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85,000 | The distribution of work happens implicitly, based on annotations provided by the programmer. Compiler pragmas for directing optimizations such as inline expansion and specializing functions for particular types. Customizable rewrite rules. | Glasgow Haskell Compiler | 0.783089 |
85,001 | Quasi-quotation, which allows the user to define new concrete syntax for expressions and patterns. Quasi-quotation is useful when a metaprogram written in Haskell manipulates code written in a language other than Haskell. Generic typeclasses, which specify functions solely in terms of the algebraic structure of the typ... | Glasgow Haskell Compiler | 0.783089 |
85,002 | The space P ( M ) = C / { f ∈ C : f | M = 0 } {\displaystyle {\mathcal {P}}(M)={\mathbb {C} }/\{f\in {\mathbb {C} }:\ f{\big |}_{M}=0\}} of polynomials (or regular functions) on M {\displaystyle M} , being endowed with the strongest locally convex topology, becomes a Brauner space. Its stereotype dual space P ⋆ ( M ) ... | Brauner space | 0.783089 |
85,003 | Let M {\displaystyle M} be a Stein manifold and O ( M ) {\displaystyle {\mathcal {O}}(M)} the Fréchet space of all holomorphic functions on M {\displaystyle M} with the usual topology of uniform convergence on compact sets in M {\displaystyle M} . The dual space O ⋆ ( M ) {\displaystyle {\mathcal {O}}^{\star }(M)} of a... | Brauner space | 0.783089 |
85,004 | Let M {\displaystyle M} be a σ {\displaystyle \sigma } -compact locally compact topological space, and C ( M ) {\displaystyle {\mathcal {C}}(M)} the Fréchet space of all continuous functions on M {\displaystyle M} (with values in R {\displaystyle {\mathbb {R} }} or C {\displaystyle {\mathbb {C} }} ), endowed with the u... | Brauner space | 0.783089 |
85,005 | The NEES network features 14 geographically distributed, shared-use laboratories that support several types of experimental work: geotechnical centrifuge research, shake table tests, large-scale structural testing, tsunami wave basin experiments, and field site research. Participating universities include: Cornell Univ... | Network for Earthquake Engineering Simulation | 0.783089 |
85,006 | The 1976 Nobel Prize in Chemistry was awarded to Lipscomb "for his studies on the structure of boranes illuminating problems of chemical bonding".Traditionally, diborane has often been described as electron-deficient, because the 12 valence electrons can only form 6 conventional 2-centre 2-electron bonds, which are ins... | B2H6 | 0.783088 |
85,007 | Diborane was first synthesised in the 19th century by hydrolysis of metal borides, but it was never analysed. From 1912 to 1936, Alfred Stock, the major pioneer in the chemistry of boron hydrides, undertook his research that led to the methods for the synthesis and handling of the highly reactive, volatile, and often t... | B2H6 | 0.783088 |
85,008 | Pyrolysis of diborane gives hydrogen and diverse boron hydride clusters. For example, pentaborane was first prepared by pyrolysis of diborane at about 200 °C. Although this pyrolysis route is rarely employed, it ushered in a large research theme of borane cluster chemistry. Treating diborane with sodium amalgam gives N... | B2H6 | 0.783088 |
85,009 | In molecular biology 2-oxo-4-hydroxy-4-carboxy-5-ureidoimidazoline decarboxylase (OHCU decarboxylase) EC 4.1.1.n1 is an enzyme involved in purine catabolism. It catalyses the decarboxylation of 2-oxo-4-hydroxy-4-carboxy-5-ureidoimidazoline (OHCU) into S(+)-allantoin. It is the third step of the conversion of uric acid ... | 2-oxo-4-hydroxy-4-carboxy-5-ureidoimidazoline decarboxylase | 0.783087 |
85,010 | Incremental launch is a method in civil engineering of building a complete bridge deck from one abutment of the bridge only, manufacturing the superstructure of the bridge by sections to the other side. In current applications, the method is highly mechanised and uses pre-stressed concrete. : 1 | Incremental launch | 0.783087 |
85,011 | Bush goes on to discuss the record-making process and how Memex could incorporate systems of voice-control and user-propagated learning. He proposes a machine that could respond to "simple remarks" as well as build trails based on its user's "habits of association," as Belinda Barnet described them in "The Technical Ev... | Memex | 0.783086 |
