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Graduated non-convexity (GNC) is a general-purpose framework for solving non-convex optimization problems without initialization. It has achieved success in early vision and machine learning applications. The key idea behind GNC is to solve the hard non-convex problem by starting from an easy convex problem. Specifical...
Point-set registration
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This result is due to Theodor Schneider. Exponential function in base 2: This result is a corollary of the Gelfond–Schneider theorem, which states that if α ≠ 0 , 1 {\displaystyle \alpha \neq 0,1} is algebraic, and β {\displaystyle \beta } is algebraic and irrational then α β {\displaystyle \alpha ^{\beta }} is transce...
Transcendental function
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The overall yield may be as great as 22%, which makes this synthetic approach more attractive than extraction from natural sources, whose overall yield is about 10%. Stereochemistry is controlled through a mixture of chiral agents (Sharpless catalysts), and reaction conditions (temperature, and selected enantiopure sta...
Vinblastine sulfate
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Other products that, like Disk Manager from OnTrack Computer Systems, perform hard drive geometry translation to circumvent BIOS limitations: SpeedStor from Storage Dimensions EZ-Drive from Micro House (also distributed by Western Digital)
Disk Manager
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Most of the no-go theorems constrain interactions in the flat space. One of the most well-known is the Weinberg low energy theorem that explains why there are no macroscopic fields corresponding to particles of spin 3 or higher. The Weinberg theorem can be interpreted in the following way: Lorentz invariance of the S-m...
Higher-spin theory
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This necessity for funds all but stopped the continuation of these strains of mice. The transition for these laboratories to exporters of massive quantities of mice was one that was rather easily made if there were adequate facilities for their production on site. Eventually in the mid-1930s the market would return and...
History of model organisms
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Clustering, using genetic algorithms to optimize a wide range of different fit-functions. Multidimensional systems Multimodal Optimization Multiple criteria production scheduling Multiple population topologies and interchange methodologies Mutation testing Parallelization of GAs/GPs including use of hierarchical decomp...
List of genetic algorithm applications
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Bekić's theorem can be applied repeatedly to find the least fixed point of a tuple in terms of least fixed points of single variables. Although the resulting expression might become rather complex, it can be easier to reason about fixed points of single variables when designing an automated theorem prover. == Reference...
Bekić's theorem
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Sakurai, J. J. (1985). Tuan, San Fu (ed.). Modern Quantum Mechanics (1st ed.).
Modern Quantum Mechanics
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In machine learning and data mining, a string kernel is a kernel function that operates on strings, i.e. finite sequences of symbols that need not be of the same length. String kernels can be intuitively understood as functions measuring the similarity of pairs of strings: the more similar two strings a and b are, the ...
String kernel
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In principle, maximum entropy thermodynamics does not refer narrowly and only to classical thermodynamic entropy. It is about informational entropy applied to physics, explicitly depending on the data used to formulate the problem at hand.
Maximum entropy thermodynamics
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In a poker deck with a single wild joker, there are 204 hands that are at least as good as a straight flush. Model 204 is a database management system. == References ==
204 (number)
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Observations from the James Clerk Maxwell Telescope in 1997 revealed an "elongated bright central region" that peaked at 9″ (70 AU) to the northeast of Vega. This was hypothesized as either a perturbation of the dust disk by a planet or else an orbiting object that was surrounded by dust. However, images by the Keck te...
Vega b
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Therefore, there exists a fixed point in r {\displaystyle r} and a Nash equilibrium.When Nash made this point to John von Neumann in 1949, von Neumann famously dismissed it with the words, "That's trivial, you know. That's just a fixed-point theorem." (See Nasar, 1998, p. 94.)
Nash Equilibrium
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PPC Ads are triggered to appear on search engine pages when Users search with keywords which match those selected by the PPC Advertiser. When PPC Ads are clicked on they take the User through to a designated page on the advertiser’s website and a fee is paid to the search engine for the click. At the heart of Ad Text O...
