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95,100 | In mathematics, an effaceable functor is an additive functor F between abelian categories C and D for which, for each object A in C, there exists a monomorphism u: A → M {\displaystyle u:A\to M} , for some M, such that F ( u ) = 0 {\displaystyle F(u)=0} . Similarly, a coeffaceable functor is one for which, for each A, ... | Effaceable functor | 0.796805 |
95,101 | The CPT theorem implies that the difference between the properties of a matter particle and those of its antimatter counterpart is completely described by C-inversion. Since this C-inversion does not affect gravitational mass, the CPT theorem predicts that the gravitational mass of antimatter is the same as that of ord... | Gravitational interaction of antimatter | 0.796805 |
95,102 | An additional renovation to the building was completed in 2013, adding various upgrades including a computer lab, teleconference room, and a third floor Student Collaboration Center for study and work space. Components of the school's Department of Computer Science are housed in Sennott Square. The building is home to ... | University of Pittsburgh School of Computing and Information | 0.796804 |
95,103 | He was a key figure in the field of computational linguistics in France. At CNRS, he was a member of section 22 of the National Committee in 1963: "General Linguistics, Modern Languages and Comparative Literature", and then, in 1969, of section 28: "General Linguistics, Foreign Languages and Literature". Since 1965, he... | Bernard Vauquois | 0.796804 |
95,104 | CuPy is an open source library for GPU-accelerated computing with Python programming language, providing support for multi-dimensional arrays, sparse matrices, and a variety of numerical algorithms implemented on top of them. CuPy shares the same API set as NumPy and SciPy, allowing it to be a drop-in replacement to ru... | CuPy | 0.796804 |
95,105 | The community consensus was that her biography had to go. Wade told Chemistry World she believes such omissions of scientific researchers from coverage in Wikipedia are regrettable, stating her impression that it accepts entries for even the most obscure popular-media figures. By January 2020, there was a consensus to... | Jess Wade | 0.796804 |
95,106 | The field overlapped with artificial intelligence since the efforts in the United States in the 1950s to use computers to automatically translate texts from foreign languages, particularly Russian scientific journals, into English. Since rule-based approaches were able to make arithmetic (systematic) calculations much ... | Computational Linguistics | 0.796803 |
95,107 | Sulfur dioxide and nitrogen oxide can also be displaced onto vegetations through dry deposition.Sulfur dioxide and nitrous oxide concentration has many implication on aquatic ecosystems, including acidity change, increased nitrogen and aluminum content, and altering biogeochemical processes. Typically, sulfur dioxide a... | Biodiversity loss | 0.796803 |
95,108 | It is easier to rasterize a vector image than to vectorize a raster image; how to go about vectorizing a raster image is the focus of much research in the field of computer vision. Vector images can be modified more easily because they contain descriptions of the shapes for easy rearrangement. They are also scalable, b... | Image editing | 0.796802 |
95,109 | Being a serial technology, SPL is inherently slower than e.g. photolithography or nanoimprint lithography, while parallelization as required for mass-fabrication is considered a large systems engineering effort (see also Millipede memory). As for resolution, SPL methods bypass the optical diffraction limit due to their... | Scanning probe lithography | 0.796802 |
95,110 | (Medical school lasts four years plus a specialty-specific residency.) Training consists of classroom and laboratory instruction in medical and behavioral sciences, followed by clinical rotations in internal medicine, family medicine, surgery, pediatrics, obstetrics and gynecology, emergency medicine, and geriatric med... | Physician assistant | 0.796802 |
95,111 | In the mid-1960s, ion implantation was discovered, providing new opportunities for sample preparation. The rapid electronic development of the 1970s brought significant improvements in signal processing. From the 1980s to the present, PAC has emerged as an important method for the study and characterization of material... | Perturbed angular correlation | 0.796802 |
