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https://en.wikipedia.org/wiki/List%20of%20colleges%20and%20universities%20in%20Washington%2C%20D.C.
There are nineteen colleges and universities in Washington, D.C., that are listed under the Carnegie Classification of Institutions of Higher Education. These institutions include five research universities, four master's universities, and ten special-focus institutions. Sixteen of Washington, D.C.'s post-secondary institutions are private, of which three are for-profit. Only three of the city's post-secondary institutions listed under the Carnegie Classification of Institutions of Higher Education are public. In addition to the institutions listed under the Carnegie Classification of Institutions of Higher Education, Washington, D.C., has three additional private not-for-profit post-secondary institutions (Johns Hopkins University's Paul H. Nitze School of Advanced International Studies, NewU University, and St. Paul's College) and two additional public post-secondary institutions (National Defense University and the Inter-American Defense College). Washington, D.C.'s oldest post-secondary institution is Georgetown University, founded in 1789. Georgetown University is also the oldest Jesuit and Catholic university in the United States. Founded in 1821, George Washington University is the city's largest institution of higher learning in terms of enrollment, as it had 25,653 students as of the spring of 2013. George Washington left shares to endow a university in D.C. which became George Washington University According to the United States Department of Education Institute of
https://en.wikipedia.org/wiki/Axon%20guidance
Axon guidance (also called axon pathfinding) is a subfield of neural development concerning the process by which neurons send out axons to reach their correct targets. Axons often follow very precise paths in the nervous system, and how they manage to find their way so accurately is an area of ongoing research. Axon growth takes place from a region called the growth cone and reaching the axon target is accomplished with relatively few guidance molecules. Growth cone receptors respond to the guidance cues. Mechanisms Growing axons have a highly motile structure at the growing tip called the growth cone, which responds to signals in the extracellular environment that instruct the axon in which direction to grow. These signals, called guidance cues, can be fixed in place or diffusible; they can attract or repel axons. Growth cones contain receptors that recognize these guidance cues and interpret the signal into a chemotropic response. The general theoretical framework is that when a growth cone "senses" a guidance cue, the receptors activate various signaling molecules in the growth cone that eventually affect the cytoskeleton. If the growth cone senses a gradient of guidance cue, the intracellular signaling in the growth cone happens asymmetrically, so that cytoskeletal changes happen asymmetrically and the growth cone turns toward or away from the guidance cue. A combination of genetic and biochemical methods (see below) has led to the discovery of several important cla
https://en.wikipedia.org/wiki/RTMI
RTMI (Radio Telefono Mobile Integrato) was the first mobile communication service in Italy, started in 1973. It operated on the 160 MHz frequency band and was used by a few people working in the public sector (public administrations and defense officials). In the 1980s, the Radio Telephone Mobile (RTM) emerged, which operated on the 450 MHz frequency band and attracted 100,000 customers. The cellular standard RTMS was launched in 1985. In 1989 the SIP (Società Italiana per l'Esercizio delle Telecomunicazioni) adopted the TACS standard. RTMS services were switched off in 1996. References Mobile technology
https://en.wikipedia.org/wiki/1997%20NBA%20draft
The 1997 NBA draft took place on June 25, 1997, at Charlotte Coliseum in Charlotte, North Carolina. The Vancouver Grizzlies had the highest probability to win the NBA draft lottery, but since they were an expansion team along with the Toronto Raptors they were not allowed to select first in this draft. Although the Boston Celtics had the second-worst record in the 1996–97 season and the best odds (36 percent) of winning the lottery with two picks, the Spurs lost David Robinson and Sean Elliott to injury early in the season, finished with the third-worst record, and subsequently won the lottery. Leading up to the draft, there was no doubt that Tim Duncan would be selected at No. 1 by the Spurs as he was considered to be far and away the best prospect. After Duncan, the rest of the draft was regarded with some skepticism. The Celtics had the third and sixth picks, selecting Chauncey Billups and Ron Mercer, both of whom were traded in the next two years. The Washington Wizards forfeited their 1997 first-round pick in connection with the signing of Juwan Howard. (Washington would have had the 17th pick.) Thus, the draft only had 28 first-round selections and 57 selections overall. Draft selections Notable undrafted players These players eligible for the 1997 NBA Draft were not selected but played in the NBA. Early entrants College underclassmen The following college basketball players successfully applied for early draft entrance. Gracen Averil – G, Texas Tech (junior