85,012 | Inspired by Bush's hypothetical device in his 1945 article, Defense Advanced Research Projects Agency launched a program named Memex in 2014 to fight human trafficking crimes on the dark web. DARPA later released the Memex artificial intelligence search technologies as open-source software. In 2016, DARPA Memex program... | Memex | 0.783086 |
85,013 | An example of the use of azodicarbonamide as a blowing agent is found in the manufacture of vinyl (PVC) and EVA-PE foams, where it plays a role in the formation of air bubbles by breaking down into gas at high temperature.The random or "stochastic" geometry of these foams makes them good for energy absorption, as well.... | Foam | 0.783086 |
85,014 | In materials science, environmental stress fracture or environment assisted fracture is the generic name given to premature failure under the influence of tensile stresses and harmful environments of materials such as metals and alloys, composites, plastics and ceramics. Metals and alloys exhibit phenomena such as stre... | Environmental stress fracture | 0.783086 |
85,015 | Metals come in all forms. In the case of aluminum as an example, bar stock and plate are the two most common forms from which machined parts are made. The size and shape of the component may determine which form of material must be used. It is common for engineering drawings to specify one form over the other. Bar stoc... | Design for manufacturability | 0.783085 |
85,016 | Unless a 4th and/or 5th axis is used, a CNC can only approach the part from a single direction. One side must be machined at a time (called an operation or op). Then the part must be flipped from side to side to machine all of the features. The geometry of the features dictates whether the part must be flipped over or ... | Design for manufacturability | 0.783085 |
85,017 | In mathematics, the reciprocal gamma function is the function f ( z ) = 1 Γ ( z ) , {\displaystyle f(z)={\frac {1}{\Gamma (z)}},} where Γ(z) denotes the gamma function. Since the gamma function is meromorphic and nonzero everywhere in the complex plane, its reciprocal is an entire function. As an entire function, it is... | Reciprocal Gamma function | 0.783085 |
85,018 | It offers academic courses in Fire Fighter I, Fire Fighter II, EMT1, Paramedic, Cosmetology, Information Technology, Business, Community Development, Vocational Training, and Disaster Management. ICT Schools and Departments School of Emergency Medical Services Fire Fighting Academy School of Information Technology Scho... | International Centre of Technology | 0.783085 |
85,019 | Linezolid is a completely synthetic drug: it does not occur in nature (unlike erythromycin and many other antibiotics) and was not developed by building upon a naturally occurring skeleton (unlike most beta-lactams, which are semisynthetic). Many approaches are available for oxazolidinone synthesis, and several routes ... | Linezolid | 0.783085 |
85,020 | In mathematical finite group theory, the Baer–Suzuki theorem, proved by Baer (1957) and Suzuki (1965), states that if any two elements of a conjugacy class C of a finite group generate a nilpotent subgroup, then all elements of the conjugacy class C are contained in a nilpotent subgroup. Alperin & Lyons (1971) gave a s... | Baer–Suzuki theorem | 0.783085 |
85,021 | In number theory, we define the Mertens function as M ( n ) = ∑ 1 ≤ k ≤ n μ ( k ) , {\displaystyle M(n)=\sum _{1\leq k\leq n}\mu (k),} where μ(k) is the Möbius function; the Mertens conjecture is that for all n > 1, | M ( n ) | < n . {\displaystyle |M(n)|<{\sqrt {n}}.} | Mertens conjecture | 0.783084 |
85,022 | The connection to the Riemann hypothesis is based on the Dirichlet series for the reciprocal of the Riemann zeta function, 1 ζ ( s ) = ∑ n = 1 ∞ μ ( n ) n s , {\displaystyle {\frac {1}{\zeta (s)}}=\sum _{n=1}^{\infty }{\frac {\mu (n)}{n^{s}}},} valid in the region R e ( s ) > 1 {\displaystyle {\mathcal {Re}}(s)>1} . We... | Mertens conjecture | 0.783084 |
85,023 | Rainbow gravity (or "gravity's rainbow") is a theory that different wavelengths of light experience different gravity levels and are separated in the same way that a prism splits white light into the rainbow. This phenomenon would be imperceptible in areas of relatively low gravity, such as Earth, but would be signific... | Rainbow gravity | 0.783082 |
85,024 | The crystallographic studies on this compound have discovered the Cr–C and C–O distances of 1.916 and 1.171 Å, respectively. On one hand, there has been continuous efforts to calculate the electronic structures (including HOMO and LUMO) as well as its molecular geometry on the chromium hexacarbonyl compound with variou... | C6CrO6 | 0.783081 |