95,112 | This glossary of aerospace engineering terms pertains specifically to aerospace engineering, its sub-disciplines, and related fields including aviation and aeronautics. For a broad overview of engineering, see glossary of engineering. | Glossary of aerospace engineering | 0.796801 |
95,113 | Some polynomial sequences arise in physics and approximation theory as the solutions of certain ordinary differential equations: Laguerre polynomials Chebyshev polynomials Legendre polynomials Jacobi polynomialsOthers come from statistics: Hermite polynomialsMany are studied in algebra and combinatorics: Monomials Risi... | Polynomial sequence | 0.796801 |
95,114 | Then by the extreme value theorem, Φ {\displaystyle \Phi } attains its global minimum. The final step is to show that a minimum of Φ {\displaystyle \Phi } is indeed a Nash equilibrium. | Congestion game | 0.7968 |
95,115 | Let A {\displaystyle A} be a matrix with non-negative entries. Suppose the RSK algorithm maps A {\displaystyle A} to ( P , Q ) {\displaystyle (P,Q)} then the RSK algorithm maps A T {\displaystyle A^{T}} to ( Q , P ) {\displaystyle (Q,P)} , where A T {\displaystyle A^{T}} is the transpose of A {\displaystyle A} .In part... | Robinson–Schensted–Knuth correspondence | 0.7968 |
95,116 | The Tebbe reagent converts esters and lactones to enol ethers and amides to enamines. In compounds containing both ketone and ester groups, the ketone selectively reacts in the presence of one equivalent of the Tebbe reagent. The Tebbe reagent methylidenates carbonyls without racemizing a chiral α carbon. For this reas... | Tebbe's reagent | 0.7968 |
95,117 | SALOME is a multi-platform open source (LGPL-2.1-or-later) scientific computing environment, allowing the realization of industrial studies of physics simulations. This platform, developed by a partnership between EDF and CEA, sets up an environment for the various stages of a study to be carried out: from the creation... | Salome (software) | 0.7968 |
95,118 | Solar and wind are variable renewable energy sources that supply electricity intermittently depending on the weather and the time of day. Most electrical grids were constructed for non-intermittent energy sources such as coal-fired power plants. As larger amounts of solar and wind energy are integrated into the grid, c... | Electrification | 0.7968 |
95,119 | Iron(I) hydride, systematically named iron hydride and poly(hydridoiron) is a solid inorganic compound with the chemical formula (FeH)n (also written ()n or FeH). It is both thermodynamically and kinetically unstable toward decomposition at ambient temperature, and as such, little is known about its bulk properties. Ir... | Iron monohydride | 0.7968 |
95,120 | Computational neuroscience (also known as theoretical neuroscience or mathematical neuroscience) is the theoretical study of the nervous system. | Theoretical biologist | 0.796799 |
95,121 | De quinque corporibus regularibus (sometimes called Libellus de quinque corporibus regularibus) is a book on the geometry of polyhedra written in the 1480s or early 1490s by Italian painter and mathematician Piero della Francesca. It is a manuscript, in the Latin language; its title means on the five regular solids. I... | De quinque corporibus regularibus | 0.796798 |
95,122 | In materials science, a single crystal (or single-crystal solid or monocrystalline solid) is a material in which the crystal lattice of the entire sample is continuous and unbroken to the edges of the sample, with no grain boundaries. The absence of the defects associated with grain boundaries can give monocrystals uni... | Mono-crystalline silicon | 0.796798 |
95,123 | The Scopes trial had both short- and long-term effects in the teaching of science in schools in the United States. Though often portrayed as influencing public opinion against fundamentalism, the victory was not complete. Though the ACLU had taken on the trial as a cause, in the wake of Scopes' conviction they were una... | Scopes trial | 0.796798 |
95,124 | This form of "colonial" science has reverberations of 19th century scientific practices of treating non-Western participants as "others" in order to advance colonialism—and critics call for the end of these extractivist practices in order to decolonize knowledge.This kind of research approach reduces the quality of res... | Neo-colonial science | 0.796798 |
