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91,400 | Bochner's theorem in the special case of the discrete group Z is often referred to as Herglotz's theorem (see Herglotz representation theorem) and says that a function f on Z with f(0) = 1 is positive-definite if and only if there exists a probability measure μ on the circle T such that f ( k ) = ∫ T e − 2 π i k x d μ ... | Bochner theorem | 0.780569 |
91,401 | Infomax is an optimization principle for artificial neural networks and other information processing systems. It prescribes that a function that maps a set of input values I to a set of output values O should be chosen or learned so as to maximize the average Shannon mutual information between I and O, subject to a set... | Infomax | 0.780569 |
91,402 | Gestigon has partnered with several companies that develop hardware solutions, especially depth sensors, to provide sensing solutions. In 2015, Gestigon partnered with Inuitive, a 3D computer vision and image processors developer, to create a VR unit. | Gestigon | 0.780569 |
91,403 | Silicon already shows some incipient metallic behavior, particularly in the behavior of its oxide compounds and its reaction with acids as well as bases (though this takes some effort), and is hence often referred to as a metalloid rather than a nonmetal. However, metallicity does not become clear in group 14 until ger... | Silicon Age | 0.780569 |
91,404 | As a result, the chemistry of silicon and its heavier congeners shows significant differences from that of carbon, and thus octahedral coordination is also significant. For example, the electronegativity of silicon (1.90) is much less than that of carbon (2.55), because the valence electrons of silicon are further from... | Silicon Age | 0.780569 |
91,405 | : 13 This happens due to silicon's high binding forces for the light elements and to its high dissolving power for most elements. : 13 As a result, containers for liquid silicon must be made of refractory, unreactive materials such as zirconium dioxide or group 4, 5, and 6 borides.Tetrahedral coordination is a major st... | Silicon Age | 0.780569 |
91,406 | Silicaceous plant defense molecules activate some phytoalexins, meaning some of them are signalling substances producing acquired immunity. When deprived, some plants will substitute with increased production of other defensive substances.Life on Earth is largely composed of carbon, but astrobiology considers that extr... | Silicon Age | 0.780569 |
91,407 | Speculation on silicon hydride chemistry started in the 1830s, contemporary with the development of synthetic organic chemistry. Silane itself, as well as trichlorosilane, were first synthesised by Friedrich Wöhler and Heinrich Buff in 1857 by reacting aluminium–silicon alloys with hydrochloric acid, and characterised ... | Silicon Age | 0.780569 |
91,408 | Small lead-cooled fast reactors were used for naval propulsion, particularly by the Soviet Navy. BR-5 - was a research-focused fast-neutron reactor at the Institute of Physics and Energy in Obninsk from 1959-2002. BN-350 was constructed by the Soviet Union in Shevchenko (today's Aqtau) on the Caspian Sea, It produced 1... | Fast neutron reactor | 0.780568 |
91,409 | MEMS sensor generations represent the progress made in micro sensor technology and can be categorized as follows: 1st Generation MEMS sensor element mostly based on a silicon structure, sometimes combined with analog amplification on a micro chip.2nd Generation MEMS sensor element combined with analog amplification and... | MEMS sensor generations | 0.780568 |
91,410 | Richard Stallman founded the GNU Project in September 1983 with an aim to create a free GNU operating system. Initially the components required for kernel development were written: editors, shell, compiler, debugger etc. By 1989, the GNU GPL came into being and the only major component missing was the kernel.Developmen... | GNU Hurd | 0.780568 |
91,411 | One can also define the category of bimodules over a ring R but that category is equivalent to the category of left (or right) modules over the enveloping algebra of R (or over the opposite of that). Note: Some authors use the term module category for the category of modules. This term can be ambiguous since it could a... | Category of modules | 0.780567 |