https://en.wikipedia.org/wiki/GnucDNA
GnucDNA was a software library for building peer-to-peer applications. It provides developers with a common layer to create their own Gnutella or Gnutella2 client or network. As a separate component, GnucDNA can be updated independently of the client, passing down improvements to the applications already using it. General GnucDNA is a widespread and established library which can be extended by programmers. It includes the capability of forming a decentralized network between peers with integrated Ultrapeer support, allowing the network to avoid bottlenecks of low bandwidth nodes. However, the Ultrapeer - respectively Hub on G2 - support is outdated compared to modern implementations by clients like gtk-gnutella and Shareaza. The library gives programs which link to it the ability to share files with built-in support for uploading, downloading, file queuing and partial file sharing (the ability to upload verified chunks of a file while it is downloading), hash those files, extract meta-data to be shared through the network, and the ability to perform advanced searching by specific hash and meta-data parameters. GnucDNA also offers applications the ability to update their software easily through the same P2P network that they create. The GnucDNA component is COM based to inherit the advantage of language independence and versatility. Applications in C++, Visual Basic, .Net, and even scripts can utilize GnucDNA. Also by being a separate component, it can be used in a number
https://en.wikipedia.org/wiki/Harmotome
Harmotome is a mineral, one of the rarer zeolites; a hydrated barium silicate with formula: (Ba0.5,Ca0.5,Na,K)5Al5,Si11O32·12(H2O). It forms vitreous white well defined monoclinic crystals, often associated with calcite and other zeolites. It has a Mohs hardness of 4 to 5 and a specific gravity of 2.44 to 2.5. Name and discovery Named from the Greek words (a joint) and (to cut) by René Just Haüy in 1801 because the pyramid divides parallel to the plane that passes through the terminal edges. It was first described in 1801 from an occurrence in the Harz Mountains, Lower Saxony, Germany. Location Like other zeolites, harmotome occurs with calcite in the amygdaloidal cavities of volcanic rocks, for example, in the dolerites of Dumbartonshire, and as fine crystals in the agate-lined cavities in the melaphyre of Oberstein in Germany. It also occurs in gneiss, and sometimes in metalliferous veins. At Sankt Andreasberg in the Harz it is found in the lead and silver veins; and at Strontian in Argyll in lead veins, associated with brewsterite (a strontium and barium zeolite), barytes and calcite. References Mindat w/ locations Webmineral Dictionary.com Barium minerals Calcium minerals Sodium minerals Potassium minerals Aluminium minerals Zeolites Monoclinic minerals Minerals in space group 11
https://en.wikipedia.org/wiki/Stem-loop
Stem-loop intramolecular base pairing is a pattern that can occur in single-stranded RNA. The structure is also known as a hairpin or hairpin loop. It occurs when two regions of the same strand, usually complementary in nucleotide sequence when read in opposite directions, base-pair to form a double helix that ends in an unpaired loop. The resulting structure is a key building block of many RNA secondary structures. As an important secondary structure of RNA, it can direct RNA folding, protect structural stability for messenger RNA (mRNA), provide recognition sites for RNA binding proteins, and serve as a substrate for enzymatic reactions. Formation and stability The formation of a stem-loop structure is dependent on the stability of the resulting helix and loop regions. The first prerequisite is the presence of a sequence that can fold back on itself to form a paired double helix. The stability of this helix is determined by its length, the number of mismatches or bulges it contains (a small number are tolerable, especially in a long helix) and the base composition of the paired region. Pairings between guanine and cytosine have three hydrogen bonds and are more stable compared to adenine-uracil pairings, which have only two. In RNA, adenine-uracil pairings featuring two hydrogen bonds are equal to the adenine-thymine bond of the DNA. Base stacking interactions, which align the pi bonds of the bases' aromatic rings in a favorable orientation, also promote helix formation.