Ad text optimization
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Łoś's theorem, also called the fundamental theorem of ultraproducts, is due to Jerzy Łoś (the surname is pronounced , approximately "wash"). It states that any first-order formula is true in the ultraproduct if and only if the set of indices i {\displaystyle i} such that the formula is true in M i {\displaystyle M_{i}}...
Ultraproduct monad
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This paper predicted that, when measured in the frame of a relatively moving observer, a clock carried by a moving body would appear to slow down, and the body itself would contract in its direction of motion. This paper also argued that the idea of a luminiferous aether—one of the leading theoretical entities in physi...
Albert Einstein
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Classically the theta characteristics were divided into these two kinds, odd and even, according to the value of the Arf invariant of a certain quadratic form Q with values mod 2. Thus in case of g = 3 and a plane quartic curve, there were 28 of one type, and the remaining 36 of the other; this is basic in the question...
Theta characteristic
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Tables of two-associate-class partially balanced designs, WH Clatworthy, JM Cameron, RC Bose, JA … - 1973 - US Dept. of Commerce, National … Some Theorems for Partially Balanced Designs, W. S. Connor and W. H. Clatworthy, Ann. Math. Statist. Volume 25, Number 1 (1954), 100-112.
W. H. Clatworthy
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These include the Merck Manual of Diagnosis and Therapy, the world's best-selling medical reference. The Merck Index, a compendium of chemical compounds, was published by Merck & Co. until it was acquired by the Royal Society of Chemistry in 2012.
Merck & Co.
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Michio Kaku also considers that the development of civilizations obeys the "iron laws of physics" and in particular the laws of thermodynamics, those of stable matter (baryonic matter) and those of planetary evolution (probability of occurrence of natural or cosmic catastrophes). The entropic principle also makes it po...
Kardashev scale
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It is nonmeagre since 1 {\displaystyle 1} is an isolated point.The following are examples of Baire spaces for which the Baire category theorem does not apply, because these spaces are not locally compact and not completely metrizable: The Sorgenfrey line. The Sorgenfrey plane. The Niemytzki plane.
Baire category theory
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Crozier suggests that Cultural Selection emerges from three bases: Social contagion theory, Evolutionary epistemology, and Memetics.This theory is an extension of memetics. In memetics, memes, much like biology's genes, are informational units passed through generations of culture. However, unlike memetics, cultural se...
Cultural selection theory
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Wherever eigenvalues are considered, as these are roots of a polynomial they may exist only in a larger field than that of the entries of the matrix; for instance, they may be complex in the case of a matrix with real entries. The possibility to reinterpret the entries of a matrix as elements of a larger field (for exa...
Principal submatrix
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The Computer Security and Industrial Cryptography research group, commonly called COSIC, is a research group at the Department of Electrical Engineering of KU Leuven, which is headed by Bart Preneel.
COSIC
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confidence intervals are more flexible and can be used practically in more situations than credible intervals: one area where credible intervals suffer in comparison is in dealing with non-parametric models (see non-parametric statistics).There should be ways of testing the performance of interval estimation procedures...
Statistical interval
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Suppose that X is a non-singular n-dimensional projective algebraic variety over the field Fq with q elements. The zeta function ζ(X, s) of X is by definition ζ ( X , s ) = exp ⁡ ( ∑ m = 1 ∞ N m m q − m s ) {\displaystyle \zeta (X,s)=\exp \left(\sum _{m=1}^{\infty }{\frac {N_{m}}{m}}q^{-ms}\right)} where Nm is the numb...
Weil conjectures
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Crucially, these arguments were meant to apply at the microscopic level and suggested that black-hole evaporation is not only thermodynamically irreversible but microscopically irreversible. This contradicts the principle of unitarity described above and leads to the information paradox. Since the paradox suggested tha...
Black hole information paradox
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No LT property other than ( 2 A P ) ω {\displaystyle (2^{AP})^{\omega }} (the set of all words over 2 A P {\displaystyle 2^{AP}} ) is both a safety and a liveness property. Though not every property is a safety property or a liveness property (consider "a occurs exactly once"), every property is the intersection of a s...
