evaporation calculator Radiation Residue Calculator Units converter ISOL catcher utility Nuclide and Isomeric state Databases...
LISE++
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Subsequently, Smart has been severely criticized for his use (or misuse) of Occam's razor and ultimately retracted his advocacy of it in this context. Paul Churchland (1984) states that by itself Occam's razor is inconclusive regarding duality. In a similar way, Dale Jacquette (1994) stated that Occam's razor has been ...
Ockham’s razor
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Ralph Sarich (born 1938) – invented orbital engine Thomas Savery (c. 1650–1715) – early steam engine patent holder, author of A Miner's Friend; or An Engine to Raise Water by Fire Per Georg Scheutz (1785–1873) – pioneer in computer technology (Scheutzian calculation engine) Dan Shechtman (born 1941) – discovered Icosah...
List of mechanical engineers
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The mean value theorem gives a relationship between values of the derivative and values of the original function. If f(x) is a real-valued function and a and b are numbers with a < b, then the mean value theorem says that under mild hypotheses, the slope between the two points (a, f(a)) and (b, f(b)) is equal to the sl...
Differential calculus
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The source–sink model of population dynamics has made contributions to many areas in ecology. For example, a species' niche was originally described as the environmental factors required by a species to carry out its life history, and a species was expected to be found only in areas that met these niche requirements. T...
Source–sink dynamics
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The following is a primality test in Free Pascal using the same optimization as above.
Primality test
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Stochastic processes may be used in music to compose a fixed piece or may be produced in performance. Stochastic music was pioneered by Xenakis, who coined the term stochastic music. Specific examples of mathematics, statistics, and physics applied to music composition are the use of the statistical mechanics of gases ...
Aleatoric music
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Unlike most database management systems, Visual FoxPro is a full-featured, dynamic programming language that does not require the use of an additional general-purpose programming environment. It can be used to write not just traditional "fat client" applications, but also middleware and web applications.
Microsoft Visual Foxpro
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Chromium supplementation in general is subject to a certain amount of controversy as it is by no means clear that chromium is an essential element in human biology. Nevertheless, chromium is an ingredient in total parenteral nutrition, along with other trace minerals. It is also in nutritional products for preterm infa...
Glucose tolerance factor
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The International Journal of Information Technology & Decision Making was founded in 2002 and is published by World Scientific. It is a peer-reviewed scientific journal covering the application of information technology to decision-making, in areas such as bio-informatics, fuzzy logic, neural networks, and online busin...
International Journal of Information Technology & Decision Making
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Mathematics: 7,625,597,484,987 – a number that often appears when dealing with powers of 3. It can be expressed as 19683 3 {\displaystyle 19683^{3}} , 27 9 {\displaystyle 27^{9}} , 3 27 {\displaystyle 3^{27}} , 3 3 3 {\displaystyle 3^{3^{3}}} and 33 or when using Knuth's up-arrow notation it can be expressed as 3 ↑↑ 3 ...
Order of magnitude (numbers)
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A major source of confusion and ambiguity in any creation–evolution debate can arise from the definition of evolution itself. In the context of biology, evolution is genetic changes in populations of organisms over successive generations. The word also has a number of different meanings in different fields, from evolut...
Objections to evolution
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MuPAD is a computer algebra system (CAS). Originally developed by the MuPAD research group at the University of Paderborn, Germany, development was taken over by the company SciFace Software GmbH & Co. KG in cooperation with the MuPAD research group and partners from some other universities starting in 1997. MuPAD's gr...
MuPAD
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A recent advance in approach to otolith microchemical analyses involves water chemistry analysis in conjunction with otolith microchemical analysis. In order to standardize chemical concentrations, all elemental concentrations are recorded as proportion to Ca. The difference between fresh and salt (marine) water is the...
Otolith microchemical analysis
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In biology, an error is said to occur when perfect fidelity is lost in the copying of information. For example, in an asexually reproducing species, an error (or mutation) has occurred for each DNA nucleotide that differs between the child and the parent. Many of these mutations can be harmful, but unlike other types o...
Error
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Dry basis is an expression of the calculation in chemistry, chemical engineering and related subjects, in which the presence of water (H2O) (and/or other solvents) is neglected for the purposes of the calculation. Water (and/or other solvents) is neglected because addition and removal of water (and/or other solvents) a...
Dry Basis
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Compatible open source software includes a game for balancing a ball. In 2007 NeuroSky released the first affordable consumer based EEG along with the game NeuroBoy. This was also the first large scale EEG device to use dry sensor technology.
Breach effect
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He also produced significant works on logic, physics, and theology, advancing his thoughts about intuitive and abstracted knowledge. 1347–50 – The Black Death devastated Europe.
Timeline of psychology
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The Journal of Mass Spectrometry is a peer-reviewed scientific journal covering all aspects of mass spectrometry including instrument design and development, ionization processes, mechanisms and energetics of gaseous ion reactions, spectroscopy of gaseous ions, theoretical aspects, ion structure, analysis of compounds ...