95,125 | Column stores or transposed files have been implemented from the early days of DBMS development. TAXIR was the first application of a column-oriented database storage system with focus on information-retrieval in biology in 1969. Clinical data from patient records with many more attributes than could be analyzed were p... | Column-oriented DBMS | 0.796798 |
95,126 | Intuitively, this means that every position of the configuration is updated by f using the same rule as every other position. A cellular automaton is defined by a rule for computing the new value of each position in a configuration based only on the values of cells in a prior-fixed finite neighborhood surrounding the p... | Curtis–Hedlund–Lyndon theorem | 0.796798 |
95,127 | Indeed, when analysts run across a non-Hausdorff space, it is still probably at least preregular, and then they simply replace it with its Kolmogorov quotient, which is Hausdorff.In contrast, non-preregular spaces are encountered much more frequently in abstract algebra and algebraic geometry, in particular as the Zari... | T2 space | 0.796798 |
95,128 | Other principles which are considered by researchers in social software include the concept that a procedure for fair division should be Pareto optimal, equitable and envy free. A procedure for auctions should be one which would encourage bidders to bid their actual valuation – a property which holds with the Vickrey a... | Social software (research field) | 0.796798 |
95,129 | Algebraic geometry, the study of curves, surfaces, and their generalizations, which are defined using polynomials. Topology, the study of properties that are kept under continuous deformations. Algebraic topology, the use in topology of algebraic methods, mainly homological algebra. | Mathematical research | 0.796797 |
95,130 | Sarah Hrdy first heard of langurs during an undergraduate primate behavior class taught by anthropologist Irven DeVore in 1968. DeVore commented on the relationship between crowding and the killing of infants in langur colonies. After graduation, Hrdy returned to Harvard for graduate studies, with the goal of better un... | Sarah Blaffer Hrdy | 0.796797 |
95,131 | Some types of mechanical failure mechanisms are: excessive deflection, buckling, ductile fracture, brittle fracture, impact, creep, relaxation, thermal shock, wear, corrosion, stress corrosion cracking, and various types of fatigue. Each produces a different type of fracture surface, and other indicators near the fract... | Failure cause | 0.796797 |
95,132 | in artificial intelligence in 1977. His master's thesis advisor was Patrick Winston and his doctoral thesis advisor was Gerald Sussman. He has noted that his doctoral diploma says the degree was awarded for "original research as demonstrated by a thesis in the field of Artificial Intelligence" and suggested that it may... | Scott Fahlman | 0.796797 |
95,133 | In 2008 Horst Martini and Margarita Spirova generalized the first of Clifford's circle theorems and other Euclidean geometry using affine geometry associated with the Cayley absolute: If the absolute contains a line, then one obtains a subfamily of affine Cayley-Klein geometries. If the absolute consists of a line f an... | Cayley-Klein metric | 0.796797 |
95,134 | Most of the studies held locally reported that cataract-surgical rate was lower in females. The higher cataract-surgery coverage found in some settings in South Africa, Libya, and Kenya suggest many barriers to surgery can be overcome.According to the International Agency for the Prevention of Blindness, some sub-Sahar... | Posterior capsular opacification | 0.796796 |
95,135 | Examples of educational toys include: Building toys, such as toy blocks Automoblox wooden construction cars Scale models Chemistry sets Construction toys Erector Set Lego Meccano Electronic toys (see also: Electronic kit) Speak & Spell, Speak & Read, and Speak & Math Snap Circuits Many VTech and LeapFrog products Micro... | Educational toy | 0.796796 |
95,136 | Le was born in Hương Thủy in the Thừa Thiên Huế province of Vietnam. He studied at Quốc Học Huế High School. In 2004, Le moved to Australia and attended Australian National University for Bachelor's program, during which he worked under Alex Smola on Kernel method in machine learning. | Lê Viết Quốc | 0.796796 |