https://en.wikipedia.org/wiki/Sticking%20probability
The sticking probability is the probability that molecules are trapped on surfaces and adsorb chemically. From Langmuir's adsorption isotherm, molecules cannot adsorb on surfaces when the adsorption sites are already occupied by other molecules, so the sticking probability can be expressed as follows: where is the initial sticking probability and is the surface coverage fraction ranging from 0 to 1. Similarly, when molecules adsorb on surfaces dissociatively, the sticking probability is The square is owing to the fact that a disassociation of 1 molecule into 2 parts requires 2 adsorption sites. These equations are simple and can be easily understood but cannot explain experimental results. In 1958, P. Kisliuk presented an equation for the sticking probability that can explain experimental results. In his theory, molecules are trapped in precursor states of physisorption before chemisorption. Then the molecules meet adsorption sites that molecules can adsorb to chemically, so the molecules behave as follows. If these sites are not occupied, molecules do the following (with probability in parentheses): adsorb on the surface chemically () desorb from the surface () move to the next precursor state () and if these sites are occupied, they desorb from the surface () move to the next precursor state () Note that an occupied site is defined as one where there is a chemically bonded adsorbate so by definition it would be . Then the sticking probability is, accordin
https://en.wikipedia.org/wiki/Lesley%20Dunlop
Lesley Jane Dunlop (born 10 March 1956) is an English actress. She is known for her roles as Norna in the Doctor Who serial "Frontios", Anna Kirkwall in Where the Heart Is and Zoë Angell in May to December. Her current role is Brenda Walker in the ITV Yorkshire-based soap opera Emmerdale. Career Daughter of television writer Pat Dunlop, she began as a child actress in the 1970s featuring in a BBC version of the classic A Little Princess and as Lydia Holly in the ITV adaptation of South Riding. She studied at the Arts Educational Schools Her transition to adult roles began by playing Lizzie Hexam in a BBC version of Charles Dickens' Our Mutual Friend in 1976 and featuring in the very first series of the long-running hospital drama Angels. Dunlop was cast alongside Diana Rigg and Elizabeth Taylor in the film version of Stephen Sondheim's A Little Night Music (1977), and appeared in Roman Polanski's Tess (1979). The following year she played Nora, the nurse who is at first terrified by The Elephant Man and then befriends John Hurt's character in David Lynch's 1980 Oscar nominated film. She also appeared in the horror anthology film The Monster Club (1981) as Luna, the human ghoul who befriends Stuart Whitman. Throughout this time and indeed throughout her career, she has regularly appeared on British TV including Murder Most English (1977), Red Shift (1977) and Deadly Game (1982), as well as two guest appearances in Doctor Who, playing roles in "Frontios" in 1984 and "The Happ
https://en.wikipedia.org/wiki/IDEA%20NXT
In cryptography, the IDEA NXT algorithm (previously known as FOX) is a block cipher designed by Pascal Junod and Serge Vaudenay of EPFL (Lausanne, Switzerland). It was conceived between 2001 and 2003. The project was originally named FOX and was published in 2003. In May 2005, it was announced by MediaCrypt under the name IDEA NXT. IDEA NXT is the successor to the International Data Encryption Algorithm (IDEA) and also uses the Lai–Massey scheme. MediaCrypt AG holds patents on elements of IDEA and IDEA NXT. The cipher is specified in two configurations: NXT64 (with block of 64 bits, key of 128 bits, 16 rounds) and NXT128 (with block of 128 bits, key of 256 bits, 16 rounds). References External links FOX Specifications Version 1.2 256bit Ciphers - IDEANXT Reference implementation and derived code Mediacrypt homepage — IDEA licensor FOX: a new family of block ciphers FOX algorithm implementation - a hardware design approach BSD licensed C Software implementation of IDEA NXT U.S. Patent Application Pub. No. 2004/0247117 U.S. Patent Application Pub. No. 2005/0053233 Block ciphers
https://en.wikipedia.org/wiki/Shamus
Shamus may refer to: Shamus (video game), a 1982 computer game from Synapse Software Shamus (film), a 1973 film starring Burt Reynolds Shamus Wong, a character from the children's book Tracey McBean Colloquial term for a private detective People Shamus Culhane (1908–1996), American animator, film director and producer Shamus Khan (born 1978), American sociologist Shamus O'Brien (1907–1981), Scottish-American soccer player Gareb Shamus, CEO of Wizard Entertainment See also Shamu, SeaWorld's first killer whale (died 1971) Shamu (SeaWorld show), SeaWorld's contemporary killer whale shows Seamus (disambiguation) Sheamus (born 1978), Irish professional wrestler Shammes or Gabbai, a term for the sexton or caretaker of a synagogue