J Mass Spectrom
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A submodule M of N is called an essential submodule if it intersects every nonzero submodule of N. 2. An essential extension of a module M is a module N containing M such that every non-zero submodule intersects M. essentially of finite type An algebra is said to be essentially of finite type over another algebra if it...
Embedding dimension
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15.ai is a non-commercial freeware artificial intelligence web application that generates natural emotive high-fidelity text-to-speech voices from an assortment of fictional characters from a variety of media sources. Developed by a pseudonymous MIT researcher under the name 15, the project uses a combination of audio ...
15.ai
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Such an affine algebraic set is often said to be irreducible. If X is an affine algebraic set, and I is the ideal of all polynomials that are zero on X, then the quotient ring R = k / I {\displaystyle R=k/I} is called the coordinate ring of X. If X is an affine variety, then I is prime, so the coordinate ring is an in...
Affine variety
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In mathematical physics, the gamma matrices, { γ 0 , γ 1 , γ 2 , γ 3 } , {\displaystyle \ \left\{\gamma ^{0},\gamma ^{1},\gamma ^{2},\gamma ^{3}\right\}\ ,} also called the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the...
Gamma matrix
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The state of the system can be represented as a vector, the state vector, within state space. If the dynamical system is linear, time-invariant, and finite-dimensional, then the differential and algebraic equations may be written in matrix form. The state-space method is characterized by significant algebraization of g...
State space representation
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The asymptotic equipartition property (AEP) or "Shannon–McMillan–Breiman theorem" is a general property of the output samples of a stochastic source and is the basis of Information Theory. It is fundamental to the concept of typical sequences used in theories of coding theory. AEP was first introduced by Shannon (1948)...
Ilan Sadeh
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A closed surface is a surface that is compact and without boundary. Examples of closed surfaces include the sphere, the torus and the Klein bottle. Examples of non-closed surfaces include an open disk (which is a sphere with a puncture), a cylinder (which is a sphere with two punctures), and the Möbius strip. A surface...
Topological surface
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Phytomorphology is the study of the physical form and external structure of plants. This is usually considered distinct from plant anatomy, which is the study of the internal structure of plants, especially at the microscopic level. Plant morphology is useful in the visual identification of plants. Recent studies in mo...
Plant morphology
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Ordinary Differential Equations and Dynamical Systems. Providence: American Mathematical Society. ISBN 978-0-8218-8328-0.
Chaotic systems
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A telerobotic interface can be as simple as a common MMK (monitor-mouse-keyboard) interface. While this is not immersive, it is inexpensive. Telerobotics driven by internet connections are often of this type. A valuable modification to MMK is a joystick, which provides a more intuitive navigation scheme for the planar ...
Remote handling
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Born in Bologna, Righi was educated in his home town, taught physics at Bologna Technical College between 1873 and 1880, and left to take up the newly established chair of physics at the University of Palermo. He was a professor of physics at the University of Padua (1885–89) and later returned to a professorship at th...
Augusto Righi
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Then f 1 ( ξ 1 ) , f 2 ( ξ 2 ) , … , f m ( ξ m ) {\displaystyle f_{1}(\xi _{1}),f_{2}(\xi _{2}),\ldots ,f_{m}(\xi _{m})} are independent uncertain variables. Theorem 3: Let Φ i {\displaystyle \Phi _{i}} be uncertainty distributions of independent uncertain variables ξ i , i = 1 , 2 , … , m {\displaystyle \xi _{i},\quad...
Uncertainty theory
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The CfA estimates that roughly 10% of the professional astrophysics community in the United States spent at least a portion of their career or education there.The CfA is either a lead or major partner in the operations of the Fred Lawrence Whipple Observatory, the Submillimeter Array, MMT Observatory, the South Pole Te...
Harvard–Smithsonian Center for Astrophysics
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In the differential geometry of curves in three dimensions, the torsion of a curve measures how sharply it is twisting out of the osculating plane. Taken together, the curvature and the torsion of a space curve are analogous to the curvature of a plane curve. For example, they are coefficients in the system of differen...
Torsion points on curves
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In the field of physics, engineering, and earth sciences, advection is the transport of a substance or quantity by bulk motion of a fluid. The properties of that substance are carried with it. Generally the majority of the advected substance is also a fluid. The properties that are carried with the advected substance a...
Advection equation
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Given an n-dimensional formal group law F over R and a commutative R-algebra S, we can form a group F(S) whose underlying set is Nn where N is the set of nilpotent elements of S. The product is given by using F to multiply elements of Nn; the point is that all the formal power series now converge because they are being...
Formal group
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The Polynucleobacter-1 RNA motif is a conserved RNA structure that was identified by bioinformatics. The RNA structure is predominantly located in genome sequences derived from DNA extracted from uncultivated marine samples. However it was also predicted in the genome of Polynucleobacter species QLW-P1DMWA-1, a kind of...
Polynucleobacter-1 RNA motif
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94,181
The process of dispersal of aerobiological particles has 3 steps: removal from source, dispersion through air, and deposition to rest. The particle geometry and environment affect all three phases, however once it is aerosolized, its fate depends on the laws of physics governing the motion of the air.