Linear time property
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The electric and magnetic fields are dependent on the velocity of an observer, so the relativistic form of the Lorentz force law can best be exhibited starting from a coordinate-independent expression for the electromagnetic and magnetic fields F {\displaystyle {\mathcal {F}}} , and an arbitrary time-direction, γ 0 {\d...
Lorentz Force
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Process analytical chemistry (PAC) is the application of analytical chemistry with specialized techniques, algorithms, and sampling equipment for solving problems related to chemical processes. It is a specialized form of analytical chemistry used for process manufacturing similar to process analytical technology (PAT)...
Process analytical chemistry
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Agricultural engineering – engineering discipline that applies engineering science and technology to agricultural production and processing. Agricultural Machinery – machinery used in the operation of an agricultural area or farm. Bioprocess Engineering – specialization of Biotechnology, Chemical Engineering or of Agri...
Agricultural resources
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In the late of the 20th century, the introduction of industrial robots further increased factory automation. Typical applications of robots include welding, painting, assembly, pick and place (such as packaging, palletizing and SMT), product inspection, and testing. As a result of this introduction the machine shop als...
Machine Shop
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Smooth morphisms are supposed to geometrically correspond to smooth submersions in differential geometry; that is, they are smooth locally trivial fibrations over some base space (by Ehresmann's theorem).
Formally smooth morphism
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Robbins algebras are named after him because of a conjecture (since proved) that he posed concerning Boolean algebras. The Robbins theorem, in graph theory, is also named after him, as is the Whitney–Robbins synthesis, a tool he introduced to prove this theorem. The well-known unsolved problem of minimizing in sequenti...
Herbert Robbins
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In 1890 the Rana Prime minister, Chandra Samser was the first Nepali to pass the matriculation examination from the Calcutta University with mathematics. Naya Raj Pant (1913–2002) was the first person to graduate in mathematics from Tribhuwan University. He also used his skill in astronomy to decide the historical even...
Mathematics in Nepal
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Ether cleavage refers to chemical substitution reactions that lead to the cleavage of ethers. Due to the high chemical stability of ethers, the cleavage of the C-O bond is uncommon in the absence of specialized reagents or under extreme conditions.In organic chemistry, ether cleavage is an acid catalyzed nucleophilic s...
Ether cleavage
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Richard Gordon Swan (; born 1933) is an American mathematician who is known for the Serre–Swan theorem relating the geometric notion of vector bundles to the algebraic concept of projective modules, and for the Swan representation, an l-adic projective representation of a Galois group. His work has mainly been in the a...
Richard Swan
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Yet, there is no guarantee that every point of the locale Ω(X) is in one-to-one correspondence to a point of the topological space X (consider again the indiscrete topology, for which the open set lattice has only one "point"). Before defining the required topology on pt(X), it is worthwhile to clarify the concept of a...
Stone duality
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There is an account of McKendrick's Applications paper in J. O. Irwin The Place of Mathematics in Medical and Biological Statistics, Journal of the Royal Statistical Society. Series A (General), Vol. 126, No. 1. (1963), pp. 1–45.
Anderson Gray McKendrick
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The major components are an aquarium, usually made from glass or acrylic, filtration equipment, lighting, and an aquarium heater. Marine aquariums can range in volume from less than 80 litres, (< 20 US gal) to over 1,200 litres (300 US gal). Small volumes are more difficult to maintain due to the more rapid changes in ...
Saltwater aquarium
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In solar physics, Hale's law, also known as Hale's polarity law or the Hale–Nicholson law, describes the tendency for bipolar active regions within the same northern or southern heliographic hemisphere to have the same leading magnetic polarity with respect to the solar rotation, and for those in the opposite hemispher...
Hale's law
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When two remote parties share two non-orthogonal quantum states, attempts by an eavesdropper to distinguish between these by measurements will affect the system and this can be detected. While many quantum cryptography protocols have relied on 1-qubit technologies, employing higher-dimensional states, such as qutrits, ...