https://en.wikipedia.org/wiki/Caesium%20chloride
Caesium chloride or cesium chloride is the inorganic compound with the formula CsCl. This colorless salt is an important source of caesium ions in a variety of niche applications. Its crystal structure forms a major structural type where each caesium ion is coordinated by 8 chloride ions. Caesium chloride dissolves in water. CsCl changes to NaCl structure on heating. Caesium chloride occurs naturally as impurities in carnallite (up to 0.002%), sylvite and kainite. Less than 20 tonnes of CsCl is produced annually worldwide, mostly from a caesium-bearing mineral pollucite. Caesium chloride is widely used medicine structure in isopycnic centrifugation for separating various types of DNA. It is a reagent in analytical chemistry, where it is used to identify ions by the color and morphology of the precipitate. When enriched in radioisotopes, such as 137CsCl or 131CsCl, caesium chloride is used in nuclear medicine applications such as treatment of cancer and diagnosis of myocardial infarction. Another form of cancer treatment was studied using conventional non-radioactive CsCl. Whereas conventional caesium chloride has a rather low toxicity to humans and animals, the radioactive form easily contaminates the environment due to the high solubility of CsCl in water. Spread of 137CsCl powder from a 93-gram container in 1987 in Goiânia, Brazil, resulted in one of the worst-ever radiation spill accidents killing four and directly affecting 249 people. Crystal structure The caesium chl
https://en.wikipedia.org/wiki/Routh%E2%80%93Hurwitz%20theorem
In mathematics, the Routh–Hurwitz theorem gives a test to determine whether all roots of a given polynomial lie in the left half-plane. Polynomials with this property are called Hurwitz stable polynomials. The Routh–Hurwitz theorem is important in dynamical systems and control theory, because the characteristic polynomial of the differential equations of a stable linear system has roots limited to the left half plane (negative eigenvalues). Thus the theorem provides a mathematical test, the Routh-Hurwitz stability criterion, to determine whether a linear dynamical system is stable without solving the system. The Routh–Hurwitz theorem was proved in 1895, and it was named after Edward John Routh and Adolf Hurwitz. Notations Let f(z) be a polynomial (with complex coefficients) of degree n with no roots on the imaginary axis (i.e. the line Z = ic where i is the imaginary unit and c is a real number). Let us define (a polynomial of degree n) and (a nonzero polynomial of degree strictly less than n) by , respectively the real and imaginary parts of f on the imaginary line. Furthermore, let us denote by: p the number of roots of f in the left half-plane (taking into account multiplicities); q the number of roots of f in the right half-plane (taking into account multiplicities); the variation of the argument of f(iy) when y runs from −∞ to +∞; w(x) is the number of variations of the generalized Sturm chain obtained from and by applying the Euclidean algorithm; is th
https://en.wikipedia.org/wiki/Alan%20Heusaff
Alan Heusaff, also Alan Heussaff (23 July 1921 in Saint-Yvi, Finistère – 3 November 1999 in Galway) was a Breton nationalist, linguist, dictionary compiler, prolific journalist and lifetime campaigner for solidarity between the Celtic peoples. A co-founder of the Celtic League in 1961, he was its first general secretary until 1984. A native Breton speaker, he trained as a primary school teacher but in his early twenties joined the separatist Bezen Perrot militia (1943–44), for which he was sentenced to death in absentia at a court martial by the post-World War II French government, but eventually amnestied in 1967. After studying mathematics and physics at the University of Marburg, Germany, he arrived in Ireland in 1950. He continued his studies at University College, Galway, and, on graduation, joined the Irish Meteorological Service, becoming a naturalised Irish citizen in 1955. An aviation meteorologist, he devoted his spare time and retirement to peaceful activism, promoting the languages, culture and autonomy of the Celtic countries. Among the honours he received for his work was the 1986 Gradam an Phiarsaigh (annual Pearse award) presented by the President of Ireland, Patrick Hillery. In the same year, at the Welsh Eisteddfod, he was elected as a Bard of the Welsh Gorsedd. He was fluent in all the six modern Celtic languages as well as English, French and German. Death Heusaff died on 3 November 1999, at his home near An Spidéal in Connemara, Galway. He married Bríd
https://en.wikipedia.org/wiki/Pirner
