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97,400 | Arad-II, Art Basel Miami Beach / USA (2005) Die waren früher auch mal besser: monochrom (1993-2013) / Austria (2013) Dilettanten. Forum Stadtpark, Graz / Austria - Steiermärkisches Landesmuseum Joanneum, Graz / Austria - Steirischer Herbst 2002, Graz / Austria (2002) Junge Szene 98. Vereinigung Bildender Künstler, Wien... | Monochrom | 0.777761 |
97,401 | Je Suis Auto (to be released 2023): Chase Masterson and Johannes Grenzfurthner portray the main characters in Monochrom's science fiction comedy film "Je Suis Auto", directed by Juliana Neuhuber. Masterson is voicing the title character "Auto", a self-driving taxi, and Grenzfurthner plays Herbie Fuchsel, an unemployed ... | Monochrom | 0.777761 |
97,402 | and was held in San Francisco in October 2008. It featured speakers like Rudy Rucker and Constance Penley. The general theme of Arse Elektronika 2009 was 'Of Intercourse and Intracourse' (genetics, biotechnology, wetware, body modifications) and took place October 2009 in San Francisco. | Monochrom | 0.777761 |
97,403 | In solid-state physics, the Hill limit is a critical distance defined in a lattice of actinide or rare-earth atoms. These atoms own partially filled 4 f {\displaystyle 4f} or 5 f {\displaystyle 5f} levels in their valence shell and are therefore responsible for the main interaction between each atom and its environment... | Hill limit (solid-state) | 0.77776 |
97,404 | , 5 {\displaystyle j=1,...,5} . We can see on the picture that I x 1 r = I x 2 r = 1 {\displaystyle I_{x_{1}}r=I_{x_{2}}r=1} and I x 4 r = I x 5 r = − 1 {\displaystyle I_{x_{4}}r=I_{x_{5}}r=-1} . For the pole in zero, we have I x 3 r = 0 {\displaystyle I_{x_{3}}r=0} since the left and right limits are equal (which is b... | Cauchy index | 0.77776 |
97,405 | In mathematical analysis, the Cauchy index is an integer associated to a real rational function over an interval. By the Routh–Hurwitz theorem, we have the following interpretation: the Cauchy index of r(x) = p(x)/q(x)over the real line is the difference between the number of roots of f(z) located in the right half-pla... | Cauchy index | 0.77776 |
97,406 | Intermittent rivers face many threats. Diversion of river water for large-scale consumption, such as industrial use or for farming, can alter the ecology of intermittent rivers. Disturbances caused by humans can result in short-term (pulse) and long-term (press) effects on intermittent stream habitats. | Intermittent stream | 0.77776 |
97,407 | The One-Mile Telescope at the Mullard Radio Astronomy Observatory (MRAO), Cambridge, UK is an array of radio telescopes (two fixed and one moveable, fully steerable 60-ft-diameter parabolic reflectors operating simultaneously at 1407 MHz and 408 MHz) designed to perform aperture synthesis interferometry. | One-Mile Telescope | 0.777759 |
97,408 | The One Mile Telescope was completed by the Radio Astronomy Group of Cambridge University in 1964. The telescope was used to produce the 5C catalogue of radio sources. Observations with larger incremental spacings were used to observe individual radio sources with unprecedented sensitivity, angular resolution, and imag... | One-Mile Telescope | 0.777759 |
97,409 | Over a 20-year career, the telescope was used to map individual objects, and to do several deep field surveys. Though still occasionally used, it is now essentially retired (one of the dishes is occasionally used for undergraduate projects or by amateur radio astronomers). The construction of this telescope and develop... | One-Mile Telescope | 0.777759 |
97,410 | Completely black eyes and thin pencil necks soon appeared on bald brainy aliens in ufo encounters in mimicry of film imagery. While the public was given the impression that the aliens would be based on those found in ufo investigations; the CE3K alien design team had never been given drawings to base their work on. The... | Psychosocial hypothesis | 0.777757 |
97,411 | Outside this limited set, however, it is clear no correlation can be found. Charles H. Smiley, Chairman of the Department of Astronomy at Brown University computed 14 ideal minimum energy orbits for transportation from Mars to Earth and Venus to Earth between 1956 and 1965 and determined the likely arrival times plus a... | Psychosocial hypothesis | 0.777757 |