Mutually unbiased bases
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Ernst Peter Fischer and Carol Lipson: Thinking About Science. Max Delbrück and the Origins of Molecular Biology. Rezension W.W. Norton & Company, New York 1988, ISBN 978-0-393-02508-8
Ernst Peter Fischer
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Pasteurization Flash pasteurization Food preservation Microwave chemistry Dielectric heating == References ==
Microwave volumetric heating
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In acronyms both parts are usually capitalized, such as VŠCHT for Vysoká škola chemicko-technologická (University of Chemistry and Technology). However, the practice is not unified when writing initial letters of personal names (first name and surname), for example Jan Chudoba can be abbreviated both J. Ch. or J. CH.
Mixed case
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The utilization of graph theory in neuroscience studies has been actively applied after the discovery of functional brain networks. In graph theory, an N × N adjacency matrix (also called a connection matrix) with the elements of zero or non-zero indicates the absence or presence of a relationship between the vertices ...
Network neuroscience
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There are some general practices used, however, including the idea that a newly defined genus should fulfill these three criteria to be descriptively useful: monophyly – all descendants of an ancestral taxon are grouped together (i.e. phylogenetic analysis should clearly demonstrate both monophyly and validity as a sep...
Genus
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Let X {\displaystyle X} and Y {\displaystyle Y} be compact metric spaces, and let f: X → Y {\displaystyle f:X\to Y} be surjective and continuous. Suppose that the fibers of f {\displaystyle f} are acyclic, so that H ~ r ( f − 1 ( y ) ) = 0 , {\displaystyle {\tilde {H}}_{r}(f^{-1}(y))=0,} for all 0 ≤ r ≤ n − 1 {\display...
Vietoris–Begle mapping theorem
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κ is inaccessible and the infinitary language Lκ,κ satisfies the weak compactness theorem. κ is inaccessible and the infinitary language Lκ,ω satisfies the weak compactness theorem. κ is inaccessible and for every transitive set M {\displaystyle M} of cardinality κ with κ ∈ M {\displaystyle \in M} , < κ M ⊂ M {\display...
Weakly compact cardinal
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The nested sequent calculus is a formalisation that resembles a 2-sided calculus of structures.
Display logic
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Eliminativists argue that commonsense "folk" psychology has failed and will eventually need to be replaced by explanations derived from neuroscience. These philosophers therefore tend to emphasize the importance of neuroscientific research as well as developments in artificial intelligence. Philosophers who argue again...
Eliminative materialism
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A monomer with functionality of 3 or more will introduce branching in a polymer and will ultimately form a cross-linked macrostructure or network even at low fractional conversion. The point at which a tree-like topology transits to a network is known as the gel point because it is signalled by an abrupt change in visc...
Step-growth polymerisation
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Riemann's description of the theorem and its proof reads in full: ... infinite series fall into two distinct classes, depending on whether or not they remain convergent when all the terms are made positive. In the first class the terms can be arbitrarily rearranged; in the second, on the other hand, the value is depend...
Riemann series theorem
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Neurorobotics is the study of how neural systems can be embodied and movements emulated in mechanical machines. Neurorobots are typically used to study motor control and locomotion, learning and memory selection, and value systems and action selection. By studying neurorobots in real-world environments, they are more e...
Neural Engineering
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Using LNA based oligonucleotides therapeutically is an emerging field in biotechnology. A variety of LNA oligonucleotides have been assessed for their pharmacokinetic and toxicity profiles. Studies concluded that LNA toxicity is generally independent of oligonucleotide sequence, and displays a preferential safety profi...
Locked nucleic acid
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92,156
He was appointed the Professor of Geometry at Gresham College in 2016, where he delivered a series of public lectures on Mathematics and the Making of the Modern World.His research interests involve the analysis, application and numerical analysis of the solution of nonlinear differential equations with a particular em...
Christopher Budd (mathematician)
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Biocultural evolution was introduced and first used in the 1970s. Biocultural methods focus on the interactions between humans and their environment to understand human biological adaptation and variation. These studies: "research on questions of human biology and medical ecology that specifically includes social, cult...
Race and health
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Thinking of the free vector space as K-valued functions on G, the algebra multiplication is convolution of functions. While the group algebra of a finite group can be identified with the space of functions on the group, for an infinite group these are different. The group algebra, consisting of finite sums, corresponds...