91,412 | In algebra, given a ring R, the category of left modules over R is the category whose objects are all left modules over R and whose morphisms are all module homomorphisms between left R-modules. For example, when R is the ring of integers Z, it is the same thing as the category of abelian groups. The category of right ... | Category of modules | 0.780567 |
91,413 | The category K-Vect (some authors use VectK) has all vector spaces over a field K as objects, and K-linear maps as morphisms. Since vector spaces over K (as a field) are the same thing as modules over the ring K, K-Vect is a special case of R-Mod (some authors use ModR), the category of left R-modules. Much of linear a... | Category of modules | 0.780567 |
91,414 | The categories of left and right modules are abelian categories. These categories have enough projectives and enough injectives. Mitchell's embedding theorem states every abelian category arises as a full subcategory of the category of modules of some ring. Projective limits and inductive limits exist in the categories... | Category of modules | 0.780567 |
91,415 | Civil Engineering and Nautics. Science and Civilisation in China. Vol. | Lu Gwei-Djen Prize for the History of Science | 0.780566 |
91,416 | Lu began her distinguished career teaching biochemistry at the Women's Medical College in Shanghai between 1928 and 1930, then moved to teach at the medical school at St. John's University, Shanghai, between 1930 and 1933. She then took up a post as research assistant at the Henry Lester Institute for Medical Research,... | Lu Gwei-Djen Prize for the History of Science | 0.780566 |
91,417 | It involved three French universities (Université de Rouen Normandie, Université de Rennes 1, Université Paris-Est Marne-la-Vallée). Digitalization and social-ecological transformation: rebound risks and potential for sufficiency of digital services – IÖW / TU Berlin (2016-2022)This project examined the social and envi... | Eco-sufficiency | 0.780565 |
91,418 | Funded by Innoviris (Research administration of the Brussels Region, 2020-2023) Sufficiency in the building sector (2022-2023)The project identifies sufficiency approaches in the building sector and political-legal measures for their strategic anchoring and support, with which potential for reducing greenhouse gas emis... | Eco-sufficiency | 0.780565 |
91,419 | Integrating energy sufficiency into modelling of sustainable energy scenarios (2020-2022)The IntSuf project aimed at integrating knowledge about the social dynamics of energy consumption into energy modelling tools in order to develop sustainable energy scenarios that will be more useful in policy making. The project i... | Eco-sufficiency | 0.780565 |
91,420 | In molecular biology, trimeric autotransporter adhesins (TAAs), are proteins found on the outer membrane of Gram-negative bacteria. Bacteria use TAAs in order to infect their host cells via a process called cell adhesion. TAAs also go by another name, oligomeric coiled-coil adhesins, which is shortened to OCAs. In esse... | Trimeric autotransporter adhesin | 0.780564 |
91,421 | In organic chemistry, diazirines are a class of organic molecules consisting of a carbon bound to two nitrogen atoms, which are double-bonded to each other, forming a cyclopropene-like ring, 3H-diazirene (>CN2). They are isomeric with diazocarbon groups (>C=N=N), and like them can serve as precursors for carbenes by lo... | Diazirine | 0.780562 |
91,422 | There is an analogy between the Mayer–Vietoris sequence (especially for homology groups of dimension 1) and the Seifert–van Kampen theorem. Whenever A ∩ B {\displaystyle A\cap B} is path-connected, the reduced Mayer–Vietoris sequence yields the isomorphism H 1 ( X ) ≅ ( H 1 ( A ) ⊕ H 1 ( B ) ) / Ker ( k ∗ − l ∗ ) {\dis... | Mayer–Vietoris sequence | 0.780562 |
91,423 | Because the (co)homology of most spaces cannot be computed directly from their definitions, one uses tools such as the Mayer–Vietoris sequence in the hope of obtaining partial information. Many spaces encountered in topology are constructed by piecing together very simple patches. Carefully choosing the two covering su... | Mayer–Vietoris sequence | 0.780562 |
91,424 | In mathematics, particularly algebraic topology and homology theory, the Mayer–Vietoris sequence is an algebraic tool to help compute algebraic invariants of topological spaces, known as their homology and cohomology groups. The result is due to two Austrian mathematicians, Walther Mayer and Leopold Vietoris. The metho... | Mayer–Vietoris sequence | 0.780562 |