97,412 | Founded in 1944, Wolf Robotics operated under the name Heath Engineering and manufactured farm implement equipment using shape cutting products. In 1976, ESAB purchased Heath Engineering to make it their robotic welding division. ABB bought ESAB in 1993 and designated it as their Welding Systems Division. In 2003, the ... | Wolf Robotics | 0.777752 |
97,413 | The company's robotic-grade welding positioners have a load capacity of up to 100,000 kg (220,462 lbs), which are among the strongest in the industry. It introduced robotics to the process of submerged arc welding. As one of the first four companies to be certified by the Robotic Industries Association as a robotic int... | Wolf Robotics | 0.777752 |
97,414 | Wolf Robotics is an American automation technology company that utilizes industrial robots and computer numerical control systems. Based in Fort Collins, Colorado, it also has employees in Mexico and Brazil. These typically incorporate ABB or FANUC robots with Wolf's own robotic positioners.Wolf Robotics combines robot... | Wolf Robotics | 0.777752 |
97,415 | Mercury(I) hydride (systematically named mercury hydride) is an inorganic compound with the chemical formula HgH. It has not yet been obtained in bulk, hence its bulk properties remain unknown. However, molecular mercury(I) hydrides with the formulae HgH and Hg2H2 have been isolated in solid gas matrices. The molecular... | Mercury(I) hydride | 0.77775 |
97,416 | In statistics, a multivariate Pareto distribution is a multivariate extension of a univariate Pareto distribution.There are several different types of univariate Pareto distributions including Pareto Types I−IV and Feller−Pareto. Multivariate Pareto distributions have been defined for many of these types. | Multivariate Pareto distribution | 0.777745 |
97,417 | In addition to conducting research on environmental chemistry of coastal ecosystems, he had a leadership role in establishing new B.S. and Ph.D. degree programs. | Larry Robinson (chemist) | 0.777743 |
97,418 | Robinson, an African American, started his college education at LeMoyne-Owen College and graduated from Memphis State University now the University of Memphis, in 1979 with summa cum laude honors and a B.S. degree in chemistry. He received a Ph.D. in nuclear chemistry from Washington University in St. | Larry Robinson (chemist) | 0.777743 |
97,419 | One of Robinson's primary research interests is environmental chemistry, including the detection of trace elements in environmental matrices by nuclear methods. In 1991, while at ORNL, Robinson was a participant in a well-publicized investigation into the cause of the death of 19th-century U.S. President Zachary Taylor... | Larry Robinson (chemist) | 0.777743 |
97,420 | The molecule adopts a tetrahedral geometry with C3v symmetry. | Iodoform | 0.77774 |
97,421 | Iodoform (also known as triiodomethane) is the organoiodine compound with the chemical formula CHI3. It is a pale yellow, crystalline, volatile substance, with a penetrating and distinctive odor (in older chemistry texts, the smell is sometimes referred to as that of hospitals, where the compound is still commonly used... | Iodoform | 0.77774 |
97,422 | While the results suggest that economic development may drive academic construction safety research, there has been an increase in construction safety research conducted by developing countries in recent years, probably due to an improvement in their economic development. While authors’ keywords evidenced the popularit... | Construction safety | 0.77774 |
97,423 | This data will enable OSHA to use enforcement and compliance assistance resources more efficiently. The amount of data required varies by company and industry.According to the latest statistics from OSHA, there are more than 13 job-related deaths each day in the U.S. with one in five of these being in the construction ... | Construction safety | 0.77774 |
97,424 | In particle physics, the Klein–Nishina formula gives the differential cross section (i.e. the "likelihood" and angular distribution) of photons scattered from a single free electron, calculated in the lowest order of quantum electrodynamics. It was first derived in 1928 by Oskar Klein and Yoshio Nishina, constituting o... | Klein–Nishina formula | 0.777737 |
97,425 | A preliminary diagnosis can usually be made based on flock history, clinical signs and post-mortem (necropsy) examinations. However, definitive diagnosis can only be achieved by the specific detection and/or isolation and characterization of IBDV. Immunofluorescence or immunohistochemistry tests, based on anti-IBDV lab... | Infectious Bursal Disease virus | 0.777735 |