Pirner is a German language habitational surname for someone from Pirna in Saxony or Birnau in Württemberg. Notable people with the name include: Dave Pirner (1964), American songwriter, singer, and producer Gitti Pirner (1943), German classical pianist Juergen Pirner (1956), German computer scientist Maximilian Pirner (1853–1924), Czech painter German-language surnames German toponymic surnames
https://en.wikipedia.org/wiki/James%20P.%20Carrell
James P. Carrell (February 13, 1787 – October 28, 1854), of Lebanon, Virginia, was a minister, singing teacher, composer and songbook compiler. He compiled two songbooks in the four-shape shape note tradition. Musical compilations Carrell's Songs of Zion was a small book of 64 pages, printed by Ananias Davisson in Harrisonburg, Virginia in 1821 and containing mostly music by Carrell himself. In 1831, Carrell released Virginia Harmony with David L. Clayton (1801-1854). This book was printed in Winchester, Virginia by Samuel H. Davis, containing 191 tunes on 167 pages. A second edition of Virginia Harmony was printed in 1836 with 33 additional pages of music. Seventeen songs in this edition are attributed to Carrell. One of the songs in Virginia Harmony was the Isaac Watts hymn "There Is a Land of Pure Delight", set to the anonymous tune "Harmony Grove". "Harmony Grove" is now the tune most associated with the John Newton hymn "Amazing Grace", and for many years Carrell and Clayton were credited as the composers. Personal life Carrell was born February 13, 1787, in Washington County, Virginia. He married Martha George Peery. They had two children, Charles and George. Carrell was a minister of the Methodist Church. In addition to his ministerial and musical activities, Carrell served as county court clerk of Russell County, Virginia. He died October 28, 1854, and is buried in the Old Lebanon Cemetery (aka North Church Street Cemetery). References Further reading External
https://en.wikipedia.org/wiki/Brefeldin%20A
Brefeldin A is a lactone antiviral produced by the fungus Penicillium brefeldianum. Brefeldin A inhibits protein transport from the endoplasmic reticulum to the golgi complex indirectly by preventing association of COP-I coat to the Golgi membrane. Brefeldin A was initially isolated with hopes to become an antiviral drug but is now primarily used in research to study protein transport. History The compound gets its name from a species of anamorph fungus of the Penicillium genus known as Eupenicillium brefeldianum, though it is found in a variety of species that span several genera. It was first isolated from Penicillium decumbens in 1958 by V.L. Singleton who initially called it Decumbin. It was later identified as a metabolite by H.P. Siggs who then went on to identify the chemical structure of the compound in 1971. Since then several successful total synthesis methods have been described. Interest in researching brefeldin A was initially lacking due to poor antiviral activity. However, upon discovery of its mechanism involving disruption of protein transport by Takatsuki and Tamura in 1985 and the cytotoxic effects observed in certain cancer cell lines, research efforts were revitalized. It is currently used solely in research mainly as an assay tool for studying membrane traffic and vesicle transport dynamics between the endoplasmic reticulum and Golgi apparatus. Physical properties and storage information Brefeldin A is found naturally as a white to off-white cry
https://en.wikipedia.org/wiki/Modular%20Audio%20Recognition%20Framework
Modular Audio Recognition Framework (MARF) is an open-source research platform and a collection of voice, sound, speech, text and natural language processing (NLP) algorithms written in Java and arranged into a modular and extensible framework that attempts to facilitate addition of new algorithms. MARF may act as a library in applications or be used as a source for learning and extension. A few example applications are provided to show how to use the framework. There is also a detailed manual and the API reference in the javadoc format as the project tends to be well documented. MARF, its applications, and the corresponding source code and documentation are released under the BSD-style license. References Footnotes Speech recognition software Natural language processing software Java (programming language) libraries Free audio software Software using the BSD license
https://en.wikipedia.org/wiki/RASD
RASD may refer to: RasD, a protein Sahrawi Arab Democratic Republic (), a partially recognized state of Western Sahara Rural Agency for Sustainable Development, an NGO located in the Mukono District of Uganda Ridgway Area School District A rural school district in Northwestern Pennsylvania along the Allegany National Forest and the Clarion River.