91,425 | Between 1917 and 1922, it became clear from work by Heber Curtis, Ernst Öpik and others that some objects ("nebulae") seen by astronomers were in fact distant galaxies like the Milky Way. But when radio astronomy began in the 1950s, astronomers detected, among the galaxies, a small number of anomalous objects with prop... | Quasar | 0.780561 |
91,426 | Later it was found that not all quasars have strong radio emission; in fact only about 10% are "radio-loud". Hence the name "QSO" (quasi-stellar object) is used (in addition to "quasar") to refer to these objects, further categorised into the "radio-loud" and the "radio-quiet" classes. The discovery of the quasar had l... | Quasar | 0.780561 |
91,427 | Nepetalactone is a bicyclic monoterpene produced through the terpenoid pathway in the genus Nepeta using its starting compound, geranyl pyrophosphate (GPP). There are three isomers of nepetalactone and it is suggested their stereochemistry is produced using different enzymes. Geranyl pyrophosphate undergoes hydrolysis ... | Nepetalactone | 0.78056 |
91,428 | Nepetalactone has three chiral centers, two at the fusion of the two rings, and one where the methyl group attaches to the cyclopentane ring. Thus, it has eight (23) stereoisomers. The terms cis and trans are used to refer to the relative stereochemistry at the ring fusion, and also to the methyl group as compared to t... | Nepetalactone | 0.78056 |
91,429 | Mo(CO)6 adopts an octahedral geometry consisting of six rod-like CO ligands radiating from the central Mo atom. A recurring minor debate in some chemical circles concerns the definition of an "organometallic" compound. Usually, organometallic indicates the presence of a metal directly bonded via a M–C bond to an organi... | Molybdenum hexacarbonyl | 0.78056 |
91,430 | In 2020, an analysis by Gaya Herrington, then Director of Sustainability Services of KPMG US, was published in Yale University's Journal of Industrial Ecology. The study assessed whether, given key data known in 2020 about factors important for the "Limits to Growth" report, the original report's conclusions are suppor... | The Limits to Growth | 0.780559 |
91,431 | LTG provoked a wide range of responses, including immediate criticisms almost as soon as it was published.Peter Passell and two co-authors published a 2 April 1972 article in the New York Times describing LTG as "an empty and misleading work ... best summarized ... as a rediscovery of the oldest maxim of computer scien... | The Limits to Growth | 0.780559 |
91,432 | The carbon atoms in this form are each linear in geometry with sp orbital hybridisation. The estimated length of the bonds is 120.7 pm (triple) and 137.9 pm (single).Other possible configurations for a chain of carbon atoms include polycumulene (polyethylene-diylidene) chains with double bonds only (128.2 pm). This cha... | Linear acetylenic carbon | 0.780558 |
91,433 | Linear acetylenic carbon (LAC), also known as carbyne or Linear Carbon Chain (LCC), is an allotrope of carbon that has the chemical structure (−C≡C−)n as a repeat unit, with alternating single and triple bonds. It would thus be the ultimate member of the polyyne family. This polymeric carbyne is of considerable interes... | Linear acetylenic carbon | 0.780558 |
91,434 | If A is a group algebra L 1 ( G ) {\displaystyle L^{1}(G)} for some locally compact group G then A is amenable if and only if G is amenable. If A is a C*-algebra then A is amenable if and only if it is nuclear. If A is a uniform algebra on a compact Hausdorff space then A is amenable if and only if it is trivial (i.e. ... | Amenable Banach algebra | 0.780556 |
91,435 | In mathematics, specifically in functional analysis, a Banach algebra, A, is amenable if all bounded derivations from A into dual Banach A-bimodules are inner (that is of the form a ↦ a . x − x . a {\displaystyle a\mapsto a.x-x.a} for some x {\displaystyle x} in the dual module). An equivalent characterization is that ... | Amenable Banach algebra | 0.780556 |
91,436 | In mathematics, a global field is one of two types of fields (the other one is local field) which are characterized using valuations. There are two kinds of global fields: Algebraic number field: A finite extension of Q {\displaystyle \mathbb {Q} } Global function field: The function field of an algebraic curve over a ... | Global field | 0.780555 |