95,137 | The genome of filamentous T. inflatum contains a 12-gene cluster associated with a repetitive element. Efrapeptins are mitochondrial and prokaryotic ATPase inhibitors that also have insecticidal and antifungal properties. Little is known about the role of these metabolites in the ecology of the fungus. In 2011, Linn an... | Tolypocladium inflatum | 0.796796 |
95,138 | In the geometry of hyperbolic 5-space, the order-4 24-cell honeycomb honeycomb is one of five paracompact regular space-filling tessellations (or honeycombs). It is called paracompact because it has infinite vertex figures, with all vertices as ideal points at infinity. With Schläfli symbol {3,4,3,3,4}, it has four 24-... | Order-4 24-cell honeycomb honeycomb | 0.796796 |
95,139 | The term fractone is derived from fractal, a term coined by Benoît Mandelbrot in 1975. Fractones were discovered in 2002 in the extracellular matrix niche of the subventricular zone of the lateral ventricule (SVZa) in a mouse brain. Originally found in the neurogenic areas of the brain, recent studies indicate that fra... | Fractone | 0.796796 |
95,140 | In slightly more detail: The CycL representation language started as an extension of RLL (the so-called Representation Language Language, developed in 1979–1980 by Lenat and his graduate student Russell Greiner while at Stanford University), but within a few years of the launch of the Cyc project it became clear that e... | Cyc | 0.796796 |
95,141 | The nerve complex N ( C ) {\displaystyle N(C)} is a simple combinatorial object. Often, it is much simpler than the underlying topological space (the union of the sets in C {\displaystyle C} ). Therefore, a natural question is whether the topology of N ( C ) {\displaystyle N(C)} is equivalent to the topology of ⋃ C {\d... | Nerve theorem | 0.796795 |
95,142 | By 2008, S2 had been observed for one complete orbit. In 2020, partway through its next orbit, the GRAVITY collaboration released an analysis showing full agreement with Schwarzschild geodesics.A team of astronomers, mainly from the Max Planck Institute for Extraterrestrial Physics, used observations of S2's orbital dy... | S2 (star) | 0.796795 |
95,143 | If X is a CW complex, it is even a topological group. In order to equip this group with a topology, Dold and Thom initially introduced it as the following quotient over the infinite symmetric product of the wedge sum of X with a copy of itself: Let τ: X ∨ X → X ∨ X be interchanging the summands. Furthermore, let ~ be t... | Infinite symmetric product | 0.796794 |
95,144 | Simplexity is a neologism which proposes a possible complementary relationship between complexity and simplicity. One of the first formally published instances of the word was in the journal 'Childhood Education' (1924), in the article it appears to be used to discuss education and psychology related issues.Simplexity ... | Simplexity | 0.796794 |
95,145 | In some ways, this problem could be compounded if life forms from one planet were introduced into the totally alien ecology of another world.The prime concern of hardware contaminating Mars derives from incomplete spacecraft sterilization of some hardy terrestrial bacteria (extremophiles) despite best efforts. Hardware... | Life on Mars | 0.796794 |
95,146 | Axel Dieter Becke (born June 10, 1953) is a physical chemist and Professor of Chemistry at Dalhousie University, Canada. He is a leading researcher in the application of density functional theory (DFT) to molecules. | Axel D. Becke | 0.796794 |
95,147 | Thus an almost isotropic cosmic microwave temperature does not imply an almost isotropic universe. Using the methods of Wainwright et al. Ho Lee, Ernesto Nungesser and John Stalker could show that they can be applied to Vlasov as well, which was the original matter model of the EGS-theorem. == References == | Ehlers–Geren–Sachs theorem | 0.796794 |
95,148 | A solution is isotonic when its effective osmole concentration is the same as that of another solution. In biology, the solutions on either side of a cell membrane are isotonic if the concentration of solutes outside the cell is equal to the concentration of solutes inside the cell. In this case the cell neither swells... | Hypertonic solution | 0.796793 |