97,426 | One of the applications of Knudsen layer is in the coma of comets. It has been used specially in the coma chemistry model (ComChem model). == References == | Knudsen layer | 0.777735 |
97,427 | The National Geology and Mining Service (Spanish: Servicio Nacional de Geología y Minería; SERNAGEOMIN) is a Chilean government agency. Its function is to provide geological information and advice, technical assistance to government, public and private interests, and to regulate the mining industry in Chile. The servic... | National Geology and Mining Service | 0.777735 |
97,428 | This is in contrast to the simple logistic function in which both asymptotes are approached by the curve symmetrically. It is a special case of the generalised logistic function. The function was originally designed to describe human mortality, but since has been modified to be applied in biology, with regard to detail... | Gompertz function | 0.777733 |
97,429 | According to the European Food Safety Authority (EFSA), in 2007, the United Kingdom had 274,000 hives, Italy had 1,091,630, and France 1,283,810. In 2008, the British Beekeepers Association reported the bee population in the United Kingdom dropped by around 30% between 2007 and 2008, and an EFSA study revealed that in ... | Colony Collapse Disorder | 0.777733 |
97,430 | The National Agricultural Statistics Service (NASS) reported 2.44 million honey-producing hives were in the United States in February 2008, down from 4.5 million in 1980, and 5.9 million in 1947, though these numbers underestimate the total number of managed hives, as they exclude several thousand hives managed for pol... | Colony Collapse Disorder | 0.777733 |
97,431 | Davis received his undergraduate education at the University of Florida in Gainesville, Florida, his Juris Doctor at the University of Virginia School of Law, and his doctorate from Stanford University. From 2001-2004, Davis worked as a corporate lawyer at Gray, Cary, Ware & Freidenrich, LLC in Palo Alto, California ad... | Steve Davis (scientist) | 0.777732 |
97,432 | Steven J. Davis is an earth system scientist at the University of California, Irvine's Department of Earth System Science and holds a joint appointment in the Department of Civil and Environmental Engineering He is a highly cited researcher. | Steve Davis (scientist) | 0.777732 |
97,433 | The phenomenon is called the Wilson effect to acknowledge his early observations. In the eighteenth century, the social position of an observatory was greater than now: as Dava Sobel writes, "...The founding philosophy of the Royal Observatory, like that of the Paris Observatory before it, viewed astronomy as a means t... | Macfarlane Observatory | 0.777732 |
97,434 | In 1760 Alexander Wilson was installed as professor of practical astronomy. His interest in sun spots made the Observatory an early contributor to solar physics as Wilson described the surface of the Sun. Observing the variation in width of the penumbra of a sunspot near the limb, he concluded the sunspots were depress... | Macfarlane Observatory | 0.777732 |
97,435 | The Journal of Oil Palm Research (formerly known as Elaeis: The International Journal of Oil Palm Research and Development) is a quarterly peer-reviewed open-access scientific journal covering research on palm oil fats, oils, and oleo-chemistry. It is published by the Malaysian Palm Oil Board and the editor-in-chief is... | Journal of Oil Palm Research | 0.777731 |
97,436 | Packet concatenation is a computer networking optimization that coalesces multiple packets under a single header. The use of packet containment reduces the overhead at the physical and link layers. | Packet concatenation | 0.777728 |
97,437 | Herbert Edgar Wyndham was born in Manchester, England. While a student at Oxford in the 1930s, he took an interest in the work of genetic biologist Nathaniel Essex, and began experimenting with genetic manipulation, building a machine (that he called the genetic accelerator) with which he attempted to "evolve" the rats... | High Evolutionary | 0.777727 |