https://en.wikipedia.org/wiki/Soot%20%28software%29
In static program analysis, Soot is a bytecode manipulation and optimization framework consisting of intermediate languages for Java. It has been developed by the Sable Research Group at McGill University. Soot provides four intermediate representations for use through its API for other analysis programs to access and build upon: Baf: a near bytecode representation. Jimple: a simplified version of Java source code that has a maximum of three components per statement. Shimple: an SSA variation of Jimple (similar to GIMPLE). Grimp: an aggregated version of Jimple suitable for decompilation and code inspection. The current Soot software release also contains detailed program analyses that can be used out-of-the-box, such as context-sensitive flow-insensitive points-to analysis, call graph analysis and domination analysis (answering the question "must event a follow event b?"). It also has a decompiler called dava. Soot is free software available under the GNU Lesser General Public License (LGPL). In 2010, two research papers on Soot ( and ) were selected as IBM CASCON First Decade High Impact Papers among 12 other papers from the 425 entries. Jimple Jimple is an intermediate representation of a Java program designed to be easier to optimize than Java bytecode. It is typed, has a concrete syntax and is based on three-address code. Jimple includes only 15 different operations, thus simplifying flow analysis. By contrast, java bytecode includes over 200 different operatio
https://en.wikipedia.org/wiki/Heun%20function
In mathematics, the local Heun function is the solution of Heun's differential equation that is holomorphic and 1 at the singular point z = 0. The local Heun function is called a Heun function, denoted Hf, if it is also regular at z = 1, and is called a Heun polynomial, denoted Hp, if it is regular at all three finite singular points z = 0, 1, a. Heun's equation Heun's equation is a second-order linear ordinary differential equation (ODE) of the form The condition is taken so that the characteristic exponents for the regular singularity at infinity are α and β (see below). The complex number q is called the accessory parameter. Heun's equation has four regular singular points: 0, 1, a and ∞ with exponents (0, 1 − γ), (0, 1 − δ), (0, 1 − ϵ), and (α, β). Every second-order linear ODE on the extended complex plane with at most four regular singular points, such as the Lamé equation or the hypergeometric differential equation, can be transformed into this equation by a change of variable. Coalescence of various regular singularities of the Heun equation into irregular singularities give rise to several confluent forms of the equation, as shown in the table below. {| class="wikitable" |+Forms of the Heun Equation |- ! Form !! Singularities !! Equation |- | General | 0, 1, a, ∞ | |- | Confluent | 0, 1, ∞ (irregular, rank 1) | |- | Doubly Confluent | 0 (irregular, rank 1), ∞ (irregular, rank 1) | |- | Biconfluent | 0, ∞ (irregular, rank 2) | |- | Triconfluent | ∞ (i
https://en.wikipedia.org/wiki/Luis%20Caffarelli
Luis Ángel Caffarelli (; born December 8, 1948) is an Argentine–American mathematician. He studies partial differential equations and their applications. Career Caffarelli was born and grew up in Buenos Aires. He obtained his Masters of Science (1968) and Ph.D. (1972) at the University of Buenos Aires. His Ph.D. advisor was Calixto Calderón. He currently holds the Sid Richardson Chair at the University of Texas at Austin. He also has been a professor at the University of Minnesota, the University of Chicago, and the Courant Institute of Mathematical Sciences at New York University. From 1986 to 1996 he was a professor at the Institute for Advanced Study in Princeton. Research Caffarelli received recognition with "The regularity of free boundaries in higher dimensions" published in 1977 in Acta Mathematica. He is considered an expert in free boundary problems and nonlinear partial differential equations. He proved several regularity results for fully nonlinear elliptic equations including the Monge-Ampere equation, and also contributed to homogenization. He is also interested in integro-differential equations. One of his most cited results regards the Partial regularity of suitable weak solutions of the Navier–Stokes equations; it was obtained in 1982 in collaboration with Louis Nirenberg and Robert V. Kohn. Awards and recognition In 1991 he was elected to the U.S. National Academy of Sciences. He was awarded honorary doctorates by the École Normale Supérieure, Paris, the
https://en.wikipedia.org/wiki/Rabinovich%E2%80%93Fabrikant%20equations
