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https://en.wikipedia.org/wiki/SHC
SHC may refer to: Science Src homology 2 domain-containing, in structural biology, a structural domain in signal transduction proteins SHC1, a human gene Sirohydrochlorin, a chemical precursor to various enzymes. Specific heat capacity, in physics, a substance's heat capacity per unit mass, usually denoted by the symbol c or s Spontaneous human combustion, a theory that, under certain conditions, a human being may burn without any apparent external source of ignition Schools Spring Hill College, a predominantly undergraduate Jesuit university in Mobile, Alabama Schreyer Honors College, an honors program at the Pennsylvania State University Stanford Humanities Center, a humanities organization located at Stanford University Sacred Heart Cathedral Preparatory, a co-ed Catholic school in San Francisco, California, United States Sacred Heart College, Auckland, a Catholic, Marist secondary school in Auckland, New Zealand Religion Sacred Heart Cathedral (disambiguation), a name for multiple Catholic cathedrals Society of the Holy Cross (Korea), an order of nuns in the Anglican Church of Korea Other uses Canadian Historical Association (Société historique du Canada) Serving His Children, a Christian nonprofit organization based in Uganda Shc (shell script compiler) for Unix-like operating systems South Health Campus, in Calgary, Alberta, Canada A song on the Sacred Hearts Club album by Foster the People
https://en.wikipedia.org/wiki/Clairaut%27s%20theorem%20%28gravity%29
Clairaut's theorem characterizes the surface gravity on a viscous rotating ellipsoid in hydrostatic equilibrium under the action of its gravitational field and centrifugal force. It was published in 1743 by Alexis Claude Clairaut in a treatise which synthesized physical and geodetic evidence that the Earth is an oblate rotational ellipsoid. It was initially used to relate the gravity at any point on the Earth's surface to the position of that point, allowing the ellipticity of the Earth to be calculated from measurements of gravity at different latitudes. Today it has been largely supplanted by the Somigliana equation. History Although it had been known since antiquity that the Earth was spherical, by the 17th century evidence was accumulating that it was not a perfect sphere. In 1672 Jean Richer found the first evidence that gravity was not constant over the Earth (as it would be if the Earth were a sphere); he took a pendulum clock to Cayenne, French Guiana and found that it lost minutes per day compared to its rate at Paris. This indicated the acceleration of gravity was less at Cayenne than at Paris. Pendulum gravimeters began to be taken on voyages to remote parts of the world, and it was slowly discovered that gravity increases smoothly with increasing latitude, gravitational acceleration being about 0.5% greater at the poles than at the equator. British physicist Isaac Newton explained this in his Principia Mathematica (1687) in which he outlined his theory a
https://en.wikipedia.org/wiki/Biointensive%20agriculture
Biointensive agriculture is an organic agricultural system that focuses on achieving maximum yields from a minimum area of land, while simultaneously increasing biodiversity and sustaining the soil fertility. The goal of the method is long term sustainability on a closed system basis. It is particularly effective for backyard gardeners and smallholder farmers in developing countries, and also has been used successfully on small-scale commercial farms. History Many of the techniques that contribute to the biointensive method were present in the agriculture of the ancient Chinese, Greeks, Mayans, and of the Early Modern period in Europe, as well as in West Africa (Tapades of Fouta Djallon) from at least the late 18th century. Sustainable bio-intensive farming (BIF) system, which emphasizes biodiversity conservation; recycling of nutrients; synergy among crops, animals, soils, and other biological components; and regeneration and conservation of resources is a type of agro-ecological approach. This alternative can approach that can appropriately address the central issue of hunger, poverty, food / nutrition insecurity and livelihoods (Rajbhandari, 1999). System The biointensive method provides many benefits as compared with conventional farming and gardening methods, and is an inexpensive, easily implemented sustainable production method that can be used by people who lack the resources (or desire) to implement commercial chemical and fossil-fuel-based forms of agriculture.
https://en.wikipedia.org/wiki/Critical%20variable
Critical variables are defined, for example in thermodynamics, in terms of the values of variables at the critical point. On a PV diagram, the critical point is an inflection point. Thus: For the van der Waals equation, the above yields: Thermodynamic properties Conformal field theory
https://en.wikipedia.org/wiki/Implicit%20surface
In mathematics, an implicit surface is a surface in Euclidean space defined by an equation An implicit surface is the set of zeros of a function of three variables. Implicit means that the equation is not solved for or or . The graph of a function is usually described by an equation and is called an explicit representation. The third essential description of a surface is the parametric one: , where the -, - and -coordinates of surface points are represented by three functions depending on common parameters . Generally the change of representations is simple only when the explicit representation is given: (implicit), (parametric). Examples: The plane The sphere The torus A surface of genus 2: (see diagram). The surface of revolution (see diagram wineglass). For a plane, a sphere, and a torus there exist simple parametric representations. This is not true for the fourth example. The implicit function theorem describes conditions under which an equation can be solved (at least implicitly) for , or . But in general the solution may not be made explicit. This theorem is the key to the computation of essential geometric features of a surface: tangent planes, surface normals, curvatures (see below). But they have an essential drawback: their visualization is difficult. If is polynomial in , and , the surface is called algebraic. Example 5 is non-algebraic. Despite difficulty of visualization, implicit surfaces provide relatively simple techniques to generat
https://en.wikipedia.org/wiki/Friction%20factor
Friction factor may refer to: Atkinson friction factor, a measure of the resistance to airflow of a duct Darcy friction factor, in fluid dynamics Fanning friction factor, a dimensionless number used as a local parameter in continuum mechanics See also coefficient of friction Dimensionless numbers
https://en.wikipedia.org/wiki/F.%20Thomson%20Leighton
Frank Thomson "Tom" Leighton (born 1956) is the CEO of Akamai Technologies, the company he co-founded with the late Daniel Lewin in 1998. As one of the world's preeminent authorities on algorithms for network applications and cybersecurity, Dr. Leighton discovered a solution to free up web congestion using applied mathematics and distributed computing. He is on leave as a professor of applied mathematics and a member of the Computer Science and Artificial Intelligence Laboratory (CSAIL) at the Massachusetts Institute of Technology (MIT). He received his B.S.E. in Electrical Engineering from Princeton University in 1978, and his Ph.D. in Mathematics from MIT in 1981. His brother David T. Leighton is a full professor at the University of Notre Dame, specializing in transport phenomena. Their father was a U.S. Navy colleague and friend of Admiral Hyman G. Rickover, the father of naval nuclear propulsion and a founder of the Research Science Institute (RSI). Dr. Leighton has served on numerous government, industry, and academic advisory panels, including the Presidential Informational Technology Advisory Committee (PITAC) and chaired its subcommittee on cybersecurity. He serves on the board of trustees of the Society for Science & the Public (SSP) and of the Center for Excellence in Education (CEE), and he has participated in the Distinguished Lecture Series at CEE's flagship program for high school students, the Research Science Institute (RSI). Awards and honors The Instit
https://en.wikipedia.org/wiki/Tausonite
Tausonite is the rare naturally occurring mineral form of strontium titanate: chemical formula: SrTiO3. It occurs as red to orange brown cubic crystals and crystal masses. It is a member of the perovskite group. It was first described in 1982 for an occurrence in a syenite intrusive in Tausonite Hill, Murun Massif, Olyokma-Chara Plateau, Sakha Republic, Yakutia, geologically part of the Aldan Shield, Eastern-Siberian Region, Russia. It was named for Russian geochemist Lev Vladimirovich Tauson (1917–1989). It has also been reported from a fenite dike associated with a carbonatite complex in Sarambi, Concepción Department, Paraguay. and in high pressure metamorphic rocks along the Kotaki River area of Honshu Island, Japan. References Oxide minerals Titanium minerals Strontium minerals Cubic minerals Minerals in space group 221
https://en.wikipedia.org/wiki/Omitted-variable%20bias
In statistics, omitted-variable bias (OVB) occurs when a statistical model leaves out one or more relevant variables. The bias results in the model attributing the effect of the missing variables to those that were included. More specifically, OVB is the bias that appears in the estimates of parameters in a regression analysis, when the assumed specification is incorrect in that it omits an independent variable that is a determinant of the dependent variable and correlated with one or more of the included independent variables. In linear regression Intuition Suppose the true cause-and-effect relationship is given by: with parameters a, b, c, dependent variable y, independent variables x and z, and error term u. We wish to know the effect of x itself upon y (that is, we wish to obtain an estimate of b). Two conditions must hold true for omitted-variable bias to exist in linear regression: the omitted variable must be a determinant of the dependent variable (i.e., its true regression coefficient must not be zero); and the omitted variable must be correlated with an independent variable specified in the regression (i.e., cov(z,x) must not equal zero). Suppose we omit z from the regression, and suppose the relation between x and z is given by with parameters d, f and error term e. Substituting the second equation into the first gives If a regression of y is conducted upon x only, this last equation is what is estimated, and the regression coefficient on x is actually a
https://en.wikipedia.org/wiki/Emiliania%20huxleyi
Emiliania huxleyi is a species of coccolithophore found in almost all ocean ecosystems from the equator to sub-polar regions, and from nutrient rich upwelling zones to nutrient poor oligotrophic waters. It is one of thousands of different photosynthetic plankton that freely drift in the photic zone of the ocean, forming the basis of virtually all marine food webs. It is studied for the extensive blooms it forms in nutrient-depleted waters after the reformation of the summer thermocline. Like other coccolithophores, E. huxleyi is a single-celled phytoplankton covered with uniquely ornamented calcite disks called coccoliths. Individual coccoliths are abundant in marine sediments although complete coccospheres are more unusual. In the case of E. huxleyi, not only the shell, but also the soft part of the organism may be recorded in sediments. It produces a group of chemical compounds that are very resistant to decomposition. These chemical compounds, known as alkenones, can be found in marine sediments long after other soft parts of the organisms have decomposed. Alkenones are most commonly used by earth scientists as a means to estimate past sea surface temperatures. Basic facts Emiliania huxleyi was named after Thomas Huxley and Cesare Emiliani, who were the first to examine sea-bottom sediment and discover the coccoliths within it. It is believed to have evolved approximately 270,000 years ago from the older genus Gephyrocapsa Kampter and became dominant in planktonic assembl
https://en.wikipedia.org/wiki/Cambridge%20Low%20Frequency%20Synthesis%20Telescope
The Cambridge Low-Frequency Synthesis Telescope (CLFST) is an east-west aperture synthesis radio telescope currently operating at 151 MHz. It consists of 60 tracking yagis on a 4.6 km baseline, giving 776 simultaneous baselines. These provide a resolution of 70×70 cosec (declination) arcsec2, with a sensitivity of about 30 to 50 mJy/beam, and a field of view of about 9°×9°. The telescope is situated at the Mullard Radio Astronomy Observatory. The CLFST has made three astronomical catalogues of the Northern Hemisphere: 6C survey at 151 MHz 7C survey at 151 MHz 8C survey at 38 MHz Radio telescopes Interferometric telescopes Cavendish Laboratory
https://en.wikipedia.org/wiki/Mauritius%20Radio%20Telescope
The Mauritius Radio Telescope (MRT) is a synthesis radio telescope in Mauritius that is used to make images of the sky at a frequency of 151.5 MHz. The MRT was primarily designed to make a survey with a point source sensitivity of 150 mJy. Its resolution is about 4 arc min. Structure The MRT is a T-shaped array consisting of a 2048m-long East-West arm with 1024 fixed helical antennas arranged in 32 groups and an 880m-long North-South arm with 15 movable trolleys, each containing four antennas. There is a single trolley in the North arm. The North-South arm is built along the old Port Louis to Flacq railway line which closed in 1964. Function The antennas collect radio waves and transform them into electric signals. The signal from each group is filtered, amplified and sent to the telescope building where it is digitized. The digitized signals are processed in a correlator. Linux systems using custom software transform these correlated signals into raw images called "dirty maps". The MRT uses aperture synthesis to simulate a 1 km by 1 km filled array. Data is collected as the trolleys in the North-South arm move southward from the array centre. Observations are repeated 62 times until the trolleys reach the southern end the arm. The 1-D data for each day is added so as to make a 2-D map of the sky. Unlike most radio telescopes, the MRT can 'see' very extended sources. Also, the non-co-planarity of the East-West arm have led to new imaging techniques used in cleaning th
https://en.wikipedia.org/wiki/Nanocrystal
A nanocrystal is a material particle having at least one dimension smaller than 100 nanometres, based on quantum dots (a nanoparticle) and composed of atoms in either a single- or poly-crystalline arrangement. The size of nanocrystals distinguishes them from larger crystals. For example, silicon nanocrystals can provide efficient light emission while bulk silicon does not and may be used for memory components. When embedded in solids, nanocrystals may exhibit much more complex melting behaviour than conventional solids and may form the basis of a special class of solids. They can behave as single-domain systems (a volume within the system having the same atomic or molecular arrangement throughout) that can help explain the behaviour of macroscopic samples of a similar material without the complicating presence of grain boundaries and other defects. Semiconductor nanocrystals having dimensions smaller than 10 nm are also described as quantum dots. Synthesis The traditional method involves molecular precursors, which can include typical metal salts and a source of the anion. Most semiconducting nanomaterials feature chalcogenides (SS−, SeS−, TeS−) and pnicnides (P3−, As3−, Sb3−). Sources of these elements are the silylated derivatives such as bis(trimethylsilyl)sulfide (S(SiMe3)2 and tris(trimethylsilyl)phosphine (P(SiMe3)3). Some procedures use surfactants to solubilize the growing nanocrystals. In some cases, nanocrystals can exchange their elements with reagents thro
https://en.wikipedia.org/wiki/Mutation%20rate
In genetics, the mutation rate is the frequency of new mutations in a single gene or organism over time. Mutation rates are not constant and are not limited to a single type of mutation; there are many different types of mutations. Mutation rates are given for specific classes of mutations. Point mutations are a class of mutations which are changes to a single base. Missense and Nonsense mutations are two subtypes of point mutations. The rate of these types of substitutions can be further subdivided into a mutation spectrum which describes the influence of the genetic context on the mutation rate. There are several natural units of time for each of these rates, with rates being characterized either as mutations per base pair per cell division, per gene per generation, or per genome per generation. The mutation rate of an organism is an evolved characteristic and is strongly influenced by the genetics of each organism, in addition to strong influence from the environment. The upper and lower limits to which mutation rates can evolve is the subject of ongoing investigation. However, the mutation rate does vary over the genome. Over DNA, RNA or a single gene, mutation rates are changing. When the mutation rate in humans increases certain health risks can occur, for example, cancer and other hereditary diseases. Having knowledge of mutation rates is vital to understanding the future of cancers and many hereditary diseases. Background Different genetic variants within a specie