91,437 | The bacterial sroD RNA gene is a non-coding RNA of 90 nucleotides in length. sroD is found in several Enterobacterial species but its function is unknown.SroE and SroH were identified in the same bioinformatics search. | SroD RNA | 0.780555 |
91,438 | The Hasse–Minkowski theorem is a fundamental result in number theory which states that two quadratic forms over a global field are equivalent if and only if they are equivalent locally at all places, i.e. equivalent over every completion of the field. | Global field | 0.780555 |
91,439 | While reviewing the Sega Genesis version, Computer and Video Games described the graphics as inferior to other titles on the console. Raze Magazine felt that it lacked the polish and depth of the original PC version, criticizing the sprites and environments, while still offering praise for the detailed portraits.The ye... | Star Control | 0.780553 |
91,440 | Italian publication The Games Machine celebrated Star Control as a modern re-invention of Spacewar!, recommending the combat mode for its range of options, its automatic camera zoom, and its implementation of physics. Entertainment Weekly also recommended the game for evolving the Spacewar! formula with a variety of un... | Star Control | 0.780553 |
91,441 | The player can also assign the game's artificial intelligence to take over the strategy gameplay, the combat gameplay, or both.The strategy campaign consists of several selectable scenarios, with nine missions on home computers, and fifteen on the Sega Genesis. Each turn-based strategy mission begins with opposing flee... | Star Control | 0.780553 |
91,442 | AdaControl is a free (GMGPL) tool that detects the use of various kinds of constructs in Ada programs. Its uses include checking of coding standards, exploring the use of Ada features, making statistics, and more. It exploits all the power of ASIS, and can be considered as the most typical ASIS application. | Ada Semantic Interface Specification | 0.780552 |
91,443 | ASIS also has the ability in utilizing the relevant software engineering tools whilst also embodying an easy understanding of the complexities of an Ada environment display. In addition, it provides procedures, functions and relevant information that can be significantly used to access exclusive information found in re... | Ada Semantic Interface Specification | 0.780552 |
91,444 | The Ada Semantic Interface Specification (ASIS) is a layered, open architecture providing vendor-independent access to the Ada Library Environment. It allows for the static analysis of Ada programs and libraries. It is an open, published interface library that consists of the Ada environment and their tools and applica... | Ada Semantic Interface Specification | 0.780552 |
91,445 | Neurology (from Greek: νεῦρον (neûron), "string, nerve" and the suffix -logia, "study of") is the branch of medicine dealing with the diagnosis and treatment of all categories of conditions and disease involving the nervous system, which comprises the brain, the spinal cord and the peripheral nerves. Neurological pract... | Clinical neurology | 0.780551 |
91,446 | Working in laboratories in universities, hospitals, and private companies, these neuroscientists perform clinical and laboratory experiments and tests to learn more about the nervous system and find cures or new treatments for diseases and disorders. A great deal of overlap occurs between neuroscience and neurology. Ma... | Clinical neurology | 0.780551 |
91,447 | Sleep medicine is a subspecialty field in the US under several medical specialties including anesthesiology, internal medicine, family medicine, and neurology. Neurosurgery is a distinct specialty that involves a different training path, and emphasizes the surgical treatment of neurological disorders. Also, many nonmed... | Clinical neurology | 0.780551 |
91,448 | Significant projects undertaken by the ADS in the UK include: The OASIS project (Online AccesS to the Index of archaeological investigationS) funded by English Heritage and Historic Scotland, this project is being expanded to include a C14 extension in collaboration with Historic Scotland and the RCAHMS. England's Rock... | Archaeology Data Service | 0.78055 |
91,449 | A bigraph can be modelled as the superposition of a graph (the link graph) and a set of trees (the place graph).Each node of the bigraph is part of a graph and also part of some tree that describes how the nodes are nested. Bigraphs can be conveniently and formally displayed as diagrams. They have applications in the m... | Bigraph | 0.78055 |