97,438 | The High Evolutionary has evolved his intelligence to the upper limit of human potential, and is the only human whose intelligence and knowledge has been listed as equal to certain cosmic entities. He is considered the leading geneticist in the Marvel universe, and is vastly knowledgeable in biology, chemistry, medicin... | High Evolutionary | 0.777727 |
97,439 | Livingston Robotics Club (LRC) is a robotics club in Livingston, New Jersey, that provides a community network to introduce Livingston area youth to robotics design and real-life science research, consistent with the vision of FIRST (For Inspiration and Recognition of Science and Technology). LRC is known for its membe... | Livingston Robotics Club | 0.777727 |
97,440 | The initiative to form a robotics club in Livingston was conceived when a team called Landroids was formed in 2007 to compete in FIRST LEGO League. LRC was formed with one team during 2007-2008 seasons. With Landroids' success in that season, LRC gained wider recognition especially in the local community. It later beca... | Livingston Robotics Club | 0.777727 |
97,441 | Exit 5A Robotics is an all-girls award-winning team formed with two Exit 5 FLL members from the 2013 FLL season and has competed in three FLL seasons and other competitions. The team has a total of eight 9th graders and is coached by Carmen Yung, Bill Lam, Jerry Siao and Holly Lam. Exit 6B Brobotics is an all-boys awar... | Livingston Robotics Club | 0.777727 |
97,442 | For the 2012 FLL Senior Solutions season, the team won the Champion's Award at the Hillsborough qualifier, a 2nd Place Champion's Award at the 2012 NJ state tournament and a 2nd Place Gracious Professionalism Award at the North American Open Championship. For the 2013 FLL Nature's Fury season, the team won the Project ... | Livingston Robotics Club | 0.777727 |
97,443 | Exit 5 Robotics is an all-girls robotics team originally formed in 2010 with four 4th graders and one 3rd grader from Harrison Elementary School in Livingston, NJ. After four seasons of FLL challenges and a 2014 MoonBots challenge, the team has transitioned to a FTC team (2014-2015) with twelve girls (four 8th, one 9th... | Livingston Robotics Club | 0.777727 |
97,444 | Olive). In 2009, the SciBoTechs won the Judge's Award at the Montclair qualifying tournament. The FLL team became inactive in 2010 as the members aged out and entered high school. Some of the members of SciBoTechs joined the Livingston High School FIRST Tech Challenge robotics teams, Lancers. | Livingston Robotics Club | 0.777727 |
97,445 | The Liberty Science Center exhibition was expanded to include Jr. FIRST LEGO League in 2009, added FIRST Tech Challenge (FTC) teams in 2010, and FIRST Robotics Competition (FRC) in 2012. In September 2010, at age 14, Landroids moved up to the FIRST Tech Challenge high school division, continued to participate in variou... | Livingston Robotics Club | 0.777727 |
97,446 | Landroids members had also compiled and conducted a 5-week long FLL orientation in a "kids teaching kids" format to mentor eight new FLL teams throughout NJ during the summer of 2009. This PowerPoint presentation was later translated to Thai in its entirety for Thailand to startup its FLL participation in its country d... | Livingston Robotics Club | 0.777727 |
97,447 | Landroids was formed in August 2007 by six 6th and 5th grade students from Livingston New Jersey area, and their parents. Originally registered under the name of Lancer Robotics Club following Livingston’s tradition to name teams in the town as Lancer, it was later formalized as "Livingston Robotics Club" at the end of... | Livingston Robotics Club | 0.777727 |
97,448 | LRC encourages forming new teams in the community. It has provided guidance and resources for starting robotics team. There were four teams in LRC during 2008-2009 season, expanded to 17 teams throughout NJ from Jr. FLL to FTC divisions, with more than 100 students and two dozen parent coaches in the 2011-2012 season. | Livingston Robotics Club | 0.777727 |
97,449 | "Atomic weights of the elements. Review 2000 (IUPAC Technical Report)". Pure and Applied Chemistry. 75 (6): 683–800. doi:10.1351/pac200375060683. | Tennessine-295 | 0.777727 |
97,450 | S2CID 250839471. Audi, Georges; Bersillon, Olivier; Blachot, Jean; Wapstra, Aaldert Hendrik (2003), "The NUBASE evaluation of nuclear and decay properties", Nuclear Physics A, 729: 3–128, Bibcode:2003NuPhA.729....3A, doi:10.1016/j.nuclphysa.2003.11.001 Isotopic compositions and standard atomic masses from: de Laeter, J... | Tennessine-295 | 0.777727 |