https://en.wikipedia.org/wiki/Phase%20problem
In physics, the phase problem is the problem of loss of information concerning the phase that can occur when making a physical measurement. The name comes from the field of X-ray crystallography, where the phase problem has to be solved for the determination of a structure from diffraction data. The phase problem is also met in the fields of imaging and signal processing. Various approaches of phase retrieval have been developed over the years. Overview Light detectors, such as photographic plates or CCDs, measure only the intensity of the light that hits them. This measurement is incomplete (even when neglecting other degrees of freedom such as polarization and angle of incidence) because a light wave has not only an amplitude (related to the intensity), but also a phase (related to the direction), and polarization which are systematically lost in a measurement. In diffraction or microscopy experiments, the phase part of the wave often contains valuable information on the studied specimen. The phase problem constitutes a fundamental limitation ultimately related to the nature of measurement in quantum mechanics. In X-ray crystallography, the diffraction data when properly assembled gives the amplitude of the 3D Fourier transform of the molecule's electron density in the unit cell. If the phases are known, the electron density can be simply obtained by Fourier synthesis. This Fourier transform relation also holds for two-dimensional far-field diffraction patterns (also cal
https://en.wikipedia.org/wiki/Rarita%E2%80%93Schwinger%20equation
In theoretical physics, the Rarita–Schwinger equation is the relativistic field equation of spin-3/2 fermions in a four-dimensional flat spacetime. It is similar to the Dirac equation for spin-1/2 fermions. This equation was first introduced by William Rarita and Julian Schwinger in 1941. In modern notation it can be written as: where is the Levi-Civita symbol, and are Dirac matrices, is the mass, , and is a vector-valued spinor with additional components compared to the four component spinor in the Dirac equation. It corresponds to the representation of the Lorentz group, or rather, its part. This field equation can be derived as the Euler–Lagrange equation corresponding to the Rarita–Schwinger Lagrangian: where the bar above denotes the Dirac adjoint. This equation controls the propagation of the wave function of composite objects such as the delta baryons () or for the conjectural gravitino. So far, no elementary particle with spin 3/2 has been found experimentally. The massless Rarita–Schwinger equation has a fermionic gauge symmetry: is invariant under the gauge transformation , where is an arbitrary spinor field. This is simply the local supersymmetry of supergravity, and the field must be a gravitino. "Weyl" and "Majorana" versions of the Rarita–Schwinger equation also exist. Equations of motion in the massless case Consider a massless Rarita–Schwinger field described by the Lagrangian density where the sum over spin indices is implicit, are Majora
https://en.wikipedia.org/wiki/Balkan%20folk%20music
Balkan folk music is the traditional folk music within Balkan region. In South Slavic languages, it is known as narodna muzika () or folk muzika () in Bulgarian, Macedonian, and Serbo-Croatian, and alternatively narodna glazba in standard Croatian, and narodna glasba in Slovene. For more information regarding individual nations' folk music see: Bosnian folk music Bulgarian folk music Croatian folk music Macedonian folk music Montenegrin folk music Serbian folk music Slovenian folk music External links Yugomania music Narodna Muzika, listen to Yugoslav folk music Yugoslav music Balkan music +
https://en.wikipedia.org/wiki/Pugs%20%28compiler%29
Pugs is a compiler and interpreter for the Raku programming language, started on February 1, 2005, by Audrey Tang. (At the time, Raku was known as Perl 6.) Pugs development is now placed on hiatus, with most Raku implementation efforts now taking place on Rakudo. Overview The Pugs project aimed to bootstrap Perl 6 by implementing the full Perl 6 specification, as detailed in the Synopses. It is written in Haskell, specifically targeting the Glasgow Haskell Compiler. Pugs includes two main executables: Pugs is the interpreter with an interactive shell. Pugscc can compile Perl 6 programs into Haskell code, Perl 5, JavaScript, or Parrot virtual machine's PIR assembly. Pugs is free software, distributable under the terms of either the GNU General Public License or the Artistic License. These are the same terms as Perl. Version numbering The major/minor version numbers of Pugs converges to 2π (being reminiscent of TeX and METAFONT, which use a similar scheme); each significant digit in the minor version represents a successfully completed milestone. The third digit is incremented for each release. The current milestones are: 6.0: Initial release. 6.2: Basic IO and control flow elements; mutable variables; assignment. 6.28: Classes and traits. 6.283: Rules and Grammars. 6.2831: Type system and linking. 6.28318: Macros. 6.283185: Port Pugs to Perl 6, if needed. Perl 5 compatibility As of version 6.2.6, Pugs also has the ability to embed Perl 5 and use CPAN modules in
https://en.wikipedia.org/wiki/Grothendieck%E2%80%93Riemann%E2%80%93Roch%20theorem
In mathematics, specifically in algebraic geometry, the Grothendieck–Riemann–Roch theorem is a far-reaching result on coherent cohomology. It is a generalisation of the Hirzebruch–Riemann–Roch theorem, about complex manifolds, which is itself a generalisation of the classical Riemann–Roch theorem for line bundles on compact Riemann surfaces. Riemann–Roch type theorems relate Euler characteristics of the cohomology of a vector bundle with their topological degrees, or more generally their characteristic classes in (co)homology or algebraic analogues thereof. The classical Riemann–Roch theorem does this for curves and line bundles, whereas the Hirzebruch–Riemann–Roch theorem generalises this to vector bundles over manifolds. The Grothendieck–Riemann–Roch theorem sets both theorems in a relative situation of a morphism between two manifolds (or more general schemes) and changes the theorem from a statement about a single bundle, to one applying to chain complexes of sheaves. The theorem has been very influential, not least for the development of the Atiyah–Singer index theorem. Conversely, complex analytic analogues of the Grothendieck–Riemann–Roch theorem can be proved using the index theorem for families. Alexander Grothendieck gave a first proof in a 1957 manuscript, later published. Armand Borel and Jean-Pierre Serre wrote up and published Grothendieck's proof in 1958. Later, Grothendieck and his collaborators simplified and generalized the proof. Formulation Let X be a s
https://en.wikipedia.org/wiki/The%20Sign
The Sign can refer to: The Sign (Ace of Base album), an alternate name for the Ace of Base album Happy Nation "The Sign" (song), a 1993 hit from this album The Sign (Crystal Lake album) "The Sign" (Agents of S.H.I.E.L.D.), an episode of Agents of S.H.I.E.L.D. "The Sign", a song by Lizzo from the album Special, 2022
https://en.wikipedia.org/wiki/Ursa
Ursa is a Latin word meaning bear. Derivatives of this word are ursine or Ursini. Ursa may also refer to: General URSA Extracts (United States of America), a California cannabis concentrate company Ursa (Finland), a Finnish astronomical association Ursa (spider), a spider genus in the family Araneidae Ursa Major, the Great Bear constellation Ursa Minor, the Small Bear constellation HMS Ursa, the name of two ships of the Royal Navy Places Ursa, Illinois, a village in the United States Ursa, a village in Gârcov Commune, Olt County, Romania Ursa Motoșeni, the former name of Motoșeni Commune, Bacău County, Romania People Urša, feminine given name Fiction Ursa (comics), a fictional villain in Superman media Ursa, a fictional monster in the M. Knight Shymalan film After Earth A fictional character in Avatar: The Last Airbender Ursa, Bear's girlfriend in the TV series Bear in the Big Blue House A fictional character in Disney's Adventures of the Gummi Bears Ursa, a fictional character in the Open Season franchise Ursa Corregidora, protagonist of Corregidora by Gayl Jones Ursa Wren, a fictional character in the Disney show Star Wars Rebels, voiced by Sharmila Devar. Ursa, a hero in the video games DOTA and DOTA 2. Ursas, a type of antagonistic monster featured in the animated web series RWBY See also Ersa (disambiguation) Erza Ursus (disambiguation)
https://en.wikipedia.org/wiki/Spin%20transistor
The magnetically sensitive transistor, also known as the spin transistor, spin field-effect transistor (spinFET), Datta–Das spin transistor or spintronic transistor (named for spintronics, the technology which this development spawned), originally proposed in 1990 by Supriyo Datta and Biswajit Das, is an alternative design on the common transistor invented in the 1940s. This device was considered one of the Nature Milestones in Spin in 2008. Description The spin transistor comes about as a result of research on the ability of electrons (and other fermions) to naturally exhibit one of two (and only two) states of spin: known as "spin up" and "spin down". Thus, spin transistors operate on electron spin as embodying a two-state quantum system. Unlike its namesake predecessor, which operates on an electric current, spin transistors operate on electrons on a more fundamental level; it is essentially the application of electrons set in particular states of spin to store information. One advantage over regular transistors is that these spin states can be detected and altered without necessarily requiring the application of an electric current. This allows for detection hardware (such as hard drive heads) that are much smaller but even more sensitive than today's devices, which rely on noisy amplifiers to detect the minute charges used on today's data storage devices. The potential result is devices that can store more data in less space and consume less power, using less costly
https://en.wikipedia.org/wiki/Julia%20M.%20Riley
Julia M. Riley (née Hill, born 1947) is a British astrophysicist who developed the Fanaroff–Riley classification. Personal and professional background She is the daughter of Philippa (born Pass) and British marine geophysicist Maurice Hill and granddaughter of Nobel Prize–winning physiologist Archibald Vivian Hill. Riley is a Fellow of Girton College associated with the Cavendish Astrophysics Group at University of Cambridge. Her primary field of research is in the area of radio astronomy. Riley lectures and supervises physics within the Natural Sciences Tripos at the University of Cambridge. Fanaroff–Riley type I and II In 1974, along with Bernard Fanaroff, she wrote a paper classifying radio galaxies into two types based on their morphology (shape). Fanaroff and Riley's classification became known as Fanaroff–Riley type I and II of radio galaxies (FRI and FRII). In FRI sources the major part of the radio emission comes from closer to the centre of the source, whereas in FRII sources the major part of the emission comes from hotspots set away from the centre (see active galaxies). References External links Webpage at Girton College Webpage at Cavendish Astrophysics Group 21st-century British astronomers Fellows of Girton College, Cambridge 1947 births Living people Keynes family Women astronomers British women scientists Academics of the University of Cambridge 20th-century British astronomers
https://en.wikipedia.org/wiki/Epia
Epia may refer to: Aipeia, a town in Messenia, Greece EPIA, a PC platform from VIA Technologies European Photovoltaic Industry Association Epia (moth)
https://en.wikipedia.org/wiki/Kruskal%E2%80%93Katona%20theorem
In algebraic combinatorics, the Kruskal–Katona theorem gives a complete characterization of the f-vectors of abstract simplicial complexes. It includes as a special case the Erdős–Ko–Rado theorem and can be restated in terms of uniform hypergraphs. It is named after Joseph Kruskal and Gyula O. H. Katona, but has been independently discovered by several others. Statement Given two positive integers N and i, there is a unique way to expand N as a sum of binomial coefficients as follows: This expansion can be constructed by applying the greedy algorithm: set ni to be the maximal n such that replace N with the difference, i with i − 1, and repeat until the difference becomes zero. Define Statement for simplicial complexes An integral vector is the f-vector of some -dimensional simplicial complex if and only if Statement for uniform hypergraphs Let A be a set consisting of N distinct i-element subsets of a fixed set U ("the universe") and B be the set of all -element subsets of the sets in A. Expand N as above. Then the cardinality of B is bounded below as follows: Lovász' simplified formulation The following weaker but useful form is due to . Let A be a set of i-element subsets of a fixed set U ("the universe") and B be the set of all -element subsets of the sets in A. If then . In this formulation, x need not be an integer. The value of the binomial expression is . Ingredients of the proof For every positive i, list all i-element subsets a1 < a2 < … ai of
https://en.wikipedia.org/wiki/MINQUE
In statistics, the theory of minimum norm quadratic unbiased estimation (MINQUE) was developed by C. R. Rao. Its application was originally to the problem of heteroscedasticity and the estimation of variance components in random effects models. The theory involves three stages: defining a general class of potential estimators as quadratic functions of the observed data, where the estimators relate to a vector of model parameters; specifying certain constraints on the desired properties of the estimators, such as unbiasedness; choosing the optimal estimator by minimising a "norm" which measures the size of the covariance matrix of the estimators. References Estimation theory Statistical deviation and dispersion
https://en.wikipedia.org/wiki/Line%20search
In optimization, the line search strategy is one of two basic iterative approaches to find a local minimum of an objective function . The other approach is trust region. The line search approach first finds a descent direction along which the objective function will be reduced and then computes a step size that determines how far should move along that direction. The descent direction can be computed by various methods, such as gradient descent or quasi-Newton method. The step size can be determined either exactly or inexactly. Example use Here is an example gradient method that uses a line search in step 4. Set iteration counter , and make an initial guess for the minimum Repeat:     Compute a descent direction     Choose to 'loosely' minimize over     Update , and Until < tolerance At the line search step (4) the algorithm might either exactly minimize h, by solving , or loosely, by asking for a sufficient decrease in h. One example of the former is conjugate gradient method. The latter is called inexact line search and may be performed in a number of ways, such as a backtracking line search or using the Wolfe conditions. Like other optimization methods, line search may be combined with simulated annealing to allow it to jump over some local minima. Algorithms Direct search methods In this method, the minimum must first be bracketed, so the algorithm must identify points x1 and x2 such that the sought minimum lies between them. The interval is then
https://en.wikipedia.org/wiki/Intercellular%20adhesion%20molecule
In molecular biology, intercellular adhesion molecules (ICAMs) and vascular cell adhesion molecule-1 (VCAM-1) are part of the immunoglobulin superfamily. They are important in inflammation, immune responses and in intracellular signalling events. The ICAM family consists of five members, designated ICAM-1 to ICAM-5. They are known to bind to leucocyte integrins CD11/CD18 such as LFA-1 and Macrophage-1 antigen, during inflammation and in immune responses. In addition, ICAMs may exist in soluble forms in human plasma, due to activation and proteolysis mechanisms at cell surfaces. Mammalian intercellular adhesion molecules include: ICAM-1 ICAM2 ICAM3 ICAM4 ICAM5 References Cell biology Protein families
https://en.wikipedia.org/wiki/Descent%20direction
In optimization, a descent direction is a vector that points towards a local minimum of an objective function . Computing by an iterative method, such as line search defines a descent direction at the th iterate to be any such that , where denotes the inner product. The motivation for such an approach is that small steps along guarantee that is reduced, by Taylor's theorem. Using this definition, the negative of a non-zero gradient is always a descent direction, as . Numerous methods exist to compute descent directions, all with differing merits, such as gradient descent or the conjugate gradient method. More generally, if is a positive definite matrix, then is a descent direction at . This generality is used in preconditioned gradient descent methods. See also Directional derivative References Mathematical optimization