95,149 | Researchers at Andersen Consulting incorporated work from the University of Illinois on graph theory to automatically update the various views associated with the knowledge base and to generate graphs that have minimal intersection of links and also take into account domain and user specific layout constraints. Another... | Knowledge Based Software Assistant | 0.796793 |
95,150 | In synthetic chemistry, the longest linear sequence, commonly abbreviated as LLS, is the largest number of reactions required to go from the starting materials to the products in a multistep sequence.This concept is very important when trying to optimize a synthetic plan. Since every reaction step can decrease the yiel... | Longest linear sequence | 0.796793 |
95,151 | Schrödinger addressed the problems of genetics, looking at the phenomenon of life from the point of view of physics. He also paid great attention to the philosophical aspects of science, ancient, and oriental philosophical concepts, ethics, and religion. He also wrote on philosophy and theoretical biology. | Erwin Schrödinger | 0.796793 |
95,152 | The most widely accepted explanation for the origin of this effect is a favorable interaction between the π systems of the dienophile and the diene, an interaction described as a secondary orbital effect, though dipolar and van der Waals attractions may play a part as well, and solvent can sometimes make a substantial ... | Diels-Alder Reaction | 0.796793 |
95,153 | Soil ecology is the study of the interactions among soil organisms, and between biotic and abiotic aspects of the soil environment. It is particularly concerned with the cycling of nutrients, formation and stabilization of the pore structure, the spread and vitality of pathogens, and the biodiversity of this rich biolo... | Soil ecosystem | 0.796792 |
95,154 | To wit, there is a category of connective spaces consisting of sets with collections of connected subsets satisfying connectivity axioms; their morphisms are those functions which map connected sets to connected sets (Muscat & Buhagiar 2006). Topological spaces and graphs are special cases of connective spaces; indeed,... | Arc connected | 0.796792 |
95,155 | Colleagues in the astronomy department at the University of California, Berkeley, remember fondly his visit there in the 1970s. Well known for his Intelligent Life in the Universe, he was asked by a graduate student if UFO sightings are as common in the Soviet Union as in the United States. "No," he replied. "In this a... | Iosif Shklovsky | 0.796792 |
95,156 | In geometry, the elongated triangular bipyramid (or dipyramid) or triakis triangular prism is one of the Johnson solids (J14), convex polyhedra whose faces are regular polygons. As the name suggests, it can be constructed by elongating a triangular bipyramid (J12) by inserting a triangular prism between its congruent h... | Elongated triangular bipyramid | 0.796792 |
95,157 | Additionally, if atmospheric carbon dioxide reaches 800 ppm, the ocean surface water pH decrease will be 0.4 units and total dissolved carbonate ion concentration will have decreased by at least 60%. Recent estimates state that with business-as-usual emission levels, the atmospheric carbon dioxide could reach 800 ppm b... | Ocean acidification in the Great Barrier Reef | 0.796792 |
95,158 | Matter that remained following the initial expansion has since undergone gravitational collapse to create stars, galaxies and other astronomical objects, leaving behind a deep vacuum that forms what is now called outer space. As light has a finite velocity, this theory constrains the size of the directly observable uni... | Cis-lunar space | 0.796792 |
95,159 | In the book Scheer discusses that for the past two hundred years industrial civilization has relied predominantly upon fossil fuels, which are abundant and cheap but also have adverse social and environmental effects. Scheer argues that it would be more beneficial if they transition to renewable energy and distributed,... | Energy Autonomy | 0.796791 |
95,160 | The electrons in the beam interact with atoms in the specimen and interactions are detected using detectors. The interactions produced are back scattering of electrons, transmission of electrons, secondary electrons etc. To remove high angle electrons magnetics lenses are used. The instruments mentioned above produce r... | Nanometrology | 0.796791 |
95,161 | Head joint geometry appears particularly critical to acoustic performance and tone, but there is no clear consensus on a particular shape amongst manufacturers. Acoustic impedance of the embouchure hole appears to be the most critical parameter. Critical variables affecting this acoustic impedance include: chimney leng... | Western concert flute | 0.79679 |