85,025 | In chromium hexacarbonyl, the oxidation state for chromium is assigned as zero, because Cr-C bonding electrons come from the C atom and are still assigned to C in the hypothetical ionic bond which determines the oxidation states. The formula conforms to the 18-electron rule and the complex adopts octahedral geometry wi... | C6CrO6 | 0.783081 |
85,026 | "Activated metals: VIII. Preparation of chromium hexacarbonyl from chromium metal". Journal of Organometallic Chemistry. | C6CrO6 | 0.783081 |
85,027 | The pull-out was described as "traumatic" for the science community.In early 2011, the US National Research Council's Planetary Science Decadal Survey, which laid out mission planning priorities for the period 2013–2022, declared an MSR campaign its highest priority Flagship Mission for that period. In particular, it e... | Mars sample-return mission | 0.78308 |
85,028 | Mouse models have shown GPR126 deletion to affect cartilage biology and spinal column development, supporting findings that variants of GPR126 have been associated with adolescent idiopathic scoliosis, and Mutations have been shown to be responsible for severe arthrogryposis multiplex congenita | GPR126 | 0.783079 |
85,029 | The design of pressure relief devices, such as rupture discs and relief valves (by mechanical engineers, supported by process engineers). The design of depressurization and flare systems (by process engineers). The design of emergency liquid drainage facilities (by process engineers). The design of ignition prevention ... | Process Safety | 0.783078 |
85,030 | Explosions (vapor cloud explosions, BLEVEs, dust explosions) and closed vessel bursts, such as caused by runaway reactions. The understanding and modeling of the vulnerability of people to the effect of fires (thermal radiation, smoke inhalation), explosion (blast overpressure, missiles, etc.), and toxic gas inhalation... | Process Safety | 0.783078 |
85,031 | It was generally understood to be a branch of chemical engineering, as it primarily relied on the understanding of industrial chemical processes, as exemplified in the HAZOP technique. In time, it absorbed a range of elements from other disciplines (such as chemistry and physics for mathematical modelling of releases, ... | Process Safety | 0.783078 |
85,032 | The following is a list of topics covered in process safety. There are some overlaps with equivalent domains from other disciplines, especially occupational safety and health (OSH), although the focus in process safety will always be specifically on the loss of control in the handling of hazardous materials at industri... | Process Safety | 0.783078 |
85,033 | Monochromatization is a technique which has been proposed since a long time for reducing the centre-of-mass energy spread at e−e+ colliders, but this has never been used in any operational collider. This technique was first proposed by 1975 by A. Renieri to improve energy resolution of Italian collider Adone.Implementa... | Monochromatization | 0.783076 |
85,034 | Monochromatization in the context of accelerator physics is a theoretical principle used to increase center-of-mass energy resolution in high-luminosity particle collisions. The decrease of the collision energy spread can be accomplished without reducing the inherent energy spread of either of the two colliding beams, ... | Monochromatization | 0.783076 |
85,035 | A monochrome or monochromatic image, object or palette is composed of one color (or values of one color). Images using only shades of grey are called grayscale (typically digital) or black-and-white (typically analog). In physics, monochromatic light refers to electromagnetic radiation that contains a narrow band of wa... | Monochromatic color | 0.783075 |
85,036 | Polyaniline nanofibers are a high aspect form of polyaniline, a polymer consisting of aniline monomers, which appears as discrete long threads with an average diameter between 30 nm and 100 nm. Polyaniline is one of the oldest known conducting polymers, being known for over 150 years. Polyaniline nanofibers are often s... | Polyaniline nanofibers | 0.783075 |
85,037 | A low-voltage network or secondary network is a part of electric power distribution which carries electric energy from distribution transformers to electricity meters of end customers. Secondary networks are operated at a low voltage level, which is typically equal to the mains voltage of electric appliances. Most mode... | Secondary network | 0.783074 |