https://en.wikipedia.org/wiki/Matrix%20chain%20multiplication
Matrix chain multiplication (or the matrix chain ordering problem) is an optimization problem concerning the most efficient way to multiply a given sequence of matrices. The problem is not actually to perform the multiplications, but merely to decide the sequence of the matrix multiplications involved. The problem may be solved using dynamic programming. There are many options because matrix multiplication is associative. In other words, no matter how the product is parenthesized, the result obtained will remain the same. For example, for four matrices A, B, C, and D, there are five possible options: ((AB)C)D = (A(BC))D = (AB)(CD) = A((BC)D) = A(B(CD)). Although it does not affect the product, the order in which the terms are parenthesized affects the number of simple arithmetic operations needed to compute the product, that is, the computational complexity. The straightforward multiplication of a matrix that is by a matrix that is requires ordinary multiplications and ordinary additions. In this context, it is typical to use the number of ordinary multiplications as a measure of the runtime complexity. If A is a 10 × 30 matrix, B is a 30 × 5 matrix, and C is a 5 × 60 matrix, then computing (AB)C needs (10×30×5) + (10×5×60) = 1500 + 3000 = 4500 operations, while computing A(BC) needs (30×5×60) + (10×30×60) = 9000 + 18000 = 27000 operations. Clearly the first method is more efficient. With this information, the problem statement can be refined as "how to determin
https://en.wikipedia.org/wiki/Liquid%20and%20digits
Liquid and digits is a type of gestural, interpretive, rave and urban street dance that sometimes involve aspects of pantomime. The term invokes the word liquid to describe the fluid-like motion of the dancer's body and appendages and digits to refer to illusions constructed with the dancer's fingers. Liquid dancing has many moves in common with popping and waving. ("Waving" is a style of dance where the dancer tries to make it appear that waves are rolling through their body.) The exact origins of the dances are uncertain, although they came out of either popping, raves, or both sometime from the 1970s to 1990s. The dance is typically done to a variety of electronic dance music genres from trance to drum and bass to glitch hop, depending on the dancer's musical taste. References External links Liquid & Digitz Dance Repository: A collection of liquid and digits tutorials. popular video of LPEric liquid dancing Syllabus-free dance
https://en.wikipedia.org/wiki/Furna
Furna (Highest Alemannic: Furnä) is a Swiss village in the Prättigau and a municipality in the political district Prättigau/Davos Region in the canton of Graubünden. History Furna is first mentioned in 1479 as Furnen. Demographics Furna has a population (as of ) of . , 0.5% of the population was made up of foreign nationals. Over the last 10 years the population has grown at a rate of 0.5%. Most of the population () speaks German (99.5%), with the rest speaking Norwegian ( 0.5%). , the gender distribution of the population was 49.3% male and 50.7% female. The age distribution, , in Furna is; 34 children or 16.7% of the population are between 0 and 9 years old and 17 teenagers or 8.3% are between 10 and 19. Of the adult population, 24 people or 11.8% of the population are between 20 and 29 years old. 27 people or 13.2% are between 30 and 39, 24 people or 11.8% are between 40 and 49, and 22 people or 10.8% are between 50 and 59. The senior population distribution is 24 people or 11.8% of the population are between 60 and 69 years old, 26 people or 12.7% are between 70 and 79, there are 6 people or 2.9% who are between 80 and 89. In the 2007 federal election the most popular party was the SVP which received 49.8% of the vote. The next three most popular parties were the FDP (23%), the local, small right-wing parties (13.8%) and the SP (13%). The entire Swiss population is generally well educated. In Furna about 60.8% of the population (between age 25-64) have completed eit
https://en.wikipedia.org/wiki/Thickened%20fluids
Thickened fluids and thickened drinks are often used for people with dysphagia, a disorder of swallowing function. The thicker consistency makes it less likely that individuals will aspirate while they are drinking. Individuals with difficulty swallowing may find that liquids cause coughing, spluttering, or even aspiration, and that thickening drinks enables them to swallow safely. Patients may be advised to consume thickened liquids after being extubated. Liquid thickness may be measured by two methods, with a viscometer or by line spread test. There are several levels of consistency/viscosity and these have historically varied by country, although the launch of the International Dysphagia Diet Standardisation Initiative (IDDSI) aims to remove this variation. According to the IDDSI, the thickness of a drink can be tested by measuring the amount that pours out of a 10ml syringe in 10 seconds. 0 – Thin liquids: Unthickened, such as water or juice. Common thin liquids include coffee, tea, clear broth, clear juice, skim milk, 2% milk, and whole milk. 1 – Slightly thick (between 9 and 6 ml pour out of a 10ml syringe in 10 seconds) 2 – Mildly thick (between 6 and 2 ml pour out) 3 – Moderately thick (2 or less ml pour out) 4 – Extremely thick – drinks of this stage should require a spoon to drink and are comparable to pureed foods. Patients who have a restriction on thin liquids should avoid milk shakes, ice cream, popsicles, and Jell-O as these melt into thin liquids in the mo
https://en.wikipedia.org/wiki/The%20Davis%20Sisters
The Davis Sisters of Philadelphia, PA were an American gospel group founded by Ruth ("Baby Sis") Davis and featuring her sisters Thelma, Audrey, Alfreda and Edna. Imogene Greene joined the group in 1950, and was later replaced by Jackie Verdell when Greene left to join the Caravans. Early years Raised in the Fire-Baptized Holiness Church in Philadelphia, the Davis Sisters were one of the first female groups to sing "hard gospel" of the sort being pioneered by the Dixie Hummingbirds and other male quartets of the day. They achieved a big sound, managing to sound like a choir behind the lead singer by positioning themselves several steps behind the microphone because Ruth's voice was so powerful it needed that buffer space. Origin The Famous Davis Sisters of Philadelphia was founded by Ruth Davis in 1945 in Philadelphia, Pennsylvania. Ruth had enlisted in the Women's Air Corp during World War II to fulfill her patriotic aspirations. During this time her musical and creative instincts came to the forefront of her personality and the nurturing of her artistic side conflicted with the strict military discipline required of WAC's. While she wanted to do her part to rid the world of the Axis evil and minimize Holocaust casualties, she was discharged by the military to Philadelphia in 1945 before the untimely demise of President Franklin Delano Roosevelt and Germany's capitulation. The end of the war was definitely in sight but Ruth was left with the task of carving out her p
https://en.wikipedia.org/wiki/Jacob%20Palis
Jacob Palis Jr. (born 15 March 1940) is a Brazilian mathematician and professor. Palis' research interests are mainly dynamical systems and differential equations. Some themes are global stability and hyperbolicity, bifurcations, attractors and chaotic systems. Biography Jacob Palis was born in Uberaba, Minas Gerais. His father was a Lebanese immigrant, and his mother was a Syrian immigrant. The couple had eight children (five men and three women), and Jacob was the youngest. His father was a merchant, owner of a large store, and supported and funded the studies of his children. Palis said that he already enjoyed mathematics in his childhood. At 16, Palis moved to Rio de Janeiro to study engineering at the University of Brazil – now UFRJ. He was approved in first place in the entrance exam, but was not old enough to be accepted; he then had to take the university's entry exam again a year later, at which again he obtained first place. He completed the course in 1962 with honours and receiving the award for the best student. In 1964, he moved to the United States. In 1966 he obtained his master's degree in mathematics under the guidance of Stephen Smale at the University of California, Berkeley, and in 1968 his PhD, with the thesis On Morse-Smale Diffeomorphisms, again with Smale as advisor. In 1968, he returned to Brazil and became a researcher at the Instituto Nacional de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro, Brazil. Since 1973 he has held a permanent pos
https://en.wikipedia.org/wiki/Crystal%20Planet
Crystal Planet is the seventh studio album by the guitarist Joe Satriani, released on March 3, 1998, by Epic Records. It was his first album to be released on Epic, whereas his previous six albums were released by Relativity Records. Crystal Planet reached No. 50 on the U.S. Billboard 200 and remained on that chart for eight weeks, as well as reaching the top 100 in five other countries. "Ceremony" was released as a single, reaching No. 28 on Billboard'''s Mainstream Rock chart and featuring Satriani's first recorded use of a seven-string guitar, namely the Ibanez Universe. "A Train of Angels" was nominated for Best Rock Instrumental Performance at the 1999 Grammy Awards, Satriani's ninth such nomination. ReissuesCrystal Planet has been reissued twice. The first was on June 16, 2008, as part of the Original Album Classics box set, and most recently as part of The Complete Studio Recordings, released on April 22, 2014, by Legacy Recordings; this is a box set compilation containing remastered editions of every Satriani studio album from 1986 to 2013. Critical reception Stephen Thomas Erlewine at AllMusic awarded Crystal Planet four stars out five, calling it "an instrumental record with a difference" and Satriani's "finest all-instrumental effort since Surfing With the Alien''". He praised Satriani for "taking more chances than ever" and further developing his technique, saying that it reaches "new, uncharted waters". Track listing Personnel Joe Satriani – guitar, guitar
https://en.wikipedia.org/wiki/Perron%E2%80%93Frobenius%20theorem
In matrix theory, the Perron–Frobenius theorem, proved by and , asserts that a real square matrix with positive entries has a unique eigenvalue of largest magnitude and that eigenvalue is real. The corresponding eigenvector can be chosen to have strictly positive components, and also asserts a similar statement for certain classes of nonnegative matrices. This theorem has important applications to probability theory (ergodicity of Markov chains); to the theory of dynamical systems (subshifts of finite type); to economics (Okishio's theorem, Hawkins–Simon condition); to demography (Leslie population age distribution model); to social networks (DeGroot learning process); to Internet search engines (PageRank); and even to ranking of football teams. The first to discuss the ordering of players within tournaments using Perron–Frobenius eigenvectors is Edmund Landau. Statement Let positive and non-negative respectively describe matrices with exclusively positive real numbers as elements and matrices with exclusively non-negative real numbers as elements. The eigenvalues of a real square matrix A are complex numbers that make up the spectrum of the matrix. The exponential growth rate of the matrix powers Ak as k → ∞ is controlled by the eigenvalue of A with the largest absolute value (modulus). The Perron–Frobenius theorem describes the properties of the leading eigenvalue and of the corresponding eigenvectors when A is a non-negative real square matrix. Early results were due
https://en.wikipedia.org/wiki/Equation%20of%20state%20%28cosmology%29
In cosmology, the equation of state of a perfect fluid is characterized by a dimensionless number , equal to the ratio of its pressure to its energy density : It is closely related to the thermodynamic equation of state and ideal gas law. The equation The perfect gas equation of state may be written as where is the mass density, is the particular gas constant, is the temperature and is a characteristic thermal speed of the molecules. Thus where is the speed of light, and for a "cold" gas. FLRW equations and the equation of state The equation of state may be used in Friedmann–Lemaître–Robertson–Walker (FLRW) equations to describe the evolution of an isotropic universe filled with a perfect fluid. If is the scale factor then If the fluid is the dominant form of matter in a flat universe, then where is the proper time. In general the Friedmann acceleration equation is where is the cosmological constant and is Newton's constant, and is the second proper time derivative of the scale factor. If we define (what might be called "effective") energy density and pressure as and the acceleration equation may be written as Non-relativistic particles The equation of state for ordinary non-relativistic 'matter' (e.g. cold dust) is , which means that its energy density decreases as , where is a volume. In an expanding universe, the total energy of non-relativistic matter remains constant, with its density decreasing as the volume increases. Ultra-relativistic p
https://en.wikipedia.org/wiki/Phantom%20energy
Phantom energy is a hypothetical form of dark energy satisfying the equation of state with . It possesses negative kinetic energy, and predicts expansion of the universe in excess of that predicted by a cosmological constant, which leads to a Big Rip. The idea of phantom energy is often dismissed, as it would suggest that the vacuum is unstable with negative mass particles bursting into existence. The concept is hence tied to emerging theories of a continuously-created negative mass dark fluid, in which the cosmological constant can vary as a function of time. Big Rip mechanism The existence of phantom energy could cause the expansion of the universe to accelerate so quickly that a scenario known as the Big Rip, a possible end to the universe, occurs. The expansion of the universe reaches an infinite degree in finite time, causing expansion to accelerate without bounds. This acceleration necessarily passes the speed of light (since it involves expansion of the universe itself, not particles moving within it), causing more and more objects to leave our observable universe faster than its expansion, as light and information emitted from distant stars and other cosmic sources cannot "catch up" with the expansion. As the observable universe expands, objects will be unable to interact with each other via fundamental forces, and eventually, the expansion will prevent any action of forces between any particles, even within atoms, "ripping apart" the universe, making distances b
https://en.wikipedia.org/wiki/John%20Bromyard
John Bromyard (d. c. 1352) was an influential English Dominican friar and prolific compiler of preaching aids. Life Little is known of his personal life. Two dates can be cited: in 1326, he was granted a licence to hear confessions in the diocese of Hereford, and in 1352, that licence was granted to another Dominican, presumably after Bromyard's death. There is evidence in his works that he had served in the diocese of Llandaff in South Wales, and he shows familiarity with customs and circumstances in France and Italy. But because the Dominicans were an international order with lively internal communication, this cannot be taken as proof that he had travelled abroad. He was evidently trained in canon law, perhaps at Oxford. He spent most of his career at the newly founded Dominican priory at Hereford. The Dominicans had been fighting for a foothold here for eighty years against the resistance of the Dean and Chapter, before they were finally established under the patronage of Edward II in 1322. Bromyard must therefore have been among the first friars to join the fledgeling priory. In an age when manuscript books were prohibitively expensive, it is likely that he embarked on the task of compiling preaching aids as a means of providing the priory with a library to support its preaching mission. The sheer volume of his work suggests that it may well have been produced by a collaborative process involving the other friars at the Hereford priory, with Bromyard acting as editor
https://en.wikipedia.org/wiki/Darboux%27s%20theorem
In differential geometry, a field in mathematics, Darboux's theorem is a theorem providing a normal form for special classes of differential 1-forms, partially generalizing the Frobenius integration theorem. It is named after Jean Gaston Darboux who established it as the solution of the Pfaff problem. It is a foundational result in several fields, the chief among them being symplectic geometry. Indeed, one of its many consequences is that any two symplectic manifolds of the same dimension are locally symplectomorphic to one another. That is, every -dimensional symplectic manifold can be made to look locally like the linear symplectic space with its canonical symplectic form. There is also an analogous consequence of the theorem applied to contact geometry. Statement Suppose that is a differential 1-form on an -dimensional manifold, such that has constant rank . Then if everywhere, then there is a local system of coordinates in which if everywhere, then there is a local system of coordinates in which Darboux's original proof used induction on and it can be equivalently presented in terms of distributions or of differential ideals. Frobenius' theorem Darboux's theorem for ensures the any 1-form such that can be written as in some coordinate system . This recovers one of the formulation of Frobenius theorem in terms of differential forms: if is the differential ideal generated by , then implies the existence of a coordinate system where is actually gen