Group ring
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This would be the First (of what since then has become the biennial) Texas Symposium on Relativistic Astrophysics.Kerr presented to the Symposium his solution to the Einstein field equations. S. Chandrasekhar (Nobel laureate, 1983) is quoted as having said: "In my entire scientific life, extending over forty-five years...
Roy Kerr
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Mu-metal has several compositions. One such composition is approximately 77% nickel, 16% iron, 5% copper, and 2% chromium or molybdenum.More recently, mu-metal is considered to be ASTM A753 Alloy 4 and is composed of approximately 80% nickel, 5% molybdenum, small amounts of various other elements such as silicon, and 1...
Mu metal
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Coherent Stokes Raman spectroscopy (CSRS pronounced as "scissors") is a form of spectroscopy used primarily in chemistry, physics and related fields. It is closely related to Raman spectroscopy and lasing processes. It is very similar to Raman spectroscopy, but involves a lasing process that dramatically improves the s...
Coherent anti-Stokes Raman spectroscopy
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Additionally, viable microbial cells act as chemical catalyzers interfering with atmospheric chemistry. The constant flux of bacteria from the atmosphere to the Earth's surface due to precipitation and dry deposition can also affect global biodiversity, but they are rarely taken into account when conducting ecological ...
Aeroplankton
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A complete answer to the question of which ideals remain prime in the Gaussian integers is provided by Fermat's theorem on sums of two squares. It implies that for an odd prime number p, pZ is a prime ideal if p ≡ 3 (mod 4) and is not a prime ideal if p ≡ 1 (mod 4).
Infinite place
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The pseudonym "Herbert Schlangemann" was used to publish fake scientific articles in international conferences that claimed to practice peer review. The name is taken from the Swedish short film Der Schlangemann. In 2008, in response to a series of Call-for-Paper e-mails, SCIgen was used to generate a false scientific ...
SCIgen
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DGTRec (Dynamic Global Topology Recreation):Periodically, wake up all inactive nodes, reset the existing reduced topology in the network and apply a topology construction protocol. SGTRot (Static Global Topology Rotation):Initially, the topology construction protocol must create more than one reduced topology (hopefull...
Topology control
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In biology, axenic (, ) describes the state of a culture in which only a single species, variety, or strain of organism is present and entirely free of all other contaminating organisms. The earliest axenic cultures were of bacteria or unicellular eukaryotes, but axenic cultures of many multicellular organisms are also...
Axenic
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Various simulators can be involved in a space mapping optimization and modeling processes. In the microwave and radio frequency (RF) area Keysight ADS Keysight Momentum Ansys HFSS CST Microwave Studio FEKO Sonnet em
Space mapping
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Chem., 124, 751 (1993) H. Falk and A. Suste, On the Chemistry of Pyrrole Pigments, XC: Pyridinologous Linear Tri- and Tetrapyrroles. Monatsh. Chem., 124, 881 (1993) H. Falk, J. Meyer and M. Oberreiter, A Convenient Semisynthetic Route to Hypericin.
Heinz Falk
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Search for a transistor with the desired sonic characteristics led Naim to Semelab, who had created a device working at a combination of higher current and lower operating voltage. To accommodate the operating parameters, Naim opted for a bridge-mode topology. The output devices chosen, rated at 350W–70amp, are used si...
Naim Audio amplification
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In a letter to the editor, Kass made a moral case against cloning and suggested that "the programmed reproduction of man will, in fact, dehumanize him." Thus began a second career of writing on bioethics, including essays on organ transplantation, genetic screening, in vitro fertilization, cloning, the conquest of agin...
Leon Kass
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Physicists' interest in the social sciences is not new (see e.g.,); Daniel Bernoulli, as an example, was the originator of utility-based preferences. One of the founders of neoclassical economic theory, former Yale University Professor of Economics Irving Fisher, was originally trained under the renowned Yale physicist...
Econophysics
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In 1972, Bardeen shared the Nobel Prize in Physics with Leon N Cooper of Brown University and John Robert Schrieffer of the University of Pennsylvania "for their jointly developed theory of superconductivity, usually called the BCS-theory". This was Bardeen's second Nobel Prize in Physics. He became the first person to...