97,451 | Isotope masses from: M. Wang; G. Audi; A. H. Wapstra; F. G. Kondev; M. MacCormick; X. Xu; et al. (2012). "The AME2012 atomic mass evaluation (II). Tables, graphs and references" (PDF). Chinese Physics C. | Tennessine-295 | 0.777727 |
97,452 | In its use in Gothic church architecture, the three-cornered shape of the Reuleaux triangle may be seen both as a symbol of the Trinity, and as "an act of opposition to the form of the circle".The Reuleaux triangle has also been used in other styles of architecture. For instance, Leonardo da Vinci sketched this shape a... | Reuleaux triangle | 0.777726 |
97,453 | By many different measures, the Reuleaux triangle is one of the most extreme curves of constant width. By the Blaschke–Lebesgue theorem, the Reuleaux triangle has the smallest possible area of any curve of given constant width. This area is 1 2 ( π − 3 ) s 2 ≈ 0.705 s 2 , {\displaystyle {\frac {1}{2}}(\pi -{\sqrt {3}})... | Reuleaux triangle | 0.777726 |
97,454 | By Barbier's theorem all curves of the same constant width including the Reuleaux triangle have equal perimeters. In particular this perimeter equals the perimeter of the circle with the same width, which is π s {\displaystyle \pi s} .The radii of the largest inscribed circle of a Reuleaux triangle with width s, and of... | Reuleaux triangle | 0.777726 |
97,455 | The Reuleaux triangle may be constructed either directly from three circles, or by rounding the sides of an equilateral triangle.The three-circle construction may be performed with a compass alone, not even needing a straightedge. By the Mohr–Mascheroni theorem the same is true more generally of any compass-and-straigh... | Reuleaux triangle | 0.777726 |
97,456 | Placing the antennae on a curve of constant width causes the observatory to have the same spatial resolution in all directions, and provides a circular observation beam. As the most asymmetric curve of constant width, the Reuleaux triangle leads to the most uniform coverage of the plane for the Fourier transform of the... | Reuleaux triangle | 0.777726 |
97,457 | The Putative Holin-2 (PH-2) Family (TC# 9.B.154) is a large family with members from a wide variety of bacteria (i.e., Roseifoexus, Cupriavidus (Ralstonia), Opitutus, Bacteroides, Pirellula). As of early 2016, functional data is not available for members of the PH-2 family, but based on their size and topology, it is b... | Putative holin-2 family | 0.777725 |
97,458 | Exact statistical data is not available due to common mis-diagnosis, and setting up diagnostic criteria is important.The International Headache Classification established by the International Headache Society criteria for diagnosing SUNCT for therapeutic purposes is: (i) Type of attack – Attacks of unilateral orbital, ... | SUNCT syndrome | 0.777724 |
97,459 | A hemicucurbituril is a macrocycle composed of alternating methylene bridges (-CH2- units) and N-substituted ethylene urea units. Hemicucurbituril is a hexamer. This compound closely resembles cucurbituril cut in half along the equator and the chemistry is also similar. | Hemicucurbituril | 0.777723 |
97,460 | Garcia-Martinez, Javier; Serrano-Torregrosa, Elena (2015). Chemistry education: Best practices opportunities and trends. John Wiley and Sons. | SPRESI database | 0.777722 |
97,461 | The SPRESI data collection is one of the largest databases for organic chemistry worldwide. The database covers the scientific literature from 1974 to 2014, focusing on organic synthesis. It contains information on 5.8 million chemical structures and 4.6 million chemical reactions abstracted from 700,000 references. | SPRESI database | 0.777722 |
97,462 | The iron center in the ferrioxalate anion has a distorted octahedral geometry. The ferrioxalate complex has D3 molecular symmetry, within which the six Fe–O bond distances all close to 2.0 Å which indicates that the Fe(III) is high spin; as the low spin complex would display Jahn–Teller distortions. The ammonium and mi... | Ferrioxalate | 0.777722 |
97,463 | Unlike communication research, which focuses on trust, or computer science, which focuses on truth and logic, CSC focuses on cooperation and collaboration and decision making theory, which are more concerned with rendezvous and contract. For instance, auctions and market systems, which rely on bid and ask relationships... | Online collaboration | 0.777715 |