https://en.wikipedia.org/wiki/Metabolic%20typing
Metabolic typing is a pseudoscience whose proponents believe that each person has a unique metabolism, and that the proportion of macromolecules (proteins, carbohydrates and fats) which are optimal for one person may not be for a second, and could even be detrimental to them. Metabolic typing uses common visible symptoms related to the skin, eyes, and other parts of the body to assess different aspects of a person's metabolism and categorize them into broad metabolic types. In addition, some proponents of metabolic typing use tests such as hair analysis to determine a person's metabolic type. A number of somewhat different metabolic typing diet plans are currently marketed, though the validity and effectiveness of metabolic typing have yet to be established. Background Metabolic typing was introduced by William Donald Kelley, a dentist, in the 1960s. Kelley advocated basing dietary choices on the activity of one's sympathetic and parasympathetic nervous systems. In 1970, Kelley was convicted of practicing medicine without a license, as he had diagnosed a patient with lung cancer based on a fingerstick blood test and prescribed nutritional therapy. He continued to promote a metabolic typing diet through the 1980s. The practice has been further developed by others including Harold J. Kristal and William Wolcott. Effectiveness Some metabolic typing companies use a battery of blood and urine tests performed by reputable laboratories, but interpret the results in an unconv
https://en.wikipedia.org/wiki/National%20Human%20Genome%20Research%20Institute
The National Human Genome Research Institute (NHGRI) is an institute of the National Institutes of Health, located in Bethesda, Maryland. NHGRI began as the Office of Human Genome Research in The Office of the Director in 1988. This Office transitioned to the National Center for Human Genome Research (NCHGR), in 1989 to carry out the role of the NIH in the International Human Genome Project (HGP). The HGP was developed in collaboration with the United States Department of Energy (DOE) and began in 1990 to sequence the human genome. In 1993, NCHGR expanded its role on the NIH campus by establishing the Division of Intramural Research (DIR) to apply genome technologies to the study of specific diseases. In 1996, the Center for Inherited Disease Research (CIDR) was also established (co-funded by eight NIH institutes and centers) to study the genetic components of complex disorders. In 1997 the United States Department of Health and Human Services (DHHS) renamed NCHGR the National Human Genome Research Institute (NHGRI), officially elevating it to the status of research institute – one of 27 institutes and centers that make up the NIH. The institute announced the successful sequencing of the human genome in April 2003, but there were still gaps remaining until the release of T2T-CHM13 by the Telomere-to-Telomere Consortium. Organizational structure NHGRI is organized into seven divisions and the Office of the Director. Four of these divisions support extramural research (the
https://en.wikipedia.org/wiki/RSA%20problem
In cryptography, the RSA problem summarizes the task of performing an RSA private-key operation given only the public key. The RSA algorithm raises a message to an exponent, modulo a composite number N whose factors are not known. Thus, the task can be neatly described as finding the eth roots of an arbitrary number, modulo N. For large RSA key sizes (in excess of 1024 bits), no efficient method for solving this problem is known; if an efficient method is ever developed, it would threaten the current or eventual security of RSA-based cryptosystems—both for public-key encryption and digital signatures. More specifically, the RSA problem is to efficiently compute P given an RSA public key (N, e) and a ciphertext C ≡ P e (mod N). The structure of the RSA public key requires that N be a large semiprime (i.e., a product of two large prime numbers), that 2 < e < N, that e be coprime to φ(N), and that 0 ≤ C < N. C is chosen randomly within that range; to specify the problem with complete precision, one must also specify how N and e are generated, which will depend on the precise means of RSA random keypair generation in use. The most efficient method known to solve the RSA problem is by first factoring the modulus N, a task believed to be impractical if N is sufficiently large (see integer factorization). The RSA key setup routine already turns the public exponent e, with this prime factorization, into the private exponent d, and so exactly the same algorithm allows anyone who f
https://en.wikipedia.org/wiki/Solid-state%20nuclear%20track%20detector
A solid-state nuclear track detector or SSNTD (also known as an etched track detector or a dielectric track detector, DTD) is a sample of a solid material (photographic emulsion, crystal, glass or plastic) exposed to nuclear radiation (neutrons or charged particles, occasionally also gamma rays), etched, and examined microscopically. The tracks of nuclear particles are etched faster than the bulk material, and the size and shape of these tracks yield information about the mass, charge, energy and direction of motion of the particles. The main advantages over other radiation detectors are the detailed information available on individual particles, the persistence of the tracks allowing measurements to be made over long periods of time, and the simple, cheap and robust construction of the detector. The basis of SSNTDs is that charged particles damage the detector within nanometers along the track in such a way that the track can be etched many times faster than the undamaged material. Etching, typically for several hours, enlarges the damage to conical pits of micrometer dimensions, that can be observed with a microscope. For a given type of particle, the length of the track gives the energy of the particle. The charge can be determined from the etch rate of the track compared to that of the bulk. If the particles enter the surface at normal incidence, the pits are circular; otherwise the ellipticity and orientation of the elliptical pit mouth indicate the direction of inciden
https://en.wikipedia.org/wiki/Genotype%20frequency
Genetic variation in populations can be analyzed and quantified by the frequency of alleles. Two fundamental calculations are central to population genetics: allele frequencies and genotype frequencies. Genotype frequency in a population is the number of individuals with a given genotype divided by the total number of individuals in the population. In population genetics, the genotype frequency is the frequency or proportion (i.e., 0 < f < 1) of genotypes in a population. Although allele and genotype frequencies are related, it is important to clearly distinguish them. Genotype frequency may also be used in the future (for "genomic profiling") to predict someone's having a disease or even a birth defect. It can also be used to determine ethnic diversity. Genotype frequencies may be represented by a De Finetti diagram. Numerical example As an example, consider a population of 100 four-o-'clock plants (Mirabilis jalapa) with the following genotypes: 49 red-flowered plants with the genotype AA 42 pink-flowered plants with genotype Aa 9 white-flowered plants with genotype aa When calculating an allele frequency for a diploid species, remember that homozygous individuals have two copies of an allele, whereas heterozygotes have only one. In our example, each of the 42 pink-flowered heterozygotes has one copy of the a allele, and each of the 9 white-flowered homozygotes has two copies. Therefore, the allele frequency for a (the white color allele) equals This r
https://en.wikipedia.org/wiki/Nanoruler
A nanoruler is a ruler of tiny proportions, made of a silicon crystal lattice structure. Since it can accurately measure fractions of nanometers, it could help standardize the future nanotechnology industry. Since the characteristics of silicon are well understood, the distance between one crystal lattice line to another is well known. Therefore, counting these lines can reveal a fairly accurate measurement. The ruler was developed by the National Institute of Standards and Technology, and unveiled in 2005. Nanoruler also is the name of a machine to produce large (greater than 300 mm x 300 mm) grating patterns with nanometer precision, based on the principle of Scanning Beam Interference Lithography. Instead of the traditional technique to produce gratings through mechanical ruling, this approach rules gratings through the interference of light beams. The Nanoruler was developed in the Space Nanotechnology Laboratory of the Kavli Institute for Astrophysics and Space Research at the Massachusetts Institute of Technology. References Nanotechnology
https://en.wikipedia.org/wiki/MRA
MRA may refer to: Medicine and science Magnetic resonance angiography Mineralocorticoid receptor antagonist Monoamine releasing agent Multiresolution analysis Organisations Madison-Ridgeland Academy Maharashtra Rationalist Association, an organisation in India Marketing Research Association Mauritius Revenue Authority Metal Roofing Alliance Metropolitan Redevelopment Authority of Western Australia Microcredit Regulatory Authority Monland Restoration Army Moral Re-Armament Motorcycle Roadracing Association Mountain Rescue Association Mugi Rekso Abadi, a media company in Indonesia Myanmar Restaurant Association Royal Museum of the Armed Forces and Military History (abbreviated MRA in French), a museum in Belgium Other Mail retrieval agent Market reduction approach Member's Representational Allowance in the United States House of Representatives Men's Rights Activist (or men's rights activism) Minimum reception altitude Mutant registration acts (comics) Mutual recognition agreement Northern Mariana Islands, US territory, ITU country code See also
https://en.wikipedia.org/wiki/Lifeline%20%28ship%29
Lifeline is a small rescue boat, formerly an inshore fisheries research vessel of the Fisheries Research Services currently seized by Maltese authorities due to disputed ownership, ship classification, home port documentation and flag registration. The captain, appeared in a Maltese court charged with commanding an improperly registered ship and was released on a 10,000-euro bail. History Clupea was commissioned in 1968. Measuring 32 m (100 ft) and drawing 3.5 m (11 ft 6 in), she is a good size for conducting research inside the constricted space of a sea loch. For research in offshore areas and the North Sea, the larger, more modern, was used. Clupea was replaced by after the latter's launch in 2008. She has been sold to a private company. Clupea As Clupea she was equipped with winches, reel drums and an A-frame, allowing her to tow a range of fishing gear. Deck cranes allow the deployment of water sampling equipment and benthic grabs. She was based at the port of Fraserburgh and operated mainly on the Scottish west coast on behalf of the Scottish Executive. As a small vessel requiring space for equipment and laboratories, Clupea had only accommodation for four officers, six crew and six scientists. As Sea-Watch 2 In 2015 Clupea was sold to the German NGO Sea-Watch, who started a civil sea rescue service for refugees and migrants in the Mediterranean. The vessel was renamed Sea-Watch 2 in March 2016 and has been used for search and rescue (SAR) missions. As Life
https://en.wikipedia.org/wiki/Abraham%20Rees
Abraham Rees (1743 – 9 June 1825) was a Welsh nonconformist minister, and compiler of Rees's Cyclopædia (in 45 volumes). Life He was the second son of Esther, daughter of Abraham Penry, and her husband Lewis Rees, and was born in Llanbrynmair, Montgomeryshire. Lewis Rees (1710-1800) was independent minister at Llanbrynmair (1734–1759) and Mynyddbach, Glamorganshire (1759–1800). Rees was educated for the ministry at Coward's academy in Wellclose Square, near London, under David Jennings, entering in 1759. In 1762 he was appointed assistant tutor in mathematics and natural philosophy; on the move of the academy to Hoxton after Jennings's death in 1762 he became resident tutor, a position which he held till 1785, his colleagues being Andrew Kippis and Samuel Morton Savage; subsequently he was tutor in Hebrew and mathematics in the New College at Hackney (1786–96). His first ministerial engagement was in the independent congregation at Clapham, where he preached once a fortnight, as assistant to Philip Furneaux. In 1768 he became assistant to Henry Read (1686–1774) in the presbyterian congregation at St Thomas's, Southwark, and succeeded him as pastor in 1774. He moved to the pastorate of the Old Jewry congregation in 1783, and retained this charge till his death, being both morning and afternoon preacher (unusual then, among London presbyterians); he shared also (from 1773) a Sunday-evening lecture at Salters' Hall, and was one of the Tuesday-morning lecturers at Salters' Hal
https://en.wikipedia.org/wiki/Joseph%20L.%20Doob
Joseph Leo Doob (February 27, 1910 – June 7, 2004) was an American mathematician, specializing in analysis and probability theory. The theory of martingales was developed by Doob. Early life and education Doob was born in Cincinnati, Ohio, February 27, 1910, the son of a Jewish couple, Leo Doob and Mollie Doerfler Doob. The family moved to New York City before he was three years old. The parents felt that he was underachieving in grade school and placed him in the Ethical Culture School, from which he graduated in 1926. He then went on to Harvard where he received a BA in 1930, an MA in 1931, and a PhD (Boundary Values of Analytic Functions, advisor Joseph L. Walsh) in 1932. After postdoctoral research at Columbia and Princeton, he joined the department of mathematics of the University of Illinois in 1935 and served until his retirement in 1978. He was a member of the Urbana campus's Center for Advanced Study from its beginning in 1959. During the Second World War, he worked in Washington, D.C., and Guam as a civilian consultant to the Navy from 1942 to 1945; he was at the Institute for Advanced Study for the academic year 1941–1942 when Oswald Veblen approached him to work on mine warfare for the Navy. Work Doob's thesis was on boundary values of analytic functions. He published two papers based on this thesis, which appeared in 1932 and 1933 in the Transactions of the American Mathematical Society. Doob returned to this subject many years later when he proved a probabil
https://en.wikipedia.org/wiki/Fana
{{Historical populations |footnote = Source: Statistics Norway. |shading = off |1980|25050 |1990|27163 |2001|32393 |2013|40087 }} Fana is a borough of the city of Bergen in Vestland county, Norway. The borough makes up the southeastern part of the municipality of Bergen. The borough was once part of the historic municipality of Fana which was incorporated into Bergen in 1972. The old municipality was much larger than the present-day borough of Fana. It also included all of the present-day boroughs of Ytrebygda and Fyllingsdalen as well as the southern part of the present-day boroughs of Årstad. As of 1 January 2012, Fana had a population of 39,216. Toponymy "The name is really [a] farm name, in Old Norse fani, which probably means swampland or myrlende" (or fen), according to the Store norske leksikon. Geography Fana is the geographically largest of the city's boroughs, with an area of . Most major industries in Fana are located near the neighborhood of Nesttun (which was the administrative centre of the old Fana municipality). The northeastern part is dominated by residential areas, being home to the majority of the borough's population, while the rest of the borough contains mostly forest, mountains, some farmland, in addition to a few settlements. The mountain Livarden lies along the northeastern boundary of the borough. Villages and neighborhoods The villages and neighborhoods in the borough include: Fanahammeren, Nattland, Nesttun, Paradis, No
https://en.wikipedia.org/wiki/Identity%20by%20type
Alleles have identity by type (IBT) when they have the same phenotypic effect or, if applied to a variation in the composition of DNA such as a single nucleotide polymorphism, when they have the same DNA sequence. Alleles that are identical by type fall into two groups; those that are identical by descent (IBD) because they arose from the same allele in an earlier generation; and those that are non-identical by descent (NIBD) because they arose from separate mutations. NIBD can also be identical by state (IBS) though, if they share the same mutational expression but not through a recent common ancestor. Parent-offspring pairs share 50% of their genes IBD, and monozygotic twins share 100% IBD. See also Population genetics External links https://web.archive.org/web/20060309055031/http://darwin.eeb.uconn.edu/eeb348/lecture-notes/identity.pdf http://zwets.com/pedkin/thompson.pdf Classical genetics