91,450 | Combustion is most frequently used for practical rockets, as the laws of thermodynamics (specifically Carnot's theorem) dictate that high temperatures and pressures are desirable for the best thermal efficiency. Nuclear thermal rockets are capable of higher efficiencies, but currently have environmental problems which ... | Rocket engine throttling | 0.780549 |
91,451 | SunLink Corporation is a privately owned company headquartered in Mill Valley, California that manufactures renewable energy products. SunLink's Warehouse and Training Center is located in San Leandro, California. Product design, testing and fabrication take place in California. Manufacturing is done in the United Stat... | SunLink | 0.780548 |
91,452 | Simcenter Amesim is a multi-domain software that supports modeling a variety of physics domains (hydraulic, pneumatic, mechanic, electrical, thermal, electromechanical). It is based on the Bond graph theory. Under the Windows platform, Simcenter Amesim works with the free Gcc compiler, which is provided with the softwa... | Simcenter Amesim | 0.780547 |
91,453 | Compared to 3D CAE modeling this approach gives the capability to simulate the behavior of systems before detailed CAD geometry is available, hence it is used earlier in the system design cycle or V-Model. To create a simulation model for a system, a set of libraries is used. These contain pre-defined components for di... | Simcenter Amesim | 0.780547 |
91,454 | Simcenter Amesim is a commercial simulation software for the modeling and analysis of multi-domain systems. It is part of systems engineering domain and falls into the mechatronic engineering field. The software package is a suite of tools used to model, analyze and predict the performance of mechatronics systems. Mode... | Simcenter Amesim | 0.780547 |
91,455 | Simcenter Amesim features: Platform Facilities graphical user interface, interactive help, supercomponents, post-processed variables, experiments management, meta-data, statechart designer Analysis Tools table editor, plots, dashboard, 3D animation, replay of results, linear analysis (eigenvalues, modal shapes, transfe... | Simcenter Amesim | 0.780547 |
91,456 | Recently the LCOE of solar photovoltaic technology has dropped substantially. In the United States, 70% of current coal-fired power plants run at a higher cost than new renewable energy technologies (excluding hydro) and by 2030 all of them will be uneconomic. In the rest of the world 42% of coal-fired power plants wer... | Electricity pricing | 0.780547 |
91,457 | However, as greater penetration from renewable energy sources, like solar, are on a grid the lower cost, electricity is shifted to midday when solar generates the most energy. An October 2018 study by UK energy supplier Octopus Energy demonstrated the benefits of time of use (TOU) tariffs in particular, with customers ... | Electricity pricing | 0.780547 |
91,458 | The inclusion of renewable energy distributed generation (DG) and advanced metering infrastructure (AMI or smart meter) in the modern electricity grid has introduced many alternative rate structures. There are several methods that modern utilities structure residential rates: Simple (or fixed) – the rate at which custo... | Electricity pricing | 0.780547 |
91,459 | In probability theory, the stable count distribution is the conjugate prior of a one-sided stable distribution. This distribution was discovered by Stephen Lihn (Chinese: 藺鴻圖) in his 2017 study of daily distributions of the S&P 500 and the VIX. The stable distribution family is also sometimes referred to as the Lévy al... | Stable count distribution | 0.780547 |
91,460 | Γ ( λ n + μ ) , λ > − 1. {\displaystyle {\begin{aligned}{\mathfrak {N}}_{\alpha }(x)&={\frac {1}{\pi \Gamma ({\frac {1}{\alpha }}+1)}}\sum _{n=1}^{\infty }{\frac {(-1)^{n}{x}^{\alpha n}}{n! }}\,\sin((\alpha n+1)\pi )\Gamma (\alpha n+1)\\&={\frac {1}{\Gamma \left({\frac {1}{\alpha }}+1\right)}}W_{-\alpha ,0}(-x^{\alpha ... | Stable count distribution | 0.780547 |
91,461 | {\displaystyle X.} That is, when no 𝜎-algebra is specified, then one simply takes the full power set of the underlying set. For example, the meager subsets of a topological space are those in the 𝜎-ideal generated by the collection of closed subsets with empty interior. | Sigma-ideal | 0.780546 |
