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They demonstrate original Manin's approach as described below (one should thought of usual matrices as homomorphisms of polynomial rings, while Manin matrices are more general "non-commutative homomorphisms"). Pay attention that polynomial algebra generators are presented as column vectors, while Grassmann algebra as r...
Manin matrices
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In mathematics, a scheme is a mathematical structure that enlarges the notion of algebraic variety in several ways, such as taking account of multiplicities (the equations x = 0 and x2 = 0 define the same algebraic variety but different schemes) and allowing "varieties" defined over any commutative ring (for example, F...
Scheme theory
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Self-driving cars encapsulate many machine learning technologies to function: computer vision for analyzing obstacles, machine learning for adapting their pace to the environment (e.g., bumpiness of the road). Due to the potential high number of self-driving cars and the need for them to quickly respond to real world s...
Federated learning
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Further, even in mice, where these confounding influences can be controlled, "true trans-generational epigenetic inheritance is extremely rare. "Stephanie Lloyd and Alexandre Larivée, point out that research done in epigenetics reframes and de-centers the individuals' consciousness and instead highlights their ailing b...
Transgenerational trauma
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The characteristic impedance or surge impedance (usually written Z0) of a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line; that is, a wave travelling in one direction in the absence of reflections in the other direction. Alternatively and equiv...
Performance and modelling of AC transmission
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Calculating its frontier molecular orbitals sug­gests the existence of relatively stable singlet and triplet states, with a sextuple bond in the singlet state. But that state is the excited one; the triplet ground state should exhibit a formal quintuple bond. Similarly, for the dibenzene complexes Cr2(C6H6)2, Mo2(C6H6)...
Sextuple bond
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The last cases of smallpox occurred in an outbreak of two cases, one of which was fatal, in Birmingham, United Kingdom, in 1978. A medical photographer, Janet Parker, contracted the disease at the University of Birmingham Medical School and died on September 11, 1978. In light of this incident, all known stocks of the ...
Smallpox virus retention debate
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The 12 family uses a nonseparable (N in MN) functional form aiming to provide balanced performance for both chemistry and solid-state physics applications. It is composed by: MN12-L: A local functional, 0% HF exchange. The aim of the functional was to be very versatile and provide good computational performance and acc...
Minnesota functionals
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In physical and analytical chemistry, colorimetry or colourimetry is a technique used to determine the concentration of colored compounds in solution. A colorimeter is a device used to test the concentration of a solution by measuring its absorbance of a specific wavelength of light (not to be confused with the tristim...
Colorimetric detector tubes
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Project planning identifies the problems and encourages stakeholders to negotiate the steps necessary to mediate the risks the environmental contamination pose to human health and ecology. The specific goals of a project (redevelopment, revitalization, etc.) may differ, but the specific objectives during the SPP proces...
Triad (environmental science)
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The Z-axis differentiates between axial-flow geometry and radial-flow geometry within the physical domain of turbomachinery. It is implied that mixed-flow turbomachinery lie between axial and radial. Key contributors of technical achievements that pushed the practical application of turbomachinery forward include: Deni...
Centrifugal compressor
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This extension is mainly used in the field of biology on images acquired by a scan microscope. VisionTutor: Online image processing course including all the theory and application macro commands that are compatible with Aphelion.The Aphelion user can add his/her own macro-commands in the user interface that have been a...
Aphelion (software)
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Microsoft SEAL comes with two different homomorphic encryption schemes with very different properties: BFV: The BFV scheme allows modular arithmetic to be performed on encrypted integers. For applications where exact values are necessary, the BFV scheme is the only choice. CKKS: The CKKS scheme allows additions and mul...
Microsoft SEAL
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The claim was particularly interesting in light of the solid scientific reputation of Dr. Koroteyev and the Institute for Thermal Processes, which is one of the top scientific research organizations in the world in the field of fundamental physics.The Journal of Electronic Defense reported that "plasma-cloud-generation...