https://en.wikipedia.org/wiki/Identity%20by%20descent
A DNA segment is identical by state (IBS) in two or more individuals if they have identical nucleotide sequences in this segment. An IBS segment is identical by descent (IBD) in two or more individuals if they have inherited it from a common ancestor without recombination, that is, the segment has the same ancestral origin in these individuals. DNA segments that are IBD are IBS per definition, but segments that are not IBD can still be IBS due to the same mutations in different individuals or recombinations that do not alter the segment. Theory All individuals in a finite population are related if traced back long enough and will, therefore, share segments of their genomes IBD. During meiosis segments of IBD are broken up by recombination. Therefore, the expected length of an IBD segment depends on the number of generations since the most recent common ancestor at the locus of the segment. The length of IBD segments that result from a common ancestor n generations in the past (therefore involving 2n meiosis) is exponentially distributed with mean 1/(2n) Morgans (M). The expected number of IBD segments decreases with the number of generations since the common ancestor at this locus. For a specific DNA segment, the probability of being IBD decreases as 2−2n since in each meiosis the probability of transmitting this segment is 1/2. Applications Identified IBD segments can be used for a wide range of purposes. As noted above the amount (length and number) of IBD sharing depen
https://en.wikipedia.org/wiki/Fractional-order%20integrator
A fractional-order integrator or just simply fractional integrator is an integrator device that calculates the fractional-order integral or derivative (usually called a differintegral) of an input. Differentiation or integration is a real or complex parameter. The fractional integrator is useful in fractional-order control where the history of the system under control is important to the control system output. Overview The differintegral function, includes the integer order differentiation and integration functions, and allows a continuous range of functions around them. The differintegral parameters are a, t, and q. The parameters a and t describe the range over which to compute the result. The differintegral parameter q may be any real number or complex number. If q is greater than zero, the differintegral computes a derivative. If q is less than zero, the differintegral computes an integral. The integer order integration can be computed as a Riemann–Liouville differintegral, where the weight of each element in the sum is the constant unit value 1, which is equivalent to the Riemann sum. To compute an integer order derivative, the weights in the summation would be zero, with the exception of the most recent data points, where (in the case of the first unit derivative) the weight of the data point at t − 1 is −1 and the weight of the data point at t is 1. The sum of the points in the input function using these weights results in the difference of the most recent data poin
https://en.wikipedia.org/wiki/Poxviridae
Poxviridae is a family of double-stranded DNA viruses. Vertebrates and arthropods serve as natural hosts. There are currently 83 species in this family, divided among 22 genera, which are divided into two subfamilies. Diseases associated with this family include smallpox. Four genera of poxviruses may infect humans: Orthopoxvirus, Parapoxvirus, Yatapoxvirus, Molluscipoxvirus. Orthopoxvirus: smallpox virus (variola), vaccinia virus, cowpox virus, monkeypox virus; Parapoxvirus: orf virus, pseudocowpox, bovine papular stomatitis virus; Yatapoxvirus: tanapox virus, yaba monkey tumor virus; Molluscipoxvirus: molluscum contagiosum virus (MCV). The most common are vaccinia (seen on the Indian subcontinent) and molluscum contagiosum, but monkeypox infections are rising (seen in west and central African rainforest countries). The similarly named disease chickenpox is not a true poxvirus and is caused by the herpesvirus varicella zoster. Etymology The name of the family, Poxviridae, is a legacy of the original grouping of viruses associated with diseases that produced poxes on the skin. Modern viral classification is based on phenotypic characteristics; morphology, nucleic acid type, mode of replication, host organisms, and the type of disease they cause. The smallpox virus remains the most notable member of the family. History Diseases caused by pox viruses, especially smallpox, have been known about for centuries. One of the earliest suspected cases is that of Egyptian phara
https://en.wikipedia.org/wiki/Metaplasia
Metaplasia () is the transformation of one differentiated cell type to another differentiated cell type. The change from one type of cell to another may be part of a normal maturation process, or caused by some sort of abnormal stimulus. In simplistic terms, it is as if the original cells are not robust enough to withstand their environment, so they transform into another cell type better suited to their environment. If the stimulus causing metaplasia is removed or ceases, tissues return to their normal pattern of differentiation. Metaplasia is not synonymous with dysplasia, and is not considered to be an actual cancer. It is also contrasted with heteroplasia, which is the spontaneous abnormal growth of cytologic and histologic elements. Today, metaplastic changes are usually considered to be an early phase of carcinogenesis, specifically for those with a history of cancers or who are known to be susceptible to carcinogenic changes. Metaplastic change is thus often viewed as a premalignant condition that requires immediate intervention, either surgical or medical, lest it lead to cancer via malignant transformation. Causes When cells are faced with physiological or pathological stresses, they respond by adapting in any of several ways, one of which is metaplasia. It is a benign (i.e. non-cancerous) change that occurs as a response to change of milieu (physiological metaplasia) or chronic physical or chemical irritation. One example of pathological irritation is cigaret
https://en.wikipedia.org/wiki/Quinacridone
Quinacridone is an organic compound used as a pigment. Numerous derivatives constitute the quinacridone pigment family, which finds extensive use in industrial colorant applications such as robust outdoor paints, inkjet printer ink, tattoo inks, artists' watercolor paints, and color laser printer toner. As pigments, the quinacridones are insoluble. The development of this family of pigments supplanted the alizarin dyes. Synthesis The name indicates that the compounds are a fusion of acridone and quinoline, although they are not made that way. Classically the parent is prepared from the 2,5-dianilide of terephthalic acid (C6H2(NHPh)2(CO2H)2). Condensation of succinosuccinate esters with aniline followed by cyclization affords dihydroquinacridone, which are readily dehydrogenated. The latter is oxidized to quinacridone. Derivatives of quinacridone can be readily obtained by employing substituted anilines. Linear cis-Quinacridones can be prepared from isophthalic acid. Derivatives Quinacridone-based pigments are used to make high performance paints. Quinacridones were first sold as pigments by Du Pont in 1958. Quinacridones are considered "high performance" pigments because they have exceptional color and weather fastness. Major uses for quinacridones include automobile and industrial coatings. Nanocrystalline dispersions of quinacridone pigments functionalized with solubilizing surfactants are the most common magenta printing ink. Typically deep red to violet in colo
https://en.wikipedia.org/wiki/Solar-powered%20watch
A solar-powered watch or light-powered watch is a watch that is powered entirely or partly by a solar cell. History A model produced from 1978 by the Riehl Time Corporation was simply described as running on solar power, but having "silicon power cells" that "absorb energy from natural sunlight, daylight, or an ordinary light bulb". Some of the early solar watches of the 1970s had innovative and unique designs to accommodate the array of photovoltaic solar cells needed to power them (Synchronar, Nepro, Sicura and some models by Cristalonic, Alba, Rhythm, Seiko and Citizen). In 1996, Citizen started to sell analog light-powered watches under the Eco-Drive name. Since their introduction, photovoltaic devices have greatly improved their efficiency and thereby their capacity. Watchmakers have developed their technology such that solar-powered watches had by 2009 become a major part of their range. Several other watch manufacturers also use solar technology, such as Orient. Junghans, Casio, and Seiko. Inexpensive solar-powered watches were first sold in the 1980s and were popular amongst children, often featuring famous fictional characters such as Transformers or G.I. Joe. Technological details Typically, sunlight and artificial light are absorbed by a solar panel behind the crystal. The dial is either on a layer above or actually on the solar panel. This solar panel converts the light into electrical energy to power the watch. The watch will usually store energy in a rech
https://en.wikipedia.org/wiki/SAX%20J1808.4%E2%88%923658
A transient X-ray source first discovered in 1996 by the Italian-Dutch BeppoSAX satellite, SAX J1808.4−3658 revealed X-ray pulsations at the 401 Hz neutron star spin frequency when it was observed during a subsequent outburst in 1998 by NASA's RXTE satellite. The neutron star is orbited by a brown dwarf binary companion with a likely mass of 0.05 solar masses, every 2.01 hours. X-ray burst oscillations and quasi-periodic oscillations in addition to coherent X-ray pulsations have been seen from SAX J1808.4-3658, making it a Rosetta stone for interpretation of the timing behavior of low-mass X-ray binaries. These accreting millisecond X-ray pulsars are thought to be the evolutionary progenitors of recycled radio millisecond pulsars. A total of thirteen accreting millisecond X-ray pulsars have been discovered as of January 2011. Three of them are Intermittent millisecond X-ray pulsars (HETE J1900.1-2455, Aql X-1 and SAX J1748.9-2021), i.e. they emit pulsations sporadically during the outburst. On 21 August 2019 (UTC; 20 August in the US), Neutron Star Interior Composition Explorer (NICER) spotted the brightest X-ray burst so far observed. It came from SAX J1808.4−3658. References Accreting millisecond pulsars Sagittarius (constellation) Sagittarii, V4580 ?
https://en.wikipedia.org/wiki/Coahuiltecan%20languages
Coahuiltecan was a proposed language family in John Wesley Powell's 1891 classification of Native American languages. Most linguists now reject the view that the Coahuiltecan peoples of southern Texas and adjacent Mexico spoke a single or related languages. Coahuiltecan continues to be a convenient collective term for the languages and people of this region. Language relationships Similarities among the cultures among the indigenous people and the physical setting of south Texas led linguists to believe that the languages of the region were also similar. The Coahuiltecan language family was proposed to include all the languages of the region, including Karankawa and Tonkawa. Linguistic connections were proposed with Hokan, a language family of several Native American peoples living in California, Arizona, and Baja California. Most modern linguists, by contrast, see the Coahuiltecan region as one of linguistic diversity. A few words are known from seven different languages: Comecrudo, Cotoname, Aranama, Solano, Mamulique, Garza, and Coahuilteco or Pakawa. Coahuilteco or Pakawa seems to have been a lingua franca of Texas Coahuiltecans living at or near the Catholic Missions established at San Antonio in the 18th century. Almost certainly, many more languages were spoken, but numerous Coahuiltecan bands and ethnic groups became extinct between the 16th and 19th century and their languages were unrecorded. In 1886, ethnologist Albert Gatschet found perhaps the last su
https://en.wikipedia.org/wiki/Index%20calculus%20algorithm
In computational number theory, the index calculus algorithm is a probabilistic algorithm for computing discrete logarithms. Dedicated to the discrete logarithm in where is a prime, index calculus leads to a family of algorithms adapted to finite fields and to some families of elliptic curves. The algorithm collects relations among the discrete logarithms of small primes, computes them by a linear algebra procedure and finally expresses the desired discrete logarithm with respect to the discrete logarithms of small primes. Description Roughly speaking, the discrete log problem asks us to find an x such that , where g, h, and the modulus n are given. The algorithm (described in detail below) applies to the group where q is prime. It requires a factor base as input. This factor base is usually chosen to be the number −1 and the first r primes starting with 2. From the point of view of efficiency, we want this factor base to be small, but in order to solve the discrete log for a large group we require the factor base to be (relatively) large. In practical implementations of the algorithm, those conflicting objectives are compromised one way or another. The algorithm is performed in three stages. The first two stages depend only on the generator g and prime modulus q, and find the discrete logarithms of a factor base of r small primes. The third stage finds the discrete log of the desired number h in terms of the discrete logs of the factor base. The first stage consi
https://en.wikipedia.org/wiki/Ren%C3%A9-Louis%20Baire
René-Louis Baire (; 21 January 1874 – 5 July 1932) was a French mathematician most famous for his Baire category theorem, which helped to generalize and prove future theorems. His theory was published originally in his dissertation Sur les fonctions de variables réelles ("On the Functions of Real Variables") in 1899. Education and career The son of a tailor, Baire was one of three children from a poor working-class family in Paris. He started his studies when he entered the Lycée Lakanal through the use of a scholarship. In 1890, Baire completed his advanced classes and entered the special mathematics section of the Lycée Henri IV. While there, he prepared for and passed the entrance examination for the École Normale Supérieure and the École Polytechnique. He decided to attend the École Normale Supérieure in 1891. After receiving his three-year degree, Baire proceeded toward his agrégation. He did better than all the other students on the writing portion of the test but he did not pass the oral examination due to a lack of explanation and clarity in his lesson. After retaking the agrégation and passing, he was assigned to teach at the secondary school (lycée) in Bar-le-Duc. While there, Baire researched the concept of limits and discontinuity for his doctorate. He presented his thesis on March 24, 1899 and was awarded his doctorate. He continued to teach in secondary schools around France but was not happy teaching lower level mathematics. In 1901 Baire was appointed to the
https://en.wikipedia.org/wiki/Aerocalexico
Aerocalexico is a 2001 Calexico album that was only available on their 2001 tour or on their website. Track listing "All the Pretty Horses" "Blacktop" "'64 Ford Fairlane" "Transistorites" "Clothes of Sand" (by Nick Drake) "Train of Thought" "Redwood" "Gift X-Change" "TV Room" "Inch by Inch" "Reverse Ranch" "Crooked Road and the Briar" "Impromptu for Piano and Contrabass" "6 White Horses" "Sequoia" "Crawlspace" "Humano (instrumental)" "At the Table He Sat Alone with a Glass and Bottle of Wine" "AZ Room" "Bees and the Flies" "Crystal Frontier (original version)" "Hush A-Bye" "Singing Wind Ranch" Calexico (band) albums 2001 albums
https://en.wikipedia.org/wiki/Pancreatic%20enzymes%20%28medication%29
Pancreatic enzymes, also known as pancreases or pancrelipase and pancreatin, are commercial mixtures of amylase, lipase, and protease. They are used to treat malabsorption syndrome due to certain pancreatic problems. These pancreatic problems may be due to cystic fibrosis, surgical removal of the pancreas, long term pancreatitis, pancreatic cancer, or MODY 5, among others. The preparation is taken by mouth. Common side effects include vomiting, abdominal pain, constipation, and diarrhea. Other side effects include perianal irritation and high blood uric acid. The enzymes are from pigs. Use is believed to be safe during pregnancy. The components are digestive enzymes similar to those normally produced by the human pancreas. They help the person digest fats, starches, and proteins. Pancreatic enzymes have been used as medications since at least the 1800s. They are on the World Health Organization's List of Essential Medicines. In 2020, it was the 262nd most commonly prescribed medication in the United States, with more than 1million prescriptions. Medical uses Pancrelipases are generally a first line approach in treatment of exocrine pancreatic insufficiency and other digestive disorders, accompanying cystic fibrosis, complicating surgical pancreatectomy, or resulting from chronic pancreatitis. The formulations are generally hard capsules filled with gastro-resistant granules. Pancrelipases and pancreatins are similar, except pancrelipases has an increased lipase component.