91,462 | In mathematics, particularly measure theory, a 𝜎-ideal, or sigma ideal, of a sigma-algebra (𝜎, read "sigma," means countable in this context) is a subset with certain desirable closure properties. It is a special type of ideal. Its most frequent application is in probability theory.Let ( X , Σ ) {\displaystyle (X,\Si... | Sigma-ideal | 0.780546 |
91,463 | A Lagrangian relaxation of a complicated problem in combinatorial optimization penalizes violations of some constraints, allowing an easier relaxed problem to be solved. Relaxation techniques complement or supplement branch and bound algorithms of combinatorial optimization; linear programming and Lagrangian relaxation... | Relaxation (approximation) | 0.780546 |
91,464 | In mathematical optimization and related fields, relaxation is a modeling strategy. A relaxation is an approximation of a difficult problem by a nearby problem that is easier to solve. A solution of the relaxed problem provides information about the original problem. For example, a linear programming relaxation of an i... | Relaxation (approximation) | 0.780546 |
91,465 | In the solid state, croconic acid has a peculiar structure consisting of pleated strips, each "page" of the strip being a planar ring of 4 molecules of C5O5H2 held together by hydrogen bonds. In dioxane it has a large dipole moment of 9–10 D, while the free molecule is estimated to have a dipole of 7–7.5 D. The solid i... | Croconic acid | 0.780546 |
91,466 | Physics researcher who spent a brief period at Los Alamos in WWII. He is one of the first to understand the change. After the change he experiences an emotional battle to stay loyal to his wife, although he has feelings for another woman in his office. He later becomes a pilot of the first spaceship able to explore the... | Brain Wave | 0.780545 |
91,467 | In this model, health is a durable capital good which is inherited and depreciates over time. Investment in health takes the form of medical care purchases and other inputs and depreciation is interpreted as natural deterioration of health over time. In the model, health enters the utility function directly as a good p... | Grossman model of health demand | 0.780545 |
91,468 | Finally, he considers the more general case where the speed is an arbitrary function X(x), so the time to be minimised is ( x + a ) X {\displaystyle {\frac {(x+a)}{X}}} . The minimum condition then becomes X = ( x + a ) d X d x {\displaystyle X={\frac {(x+a)dX}{dx}}} which he writes as: X = ( x + a ) Δ x {\displaystyle... | Brachistochrone curve | 0.780545 |
91,469 | ... Consequently the nearer the inscribed polygon approaches a circle the shorter the time required for descent from A to C. What has been proven for the quadrant holds true also for smaller arcs; the reasoning is the same. Just after Theorem 6 of Two New Sciences, Galileo warns of possible fallacies and the need for a... | Brachistochrone curve | 0.780545 |
91,470 | Joseph-Louis Lagrange did further work that resulted in modern infinitesimal calculus. Earlier, in 1638, Galileo had tried to solve a similar problem for the path of the fastest descent from a point to a wall in his Two New Sciences. He draws the conclusion that the arc of a circle is faster than any number of its chor... | Brachistochrone curve | 0.780545 |
91,471 | In his paper, Jakob Bernoulli gave a proof of the condition for least time similar to that below before showing that its solution is a cycloid. According to Newtonian scholar Tom Whiteside, in an attempt to outdo his brother, Jakob Bernoulli created a harder version of the brachistochrone problem. In solving it, he dev... | Brachistochrone curve | 0.780545 |
91,472 | Newton also wrote, "I do not love to be dunned and teased by foreigners about mathematical things...", and Newton had already solved Newton's minimal resistance problem, which is considered the first of the kind in calculus of variations. In the end, five mathematicians responded with solutions: Newton, Jakob Bernoull... | Brachistochrone curve | 0.780545 |
91,473 | More specifically, the brachistochrone can use up to a complete rotation of the cycloid (at the limit when A and B are at the same level), but always starts at a cusp. In contrast, the tautochrone problem can use only up to the first half rotation, and always ends at the horizontal. The problem can be solved using tool... | Brachistochrone curve | 0.780545 |