John Bardeen
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They all contain mistakes – altogether many thousands of mistakes. It is not an easy task to reconstruct the original words of the New Testament...." In reference to the textual evidence for the New Testament, Bruce M. Metzger wrote, In evaluating the significance of these statistics...one should consider, by way of co...
Hebrew Bible manuscripts
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While many architectural lighting designers have a background in electrical engineering, architectural engineering, architecture, or luminaire manufacturing, several universities and technical schools now offer degree programs specifically in architectural lighting design.
Architectural lighting
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In mathematics, there are such concepts as the Rajchman global uniqueness theorem, Rajchman measures, Rajchman collection, Rajchman algebras, Rajchman sharpened law of large numbers, Rajchman theory of formal multiplication of trigonometric series, Rajchman inequalities, and Rajchman-Zygmund inequalities. Near a Rajchm...
Aleksander Rajchman
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Height (ring theory) Depth (ring theory) Hilbert polynomial Regular local ring Discrete valuation ring Global dimension Regular sequence (algebra) Krull dimension Krull's principal ideal theorem
List of commutative algebra topics
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Fredrik Carl Mülertz Størmer (3 September 1874 – 13 August 1957) was a Norwegian mathematician and astrophysicist. In mathematics, he is known for his work in number theory, including the calculation of π and Størmer's theorem on consecutive smooth numbers. In physics, he is known for studying the movement of charged p...
Carl Størmer
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in electrical engineering in 1991 from Lehigh University in Bethlehem, Pennsylvania. He then received a Ph.D. in electrical engineering in 1996 from the University of Maryland, College Park. While at UMD in 1992, Bader was awarded a NASA Graduate Student Researchers Fellowship by Gerald Soffen, project scientist for th...
David Bader (computer scientist)
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octavo) Letters of Euler to a German Princess on Different Subjects of Physics and Philosophy (London, 1795, in 2 vols.) Anleitung zur Algebra Elements of Algebra (St Petersburg, 1770, in octavo); Dioptrica (St Petersburg, 1767–1771, in 3 vols. quarto) Theoria motuum lunge nova methodo pertr.
Contributions of Leonhard Euler to mathematics
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Finally, for a proper curve over an Artinian ring, the Euler characteristic of the line bundle associated to a divisor is given by the degree of the divisor (appropriately defined) plus the Euler characteristic of the structural sheaf O {\displaystyle {\mathcal {O}}} .The smoothness assumption in the theorem can be rel...
Riemann–Roch formula
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Fermat's Last Theorem has also been proven for the exponents n = 6, 10, and 14. Proofs for n = 6 have been published by Kausler, Thue, Tafelmacher, Lind, Kapferer, Swift, and Breusch. Similarly, Dirichlet and Terjanian each proved the case n = 14, while Kapferer and Breusch each proved the case n = 10.
Proof of Fermat's Last Theorem for specific exponents
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A standard application of the nerve theorem shows that the union of balls has the same homotopy type as its nerve, since closed balls are convex and the intersection of convex sets is convex. The nerve of the union of balls is also known as the Čech complex, which is a subcomplex of the Vietoris-Rips complex. Therefore...
Offset Filtration
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William Bateson (8 August 1861 – 8 February 1926) was an English biologist who was the first person to use the term genetics to describe the study of heredity, and the chief populariser of the ideas of Gregor Mendel following their rediscovery in 1900 by Hugo de Vries and Carl Correns. His 1894 book Materials for the S...
Bateson's rule
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The Hawaii Ocean Time-series (HOT) program is a long-term oceanographic study based at the University of Hawaii at Manoa. In 2015, the American Society for Microbiology designated the HOT Program's field site Station ALOHA (A Long-Term Oligotrophic Habitat Assessment; (22°45′N 158°00′W)) a "Milestone in Microbiology", ...
Hawaii Ocean Time-series
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The topology of a second-countable T1 space has cardinality less than or equal to c (the cardinality of the continuum). Any base for a second-countable space has a countable subfamily which is still a base. Every collection of disjoint open sets in a second-countable space is countable.