85,038 | Software construction is a software engineering discipline. It is the detailed creation of working meaningful software through a combination of coding, verification, unit testing, integration testing, and debugging. It is linked to all the other software engineering disciplines, most strongly to software design and sof... | Software construction | 0.783071 |
85,039 | Numerous construction activities and artifacts can be measured, including code developed, code modified, code reused, code destroyed, code complexity, code inspection statistics, fault-fix and fault-find rates, effort, and scheduling. These measurements can be useful for purposes of managing construction, ensuring qual... | Software construction | 0.783071 |
85,040 | Scale, the spatial or temporal dimensions of a phenomenon, is central to seascape ecology and the topic permeates all applications of a seascape ecology approach from conceptual models through to design of sampling, analyses and interpretation of results. Species and life-stage responses to patchiness and gradients in ... | Seascape ecology | 0.783071 |
85,041 | The patterns revealed by remote sensing devices are most often mapped and represented using two types of model: (1) collections of discrete patches forming mosaics e.g. as represented in two-dimensional benthic habitat map, or (2) continuously varying gradients in three-dimensional terrain models e.g. in remotely sense... | Seascape ecology | 0.783071 |
85,042 | How does human activity alter the structure and function of landscapes? Several guiding principles that exist at the core of landscape ecology have made major contributions to terrestrial landscape planning and conservation, but in marine systems our understanding is still in its infancy. The first book on seascape eco... | Seascape ecology | 0.783071 |
85,043 | Like landscape ecologists, seascape ecologists are interested in the spatially explicit geometry of patterns and the relationships between pattern, ecological processes and environmental change. A central tenet in landscape ecology is that patch context matters, where local conditions are influenced by attributes of th... | Seascape ecology | 0.783071 |
85,044 | Seascape ecology, the application of landscape ecology concepts to the marine environment has been slowly emerging since the 1970s, yielding new ecological insights and showing growing potential to support the development of ecologically meaningful science-based management practices. For marine systems, the application... | Seascape ecology | 0.783071 |
85,045 | Seascape ecology is a scientific discipline that deals with the causes and ecological consequences of spatial pattern in the marine environment, drawing heavily on conceptual and analytical frameworks developed in terrestrial landscape ecology. | Seascape ecology | 0.783071 |
85,046 | Multi-scale measurements have been used to discover the scale at which populations are associated with key habitat features. With regard to scaling seascapes, one approach is to select spatial and temporal scales to be ecologically meaningful to the organism’s movements or other processes of interest.The absence of inf... | Seascape ecology | 0.783071 |
85,047 | The diagram depicted variation in sea level height at spatial scales from centimeters to that of the planet and at time scales from seconds to tens of millennia. The oceanographer John Steele (1978) adapted the Stommel diagram to depict the spatial and temporal scales of patchiness in phytoplankton, zooplankton and fis... | Seascape ecology | 0.783071 |
85,048 | KBP's shares are held by OAO NPO Vysokotochnye Kompleksy and State Company Rostec. It has the following subsidiaries: TsKIB SOO Moscow subsidiary of KBP Science Research Center of Biology "Fitogenetica" | KBP Instrument Design Bureau | 0.783069 |
85,049 | In addition to building machine tools, Ingersoll has built and installed large telescopes for Astronomy research. Most recently, they were selected to build the mount for the Giant Magellan Telescope, which will be installed in Chile. Ingersoll Machine Tools was awarded the 2020 Manufacturer of the Year by the Rockford... | Ingersoll Machine Tools | 0.783069 |