Plasma stealth
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The Cauchy stress in a compressible hyperelastic material with a stress free reference configuration is given by σ = 2 J + I {\displaystyle {\boldsymbol {\sigma }}={\cfrac {2}{J}}\left+\left~{\boldsymbol {I}}} For a compressible Mooney–Rivlin material, ∂ W ∂ I ¯ 1 = C 1 ; ∂ W ∂ I ¯ 2 = C 2 ; ∂ W ∂ J = 2 D 1 ( J − 1 )...
Mooney–Rivlin solid
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From 1980 Aničin teaches specialized courses in "School of Isotopes" in the Institute for Nuclear Sciences "Vinča"). In Belgrade Aničin also taught general courses in physics at the Faculty for Teachers (Pedagogical Academy).Professor Aničin is a frequent lecturer at Kolarac Institute, where he gives public lectures fo...
Ivan Aničin
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Another method used to evaluate chalcogen bonding specifically and a wide range of bonding generally is natural bond orbital (NBO) analysis. NBO analysis distinguishes between covalent, Lewis-type bonding interactions and non-covalent, non-Lewis bonding interaction. The chalcogen bond will be evaluated based on the nat...
Chalcogen bond
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A selectable marker is a gene introduced into a cell, especially a bacterium or to cells in culture, that confers a trait suitable for artificial selection. They are a type of reporter gene used in laboratory microbiology, molecular biology, and genetic engineering to indicate the success of a transfection or other pro...
Selectable markers
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The scope of diving medicine must necessarily include conditions that are specifically connected with the activity of diving, and not found in other contexts, but this categorization excludes almost everything, leaving only deep water blackout, isobaric counterdiffusion and high pressure nervous syndrome. A more useful...
Diving Medical Examiner
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TensorFlow Quantum is an extension of TensorFlow that allows TensorFlow to be used to explore hybrid classical-quantum machine learning algorithms.
Cirq
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In mathematics, complex geometry is the study of geometric structures and constructions arising out of, or described by, the complex numbers. In particular, complex geometry is concerned with the study of spaces such as complex manifolds and complex algebraic varieties, functions of several complex variables, and holom...
Complex geometry
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In computer science, data stream clustering is defined as the clustering of data that arrive continuously such as telephone records, multimedia data, financial transactions etc. Data stream clustering is usually studied as a streaming algorithm and the objective is, given a sequence of points, to construct a good clust...
Data stream clustering
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Quaternion versors, which inhabit this 3-sphere, provide a representation of the rotation group SO(3). Clifford noted that Hamilton's biquaternions were a tensor product H ⊗ C {\displaystyle H\otimes C} of known algebras, and proposed instead two other tensor products of H: Clifford argued that the "scalars" taken from...
William Kingdon Clifford
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This generalizes the two previous examples; to prove that every epimorphism f: X → Y in Mod-R is surjective, we compose it with both the canonical quotient map g 1: Y → Y/f(X) and the zero map g2: Y → Y/f(X). Top: topological spaces and continuous functions. To prove that every epimorphism in Top is surjective, we proc...
Epimorphism
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This will allow any present hybrid population to move into new, unoccupied habitats, avoiding direct competition with parent species and giving a hybrid population time and space to establish. Genetics, too, can occasionally favor hybrids. In the Amboseli National Park in Kenya, yellow baboons and anubis baboons regula...
Hybrid species
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Isfahan Mathematics House (Persian:خانه ریاضیات اصفهان) is a non-formal education institute in Iran, focusing primarily on statistics, biology, physics, maths, AI, computer programming courses. Established 1998 mainly priority of the Isfahan mathematics house is to offer students training.
Math house
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NiuTrans is a machine translation system. It has a platform, an API, and two open-source translation systems. It is developed by the Natural Language Processing Group at Northeastern University (China).
NiuTrans
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Leca, Dominique; Fensterbank, Louis; Lacôte, Emmanuel; Malacria, Max (2005). "Recent advances in the use of phosphorus-centered radicals in organic chemistry". Chemical Society Reviews. 34 (10): 858–865.
Stable phosphorus radicals
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In 2004, Journal of Algebra announced (vol. 276, no. 1 and 2) the creation of a new section on computational algebra, with a separate editorial board. The first issue completely devoted to computational algebra was vol. 292, no. 1 (October 2005). The Editor-in-Chief of the Journal of Algebra is Michel Broué, Université...