Second countable space
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DiskSpd is a free and open-source command-line tool for storage benchmarking on Microsoft Windows that generates a variety of requests against computer files, partitions or storage devices and presents collected statistics as text in the command-line interface or as an XML file.
DiskSpd
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Industrial and Engineering Chemistry, 16, 925–6. Sherman, H. C., Thomas, A. W., & Caldwell, M. I. (1924).
Arthur W. Thomas
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Google's most efficient data center runs at 35 °C (95 °F) using only fresh air cooling, requiring no electrically powered air conditioning.In December 2016, Google announced that—starting in 2017—it would purchase enough renewable energy to match 100% of the energy usage of its data centers and offices. The commitment ...
Google search technology
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Quantemol-Virtual Tool is an expert software system for the simulation of industrial plasma processing tools. Q-VT builds upon the comprehensively validated Hybrid Plasma Equipment Model (HPEM) codes developed by renowned plasma physicist Professor Mark Kushner for simulating non-equilibrium low pressure (up to 1 Torr)...
Quantemol-DB
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HBase is now serving several data-driven websites but Facebook's Messaging Platform migrated from HBase to MyRocks in 2018. Unlike relational and traditional databases, HBase does not support SQL scripting; instead the equivalent is written in Java, employing similarity with a MapReduce application. In the parlance of ...
Apache HBase
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Natural population analysis assigned a negative partial charge to the terminal phosphorus atom (-0.34 q) and a positive charge to the tri-coordinated phosphorus atom (1.16 q). Despite the negative charge on the terminal phosphorus atom, subsequent studies have shown that this particular phosphinidene is electrophilic a...
Phosphinidene
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One famous counterexample in topology is the Alexander horned sphere, showing that topologically embedding the sphere S2 in R3 may fail to separate the space cleanly. As a counterexample, it motivated mathematicians to define the tameness property, which suppresses the kind of wild behavior exhibited by the horned sphe...
Pathological (mathematics)
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Ulanowicz uses techniques from information theory and thermodynamics to study the organization of flows of energy and nutrients within ecosystems. Although his ideas have been primarily applied in ecology, many of his concepts are abstract and have been applied to other areas in which flow networks arise, such as psych...
Robert Ulanowicz
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In a 1964 editorial published in Science magazine, Abelson identified overspecialization in science as a form of bigotry. He outlined his view that the pressure towards specialization beginning in undergraduate study and intensifying in PhD programs leads students to believe that their area of specialization is the mos...
Philip Abelson
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A related concept is the law of likelihood, the notion that the extent to which the evidence supports one parameter value or hypothesis against another is indicated by the ratio of their likelihoods, their likelihood ratio. That is, Λ = L ( a ∣ X = x ) L ( b ∣ X = x ) = P ( X = x ∣ a ) P ( X = x ∣ b ) {\displaystyle \L...
Likelihood principle
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92,196
An early appreciation of the role of motion in geometry was given by Alhazen (965 to 1039). His work "Space and its Nature" uses comparisons of the dimensions of a mobile body to quantify the vacuum of imaginary space. He was criticised by Omar Khayyam who pointed that Aristotle had condemned the use of motion in geome...
Group of motions
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H. C. Bolton, A select bibliography of chemistry, Washington 1893 (= Smithsonian Miscellaneous Collections, vol. XXXVI), p. 1051–1058 J. Ferguson, Bibliotheca chemica, Glasgow 1906, vol. 2, p.
Theatrum Chemicum
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The geometry is the main lead to natural resources exploration.For example, the oil geologists are looking for permeable layers of particular geometry, which allows keeping the oil in place (for instance, the domed shape anticlinal trap). The ore geologists are looking for faults in the sediments – the ways, which deli...
Perspective geological correlation
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CISM – Community Ice Sheet Model, under development as a land-ice component of the Community Earth System Model (CESM). Elmer/Ice, a multi-physics finite element code with special modules for full-stress ice dynamics analysis ISSM – Ice Sheet System Model, a multi-purpose massively parallelized finite element framework...
Ice sheet model
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