85,050 | Ingersoll Machine Tools is a manufacturer located in Rockford, Illinois that produces large scale machine tools for use in metal cutting, 3D Printing, and automated fiber placement. | Ingersoll Machine Tools | 0.783069 |
85,051 | In Bayesian inference, one wants to solve for the posterior distribution of the latent variables x {\displaystyle {\boldsymbol {x}}} and θ {\displaystyle {\boldsymbol {\theta }}} . Applying Bayes' theorem the joint posterior distribution of x {\displaystyle {\boldsymbol {x}}} and θ {\displaystyle {\boldsymbol {\theta }... | Integrated nested Laplace approximations | 0.783068 |
85,052 | Integrated nested Laplace approximations (INLA) is a method for approximate Bayesian inference based on Laplace's method. It is designed for a class of models called latent Gaussian models (LGMs), for which it can be a fast and accurate alternative for Markov chain Monte Carlo methods to compute posterior marginal dist... | Integrated nested Laplace approximations | 0.783068 |
85,053 | As per Bayesian statistics, x {\displaystyle {\boldsymbol {x}}} and θ {\displaystyle {\boldsymbol {\theta }}} are random variables with prior distributions. The observations are assumed to be conditionally independent given x {\displaystyle {\boldsymbol {x}}} and θ {\displaystyle {\boldsymbol {\theta }}}: where I {\dis... | Integrated nested Laplace approximations | 0.783068 |
85,054 | Scandium trifluoromethanesulfonate, commonly called scandium triflate, is a chemical compound with formula Sc(SO3CF3)3, a salt consisting of scandium cations Sc3+ and triflate SO3CF−3 anions. Scandium triflate is used as a reagent in organic chemistry as a Lewis acid. Compared to other Lewis acids, this reagent is stab... | Scandium(III) triflate | 0.783067 |
85,055 | The Malvenuto–Reutenauer algebra is a Hopf algebra based on permutations that relates the rings of symmetric functions, quasisymmetric functions, and noncommutative symmetric functions, (denoted Sym, QSym, and NSym respectively), as depicted the following commutative diagram. The duality between QSym and NSym mentioned... | Quasisymmetric functions | 0.783066 |
85,056 | Quasisymmetric functions have been applied in enumerative combinatorics, symmetric function theory, representation theory, and number theory. Applications of quasisymmetric functions include enumeration of P-partitions, permutations, tableaux, chains of posets, reduced decompositions in finite Coxeter groups (via Stanl... | Quasisymmetric functions | 0.783066 |
85,057 | QSym is a graded R-algebra, decomposing as QSym = ⨁ n ≥ 0 QSym n , {\displaystyle \operatorname {QSym} =\bigoplus _{n\geq 0}\operatorname {QSym} _{n},\,} where QSym n {\displaystyle \operatorname {QSym} _{n}} is the R {\displaystyle R} -span of all quasisymmetric functions that are homogeneous of degree n {\displaystyl... | Quasisymmetric functions | 0.783066 |
85,058 | This F {\displaystyle F} is in the family F {\displaystyle {\mathfrak {F}}} in Lemma 1; thus, N {\displaystyle N} is a direct sum of countably generated submodules, each a direct summand of F and thus projective. Hence, without loss of generality, we can assume N {\displaystyle N} is countably generated. Then Lemma 2 g... | Kaplansky's theorem on projective modules | 0.783065 |
85,059 | Hence, the proof reduces to proving the claim and the claim is a straightforward consequence of Azumaya's theorem (see the linked article for the argument). ◻ {\displaystyle \square } Proof of the theorem: Let N {\displaystyle N} be a projective module over a local ring. Then, by definition, it is a direct summand of s... | Kaplansky's theorem on projective modules | 0.783065 |
85,060 | The proof of the theorem is based on two lemmas, both of which concern decompositions of modules and are of independent general interest. Proof: Let N be a direct summand; i.e., M = N ⊕ L {\displaystyle M=N\oplus L} . Using the assumption, we write M = ⨁ i ∈ I M i {\displaystyle M=\bigoplus _{i\in I}M_{i}} where each M... | Kaplansky's theorem on projective modules | 0.783065 |
85,061 | For the general case, the proof (both the original as well as later one) consists of the following two steps: Observe that a projective module over an arbitrary ring is a direct sum of countably generated projective modules. Show that a countably generated projective module over a local ring is free (by a " of the proo... | Kaplansky's theorem on projective modules | 0.783065 |