Journal of Algebra
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Thurston and Dennis Sullivan generalized Lipman Bers' density conjecture from singly degenerate Kleinian surface groups to all finitely generated Kleinian groups in the late 1970s and early 1980s. The conjecture states that every finitely generated Kleinian group is an algebraic limit of geometrically finite Kleinian g...
William Thurston
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It is routine to check that the real numbers R, the complex numbers C and the quaternions H are examples of associative Euclidean Hurwitz algebras with their standard norms and involutions. There are moreover natural inclusions R ⊂ C ⊂ H. Analysing such an inclusion leads to the Cayley–Dickson construction, formalized ...
Euclidean Hurwitz algebra
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IEEE 1451 is a set of smart transducer interface standards developed by the Institute of Electrical and Electronics Engineers (IEEE) Instrumentation and Measurement Society's Sensor Technology Technical Committee describing a set of open, common, network-independent communication interfaces for connecting transducers (...
Transducer Electronic Data Sheet
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The emphasis on algebraic surfaces—algebraic varieties of dimension two—followed on from an essentially complete geometric theory of algebraic curves (dimension 1). The position in around 1870 was that the curve theory had incorporated with Brill–Noether theory the Riemann–Roch theorem in all its refinements (via the d...
Italian school of algebraic geometry
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SAS – Proprietary software; for example, see scikit-learn – Python library for machine learning which contains PCA, Probabilistic PCA, Kernel PCA, Sparse PCA and other techniques in the decomposition module. Scilab – Free and open-source, cross-platform numerical computational package, the function princomp computes pr...
Characteristic vector analysis
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Jauch was also interested in music, studying the violin from age twelve with his father, and then professionally after his father died when he was fifteen, performing chamber music from the age sixteen, and continuing throughout his student years in Zurich.In 1933 Jauch began studies at the ETH Zürich, paying his fees ...
Josef-Maria Jauch
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Robert Samuel Langer Jr. FREng (born August 29, 1948) is an American chemical engineer, scientist, entrepreneur, inventor and one of the twelve Institute Professors at the Massachusetts Institute of Technology.He was formerly the Germeshausen Professor of Chemical and Biomedical Engineering and maintains activity in th...
Robert S. Langer
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The catalog for the exhibition featured Cajal's drawing of the Purkinje Cell on the front cover.The National Institutes of Health, Bethesda, MD, USA and the Instituto Cajal, Madrid, Spain held collaborative symposiums honoring Cajal. The collaborative institutional symposiums were held on October 28, 2015, and May 24, ...
Santiago Ramón y Cajal
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Digital audio is stored in many formats. The simplest form is uncompressed PCM, where audio is stored as a series of quantized audio samples spaced at regular intervals in time. As samples are placed closer together in time, higher frequencies can be reproduced. According to the sampling theorem, any bandwidth-limited ...
Sound quality
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The set of the elements of L that are algebraic over K form a subextension, which is called the algebraic closure of K in L. This results from the preceding characterization: if s and t are algebraic, the extensions K(s) /K and K(s)(t) /K(s) are finite. Thus K(s, t) /K is also finite, as well as the sub extensions K(s ...
Adjoining (field theory)
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Early in the 20th century, interest in astrophysics grew in America, and multiple observatories were built. : 320 Solar telescopes (and thus, solar observatories), were installed at Mount Wilson Observatory in California in 1904,: 324 and in the 1930s at McMath–Hulbert Observatory. Interest also grew in other parts of ...
Solar observation
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In the geometry of hyperbolic 4-space, the order-4 120-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {5,3,3,4}, it has four 120-cells around each face. Its dual is the order-5 tesseractic honeycomb, {4,3,3,5}.
Order-4 120-cell honeycomb
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Kevin Michael Esvelt is an American biologist. He is currently an assistant professor at the MIT Media Lab and leads the Sculpting Evolution group. After receiving a B.A. in chemistry and biology from Harvey Mudd College, he completed his PhD work at Harvard University as a Hertz Fellow.