97,464 | Related fields are collaborative product development, CAD/CAM, computer-aided software engineering (CASE), concurrent engineering, workflow management, distance learning, telemedicine, medical CSCW and the real-time network conferences called MUDs (after "multi-user dungeons," although they are now used for more than g... | Online collaboration | 0.777715 |
97,465 | The cokernel of a linear mapping of vector spaces f: X → Y is the quotient space Y / im(f) of the codomain of f by the image of f. The dimension of the cokernel is called the corank of f. Cokernels are dual to the kernels of category theory, hence the name: the kernel is a subobject of the domain (it maps to the domain... | Cokernel | 0.777714 |
97,466 | Q-systems are a method of directed graph transformations according to given grammar rules, developed at the Université de Montréal by Alain Colmerauer in 1967–70 for use in natural language processing. The Université de Montréal's machine translation system, TAUM-73, used the Q-Systems as its language formalism. The da... | Q-systems | 0.77771 |
97,467 | For example, the median has a breakdown point of 0.5. The X% trimmed mean has a breakdown point of X%, for the chosen level of X. Huber (1981) and Maronna et al. (2019) contain more details. The level and the power breakdown points of tests are investigated in He, Simpson & Portnoy (1990). Statistics with high breakdow... | Influence function (statistics) | 0.77771 |
97,468 | If we replace the lowest observation, −44, by −1000, the mean becomes 11.73, whereas the 10% trimmed mean is still 27.43. In many areas of applied statistics, it is common for data to be log-transformed to make them near symmetrical. Very small values become large negative when log-transformed, and zeroes become negati... | Influence function (statistics) | 0.77771 |
97,469 | In mathematics, the Dixmier trace, introduced by Jacques Dixmier (1966), is a non-normal trace on a space of linear operators on a Hilbert space larger than the space of trace class operators. Dixmier traces are examples of singular traces. Some applications of Dixmier traces to noncommutative geometry are described in... | Dixmier trace | 0.777707 |
97,470 | All recipients are listed below, along with the years when no award was made. The first woman to receive the Gold Medal was Caroline Herschel in 1828. No other woman received the award until Vera Rubin in 1996. Margaret and Geoffrey Burbidge were jointly awarded the 2005 Gold Medal in astronomy, the first joint award s... | Gold Medal of the Royal Astronomical Society | 0.777704 |
97,471 | One medal per year was the usual practise, although two medals were awarded in both 1867 and 1886. To ensure balance in research areas, in 1964 the award was expanded to two medals per year, one in astronomy (including astrophysics, cosmology etc.) and one in geophysics (including planetary science, tectonics etc.), wh... | Gold Medal of the Royal Astronomical Society | 0.777704 |
97,472 | The Gold Medal of the Royal Astronomical Society is the highest award given by the Royal Astronomical Society (RAS). The RAS Council have "complete freedom as to the grounds on which it is awarded" and it can be awarded for any reason. Past awards have been given for "outstanding personal researches in the fields of as... | Gold Medal of the Royal Astronomical Society | 0.777704 |
97,473 | The Goldstine theorem states that the unit ball of a normed space is weakly*-dense in the unit ball of the bidual. In other words, for every x ″ {\displaystyle x''} in the bidual, there exists a net ( x i ) i ∈ I {\displaystyle \left(x_{i}\right)_{i\in I}} in X {\displaystyle X} so that The net may be replaced by a wea... | Banach space | 0.777704 |
97,474 | The open convex set lies strictly on one side of the hyperplane, the second convex set lies on the other side but may touch the hyperplane.A subset S {\displaystyle S} in a Banach space X {\displaystyle X} is total if the linear span of S {\displaystyle S} is dense in X . {\displaystyle X.} The subset S {\displaystyle ... | Banach space | 0.777704 |
97,475 | An important special case is the following: for every vector x {\displaystyle x} in a normed space X , {\displaystyle X,} there exists a continuous linear functional f {\displaystyle f} on X {\displaystyle X} such that When x {\displaystyle x} is not equal to the 0 {\displaystyle \mathbf {0} } vector, the functional f ... | Banach space | 0.777704 |