85,062 | In abstract algebra, Kaplansky's theorem on projective modules, first proven by Irving Kaplansky, states that a projective module over a local ring is free; where a not-necessarily-commutative ring is called local if for each element x, either x or 1 − x is a unit element. The theorem can also be formulated so to chara... | Kaplansky's theorem on projective modules | 0.783065 |
85,063 | ( ⇒ ) {\displaystyle (\Rightarrow )} is by Azumaya's theorem as in the proof of 1. ⇒ 2. {\displaystyle 1.\Rightarrow 2.} | Kaplansky's theorem on projective modules | 0.783065 |
85,064 | {\displaystyle 1.\Rightarrow 2.} is exactly (usual) Kaplansky's theorem and Azumaya's theorem. The converse 2. | Kaplansky's theorem on projective modules | 0.783065 |
85,065 | Kaplansky's theorem can be stated in such a way to give a characterization of a local ring. A direct summand is said to be maximal if it has an indecomposable complement. The implication 1. ⇒ 2. | Kaplansky's theorem on projective modules | 0.783065 |
85,066 | A fail-fast function will normally throws a runtime exception, when some abnormal computation, is found making the system fail if no "catch" has been contemplated by any other, vs returning some error-value without making any (optimistic) assumption about the correct management of the raised error. From the field of so... | Fail-fast | 0.783064 |
85,067 | While acknowledging some borrowing, Harris insisted that "much the greater part of what will find here is collected from no Dictionaries, but from the best Original Authors I could procure." Harris's preface touted his coverage of mathematical subjects. He admitted the imperfection of his data on stars, noting that Fl... | Lexicon Technicum | 0.783064 |
85,068 | He provided tables of logarithms, sines, tangents, and secants, a two-page list of books, and an index of the articles in both volumes under 26 heads, filling 50 pages. The longest lists are for law (1700 articles), surgery, anatomy, geometry, fortification, botany, and music. In his preface, Harris stated that he got ... | Lexicon Technicum | 0.783064 |
85,069 | Structured light scanners use projected light patterns and digital cameras to analyse the geometry of an object. As with laser scanning, objects with high reflectivity and translucence can cause problems but temporary coatings can be applied to prevent this. | Computer-aided inspection | 0.783064 |
85,070 | Laser scanning CAI machines use point clouds to generate a 3D model which is compared to the required specification. Laser scanners are generally used to check the external geometry of parts with low reflectivity and translucence. | Computer-aided inspection | 0.783064 |
85,071 | Industrial CT scanners use X-rays to image an object from many angles, building up a 3D image to compare to a specification. CT scans can be used to analyse the internal geometry of parts because the X-rays penetrate the object being scanned. Higher resolution CT scans can also check for cavities, cracks, and other und... | Computer-aided inspection | 0.783064 |
85,072 | In molecular biology, the lipid-binding serum glycoproteins family, also known as the BPI/LBP/Plunc family or LBP/BPI/CETP family represents a family which includes mammalian lipid-binding serum glycoproteins and/or proteins containing a structural motif known as the BPI fold. Members of this family include: Bactericid... | Lipid-binding serum glycoprotein | 0.783064 |
85,073 | In robotics, obstacle avoidance is the task of satisfying some control objective subject to non-intersection or non-collision position constraints. What is critical about obstacle avoidance concept in this area is the growing need of usage of unmanned aerial vehicles in urban areas for especially military applications ... | Robot collision avoidance | 0.783063 |
85,074 | The digit or finger is an ancient and obsolete non-SI unit of measurement of length. It was originally based on the breadth of a human finger. It was a fundamental unit of length in the Ancient Egyptian, Mesopotamian, Hebrew, Ancient Greek and Roman systems of measurement. In astronomy a digit is one twelfth of the dia... | Digit (unit) | 0.783062 |
85,075 | However much work is being done on this area currently. The EyeWire project harnesses human computation in a game to trace neurons through images of a volume of retina obtained using serial block-face scanning electron microscopy.Many different samples can be prepared for serial block-face scanning electron microscopy ... | Serial block-face scanning electron microscopy | 0.783062 |