91,474 | In physics and mathematics, a brachistochrone curve (from Ancient Greek βράχιστος χρόνος (brákhistos khrónos) 'shortest time'), or curve of fastest descent, is the one lying on the plane between a point A and a lower point B, where B is not directly below A, on which a bead slides frictionlessly under the influence of ... | Brachistochrone curve | 0.780545 |
91,475 | In the geometry of hyperbolic 3-space, the order-3-6 octagonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-6 octagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-3-6 oct... | Order-6 apeirogonal tiling honeycomb | 0.780545 |
91,476 | In the geometry of hyperbolic 3-space, the order-3-6 apeirogonal honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-3 apeirogonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-3-6... | Order-6 apeirogonal tiling honeycomb | 0.780545 |
91,477 | Some reports also describe the preparation of green-emitting silicon quantum dots prepared by decreasing the size, however, these materials are challenging to isolate and require further development. Silicon quantum dot luminescence may also be tuned by defining their surface chemistry. Attaching different surface spec... | Silicon quantum dot | 0.780544 |
91,478 | The Frame Analyzer can collect and display a frame timeline for applications that use Microsoft DirectX 12 or Vulkan. The analyzer's view lists each API call that was made on the CPU side and its corresponding command that executed on the GPU side in an inter-linked and unified timeline view, as well as aggregated stat... | CodeXL | 0.780543 |
91,479 | The class field tower problem asks whether this tower is always finite; Hasse (1926) attributed this question to Furtwangler, though Furtwangler said he had heard it from Schreier. Another consequence of the Golod–Shafarevich theorem is that such towers may be infinite (in other words, do not always terminate in a fiel... | Golod–Shafarevich theorem | 0.780542 |
91,480 | Let A = K⟨x1, ..., xn⟩ be the free algebra over a field K in n = d + 1 non-commuting variables xi. Let J be the 2-sided ideal of A generated by homogeneous elements fj of A of degree dj with 2 ≤ d1 ≤ d2 ≤ ...where dj tends to infinity. Let ri be the number of dj equal to i. Let B=A/J, a graded algebra. Let bj = dim Bj. | Golod–Shafarevich theorem | 0.780542 |
91,481 | In mathematics, the Golod–Shafarevich theorem was proved in 1964 by Evgeny Golod and Igor Shafarevich. It is a result in non-commutative homological algebra which solves the class field tower problem, by showing that class field towers can be infinite. | Golod–Shafarevich theorem | 0.780542 |
91,482 | With the trapdoor, the solutions of z can be given as c x + d y , c x − d y , − c x + d y , − c x − d y {\displaystyle cx+dy,cx-dy,-cx+dy,-cx-dy} , where a ≡ x 2 ( mod p ) , a ≡ y 2 ( mod q ) , c ≡ 1 ( mod p ) , c ≡ 0 ( mod q ) , d ≡ 0 ( mod p ) , d ≡ 1 ( mod q ) {\displaystyle a\equiv x^{2}{\pmod {p}},a\equiv y^{2}{\p... | Trapdoor function | 0.780541 |
91,483 | It is now recognized that the existence and location of CR across all 6 groups is heterogeneous. Thus, even though the "1-Cys Prx" designation was originally associated with the Prx6 group based on the lack of a CR in human PrxVI, and many Prx6 group members appear not to have a CR, there are "1-Cys" members in all of ... | Peroxiredoxin | 0.78054 |
91,484 | The 26 Athena computers, when declared surplus by the federal government, went to various United States universities. The one at Carnegie was used as an undergraduate project until 1971, when the former electrical engineering undergraduate students (Athena Systems Development Group) orchestrated its donation to the Smi... | ATHENA computer | 0.780537 |
91,485 | Robinson was awarded the 2010 Geological Society of London President's Award for her contributions to geosciences. In 2011 Robinson moved back to the United Kingdom, where she was appointed to the faculty of the University of Bristol. She was awarded a European Research Council Starting Grant studying changes in chemis... | Laura Robinson (scientist) | 0.780537 |
91,486 | Laura Frances Robinson, born November 1976, is a British scientist who is Professor of Geochemistry at the University of Bristol. She makes use of geochemistry to study the processes that govern the climate. In particular, Robinson studies radioactive elements, as these can be analysed in geological materials. She was ... | Laura Robinson (scientist) | 0.780537 |