Kevin M. Esvelt
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Animatronics is the use of mechatronics to create machines that seem animate rather than robotic. Audio-Animatronics and Autonomatronics is a form of robotics animation, combined with 3-D animation, created by Walt Disney Imagineering for shows and attractions at Disney theme parks move and make noise (generally a reco...
3D computer animation
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The notion of normal operators generalizes to an involutive algebra: An element x of an involutive algebra is said to be normal if xx* = x*x. Self-adjoint and unitary elements are normal. The most important case is when such an algebra is a C*-algebra.
Normal operator
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In molecular biology, the CFC domain (Cripto_Frl-1_Cryptic domain) is a protein domain found at the C-terminus of a number of proteins including Cripto (or teratocarcinoma-derived growth factor). It is structurally similar to the C-terminal extracellular portions of Jagged 1 and Jagged 2. CFC is approx 40-residues long...
CFC domain
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Physics of Fluids A, Physics of Fluids B, and Physics of Fluids were ranked 3, 4, and 6, respectively based on their citation impact from 1981 to 2004 within the category of journals on the physics of fluids and plasmas. According to the Journal Citation Reports, the journal has a 2021 impact factor of 4.980.
The Physics of Fluids
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In computer science, a pebble automaton is any variant of an automaton which augments the original model with a finite number of "pebbles" that may be used to mark tape positions.
Pebble automaton
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Note that this does not imply that f is an open function.Quotient space If X is a space, Y is a set, and f: X → Y is any surjective function, then the Quotient topology on Y induced by f is the finest topology for which f is continuous. The space X is a quotient space or identification space. By definition, f is a quot...
Prodiscrete topology
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In combinatorics, Pollack published several papers with Paul Erdős and János Pach.Pollack also published papers in discrete geometry. His work with Jacob E. Goodman includes the first nontrivial bounds on the number of order types and polytopes, and a generalization of the Hadwiger transversal theorem to higher dimensi...
Richard M. Pollack
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A metaball's "blobby" appearance makes them versatile tools, often used to model organic objects and also to create base meshes for sculpting.The technique for rendering metaballs was invented by Jim Blinn in the early 1980s to model atom interactions for Carl Sagan's 1980 TV series Cosmos. It is also referred to collo...
Metaballs
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Slicer (3DSlicer), an open source, multi-platform project for image analysis and scientific visualization; originally developed by the Surgical Planning Laboratory at the Brigham and Women's Hospital and the MIT Artificial Intelligence Laboratory SCIRun is an open source, multi-platform scientific problem solving envir...
MeVisLab
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This unauthorized access occurs through phishing, skimming, and information sharing by a user, oftentimes unknowingly. However, this type of fraud can be detected through means of artificial intelligence and machine learning as well as prevented by issuers, institutions, and individual cardholders.
Credit card skimming
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88,552
This group of transformations has been discussed by S. Lie; it is the group of transformations which transform lines of curvature on a surface enveloped by spherical waves into lines of curvature on the surface enveloped by the corresponding spherical waves. Depending on λ {\displaystyle \lambda } they can be different...
Spherical wave transformation
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88,553
Whereas optimization methods are nearly as old as calculus, dating back to Isaac Newton, Leonhard Euler, Daniel Bernoulli, and Joseph Louis Lagrange, who used them to solve problems such as the shape of the catenary curve, numerical optimization reached prominence in the digital age. Its systematic application to struc...
Multidisciplinary optimization
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88,554
E. coli long-term evolution experiment – ecological genetics – ecological selection – ecological speciation – Endless Forms Most Beautiful – endosymbiosis – error threshold (evolution) – evidence of common descent – evolution – evolutionary arms race – evolutionary capacitance Evolution: of ageing – of the brain – of c...
Index of evolutionary biology articles
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The simple structure of polynomial functions makes them quite useful in analyzing general functions using polynomial approximations. An important example in calculus is Taylor's theorem, which roughly states that every differentiable function locally looks like a polynomial function, and the Stone–Weierstrass theorem, ...
Simple root
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In incidence geometry, the Moulton plane is an example of an affine plane in which Desargues's theorem does not hold. It is named after the American astronomer Forest Ray Moulton. The points of the Moulton plane are simply the points in the real plane R2 and the lines are the regular lines as well with the exception th...