97,476 | {\displaystyle X.} The main tool for proving the existence of continuous linear functionals is the Hahn–Banach theorem. In particular, every continuous linear functional on a subspace of a normed space can be continuously extended to the whole space, without increasing the norm of the functional. | Banach space | 0.777704 |
97,477 | Finite dimensional Banach spaces are homeomorphic as topological spaces, if and only if they have the same dimension as real vector spaces. Anderson–Kadec theorem (1965–66) proves that any two infinite-dimensional separable Banach spaces are homeomorphic as topological spaces. Kadec's theorem was extended by Torunczyk,... | Banach space | 0.777704 |
97,478 | When the sequence { x n } {\displaystyle \left\{x_{n}\right\}} in X {\displaystyle X} is a weakly Cauchy sequence, the limit L {\displaystyle L} above defines a bounded linear functional on the dual X ′ , {\displaystyle X^{\prime },} that is, an element L {\displaystyle L} of the bidual of X , {\displaystyle X,} and L ... | Banach space | 0.777704 |
97,479 | A sequence { f n } {\displaystyle \left\{f_{n}\right\}} in the dual X ′ {\displaystyle X^{\prime }} is weakly* convergent to a functional f ∈ X ′ {\displaystyle f\in X^{\prime }} if f n ( x ) {\displaystyle f_{n}(x)} converges to f ( x ) {\displaystyle f(x)} for every x {\displaystyle x} in X . {\displaystyle X.} Weakl... | Banach space | 0.777704 |
97,480 | A Banach space isomorphic to ℓ 2 {\displaystyle \ell ^{2}} is homogeneous, and Banach asked for the converse. An infinite-dimensional Banach space is hereditarily indecomposable when no subspace of it can be isomorphic to the direct sum of two infinite-dimensional Banach spaces. The Gowers dichotomy theorem asserts tha... | Banach space | 0.777704 |
97,481 | In other words, Dvoretzky's theorem states that for every integer n , {\displaystyle n,} any finite-dimensional normed space, with dimension sufficiently large compared to n , {\displaystyle n,} contains subspaces nearly isometric to the n {\displaystyle n} -dimensional Euclidean space. The next result gives the soluti... | Banach space | 0.777704 |
97,482 | In the same article, Kwapień proved that the validity of a Banach-valued Parseval's theorem for the Fourier transform characterizes Banach spaces isomorphic to Hilbert spaces. Lindenstrauss and Tzafriri proved that a Banach space in which every closed linear subspace is complemented (that is, is the range of a bounded ... | Banach space | 0.777704 |
97,483 | Lambda (written λ, in lowercase) is a non-SI unit of volume equal to 10−9 m3, 1 cubic millimetre (mm3) or 1 microlitre (μL). Introduced by the BIPM in 1880, the lambda has been used in chemistry and in law for measuring volume, but its use is not recommended.This use of λ parallels the pre-SI use of μ on its own for a ... | Lambda (unit) | 0.777704 |
97,484 | The theorems can be simply derived by applying the differential operator ∂μ to both sides of the Schrödinger equation H | n ⟩ = E n | n ⟩ , {\displaystyle H|n\rangle =E_{n}|n\rangle ,} which reads Then overlap with the state ⟨ m | {\displaystyle \langle m|} from left and make use of the Schrödinger equation ⟨ m | H = ⟨... | Time-independent perturbation theory | 0.777703 |
97,485 | The above power series expansion can be readily evaluated if there is a systematic approach to calculate the derivates to any order. Using the chain rule, the derivatives can be broken down to the single derivative on either the energy or the state. The Hellmann–Feynman theorems are used to calculate these single deriv... | Time-independent perturbation theory | 0.777703 |
97,486 | From the differential geometric point of view, a parameterized Hamiltonian is considered as a function defined on the parameter manifold that maps each particular set of parameters ( x 1 , x 2 , ⋯ ) {\displaystyle (x^{1},x^{2},\cdots )} to an Hermitian operator H(x μ) that acts on the Hilbert space. The parameters here... | Time-independent perturbation theory | 0.777703 |
97,487 | The tail addition step in this synthesis (Scheme 6) was identical to that in the Nicolaou tail addition and was based on Oijma chemistry. The A ring was functionalized with a hydroxyl group through pyridinium chlorochromate oxidation of α-acylketone 49 to form ketone 50. Subsequent reduction using sodium borohydride pr... | Danishefsky Taxol total synthesis | 0.777703 |