95,162 | Division of Agricultural Extension Division of Agricultural Statistics Division of Agricultural Economics | Regional Agricultural Research Station, Pattambi | 0.79679 |
95,163 | Overcompleteness is a concept from linear algebra that is widely used in mathematics, computer science, engineering, and statistics (usually in the form of overcomplete frames). It was introduced by R. J. Duffin and A. C. Schaeffer in 1952.Formally, a subset of the vectors { ϕ i } i ∈ J {\displaystyle \{\phi _{i}\}_{i\... | Overcompleteness | 0.79679 |
95,164 | Boston University's student-run "Rocket Propulsion Group", which in the past has launched only solid motor rockets, is attempting to design and build a single-stage hybrid sounding rocket to launch into sub-orbital space by July 2015.Brigham Young University (BYU), the University of Utah, and Utah State University laun... | Hybrid-propellant rocket | 0.79679 |
95,165 | Because of the importance of nanotechnology in the future, countries around the world have programmes to establish national standards for nanometrology and nanotechnology. These programmes are run by the national standard agencies of the respective countries. In the United States, National Institute of Standards and Te... | Nanometrology | 0.796789 |
95,166 | The Gibbard–Satterthwaite theorem can be proved based on Arrow's impossibility theorem, which deals with social ranking functions, i.e. voting systems designed to yield a complete preference order of the candidates, rather than simply choosing a winner. We give a sketch of proof in the simplified case where the voting ... | Gibbard–Satterthwaite theorem | 0.796789 |
95,167 | Both acoustic modeling and language modeling are important parts of modern statistically based speech recognition algorithms. Hidden Markov models (HMMs) are widely used in many systems. Language modeling is also used in many other natural language processing applications such as document classification or statistical ... | Speech recognizer | 0.796789 |
95,168 | Immunohistochemistry can also be used for a more general protein profiling, provided the availability of antibodies validated for immunohistochemistry. The Human Protein Atlas displays a map of protein expression in normal human organs and tissues. The combination of immunohistochemistry and tissue microarrays provides... | Immunohistochemical staining | 0.796789 |
95,169 | This point must be equidistant from the vertices of the triangle.) This circle is called the circumcircle of the triangle. One way of formulating Thales's theorem is: if the center of a triangle's circumcircle lies on the triangle then the triangle is right, and the center of its circumcircle lies on its hypotenuse. Th... | Thales theorem | 0.796789 |
95,170 | doi:10.1090/s1061-0022-04-00848-9. MR 2069485. with Stephen J. Gustafson: Mathematical concepts of quantum mechanics (2nd ed.). Springer Verlag. 2011. | Israel Michael Sigal | 0.796789 |
95,171 | Advanced industrial robots, also known as smart machines, operate autonomously and can communicate directly with manufacturing systems. In some advanced manufacturing contexts, they can work with humans for co-assembly tasks. By evaluating sensory input and distinguishing between different product configurations, these... | Smart manufacturing | 0.796789 |
95,172 | Several organizations, publishers, and initiatives have taken a lead in furthering open textbook publishing, particularly in North America. In early 2011, Connexions announced a series of two grants that would allow the platform to produce a total of 20 open textbooks ultimately distributed as the OpenStax collection. ... | Open textbook | 0.796789 |
95,173 | This view is usually blocked by TIR at the cornea-air interface. The gonioscope replaces the air with a higher-index medium, allowing transmission at oblique incidence, typically followed by reflection in a "mirror", which itself may be implemented using TIR.Some multi-touch interactive tables and whiteboards utilise F... | Total reflection | 0.796788 |
95,174 | Curry's paradox may be expressed in untyped lambda calculus, enriched by restricted minimal logic. To cope with the lambda calculus's syntactic restrictions, m {\displaystyle m} shall denote the implication function taking two parameters, that is, the lambda term ( ( m A ) B ) {\displaystyle ((mA)B)} shall be equivalen... | Curry's paradox | 0.796788 |