Moulton plane
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88,557
Computer vision is the science and technology of machines that see. As a scientific discipline, computer vision is concerned with the theory behind artificial systems that extract information from images. The image data can take many forms, such as video sequences and views from cameras.
Robotics
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Heron of Alexandria found what is known as Heron's formula for the area of a triangle in terms of its sides, and a proof can be found in his book, Metrica, written around 60 CE. It has been suggested that Archimedes knew the formula over two centuries earlier, and since Metrica is a collection of the mathematical knowl...
Area of a triangle
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Goodman, A.W. (1968). Modern calculus with analytic geometry. Modern Calculus with Analytic Geometry.
Adolph Winkler Goodman
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One of the main structure theorems for comodulespg 303 is if Γ {\displaystyle \Gamma } is a flat A {\displaystyle A} -module, then the category of comodules Comod ( A , Γ ) {\displaystyle {\text{Comod}}(A,\Gamma )} of the Hopf-algebroid is an Abelian category.
Comodule over a Hopf algebroid
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{\displaystyle J_{s,k}(X)\ll X^{2s-{\frac {1}{2}}k(k+1)+\epsilon }.} Similarly if s ≤ 1 2 k ( k + 1 ) {\displaystyle s\leq {\frac {1}{2}}k(k+1)} the conjectural form is equivalent to the bound J s , k ( X ) ≪ X s + ϵ . {\displaystyle J_{s,k}(X)\ll X^{s+\epsilon }.} Stronger forms of the theorem lead to an asymptotic ex...
Vinogradov's mean-value theorem
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88,562
INDO stands for Intermediate Neglect of Differential Overlap. It is a semi-empirical quantum chemistry method that is a development of the complete neglect of differential overlap (CNDO/2) method introduced by John Pople. Like CNDO/2 it uses zero-differential overlap for the two-electron integrals but not for integrals...
INDO
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These seek to create smaller devices by using larger ones to direct their assembly. Many technologies that descended from conventional solid-state silicon methods for fabricating microprocessors are now capable of creating features smaller than 100 nm, falling under the definition of nanotechnology. Giant magnetoresist...
Nano sciences
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88,564
Inspired by museums such at The Exploratorium in San Francisco the Garden of Archimedes is packed with hands-on exhibits and is popular with both adults and children. The museum is divided into different sections or exhibitions, corresponding to different ways of discovering mathematics:Beyond compasses: the geometry o...
Garden of Archimedes
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The Master of Science in Human-Computer Interaction degree integrates information studies, computer science, education, psychology and engineering to prepare HCI leaders of the future. Through coursework and research experiences, students in this program will develop skills in: Fundamentals of Human-Computer Interactio...
University of Maryland College of Information Studies
0.79815
88,566
In geometry, two conic sections are called confocal if they have the same foci. Because ellipses and hyperbolas have two foci, there are confocal ellipses, confocal hyperbolas and confocal mixtures of ellipses and hyperbolas. In the mixture of confocal ellipses and hyperbolas, any ellipse intersects any hyperbola ortho...
Confocal quadrics
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His early research was focused on molecular recognition, models of serine proteases, and topologically novel DNA intercalators.He and his coworkers pioneered the development of a new class of nonmacrocyclic molecular hosts called molecular tweezers, also called more recently, molecular clips. His current work focuses o...
Steven Zimmerman
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Time's Arrow and Archimedes Point: New Directions for the Physics of Time is a 1996 book by Huw Price, on the physics and philosophy of the Arrow of Time. It explores the problem of the direction of time, looking at issues in thermodynamics, cosmology, electromagnetism, and quantum mechanics. Price argues that it is fr...
Time's Arrow and Archimedes' Point
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88,569
Antoine Lavoisier, in his famed 1789 Traité Élémentaire de Chimie (Elements of Chemistry), refers to Bergman's work and discusses the concept of elective affinities or attractions. According to chemistry historian Henry Leicester, the influential 1923 textbook Thermodynamics and the Free Energy of Chemical Reactions by...
Chemical affinity
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Further research into bacterioruberin can lead to bioactive compounds with anticancer characteristics. Lastly, bacteriorhodopsin (also protects cells from UV light), a light proton pump, has allowed scientists to apply it to electronics and optics. Its mechanism involves capturing light and creating a proton gradient t...