85,076 | One of the first applications of serial block-face scanning electron microscopy was to analyze the connectivity of axons in the brain. The resolution is sufficient to trace even the thinnest axons and to identify synapses. By now, serial block face imaging contributed to many fields, like developmental biology, plant b... | Serial block-face scanning electron microscopy | 0.783062 |
85,077 | In astronomy a digit is, or was until recently, one twelfth of the diameter of the sun or the moon. This is found in the Moralia of Plutarch, XII:23, but the definition as exactly one twelfth of the diameter may be due to Ptolemy. Sosigenes of Alexandria had observed in the 1st century AD that on a dioptra, a disc with... | Digit (unit) | 0.783062 |
85,078 | The DCE Distributed File System (DCE/DFS) is the remote file access protocol used with the Distributed Computing Environment. It was a variant of Andrew File System (AFS), based on the AFS Version 3.0 protocol that was developed commercially by Transarc Corporation. AFS Version 3.0 was in turn based on the AFS Version ... | DCE Distributed File System | 0.783061 |
85,079 | It is used heavily in statistical physics, statistical analysis, information theory, data science, neural networks, finance and marketing. A sample path of a diffusion process models the trajectory of a particle embedded in a flowing fluid and subjected to random displacements due to collisions with other particles, wh... | Diffusion process | 0.78306 |
85,080 | In probability theory and statistics, diffusion processes are a class of continuous-time Markov process with almost surely continuous sample paths. Diffusion process is stochastic in nature and hence is used to model many real-life stochastic systems. Brownian motion, reflected Brownian motion and Ornstein–Uhlenbeck pr... | Diffusion process | 0.78306 |
85,081 | However electromagnetic waves can display a longitudinal component in the electric and/or magnetic fields when traversing birefringent materials, or inhomogeneous materials especially at interfaces (surface waves for instance) such as Zenneck waves.In the development of modern physics, Alexandru Proca (1897-1955) was k... | Compression wave | 0.783059 |
85,082 | A Wilberforce pendulum, invented by British physicist Lionel Robert Wilberforce around 1896, consists of a mass suspended by a long helical spring and free to turn on its vertical axis, twisting the spring. It is an example of a coupled mechanical oscillator, often used as a demonstration in physics education. The mass... | Wilberforce pendulum | 0.783057 |
85,083 | The device's intriguing behavior is caused by a slight coupling between the two motions or degrees of freedom, due to the geometry of the spring. When the weight is moving up and down, each downward excursion of the spring causes it to unwind slightly, giving the weight a slight twist. When the weight moves up, it caus... | Wilberforce pendulum | 0.783057 |
85,084 | The currently accepted taxonomy is based on the List of Prokaryotic names with Standing in Nomenclature (LPSN) and National Center for Biotechnology Information (NCBI). Super Phylum "DPANN" Rinke et al. 2013 Phylum "Undinarchaeota" Dombrowski et al. 2020 Class "Undinarchaeia" Dombrowski et al. 2020 Order "Undinarchaeal... | DPANN | 0.783056 |
85,085 | The concept of structure set is the unifying framework for both questions of existence and uniqueness. Roughly speaking, the structure set of a space X consists of homotopy equivalences M → X from some manifold to X, where two maps are identified under a bordism-type relation. A necessary (but not in general sufficient... | Algebraic surgery theory | 0.783056 |
85,086 | This is closely related to, but not identical with, handlebody decompositions. More technically, the idea is to start with a well-understood manifold M and perform surgery on it to produce a manifold M′ having some desired property, in such a way that the effects on the homology, homotopy groups, or other invariants of... | Algebraic surgery theory | 0.783056 |
85,087 | In mathematics, specifically in geometric topology, surgery theory is a collection of techniques used to produce one finite-dimensional manifold from another in a 'controlled' way, introduced by John Milnor (1961). Milnor called this technique surgery, while Andrew Wallace called it spherical modification. The "surgery... | Algebraic surgery theory | 0.783056 |