91,487 | As part of the more general topic of stem cell biology, a number of studies have suggested that the blood contains marrow derived cells that can differentiate into fibroblasts. These cells have been reported to express the hematopoietic cell surface markers CD34+, CD45+, as well as collagen. These cells can migrate to ... | Fibrocyte | 0.780536 |
91,488 | Rake receivers are common in a wide variety of CDMA and W-CDMA radio devices such as mobile phones and wireless LAN equipment. Rake receivers are also used in radio astronomy. The CSIRO Parkes radio telescope and Jodrell Bank telescope have filter-bank recording formats that can be processed in real time by software-ba... | Rake receiver | 0.780536 |
91,489 | S. thermophilus is one of the most widely used bacteria in the dairy industry. USDA statistics from 1998 showed that more than 1.02 billion kilograms of mozzarella cheese and 621 million kilograms of yogurt were produced from S. thermophilus. Although its genus, Streptococcus, includes some pathogenic species, food ind... | Streptococcus thermophilus | 0.780536 |
91,490 | In computer sciences, the separation of protection and security is a design choice. Wulf et al. identified protection as a mechanism and security as a policy, therefore making the protection-security distinction a particular case of the separation of mechanism and policy principle. Many frameworks consider both as secu... | Separation of protection and security | 0.780536 |
91,491 | The adoption of this distinction in a computer architecture usually means that protection is provided as a fault tolerance mechanism by hardware/firmware and kernel, whereas the operating system and applications implement their security policies. In this design, security policies rely therefore on the protection mechan... | Separation of protection and security | 0.780536 |
91,492 | N58A is originally found in the venom of some East Asian scorpion species., similar to the one found in Leiurus quinquestriatus hebraeus, whose venom contains the structurally similar LqhIT2 toxin. In addition, N58A can be obtained by using molecular biology techniques such as PCR amplification and recombinant technolo... | N58A | 0.780533 |
91,493 | There are several ways to prove Lexell's theorem, each illuminating a different aspect of the relationships involved. | Lexell's theorem | 0.780528 |
91,494 | Given two distinct non-antipodal points A {\displaystyle A} and B , {\displaystyle B,} there are two great-circle arcs joining them: one shorter than a semicircle and the other longer. Given a triple A , B , C {\displaystyle A,B,C} of points, typically △ A B C {\displaystyle \triangle ABC} is interpreted to mean the ar... | Lexell's theorem | 0.780528 |
91,495 | The polar dual to Lexell's theorem, sometimes called Sorlin's theorem after A. N. J. Sorlin who first proved it trigonometrically in 1825, holds that for a spherical trilateral △ a b c {\displaystyle \triangle abc} with sides on fixed great circles a , b {\displaystyle a,b} (thus fixing the angle between them) and a fi... | Lexell's theorem | 0.780528 |
91,496 | By Girard's theorem the spherical excess of △ A B C {\displaystyle \triangle ABC} is ε = ∠ A + ∠ B + ∠ C − π = ( π − β − δ ) + ( π − α − δ ) + ( α + β ) − π = π − 2 δ . {\displaystyle {\begin{aligned}\varepsilon &=\angle A+\angle B+\angle C-\pi \\&=(\pi -\beta -\delta )+(\pi -\alpha -\delta )+(\alpha +\beta )-\pi \\&=\... | Lexell's theorem | 0.780528 |
91,497 | In 1784 Nicolas Fuss posed and solved the problem of finding the triangle △ A B C {\displaystyle \triangle ABC} of maximal area on a given base A B {\displaystyle AB} with its apex C {\displaystyle C} on a given great circle g . {\displaystyle g.} Fuss used an argument involving infinitesimal variation of C , {\display... | Lexell's theorem | 0.780528 |
91,498 | These coordinates sum to 1 , {\displaystyle 1,} and using the same definition in the plane results in barycentric coordinates. By Lexell's theorem, the locus of points with one coordinate constant is the corresponding Lexell circle. It is thus possible to find the point corresponding to a given triple of spherical area... | Lexell's theorem | 0.780528 |
91,499 | The barycentric coordinate system for points relative to a given triangle in affine space does not have a perfect analogy in spherical geometry; there is no single spherical coordinate system sharing all of its properties. One partial analogy is spherical area coordinates for a point P {\displaystyle P} relative to a g... | Lexell's theorem | 0.780528 |
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