Halobacterium noricense
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In glaciology and civil engineering, Stefan's equation (or Stefan's formula) describes the dependence of ice-cover thickness on the temperature history. It says in particular that the expected ice accretion is proportional to the square root of the number of degree days below freezing. It is named for Slovenian physici...
Stefan's equation
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His main areas of research are at the intersection of high-performance computing and real-world applications, including cybersecurity, massive-scale analytics, and computational genomics. Bader built the first Linux supercomputer using commodity processors and a high-speed interconnection network.Bader is an IEEE Fello...
David Bader (computer scientist)
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Biological psychology is the scientific study of the biological substrates of behavior and mental states. Seeing all behavior as intertwined with the nervous system, biological psychologists feel it is sensible to study how the brain functions in order to understand behavior. This is the approach taken in behavioral ne...
Subfields of psychology
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From a radiation biology standpoint, there is considerable rationale to support use of heavy-ion beams in treating cancer patients. All proton and other heavy ion beam therapies exhibit a defined Bragg peak in the body so they deliver their maximum lethal dosage at or near the tumor. This minimizes harmful radiation to...
Carbon ion radiotherapy
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88,575
It is an open question to give support for a "Church thesis" for fuzzy mathematics, the proposed notion of recursive enumerability for fuzzy subsets is the adequate one. In order to solve this, an extension of the notions of fuzzy grammar and fuzzy Turing machine are necessary. Another open question is to start from th...
Fuzzy logics
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88,576
At the time of its opening, Dunton was assigned responsibility within Ford of Europe for vehicle design, interior styling, chassis and body interior engineering, engine calibration and product planning. Ford's Merkenich Centre in Cologne, Germany was given principal responsibility for body and electrical engineering, b...
Dunton Technical Centre
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Another such approach, fusion analysis, overlays fundamental analysis with technical, in an attempt to improve portfolio manager performance. Technical analysis is also often combined with quantitative analysis and economics. For example, neural networks may be used to help identify intermarket relationships.Investor a...
Technical analysis
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These products support by reading the abstract found in the COLLADA file and transferring it into a form that the middleware can support and represent in a physical simulation. This also enables different middleware and tools to exchange physics data in a standardized manner. The Physics Abstraction Layer provides supp...
COLLADA
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Green nanotechnology has two goals: producing nanomaterials and products without harming the environment or human health, and producing nano-products that provide solutions to environmental problems. It uses existing principles of green chemistry and green engineering to make nanomaterials and nano-products without tox...
Nanotechnology in water treatment
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88,580
This AVI movie shows weave. For most bikes, depending on geometry and mass distribution, weave is unstable at low speeds, and becomes less pronounced as speed increases until it is no longer unstable. While the amplitude may decrease, the frequency actually increases with speed.
Bike physics
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88,581
Gerard J. Milburn proposed a quantum-optical realization of a Fredkin gate. Bikas K. Chakrabarti & collaborators from Saha Institute of Nuclear Physics, Kolkata, India, proposed that quantum fluctuations could help explore rugged energy landscapes by escaping from local minima of glassy systems having tall but thin bar...
Timeline of quantum computing and communication
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In 1905 Study wrote "Kürzeste Wege im komplexen Gebiet" (Shortest paths in the complex domain) for Mathematische Annalen (60:321–378). Some of its contents were anticipated by Guido Fubini a year before. The distance Study refers to is a Hermitian form on complex projective space. Since then this metric has been called...
Eduard Study
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Nikiforov (2005) uses Turán graphs to supply a lower bound for the sum of the kth eigenvalues of a graph and its complement. Falls, Powell, and Snoeyink develop an efficient algorithm for finding clusters of orthologous groups of genes in genome data, by representing the data as a graph and searching for large Turán su...
Octahedral graph
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In June 2008, the experiment was repeated in order to further assess the chemistry of the element using the 289Fl isotope. A single atom was detected seeming to confirm the noble-gas-like properties of the element. During May–July 2009, the team at GSI studied this reaction for the first time, as a first step towards t...