95,175 | A medical test is a medical procedure performed to detect, diagnose, or monitor diseases, disease processes, susceptibility, or to determine a course of treatment. Medical tests such as, physical and visual exams, diagnostic imaging, genetic testing, chemical and cellular analysis, relating to clinical chemistry and mo... | In vitro diagnostics | 0.796788 |
95,176 | Wegrzyn earned a Bachelor of Science and PhD in applied biology from Georgia Tech. | Renee Wegrzyn | 0.796788 |
95,177 | To train in the add-on specialty of gynecologic oncology a physician must first be a specialist in obstetrics and gynecology or oncology. | Residency (medicine) | 0.796788 |
95,178 | In the late 1890s Hilbert successfully axiomatized geometry. Then he went on to successfully (or so Hilbert thought) use the Cantorian-inspired notion of the completed infinity to produce elegant, radically abbreviated proofs in analysis (1896 and afterwards). In his own words of defense Hilbert believed himself quite ... | Brouwer–Hilbert controversy | 0.796788 |
95,179 | AutoCAD LT 2015 introduced Desktop Subscription service from $360 per year; as of 2018, three subscription plans were available, from $50 a month to a 3-year, $1170 license. While there are hundreds of small differences between the full AutoCAD package and AutoCAD LT, there are a few recognized major differences in the... | AutoCAD | 0.796788 |
95,180 | In computer vision, visual descriptors or image descriptors are descriptions of the visual features of the contents in images, videos, or algorithms or applications that produce such descriptions. They describe elementary characteristics such as the shape, the color, the texture or the motion, among others. | Feature descriptor | 0.796788 |
95,181 | of 2016, and other notable ones were by Joshua Kroll and Mireille Hildebrandt.Another 2016 paper, this one published by Katarinou et al., includes remarks on a right of appeal such that "individuals would have a right to appeal to a machine against a decision made by a human. "A third 2016 paper, one co-authored by Mit... | Data portability | 0.796787 |
95,182 | At higher orders in the series infinities emerged, making such computations meaningless and casting serious doubts on the internal consistency of the theory itself. With no solution for this problem known at the time, it appeared that a fundamental incompatibility existed between special relativity and quantum mechanic... | History of electromagnetic theory | 0.796787 |
95,183 | When H is a subgroup of finite index in G, then the group ring R is finitely generated projective as a left and right R module, so the previous theorem applies in a simple way. Let M be a finite-dimensional representation of G and N a finite-dimensional representation of H. In this case, the module S ⊗R N is called the... | Shapiro's lemma | 0.796787 |
95,184 | The Moore School of Electrical Engineering at the University of Pennsylvania came into existence as a result of an endowment from Alfred Fitler Moore on June 4, 1923. It was granted to Penn's School of Electrical Engineering, located in the Towne Building. The first dean of the Moore School was Harold Pender. The Moore... | Moore School of Electrical Engineering | 0.796787 |
95,185 | In the 20th century, the trapping (confinement) of a particle in some region by its observation outside the region was considered as nonsensical, indicating some non-completeness of quantum mechanics. Even as late as 2001, confinement by absorption was considered as a paradox. Later, similar effects of the suppression ... | Quantum Zeno effect | 0.796786 |
95,186 | Consider a monochromatic point source at P0, which illuminates an aperture in a screen. The intensity of the wave emitted by a point source falls off as the inverse square of the distance traveled, so the amplitude falls off as the inverse of the distance. The complex amplitude of the disturbance at a distance r {\disp... | Kirchhoff's diffraction formula | 0.796786 |
95,187 | At the level of the Lie algebra, this corresponds to what is called q-deforming the Lie algebra, and the parameter q is related to the value of the cosmological constant. The effect of replacing a Lie algebra by a q-deformed version is that the series of its representations is truncated (in the case of the rotation gro... | Lorentz invariance in loop quantum gravity | 0.796785 |