https://en.wikipedia.org/wiki/Zymase
Zymase is an enzyme complex that catalyzes the fermentation of sugar into ethanol and carbon dioxide. It occurs naturally in yeasts. Zymase activity varies among yeast strains. Zymase is also the brand name of the drug pancrelipase. Cell-free fermentation experiment Zymase was first isolated from the yeast cell in 1897 by a German chemist named Eduard Buchner who fermented sugar in the laboratory without living cells, leading to 1907 Nobel Prize in Chemistry. The experiment for which Buchner won the Nobel Prize consisted of producing a cell-free extract of yeast cells and showing that this "press juice" could ferment sugar. This dealt yet another blow to vitalism by showing that the presence of living yeast cells was not needed for fermentation. The cell-free extract was produced by combining dry yeast cells, quartz and Diatomaceous earth and then pulverizing the yeast cells with a mortar and pestle. This mixture would then become moist as the yeast cells' contents would come out of the cells. Once this step was done, the moist mixture would be put through a press and when this resulting "press juice" had glucose, fructose, or maltose added, carbon dioxide was seen to evolve, sometimes for days. Microscopic investigation revealed no living yeast cells in the extract. Buchner hypothesized that yeast cells secrete proteins into their environment in order to ferment sugars. It was later shown that fermentation occurs inside the yeast cells. British chemist Sir Arthur Harde
https://en.wikipedia.org/wiki/Texas%20Medication%20Algorithm%20Project
The Texas Medication Algorithm Project (TMAP) is a decision-tree medical algorithm, the design of which was based on the expert opinions of mental health specialists. It has provided and rolled out a set of psychiatric management guidelines for doctors treating certain mental disorders within Texas' publicly funded mental health care system, along with manuals relating to each of them. The algorithms commence after diagnosis and cover pharmacological treatment (hence "Medication Algorithm"). History TMAP was initiated in the fall of 1997 and the initial research covered around 500 patients. TMAP arose from a collaboration that began in 1995 between the Texas Department of Mental Health and Mental Retardation (TDMHMR), pharmaceutical companies, and the University of Texas Southwestern. The research was supported by the National Institute of Mental Health, the Robert Wood Johnson Foundation, the Meadows Foundation, the Lightner-Sams Foundation, the Nanny Hogan Boyd Charitable Trust, TDMHMR, the Center for Mental Health Services, the Department of Veterans Affairs, the Health Services Research and Development Research Career Scientist Award, the United States Pharmacopoeia Convention Inc. and Mental Health Connections. Numerous companies that invent and develop antipsychotic medications provided use of their medications and furnished funding for the project. Companies did not participate in the production of the guidelines. In 2004 TMAP was mentioned as an example of a suc
https://en.wikipedia.org/wiki/Lufkin%20Industries
Lufkin Industries is an American manufacturing company founded in 1902 and headquartered in Missouri City, Texas. Lufkin is a provider of rod lift products, automated control and optimization equipment and software for rod lift equipment to the oil and gas industry. It was an independent company until being acquired by GE Oil & Gas in July 2013, which later merged with Baker Hughes to create Baker Hughes, a GE Company (BHGE). On June 30, 2020, KPS Capital Partners, LP completed its previously announced acquisition of Lufkin from Baker Hughes. History In 1902, The Lufkin Foundry and Machine Company was founded in Lufkin, Texas in 1902 to operate a machine shop to repair sawmill machinery. The company soon began manufacturing sawmill equipment and repairing locomotives. As the lumber industry declined in East Texas, the company expanded into the manufacture of oil drilling and refinery equipment. In the 1930s the company established an iron foundry and began manufacturing truck trailers and gears for industrial equipment. During World War II, the company specialized in manufacturing gears for use in military vehicles. After the war, sales of oil equipment slowed, but sales of trailers and industrial gears did better. The company had conflicts with organized labor in the 1950s and much of the 1960s. In 1970 the company's name was changed to Lufkin Industries, and three divisions were established: Machinery, Trailer, and Automotive/Industrial Supplies. The company prospered in
https://en.wikipedia.org/wiki/Medical%20algorithm
A medical algorithm is any computation, formula, statistical survey, nomogram, or look-up table, useful in healthcare. Medical algorithms include decision tree approaches to healthcare treatment (e.g., if symptoms A, B, and C are evident, then use treatment X) and also less clear-cut tools aimed at reducing or defining uncertainty. A medical prescription is also a type of medical algorithm. Scope Medical algorithms are part of a broader field which is usually fit under the aims of medical informatics and medical decision-making. Medical decisions occur in several areas of medical activity including medical test selection, diagnosis, therapy and prognosis, and automatic control of medical equipment. In relation to logic-based and artificial neural network-based clinical decision support systems, which are also computer applications used in the medical decision-making field, algorithms are less complex in architecture, data structure and user interface. Medical algorithms are not necessarily implemented using digital computers. In fact, many of them can be represented on paper, in the form of diagrams, nomographs, etc. Examples A wealth of medical information exists in the form of published medical algorithms. These algorithms range from simple calculations to complex outcome predictions. Most clinicians use only a small subset routinely. Examples of medical algorithms are: Calculators, e.g. an on-line or stand-alone calculator for body mass index (BMI) when stature and
https://en.wikipedia.org/wiki/Langerhans%20cell
A Langerhans cell (LC) is a tissue-resident macrophage of the skin once thought to be a resident dendritic cell. These cells contain organelles called Birbeck granules. They are present in all layers of the epidermis and are most prominent in the stratum spinosum. They also occur in the papillary dermis, particularly around blood vessels, as well as in the mucosa of the mouth, foreskin, and vaginal epithelium. They can be found in other tissues, such as lymph nodes, particularly in association with the condition Langerhans cell histiocytosis (LCH). Function In skin infections, the local Langerhans cells take up and process microbial antigens to become fully functional antigen-presenting cells. Generally, tissue-resident macrophages are involved in immune homeostasis and the uptake of apoptotic bodies. However, Langerhans cells can also take on a dendritic cell-like phenotype and migrate to lymph nodes to interact with naive T-cells. Langerhans cells derive from primitive erythro-myeloid progenitors that arise in the yolk sac outside the embryo in the first trimester of pregnancy, and under normal circumstances persist throughout life, being replenished by local proliferation as necessary. If the skin becomes severely inflamed, perhaps because of infection, blood monocytes are recruited to the affected region and differentiate into replacement LCs. Langerin is a protein found in Langerhans cells, and dendritic cells. LCs contain a large amount of cannabinoid receptor type
https://en.wikipedia.org/wiki/NAIC
NAIC may refer to: The National Astronomy and Ionosphere Center The North American Industry Classification System The National Association of Insurance Commissioners The National Air Intelligence Center, the former name of National Air and Space Intelligence Center, a USAF intelligence unit The National Automotive Innovation Centre Places Naic, Cavite, Philippines
https://en.wikipedia.org/wiki/P-glycoprotein
P-glycoprotein 1 (permeability glycoprotein, abbreviated as P-gp or Pgp) also known as multidrug resistance protein 1 (MDR1) or ATP-binding cassette sub-family B member 1 (ABCB1) or cluster of differentiation 243 (CD243) is an important protein of the cell membrane that pumps many foreign substances out of cells. More formally, it is an ATP-dependent efflux pump with broad substrate specificity. It exists in animals, fungi, and bacteria, and it likely evolved as a defense mechanism against harmful substances. P-gp is extensively distributed and expressed in the intestinal epithelium where it pumps xenobiotics (such as toxins or drugs) back into the intestinal lumen, in liver cells where it pumps them into bile ducts, in the cells of the proximal tubule of the kidney where it pumps them into urinary filtrate (in the proximal tubule), and in the capillary endothelial cells composing the blood–brain barrier and blood–testis barrier, where it pumps them back into the capillaries. P-gp is a glycoprotein that in humans is encoded by the ABCB1 gene. P-gp is a well-characterized ABC-transporter (which transports a wide variety of substrates across extra- and intracellular membranes) of the MDR/TAP subfamily. The normal excretion of xenobiotics back into the gut lumen by P-gp pharmacokinetically reduces the efficacy of some pharmaceutical drugs (which are said to be P-gp substrates). In addition, some cancer cells also express large amounts of P-gp, further amplifying that effect an
https://en.wikipedia.org/wiki/Abderhalden%20reaction
The Abderhalden reaction was a blood test for pregnancy developed by Emil Abderhalden. In 1909 Abderhalden found that on identification of a foreign protein in the blood, the body reacts with a "defensive fermentation" (in modern terms, a protease reaction) that causes disintegration of the protein. He developed the test in 1912. This test became a subject of contention soon after its development, and a significant body of work was published both in support of and refuting the test's reliability. One such publication concluded "...the individual variations of both pregnant and non-pregnant sera make the results from both overlap so completely as to render the reaction, even with quantitative technique, absolutely indecisive for either positive or negative diagnosis of pregnancy." (Van Slyke et al. 1915). The test's overall unreliability led to its being superseded in 1928 by the Aschheim-Zondek test. Due to Abderhalden's high reputation, it was not internationally acknowledged until long after his death that the underlying theory of "defensive enzymes" (Abwehrfermente) was entirely fraudulent (Deichmann & Müller-Hill 1998). References Deichmann, U. & Müller-Hill, B. (1998): The fraud of Abderhalden's enzymes. Nature 393:109-111. HTML abstract Firkin, B. G. & Whitworth, J. A. (1987): Dictionary of Medical Eponyms. Parthenon Publishing. Van Slyke, Donald D.; Vinograd-Villchur, Mariam; and Losee, J.R. (1915): The Abderhalden Reaction. Journal of Biological Chemistry 23(
https://en.wikipedia.org/wiki/Fimbrin
Fimbrin also known as is plastin 1 is a protein that in humans is encoded by the PLS1 gene. Fimbrin is an actin cross-linking protein important in the formation of filopodia. Structure Fimbrin belongs to the calponin homology (CH) domain superfamily of actin cross-linking proteins. Like other members of this superfamily, which include α-actinin, β-spectrin, dystrophin, ABP-120 and filamin, it has a conserved 27 kDa actin-binding domain that contains a tandem duplication of a sequence that is homologous to calponin. In addition to cross-linking actin filaments into bundles and networks, CH domains also bind intermediate filaments and some signal transduction proteins to the actin cytoskeleton. Structural comparison of actin filaments and fimbrin CH domain-decorated actin filaments has revealed changes in the actin structure due to fimbrin-mediated cross-linking that may affect the actin filaments' affinity for other actin-binding proteins and may be part of the regulation of the cytoskeleton itself. In humans, three highly homologous, strictly tissue and locale specific isoforms have been identified: I-, T- and L-fimbrin. L-fimbrin is found in only normal or transformed leukocytes where it becomes phosphorylated in response to other factors such as interleukin-1. I-fimbrin is expressed by intestine and kidney epithelial cells. T-fimbrin is found in epithelial and mesenchymal cells derived from solid tissue where it does not become phosphorylated. Differences in expression,
https://en.wikipedia.org/wiki/406%20Erna
Erna (minor planet designation: 406 Erna), provisional designation , is a dark asteroid of the background population in the outer regions of the asteroid belt, approximately 46 kilometers in diameter. It was discovered by French astronomer Auguste Charlois at Nice Observatory on 22 August 1895. The asteroid was presumably named after Erna Bidschof, the granddaughter of Johann Palisa. Orbit and classification Erna is a non-family asteroid from the main belt's background population. It orbits the Sun in the outer asteroid belt at a distance of 2.4–3.4 AU once every 4 years and 12 months (1,818 days). Its orbit has an eccentricity of 0.18 and an inclination of 4° with respect to the ecliptic. The body's observation arc begins at the United States Naval Observatory in September 1905, more than 10 years after its official discovery observation at Nice. Physical characteristics In the Tholen classification, Erna is a dark and primitive P-type asteroid. It has also been characterized as such by polarimetric observations. Rotation period In October 2005, a rotational lightcurve of Erna was obtained from photometric observations by French and Italian astronomers Raymond Poncy (), Roberto Crippa (), Federico Manzini and Silvano Casulli. Lightcurve analysis gave a well-defined rotation period of 8.7893 hours with a brightness variation of 0.35 magnitude (). Another lightcurve from the Palomar Transient Factory in November 2010 gave a similar period of 8.790 hours with an amplit
https://en.wikipedia.org/wiki/445%20Edna
Edna (minor planet designation: 445 Edna) is a large Main belt asteroid. It was discovered by E. F. Coddington on October 2, 1899, at Mount Hamilton, California. It was the astronomer's third and final asteroid discovery. References External links Background asteroids Edna Edna C-type asteroids (Tholen) 18991002
https://en.wikipedia.org/wiki/Brianchon%27s%20theorem
In geometry, Brianchon's theorem is a theorem stating that when a hexagon is circumscribed around a conic section, its principal diagonals (those connecting opposite vertices) meet in a single point. It is named after Charles Julien Brianchon (1783–1864). Formal statement Let be a hexagon formed by six tangent lines of a conic section. Then lines (extended diagonals each connecting opposite vertices) intersect at a single point , the Brianchon point. Connection to Pascal's theorem The polar reciprocal and projective dual of this theorem give Pascal's theorem. Degenerations As for Pascal's theorem there exist degenerations for Brianchon's theorem, too: Let coincide two neighbored tangents. Their point of intersection becomes a point of the conic. In the diagram three pairs of neighbored tangents coincide. This procedure results in a statement on inellipses of triangles. From a projective point of view the two triangles and lie perspectively with center . That means there exists a central collineation, which maps the one onto the other triangle. But only in special cases this collineation is an affine scaling. For example for a Steiner inellipse, where the Brianchon point is the centroid. In the affine plane Brianchon's theorem is true in both the affine plane and the real projective plane. However, its statement in the affine plane is in a sense less informative and more complicated than that in the projective plane. Consider, for example, five tangent lines to a p