85,088 | Open-Silicon was founded in 2003 by Naveed Sherwani, Satya Gupta and Scott Houghton. Initial funding was provided by Sequoia Capital, Norwest Venture Partners, and InterWest Partners. In December 2007 Unicorn Investment Bank acquired 75% of Open-Silicon for $190M, with the rest of the company employee-owned.In May 2007... | Open-Silicon | 0.783056 |
85,089 | Scientifically, masses referred to as a renal calculus or nephrolith, or more commonly, "kidney stones," are solid masses of crystals that may be a variety of shapes, sizes, and textures, that can reside within one or both of the kidneys. Kidney stones form when the balance is off between the concentration of substance... | Excretory system | 0.783055 |
85,090 | If the polar line of C with respect to a point Q is a line L, then Q is said to be a pole of L. A given line has (n−1)2 poles (counting multiplicities etc.) where n is the degree of C. To see this, pick two points P and Q on L. The locus of points whose polar lines pass through P is the first polar of P and this is a c... | Hessian curve | 0.783055 |
85,091 | In algebraic geometry, the first polar, or simply polar of an algebraic plane curve C of degree n with respect to a point Q is an algebraic curve of degree n−1 which contains every point of C whose tangent line passes through Q. It is used to investigate the relationship between the curve and its dual, for example in t... | Hessian curve | 0.783055 |
85,092 | The class of C may be defined as the number of tangents that may be drawn to C from a point not on C (counting multiplicities and including imaginary tangents). Each of these tangents touches C at one of the points of intersection of C and the first polar, and by Bézout's theorem there are at most n(n−1) of these. This... | Hessian curve | 0.783055 |
85,093 | The DR 6 cluster is nicknamed the "Galactic Ghoul" because of the nebula's resemblance to a human face; astronomers have described it as "some sort of freakish space face," emphasizing the cavity-like regions that look like eyes and a mouth. These large cavities are the result of "energetic light" and strong stellar wi... | DR 6 nebula | 0.783051 |
85,094 | Capsazepine competes for the capsaicin-binding site on TRPV1 however, due to low metabolic stability and poor pharmacokinetic properties the compound did not reach into clinical development. It was observed later on that this tether was not critical for activity as powerful antagonists free from this structural feature... | Discovery and development of TRPV1 antagonists | 0.783047 |
85,095 | As of late 2009, available public information suggests that quite a few are in clinical trials. Several biotechnology and pharmaceutical companies are developing TRPV1 ligands and the emphasis seems to be on both agonists and antagonists. Although the agonists appear to be further along in clinical development. | Discovery and development of TRPV1 antagonists | 0.783047 |
85,096 | NeurogesX has successfully completed three Phase III clinical studies of Qutenza (NGX-4010) that met studies primary endpoints. Qutenza is a synthetic trans-capsaicin and drug delivery is by a rapid-delivery patch application system NeurogesX plans to launch Qutenza in the United States in the first half of November 20... | Discovery and development of TRPV1 antagonists | 0.783047 |
85,097 | Representation of a Lie group Unitary representation Irreducible representation Harish-Chandra character Restricted representation Induced representation Peter–Weyl theorem Spherical harmonic Casimir operator Hecke operator Stone–von Neumann theorem Discrete series representation Tempered representation Langlands progr... | List of harmonic analysis topics | 0.783047 |
85,098 | For a free particle of spin j without electric charge, the BW equations are a set of 2j coupled linear partial differential equations, each with a similar mathematical form to the Dirac equation. The full set of equations are: ( − γ μ P ^ μ + m c ) α 1 α 1 ′ ψ α 1 ′ α 2 α 3 ⋯ α 2 j = 0 ( − γ μ P ^ μ + m c ) α 2 α 2 ′ ψ... | Bargmann–Wigner equations | 0.783047 |
85,099 | In relativistic quantum mechanics and quantum field theory, the Bargmann–Wigner equations describe free particles with non-zero mass and arbitrary spin j, an integer for bosons (j = 1, 2, 3 ...) or half-integer for fermions (j = 1⁄2, 3⁄2, 5⁄2 ...). The solutions to the equations are wavefunctions, mathematically in the... | Bargmann–Wigner equations | 0.783047 |
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