95,188 | The polyol process is a particularly useful method because it yields a high degree of control over both the size and geometry of the resulting nanoparticles. In general, the polyol synthesis begins with the heating of a polyol compound such as ethylene glycol, 1,5-pentanediol, or 1,2-propylene glycol7. An Ag+ species a... | Silver nanoparticle | 0.796785 |
95,189 | It can be obtained from the mean value theorem by choosing f ( x ) = x ⋅ ln x {\displaystyle f(x)=x\cdot \ln x} . S 2 ( x , y ) {\displaystyle S_{2}(x,y)} is the arithmetic mean. S 3 ( x , y ) = Q M ( x , y , G M ( x , y ) ) {\displaystyle S_{3}(x,y)=QM(x,y,GM(x,y))} is a connection to the quadratic mean and the geom... | Stolarsky mean | 0.796785 |
95,190 | In geometry, the great snub dodecicosidodecahedron (or great snub dodekicosidodecahedron) is a nonconvex uniform polyhedron, indexed as U64. It has 104 faces (80 triangles and 24 pentagrams), 180 edges, and 60 vertices. It has Coxeter diagram . It has the unusual feature that its 24 pentagram faces occur in 12 coplanar... | Great snub dodecicosidodecahedron | 0.796785 |
95,191 | The Chemical Invention Factory (CIF, John Warner Center for Start-ups in Green Chemistry) is a project initiated at the TU Berlin that aims to encourage young scientists to found their own start-ups. The Chemical Invention Factory supports research in the fields of green chemistry, materials, and nanotechnology. In a p... | Unifying Systems in Catalysis | 0.796785 |
95,192 | Consider, for example, the rotation group SO(3), which is not simply connected. There is one irreducible representation of the Lie algebra in each dimension, but only the odd-dimensional representations of the Lie algebra come from representations of the group. (This observation is related to the distinction between in... | Lie correspondence | 0.796785 |
95,193 | This was followed by publication in the International Joint Conference on Artificial Intelligence IJCAI-89.Koza followed this with 205 publications on “Genetic Programming” (GP), name coined by David Goldberg, also a PhD student of John Holland. However, it is the series of 4 books by Koza, starting in 1992 with accomp... | Genetic Programming | 0.796785 |
95,194 | Currently there are eight departments: Civil Department Electrical Department Computer Science Department Textile Department Apparel Manufacturing Department Telecommunication Department Architecture and Interior Design Department Graphic Design | Daffodil Polytechnic Institute | 0.796785 |
95,195 | Quantum electronics permitted both revolutionary new methods of analyzing the universe and—using the same equipment and technology—the monitoring of Soviet electronic signals.Military interest in (and funding of) seismology, meteorology and oceanography was in some ways a result of the defense-related payoffs of physic... | History of military technology | 0.796785 |
95,196 | Nina Tandon attended college at Cooper Union, graduating with a Bachelor of Electrical Engineering in 2001. While completing her undergraduate education, she built an electronic musical instrument which is played through human bodies' electromagnetic waves. From 2003 to 2004, Tandon attended University of Rome Tor Verg... | Nina Tandon | 0.796785 |
95,197 | For many PDEs, such as the wave equation, Helmholtz equation and Schrodinger equation, the applicability of separation of variables is a result of the spectral theorem. In some cases, separation of variables may not be possible. Separation of variables may be possible in some coordinate systems but not others, and whic... | Separable differential equation | 0.796785 |
95,198 | Way-below relation Continuous poset Continuous lattice Algebraic poset Scott domain Algebraic lattice Scott information system Powerdomain Scott topology Scott continuity | List of order theory topics | 0.796785 |
95,199 | Banach's fixed-point theorem implies that, when fixed-point iteration is applied to a contraction mapping, the error after t iterations is in O ( L t ) {\displaystyle O(L^{t})} . Therefore, the number of evaluations required for a δ-relative fixed-point is approximately log L ( δ ) = log ( δ ) / log ( L ) = log ... | Fixed-point computation | 0.796784 |
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