https://en.wikipedia.org/wiki/Phanerite
A phanerite is an igneous rock whose microstructure is made up of crystals large enough to be distinguished with the unaided human eye. In contrast, the crystals in an aphanitic rock are too fine-grained to be identifiable. Phaneritic texture forms when magma deep underground in the plutonic environment cools slowly, giving the crystals time to grow. Phanerites are often described as coarse-grained or macroscopically crystalline. References Phaneritic rocks Petrology
https://en.wikipedia.org/wiki/Factor%20X
Factor X, also known by the eponym Stuart–Prower factor, is an enzyme () of the coagulation cascade. It is a serine endopeptidase (protease group S1, PA clan). Factor X is synthesized in the liver and requires vitamin K for its synthesis. Factor X is activated, by hydrolysis, into factor Xa by both factor IX (with its cofactor, factor VIII in a complex known as intrinsic tenase) and factor VII with its cofactor, tissue factor (a complex known as extrinsic tenase). It is therefore the first member of the final common pathway or thrombin pathway. It acts by cleaving prothrombin in two places (an arg-thr and then an arg-ile bond), which yields the active thrombin. This process is optimized when factor Xa is complexed with activated co-factor V in the prothrombinase complex. Factor Xa is inactivated by protein Z-dependent protease inhibitor (ZPI), a serine protease inhibitor (serpin). The affinity of this protein for factor Xa is increased 1000-fold by the presence of protein Z, while it does not require protein Z for inactivation of factor XI. Defects in protein Z lead to increased factor Xa activity and a propensity for thrombosis. The half life of factor X is 40–45 hours. Structure The first crystal structure of human factor Xa was deposited in May 1993. To date, 191 crystal structures of factor Xa with various inhibitors have been deposited in the protein data bank. The active site of factor Xa is divided into four subpockets as S1, S2, S3 and S4. The S1 subpocket dete
https://en.wikipedia.org/wiki/Tipu%27s%20Tiger
Tipu's Tiger or Tippu's Tiger is an 18th-century automaton or mechanical toy created for Tipu Sultan, the ruler of the Kingdom of Mysore (present day Bengaluru) in India. The carved and painted wood casing represents a tiger mauling a near life-size European man. Mechanisms inside the tiger and the man's body make one hand of the man move, emit a wailing sound from his mouth and grunts from the tiger. In addition a flap on the side of the tiger folds down to reveal the keyboard of a small pipe organ with 18 notes. As a gift for Tipu the automaton makes use of his personal emblem of the tiger and expresses his hatred of his enemy, the British of the East India Company. The tiger was taken from his summer palace when East India Company troops stormed Tipu's capital in 1799. The Governor General, Lord Mornington, sent the tiger to Britain initially intending it to be an exhibit in the Tower of London. First exhibited to the London public in 1808 in East India House, then the offices of the East India Company in London, it was later transferred to the Victoria and Albert Museum (V&A) in 1880 (accession number 2545(IS)). It now forms part of the permanent exhibit on the "Imperial courts of South India". From the moment it arrived in London to the present day, Tipu's Tiger has been a popular attraction to the public. Background Tipu's Tiger was originally made for Tipu Sultan (also referred to as Tippoo Sahib, Tippoo Sultan and other epithets in nineteenth-century literature) i
https://en.wikipedia.org/wiki/Phosphatidic%20acid
Phosphatidic acids are anionic phospholipids important to cell signaling and direct activation of lipid-gated ion channels. Hydrolysis of phosphatidic acid gives rise to one molecule each of glycerol and phosphoric acid and two molecules of fatty acids. They constitute about 0.25% of phospholipids in the bilayer. Structure Phosphatidic acid consists of a glycerol backbone, with, in general, a saturated fatty acid bonded to carbon-1, an unsaturated fatty acid bonded to carbon-2, and a phosphate group bonded to carbon-3. Formation and degradation Besides de novo synthesis, PA can be formed in three ways: By phospholipase D (PLD), via the hydrolysis of the P-O bond of phosphatidylcholine (PC) to produce PA and choline. By the phosphorylation of diacylglycerol (DAG) by DAG kinase (DAGK). By the acylation of lysophosphatidic acid by lysoPA-acyltransferase (LPAAT); this is the most common pathway. The glycerol 3-phosphate pathway for de novo synthesis of PA is shown here: In addition, PA can be converted into DAG by lipid phosphate phosphohydrolases (LPPs) or into lyso-PA by phospholipase A (PLA). Roles in the cell The role of PA in the cell can be divided into three categories: PA is the precursor for the biosynthesis of many other lipids. The physical properties of PA influence membrane curvature. PA acts as a signaling lipid, recruiting cytosolic proteins to appropriate membranes (e.g., sphingosine kinase 1). PA plays very important role in phototransduction in Droso
https://en.wikipedia.org/wiki/Positive%20and%20negative%20predictive%20values
The positive and negative predictive values (PPV and NPV respectively) are the proportions of positive and negative results in statistics and diagnostic tests that are true positive and true negative results, respectively. The PPV and NPV describe the performance of a diagnostic test or other statistical measure. A high result can be interpreted as indicating the accuracy of such a statistic. The PPV and NPV are not intrinsic to the test (as true positive rate and true negative rate are); they depend also on the prevalence. Both PPV and NPV can be derived using Bayes' theorem. Although sometimes used synonymously, a positive predictive value generally refers to what is established by control groups, while a post-test probability refers to a probability for an individual. Still, if the individual's pre-test probability of the target condition is the same as the prevalence in the control group used to establish the positive predictive value, the two are numerically equal. In information retrieval, the PPV statistic is often called the precision. Definition Positive predictive value (PPV) The positive predictive value (PPV), or precision, is defined as where a "true positive" is the event that the test makes a positive prediction, and the subject has a positive result under the gold standard, and a "false positive" is the event that the test makes a positive prediction, and the subject has a negative result under the gold standard. The ideal value of the PPV, with a perfec
https://en.wikipedia.org/wiki/Dictator%20game
The dictator game is a popular experimental instrument in social psychology and economics, a derivative of the ultimatum game. The term "game" is a misnomer because it captures a decision by a single player: to send money to another or not. Thus, the dictator has the most power and holds the preferred position in this “game.” Although the “dictator” has the most power and presents a take it or leave it offer, the game has mixed results based on different behavioral attributes. The results – where most "dictators" choose to send money – evidence the role of fairness and norms in economic behavior, and undermine the assumption of narrow self-interest when given the opportunity to maximise one's own profits. Description The dictator game is a derivative of the ultimatum game, in which one player (the proposer) provides a one-time offer to the other (the responder). The responder can choose to either accept or reject the proposer's bid, but rejecting the bid would result in both players receiving a payoff of 0. In the dictator game, the first player, "the dictator", determines how to split an endowment (such as a cash prize) between themselves and the second player (the recipient). The dictator's action space is complete and therefore is at their own will to determine the endowment, which ranges from giving nothing to giving all the endowment. The recipient has no influence over the outcome of the game, which means the recipient plays a passive role. While the ultimatum game is
https://en.wikipedia.org/wiki/Long-chain%203-hydroxyacyl-coenzyme%20A%20dehydrogenase%20deficiency
Long-chain 3-hydroxyacyl-coenzyme A dehydrogenase deficiency is a rare autosomal recessive fatty acid oxidation disorder that prevents the body from converting certain fats into energy. This can become life-threatening, particularly during periods of fasting. Symptoms and signs Typically, initial signs and symptoms of this disorder occur during infancy or early childhood and can include feeding difficulties, lethargy, hypoglycemia, hypotonia, liver problems, and abnormalities in the retina. Muscle pain, a breakdown of muscle tissue, and abnormalities in the nervous system that affect arms and legs (peripheral neuropathy) may occur later in childhood. There is also a risk for complications such as life-threatening heart and breathing problems, coma, and sudden unexpected death. Episodes of LCHAD deficiency can be triggered by periods of fasting or by illnesses such as viral infections. Genetics Mutations in the HADHA gene lead to inadequate levels of an enzyme called long-chain 3-hydroxyacyl-coenzyme A (CoA) dehydrogenase, which is part of a protein complex known as mitochondrial trifunctional protein. Long-chain fatty acids from food and body fat cannot be metabolized and processed without sufficient levels of this enzyme. As a result, these fatty acids are not converted to energy, which can lead to characteristic features of this disorder, such as lethargy and hypoglycemia. Long-chain fatty acids or partially metabolized fatty acids may build up in tissues and damage the
https://en.wikipedia.org/wiki/Jikes
Jikes is an open-source Java compiler written in C++. It is no longer being updated. The original version was developed by David L. "Dave" Shields and Philippe Charles at IBM but was quickly transformed into an open-source project contributed to by an active community of developers. Initially hosted by IBM, the project was later transferred to SourceForge. Among its accomplishments, it was much faster in compiling small projects than Sun's own compiler, and provided more helpful warnings and errors. Project status the project is no longer being actively developed. The last 1.22 version was released in October 2004 and partially supports Java 5.0 (with respect to new classes, but not new language features). As no further versions were released since, Java SE 6 is not supported. While the free software community needed free Java implementations, the GNU Compiler for Java became the most commonly used compiler. See also Jikes RVM References External links Jikes Archives, hosted by David Shields on WordPress.com Discontinued development tools Free compilers and interpreters Java compilers
https://en.wikipedia.org/wiki/Charles%20Yanofsky
Charles Yanofsky (April 17, 1925 – March 16, 2018) was an American geneticist on the faculty of Stanford University who contributed to the establishment of the one gene-one enzyme hypothesis and discovered attenuation, a riboswitch mechanism in which messenger RNA changes shape in response to a small molecule and thus alters its binding ability for the regulatory region of a gene or operon. Education and early life Charles Yanofsky was born on April 17, 1925, in New York. He was one of the earliest graduates of the Bronx High School of Science, then studied at the City College of New York and completed his degree in biochemistry in spite of having had his education interrupted by military service in World War II including participation in the Battle of the Bulge. In 1948, having returned and completed college, he took up graduate work towards his master's degree and PhD, both granted by Yale University. He pursued postdoctoral work at Yale for a time, completing work started during his PhD training. Career and research Yanofsky joined the Case Western Reserve Medical School faculty in 1954. He moved to the faculty at Stanford University as an Associate Professor in 1958. In 1964, Yanofsky and colleagues established that gene sequences and protein sequences are colinear in bacteria. Yanofsky showed that changes in DNA sequence can produce changes in protein sequence at corresponding positions. His work is considered the best evidence in favor of the one gene-one enzyme
https://en.wikipedia.org/wiki/Factor%20V
Factor V (pronounced factor five) is a protein of the coagulation system, rarely referred to as proaccelerin or labile factor. In contrast to most other coagulation factors, it is not enzymatically active but functions as a cofactor. Deficiency leads to predisposition for hemorrhage, while some mutations (most notably factor V Leiden) predispose for thrombosis. Genetics The gene for factor V is located on the first chromosome (1q24). It is genomically related to the family of multicopper oxidases, and is homologous to coagulation factor VIII. The gene spans 70 kb, consists of 25 exons, and the resulting protein has a relative molecular mass of approximately 330kDa. Structure Factor V protein consists of six domains: A1-A2-B-A3-C1-C2. The A domains are homologous to the A domains of the copper-binding protein ceruloplasmin, and form a triangular as in that protein. A copper ion is bound in the A1-A3 interface, and A3 interacts with the plasma. The C domains belong to the phospholipid-binding discoidin domain family (unrelated to C2 domain), and the C2 domain mediates membrane binding. The B domain C-terminus acts as a cofactor for the anticoagulant protein C activation by protein S. Activation of factor V to factor Va is done by cleavage and release of the B domain, after which the protein no longer assists in activating protein C. The protein is now divided to a heavy chain, consisting of the A1-A2 domains, and a light chain, consisting of the A3-C1-C2 domains. Both for
https://en.wikipedia.org/wiki/Caco
Caco or CACO may refer to: Central Asian Cooperation Organization Cacos (military group), groups of Haitian armed individuals in the 19th and 20th century Caco-2 cell line Casualty Assistance Calls Officer, in Casualty notification Qaqun, a Palestinian Arab village depopulated in 1948 Caco, a common nickname for the Portuguese given name Carlos Caco is the nickname of Mušan Topalović, Bosnian war commander
https://en.wikipedia.org/wiki/Other%20Backward%20Class
The Other Backward Class (OBC) is a collective term used by the Government of India to classify castes which are educationally or socially backward. It is one of several official classifications of the population of India, along with general castes, Scheduled Castes and Scheduled Tribes (SCs and STs). The OBCs were found to comprise 52% of the country's population by the Mandal Commission report of 1980, and were determined to be 41% in 2006 when the National Sample Survey Organisation took place. There is substantial debate over the exact number of OBCs in India; it is generally estimated to be sizable, but many believe that it is higher than the figures quoted by either the Mandal Commission or the National Sample Survey. In the Indian Constitution, OBCs are described as socially and educationally backward classes (SEBC), and the Government of India is enjoined to ensure their social and educational development — for example, the OBCs are entitled to 27% reservations in public sector employment and higher education. The list of OBCs maintained by the Indian Ministry of Social Justice and Empowerment is dynamic, with castes and communities being added or removed depending on social, educational and economic factors. In a reply to a question in Lok Sabha, Union Minister Jitendra Singh informed that as in January 2016, the percentage of OBCs in central government services is 21.57% and has shown an increasing trend since September 1993. Likewise, in 2015, at educational inst