Flerovium-286
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In the first geometry, the imposed velocity is zero (We=0), after an unstable liquid bridge is generated by rapid motion of two coaxial cylindrical plate. The thinning of the capillary bridge is purely governed by the interplay of inertial, viscous, elastic and capillary forces. This configuration is employed in the Ca...
Capillary Breakup Rheometry
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88,586
; Takagi, I. Large amplitude stationary solutions to a chemotaxis system. J. Differential Equations 72 (1988), no. 1, 1–27. Ni, Wei-Ming; Takagi, Izumi.
Wei-Ming Ni
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According to whether all the model variables are deterministic, economic models can be classified as stochastic or non-stochastic models; according to whether all the variables are quantitative, economic models are classified as discrete or continuous choice model; according to the model's intended purpose/function, it...
Economic model
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The images in the illustrations were created using three-dimensional, engineering computer graphics. Three-dimensional, computer modeling produces virtual space "behind the tube", as it were, and may produce any view of a model from any direction within this virtual space. It does so without the need for adjacent ortho...
Descriptive Geometry
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Β represents the beta function β {\displaystyle \beta } represents: the thermodynamic beta, equal to (kBT)−1, where kB is Boltzmann's constant and T is the absolute temperature. the second angle in a triangle, opposite the side b the standardized regression coefficient for predictor or independent variables in linear r...
Greek letters used in mathematics, science, and engineering
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When assessing the equal opportunity for a type of job or company or industry or nation, then statistical analysis is often done by looking at patterns and abnormalities, typically comparing subgroups with larger groups on a percentage basis. If equality of opportunity is violated, perhaps by discrimination which affec...
Equal opportunity
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MCDM has been an active area of research since the 1970s. There are several MCDM-related organizations including the International Society on Multi-criteria Decision Making, Euro Working Group on MCDA, and INFORMS Section on MCDM. For a history see: Köksalan, Wallenius and Zionts (2011). MCDM draws upon knowledge in ma...
Multi-criteria decision analysis
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In mathematics, geometric calculus extends the geometric algebra to include differentiation and integration. The formalism is powerful and can be shown to encompass other mathematical theories including vector calculus, differential geometry, and differential forms.
Geometric calculus
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Gary Hatfield, in his "Was the Scientific Revolution Really a Revolution of Science? ", argues that while the "Scientific Revolution" of the 17th century did have several individual "revolutions", he does not consider the period to be a "scientific" revolution. Some of his reasons include science still being tied to me...
Continuity thesis
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In group theory, the symmetry group of a geometric object is the group of all transformations under which the object is invariant, endowed with the group operation of composition. Such a transformation is an invertible mapping of the ambient space which takes the object to itself, and which preserves all the relevant s...
Symmetry group
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degree in Geology in 1961. She earned an assistantship position at Pennsylvania State University, and she received a M.S. degree in 1963 and in 1966 earned a Ph.D.
Baerbel Lucchitta
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Pairs of octahedra can be fused in a way that preserves the octahedral coordination geometry by replacing terminal ligands with bridging ligands. Two motifs for fusing octahedra are common: edge-sharing and face-sharing. Edge- and face-shared bioctahedra have the formulas 2 and M2L6(μ-L)3, respectively. Polymeric versi...
Octahedral complex
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It is more fundamental to understand that p ≠ q {\displaystyle p\neq q} ensures d g ( p , q ) > 0 , {\displaystyle d_{g}(p,q)>0,} and hence that d g {\displaystyle d_{g}} satisfies all of the axioms of a metric. The observation that underlies the above proof, about comparison between lengths measured by g and Euclidean...
Riemann space
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A Bachelor of Software Engineering Honours is an undergraduate academic degree (Bachelor's Degree) awarded for completing a program of study in the field of software development for computers in information technology. "Software Engineering is the systematic development and application of techniques which lead to the ...
Bachelor of Software Engineering
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Physical optics (PO) is the name of a high frequency approximation (short-wavelength approximation) commonly used in optics, electrical engineering and applied physics. It is an intermediate method between geometric optics, which ignores wave effects, and full wave electromagnetism, which is a precise theory. The word ...
Antenna modeling
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