97,488 | The second part of the B ring synthesis (Scheme 5) was concerned with correct chemistry for the newly formed ethylene bridge connecting the A and C rings. After Scheme 4, this bridge contained an exocyclic methylene group, but in the ultimate taxol molecule this bridge is an α-acylketone. The required conversion was ac... | Danishefsky Taxol total synthesis | 0.777703 |
97,489 | This compound is commercially available as a single enantiomer and the single chiral group present in this molecule is able to drive the entire sequence of organic reactions to a single optically active Taxol endproduct. The final step, the tail addition is identical to that of Nicolaou and is based on Ojima chemistry.... | Danishefsky Taxol total synthesis | 0.777703 |
97,490 | The Danishefsky Taxol total synthesis in organic chemistry is an important third Taxol synthesis published by the group of Samuel Danishefsky in 1996 two years after the first two efforts described in the Holton Taxol total synthesis and the Nicolaou Taxol total synthesis. Combined they provide a good insight in the ap... | Danishefsky Taxol total synthesis | 0.777703 |
97,491 | Treatment of this epoxide with aluminium isopropoxide gave allylic alcohol 8. Two more hydroxyl groups were added by oxidation of the newly formed double bond with a catalytic amount of osmium tetroxide in the presence of N-methylmorpholine N-oxide. This reaction lacked stereospecificity and the yield of triol 9 with t... | Danishefsky Taxol total synthesis | 0.777703 |
97,492 | Let Ω be an open subset of C {\displaystyle \mathbb {C} } and E a relatively closed subset of Ω. By Ω* is denoted the Alexandroff compactification of Ω. Arakelyan's theorem states that for every f continuous in E and holomorphic in the interior of E and for every ε > 0 there exists g holomorphic in Ω such that |g − f| ... | Arakelyan's theorem | 0.777701 |
97,493 | In mathematics, Arakelyan's theorem is a generalization of Mergelyan's theorem from compact subsets of an open subset of the complex plane to relatively closed subsets of an open subset. | Arakelyan's theorem | 0.777701 |
97,494 | The collection of MPD, however, is continuous and can cover the majority of the population. Also, since passive mobile positioning data is collected continuously by mobile network operators, it offers the possibility of generating statistics on a very granular level. Furthermore, it allows producing near real-time stat... | Mobile positioning data | 0.777701 |
97,495 | The digital footprint left by mobile device users is sensitive, but also highly valuable, as it provides new possibilities of measuring and monitoring the spatio-temporal activities of the population. This makes MPD a great data source for gathering statistics, as it can fill in the gaps where other data sources are la... | Mobile positioning data | 0.777701 |
97,496 | Mobile positioning data can be used in the production of official statistics. As at 2021, there are two countries in the world where statistics providers use passive mobile positioning data as part of the regular production of official tourism statistics: Estonia and Indonesia. Eesti Pank, the central bank of Estonia, ... | Mobile positioning data | 0.777701 |
97,497 | Mobile positioning data (MPD) is a form of big data which results from the high data volumes of mobile positioning – tracking the location of mobile phones.Mobile positioning data can be used for generating population and tourism statistics, for measuring human mobility, creating data-driven solutions in urban planning... | Mobile positioning data | 0.777701 |
97,498 | Elisenda Grigsby (2015), for her research in low-dimensional topology, particularly in knot theory and categorified invariants. Emmy Murphy (2017), for her research in symplectic geometry where she developed new techniques for studying symplectic manifolds and contact geometry. Kathryn Mann (2019), for "major breakthro... | Joan & Joseph Birman Research Prize in Topology and Geometry | 0.777701 |
97,499 | The Joan & Joseph Birman Research Prize in Topology and Geometry is a prize given every other year by the Association for Women in Mathematics to an outstanding young female researcher in topology or geometry. The prize fund for the award was endowed by a donation in 2013 from Joan Birman and her husband, Joseph Birman... | Joan & Joseph Birman Research Prize in Topology and Geometry | 0.777701 |
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