https://en.wikipedia.org/wiki/Factor%20XI
Factor XI or plasma thromboplastin antecedent is the zymogen form of factor XIa, one of the enzymes of the coagulation cascade. Like many other coagulation factors, it is a serine protease. In humans, Factor XI is encoded by the F11 gene. Function Factor XI (FXI) is produced by the liver and circulates as a homo-dimer in its inactive form. The plasma half-life of FXI is approximately 52 hours. The zymogen factor is activated into factor XIa by factor XIIa (FXIIa), thrombin, and FXIa itself; due to its activation by FXIIa, FXI is a member of the "contact pathway" (which includes HMWK, prekallikrein, factor XII, factor XI, and factor IX). Factor XIa activates factor IX by selectively cleaving arg-ala and arg-val peptide bonds. Factor IXa, in turn, forms a complex with Factor VIIIa (FIXa-FVIIIa) and activates factor X. Physiological inhibitors of factor XIa include protein Z-dependent protease inhibitor (ZPI, a member of the serine protease inhibitor/serpin class of proteins), which is independent of protein Z (its action on factor X, however, is protein Z-dependent, hence its name). Structure Although synthesized as a single polypeptide chain, FXI circulates as a homodimer. Every chain has a relative molecular mass of approximately 80000. Typical plasma concentrations of FXI are 5 μg/mL, corresponding to a plasma concentration (of FXI dimers) of approximately 30 nM. The FXI gene is 23kb in length, has 15 exons, and is found on chromosome 4q32-35. Factor XI consists of
https://en.wikipedia.org/wiki/Oral%20rehydration%20therapy
Oral rehydration therapy (ORT) is a type of fluid replacement used to prevent and treat dehydration, especially due to diarrhea. It involves drinking water with modest amounts of sugar and salts, specifically sodium and potassium. Oral rehydration therapy can also be given by a nasogastric tube. Therapy should routinely include the use of zinc supplements. Use of oral rehydration therapy has been estimated to decrease the risk of death from diarrhea by up to 93%. Side effects may include vomiting, high blood sodium, or high blood potassium. If vomiting occurs, it is recommended that use be paused for 10 minutes and then gradually restarted. The recommended formulation includes sodium chloride, sodium citrate, potassium chloride, and glucose. Glucose may be replaced by sucrose and sodium citrate may be replaced by sodium bicarbonate, if not available, although the resulting mixture is not shelf stable in high-humidity environments. It works as glucose increases the uptake of sodium and thus water by the intestines, and the potassium chloride and sodium citrate help prevent hypokalemia and acidosis, respectively, which are both common side effects of diarrhea. A number of other formulations are also available including versions that can be made at home. However, the use of homemade solutions has not been well studied. Oral therapy was developed in the 1940s using electrolyte solutions with or without glucose on an empirical basis chiefly for mild or convalescent patients, but
https://en.wikipedia.org/wiki/Multipolar%20neuron
A multipolar neuron is a type of neuron that possesses a single axon and many dendrites (and dendritic branches), allowing for the integration of a great deal of information from other neurons. These processes are projections from the neuron cell body. Multipolar neurons constitute the majority of neurons in the central nervous system. They include motor neurons and interneurons/relaying neurons are most commonly found in the cortex of the brain and the spinal cord. Peripherally, multipolar neurons are found in autonomic ganglia. See also Dogiel cells Ganglion cell Purkinje cell Pyramidal cell Additional images References External links Diagram Diagram Image Central nervous system neurons
https://en.wikipedia.org/wiki/Fast%20wavelet%20transform
The fast wavelet transform is a mathematical algorithm designed to turn a waveform or signal in the time domain into a sequence of coefficients based on an orthogonal basis of small finite waves, or wavelets. The transform can be easily extended to multidimensional signals, such as images, where the time domain is replaced with the space domain. This algorithm was introduced in 1989 by Stéphane Mallat. It has as theoretical foundation the device of a finitely generated, orthogonal multiresolution analysis (MRA). In the terms given there, one selects a sampling scale J with sampling rate of 2J per unit interval, and projects the given signal f onto the space ; in theory by computing the scalar products where is the scaling function of the chosen wavelet transform; in practice by any suitable sampling procedure under the condition that the signal is highly oversampled, so is the orthogonal projection or at least some good approximation of the original signal in . The MRA is characterised by its scaling sequence or, as Z-transform, and its wavelet sequence or (some coefficients might be zero). Those allow to compute the wavelet coefficients , at least some range k=M,...,J-1, without having to approximate the integrals in the corresponding scalar products. Instead, one can directly, with the help of convolution and decimation operators, compute those coefficients from the first approximation . Forward DWT For the discrete wavelet transform (DWT), one compute
https://en.wikipedia.org/wiki/Thiazole
Thiazole, or 1,3-thiazole, is a 5-membered heterocyclic compound that contains both sulfur and nitrogen. The term 'thiazole' also refers to a large family of derivatives. Thiazole itself is a pale yellow liquid with a pyridine-like odor and the molecular formula C3H3NS. The thiazole ring is notable as a component of the vitamin thiamine (B1). Molecular and electronic structure Thiazoles are members of the azoles, heterocycles that include imidazoles and oxazoles. Thiazole can also be considered a functional group when part of a larger molecule. Being planar thiazoles are characterized by significant pi-electron delocalization and have some degree of aromaticity, moreso than the corresponding oxazoles. This aromaticity is evidenced by the 1H NMR chemical shift of the ring protons, which absorb between 7.27 and 8.77 ppm, indicating a strong diamagnetic ring current. The calculated pi-electron density marks C5 as the primary site for electrophilic substitution, and C2-H as susceptible to deprotonation. Occurrence of thiazoles and thiazolium salts Thiazoles are found in a variety of specialized products, often fused with benzene derivatives, the so-called benzothiazoles. In addition to vitamin B1, the thiazole ring is found in epothilone. Other important thiazole derivatives are benzothiazoles, for example, the firefly chemical luciferin. Whereas thiazoles are well represented in biomolecules, oxazoles are not. It is found in naturally occurring peptides, and utilised in
https://en.wikipedia.org/wiki/Canadian%20Global%20Almanac
The Canadian Global Almanac is a Canadian reference book containing a large collection of facts and statistics. It grew out of the American World Almanac and Book of Facts when in 1986 an all-Canadian version was published, edited by John Filion and published by Susan Yates. John Robert Columbo later became its editor. While it was being published, a new edition was released each year in November. The almanac has not been published since 2005. Almanacs Canadian non-fiction books
https://en.wikipedia.org/wiki/Active-set%20method
In mathematical optimization, the active-set method is an algorithm used to identify the active constraints in a set of inequality constraints. The active constraints are then expressed as equality constraints, thereby transforming an inequality-constrained problem into a simpler equality-constrained subproblem. An optimization problem is defined using an objective function to minimize or maximize, and a set of constraints that define the feasible region, that is, the set of all x to search for the optimal solution. Given a point in the feasible region, a constraint is called active at if , and inactive at if Equality constraints are always active. The active set at is made up of those constraints that are active at the current point . The active set is particularly important in optimization theory, as it determines which constraints will influence the final result of optimization. For example, in solving the linear programming problem, the active set gives the hyperplanes that intersect at the solution point. In quadratic programming, as the solution is not necessarily on one of the edges of the bounding polygon, an estimation of the active set gives us a subset of inequalities to watch while searching the solution, which reduces the complexity of the search. Active-set methods In general an active-set algorithm has the following structure: Find a feasible starting point repeat until "optimal enough" solve the equality problem defined by the active set
https://en.wikipedia.org/wiki/Variance%20swap
A variance swap is an over-the-counter financial derivative that allows one to speculate on or hedge risks associated with the magnitude of movement, i.e. volatility, of some underlying product, like an exchange rate, interest rate, or stock index. One leg of the swap will pay an amount based upon the realized variance of the price changes of the underlying product. Conventionally, these price changes will be daily log returns, based upon the most commonly used closing price. The other leg of the swap will pay a fixed amount, which is the strike, quoted at the deal's inception. Thus the net payoff to the counterparties will be the difference between these two and will be settled in cash at the expiration of the deal, though some cash payments will likely be made along the way by one or the other counterparty to maintain agreed upon margin. Structure and features The features of a variance swap include: the variance strike the realized variance the vega notional: Like other swaps, the payoff is determined based on a notional amount that is never exchanged. However, in the case of a variance swap, the notional amount is specified in terms of vega, to convert the payoff into dollar terms. The payoff of a variance swap is given as follows: where: = variance notional (a.k.a. variance units), = annualised realised variance, and = variance strike. The annualised realised variance is calculated based on a prespecified set of sampling points over the period. It does not
https://en.wikipedia.org/wiki/Synthetic%20membrane
An artificial membrane, or synthetic membrane, is a synthetically created membrane which is usually intended for separation purposes in laboratory or in industry. Synthetic membranes have been successfully used for small and large-scale industrial processes since the middle of twentieth century. A wide variety of synthetic membranes is known. They can be produced from organic materials such as polymers and liquids, as well as inorganic materials. The most of commercially utilized synthetic membranes in separation industry are made of polymeric structures. They can be classified based on their surface chemistry, bulk structure, morphology, and production method. The chemical and physical properties of synthetic membranes and separated particles as well as a choice of driving force define a particular membrane separation process. The most commonly used driving forces of a membrane process in industry are pressure and concentration gradients. The respective membrane process is therefore known as filtration. Synthetic membranes utilized in a separation process can be of different geometry and of respective flow configuration. They can also be categorized based on their application and separation regime. The best known synthetic membrane separation processes include water purification, reverse osmosis, dehydrogenation of natural gas, removal of cell particles by microfiltration and ultrafiltration, removal of microorganisms from dairy products, and Dialysis. Membrane types and st
https://en.wikipedia.org/wiki/Psyco
Psyco is an unmaintained specializing just-in-time compiler for pre-2.7 Python originally developed by Armin Rigo and further maintained and developed by Christian Tismer. Development ceased in December, 2011. Psyco ran on BSD-derived operating systems, Linux, Mac OS X and Microsoft Windows using 32-bit Intel-compatible processors. Psyco was written in C and generated only 32-bit x86-based code. Although Tismer announced on 17 July 2009 that work was being done on a second version of Psyco, a further announcement declared the project "unmaintained and dead" on 12 March 2012 and pointed visitors to PyPy instead. Unlike Psyco, PyPy incorporates an interpreter and a compiler that can generate C, improving its cross-platform compatibility over Psyco. Speed enhancement Psyco can noticeably speed up CPU-bound applications. The actual performance depends greatly on the application and varies from a slight slowdown to a 100x speedup. The average speed improvement is typically in the 1.5-4x range, making Python performance close to languages such as Smalltalk and Scheme, but still slower than compiled languages such as Fortran, C or some other JIT languages like C# and Java. Psyco also advertises its ease of use: the simplest Psyco optimization involves adding only two lines to the top of a script: import psyco psyco.full() These commands will import the psyco module, and have Psyco optimize the entire script. This approach is best suited to shorter scripts, but demonstrates th
https://en.wikipedia.org/wiki/Contorsion%20tensor
The contorsion tensor in differential geometry is the difference between a connection with and without torsion in it. It commonly appears in the study of spin connections. Thus, for example, a vielbein together with a spin connection, when subject to the condition of vanishing torsion, gives a description of Einstein gravity. For supersymmetry, the same constraint, of vanishing torsion, gives (the field equations of) 11-dimensional supergravity. That is, the contorsion tensor, along with the connection, becomes one of the dynamical objects of the theory, demoting the metric to a secondary, derived role. The elimination of torsion in a connection is referred to as the absorption of torsion, and is one of the steps of Cartan's equivalence method for establishing the equivalence of geometric structures. Definition in metric geometry In metric geometry, the contorsion tensor expresses the difference between a metric-compatible affine connection with Christoffel symbol and the unique torsion-free Levi-Civita connection for the same metric. The contorsion tensor is defined in terms of the torsion tensor as (up to a sign, see below) where the indices are being raised and lowered with respect to the metric: . The reason for the non-obvious sum in the definition of the contorsion tensor is due to the sum-sum difference that enforces metric compatibility. The contorsion tensor is antisymmetric in the first two indices, whilst the torsion tensor itself is antisymmetric in it