Aerobiology
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Finally, the two random variables X and Y are equal if they are equal as functions on their measurable space: X ( ω ) = Y ( ω ) for all ω . {\displaystyle X(\omega )=Y(\omega )\qquad {\hbox{for all }}\omega .} This notion is typically the least useful in probability theory because in practice and in theory, the underly...
Random Variable
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GALE inverts the configuration of the 4' hydroxyl group of UDP-galactose through a series of 4 steps. Upon binding UDP-galactose, a conserved tyrosine residue in the active site abstracts a proton from the 4' hydroxyl group.Concomitantly, the 4' hydride is added to the si-face of NAD+, generating NADH and a 4-ketopyran...
UDP-glucose 4-epimerase
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CiteSeerX uses automated information extraction tools, usually built on machine learning methods such ParsCit, to extract scholarly document metadata such as title, authors, abstract, citations, etc. As such, there are sometime errors in authors and titles. Other academic search engines have similar errors.
CiteSeerX
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In the geometry of hyperbolic 3-space, the order-5 octahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,4,5}. It has five octahedra {3,4} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many octahedra existing around each...
Order-8 octahedral honeycomb
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Current farming methods have resulted in over-stretched water resources, high levels of erosion and reduced soil fertility. According to a report by the International Water Management Institute and the United Nations Environment Programme, there is not enough water to continue farming using current practices; therefore...
Agroecosystem
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Within a year, it was shown that the two theories were equivalent. Schrödinger himself initially did not understand the fundamental probabilistic nature of quantum mechanics, as he thought that the absolute square of the wave function of an electron should be interpreted as the charge density of an object smeared out o...
Mathematical formulation of quantum mechanics
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The first result in this direction was Van der Waerden's theorem in 1927, which states that for sufficiently large N, coloring the integers 1 , … , n {\displaystyle 1,\dots ,n} with r {\displaystyle r} colors will result in a k {\displaystyle k} term arithmetic progression.Later on in 1936 Erdős and Turán conjectured a...
Roth's theorem on arithmetic progressions
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94,189
If f vanishes identically on all vectors it is said to be totally degenerate. Given any bilinear form f on V the set of vectors { x ∈ V ∣ f ( x , y ) = 0 for all y ∈ V } {\displaystyle \{x\in V\mid f(x,y)=0{\mbox{ for all }}y\in V\}} forms a totally degenerate subspace of V. The map f is nondegenerate if and only if th...
Nondegenerate bilinear form
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Since IoMT technology may be used in an adversarial setting, researchers must account for the possibility that a large number of sources may become compromised to the point where threat-assessing algorithms may use some of those compromised sources to falsely corroborate the veracity of potentially malicious entities.M...
Internet of Military Things
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Darwin's influence on modern thought Crafoord Prize lecture, September 23, 1999. 2000. Biology in the Twenty-First Century Archived 2011-05-14 at the Wayback Machine Bioscience 50 (Oct.
Ernst Mayr
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In graph theory, a branch of mathematics, the kth power Gk of an undirected graph G is another graph that has the same set of vertices, but in which two vertices are adjacent when their distance in G is at most k. Powers of graphs are referred to using terminology similar to that of exponentiation of numbers: G2 is cal...
Power of graph
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94,193
Naive height The naive height or classical height of a vector of rational numbers is the maximum absolute value of the vector of coprime integers obtained by multiplying through by a lowest common denominator. This may be used to define height on a point in projective space over Q, or of a polynomial, regarded as a vec...
Reduction mod p
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If the degree is odd, then by the intermediate value theorem at least one of the roots is real. Therefore, any real matrix with odd order has at least one real eigenvalue, whereas a real matrix with even order may not have any real eigenvalues. The eigenvectors associated with these complex eigenvalues are also complex...
Right eigenvector
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Pheromones are used by many organisms, from basic unicellular prokaryotes to complex multicellular eukaryotes. Their use among insects has been particularly well documented. In addition, some vertebrates, plants and ciliates communicate by using pheromones. The ecological functions and evolution of pheromones are a maj...
Pheromone receptors
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94,196
In statistics, the Cochran–Mantel–Haenszel test (CMH) is a test used in the analysis of stratified or matched categorical data. It allows an investigator to test the association between a binary predictor or treatment and a binary outcome such as case or control status while taking into account the stratification. Unli...
Cochran–Mantel–Haenszel statistics
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An adaptive neuro-fuzzy inference system or adaptive network-based fuzzy inference system (ANFIS) is a kind of artificial neural network that is based on Takagi–Sugeno fuzzy inference system. The technique was developed in the early 1990s. Since it integrates both neural networks and fuzzy logic principles, it has pote...
Adaptive neuro fuzzy inference system
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Etzioni, Oren (March 14, 2018). "A Hippocratic Oath for artificial intelligence practitioners". Tech Crunch.
Oren Etzioni
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The Erdős–Turán conjecture makes a statement about primes in arithmetic progression. Much of Turán's number theory work dealt with the Riemann hypothesis and he developed the power sum method (see below) to help with this. Erdős said "Turán was an 'unbeliever,' in fact, a 'pagan': he did not believe in the truth of Rie...
Pál Turán
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