The Rabinovich–Fabrikant equations are a set of three coupled ordinary differential equations exhibiting chaotic behaviour for certain values of the parameters. They are named after Mikhail Rabinovich and Anatoly Fabrikant, who described them in 1979. System description The equations are: where α, γ are constants that control the evolution of the system. For some values of α and γ, the system is chaotic, but for others it tends to a stable periodic orbit. Danca and Chen note that the Rabinovich–Fabrikant system is difficult to analyse (due to the presence of quadratic and cubic terms) and that different attractors can be obtained for the same parameters by using different step sizes in the integration, see on the right an example of a solution obtained by two different solvers for the same parameter values and initial conditions. Also, recently, a hidden attractor was discovered in the Rabinovich–Fabrikant system. Equilibrium points The Rabinovich–Fabrikant system has five hyperbolic equilibrium points, one at the origin and four dependent on the system parameters α and γ: where These equilibrium points only exist for certain values of α and γ > 0. γ = 0.87, α = 1.1 An example of chaotic behaviour is obtained for γ = 0.87 and α = 1.1 with initial conditions of (−1, 0, 0.5), see trajectory on the right. The correlation dimension was found to be 2.19 ± 0.01. The Lyapunov exponents, λ are approximately 0.1981, 0, −0.6581 and the Kaplan–Yorke dimension, D
https://en.wikipedia.org/wiki/Verna%20Felton
Verna Arline Felton (July 20, 1890December 14, 1966) was an American actress who provided voices for numerous Disney animated films. She also provided the voice for Fred Flintstone's mother-in-law, Pearl Slaghoople in Hanna-Barbera's The Flintstones (1962–1963) and had roles in live-action films. However, she was most active in radio programs, where her characters were known for their husky voices and no-nonsense attitudes. Two of her most famous roles were as Dennis Day's mother, Mrs. Day on both radio and television versions of The Jack Benny Program (1939–1962) and as Hilda Crocker on December Bride (1952–1959). Felton's television appearances included The George Burns and Gracie Allen Show, I Love Lucy, Where's Raymond?, Pete and Gladys and Dennis the Menace. Early years Verna Arline Felton was born in Salinas, California, on July 20, 1890. Her father, Horace Wilcox Felton, a doctor, died shortly before her ninth birthday. When going over his accounts after his death, Felton's mother Clara Winder Felton (née Lawrence) discovered that although her husband had a large medical practice in San Jose, there were no records of his patients' payments for treatment and no cash in the office. Shortly before her father's death, Felton had performed in a local benefit for victims of the Galveston Flood. Her singing and dancing attracted the attention of a manager of a road show company that was playing in San Jose at the time. The manager spoke to Felton's mother, offering t
https://en.wikipedia.org/wiki/Picard%E2%80%93Fuchs%20equation
In mathematics, the Picard–Fuchs equation, named after Émile Picard and Lazarus Fuchs, is a linear ordinary differential equation whose solutions describe the periods of elliptic curves. Definition Let be the j-invariant with and the modular invariants of the elliptic curve in Weierstrass form: Note that the j-invariant is an isomorphism from the Riemann surface to the Riemann sphere ; where is the upper half-plane and is the modular group. The Picard–Fuchs equation is then Written in Q-form, one has Solutions This equation can be cast into the form of the hypergeometric differential equation. It has two linearly independent solutions, called the periods of elliptic functions. The ratio of the two periods is equal to the period ratio τ, the standard coordinate on the upper-half plane. However, the ratio of two solutions of the hypergeometric equation is also known as a Schwarz triangle map. The Picard–Fuchs equation can be cast into the form of Riemann's differential equation, and thus solutions can be directly read off in terms of Riemann P-functions. One has At least four methods to find the j-function inverse can be given. Dedekind defines the j-function by its Schwarz derivative in his letter to Borchardt. As a partial fraction, it reveals the geometry of the fundamental domain: where (Sƒ)(x) is the Schwarzian derivative of ƒ with respect to x. Generalization In algebraic geometry, this equation has been shown to be a very special case of a general ph
https://en.wikipedia.org/wiki/Riemann%27s%20differential%20equation
In mathematics, Riemann's differential equation, named after Bernhard Riemann, is a generalization of the hypergeometric differential equation, allowing the regular singular points to occur anywhere on the Riemann sphere, rather than merely at 0, 1, and . The equation is also known as the Papperitz equation. The hypergeometric differential equation is a second-order linear differential equation which has three regular singular points, 0, 1 and . That equation admits two linearly independent solutions; near a singularity , the solutions take the form , where is a local variable, and is locally holomorphic with . The real number is called the exponent of the solution at . Let α, β and γ be the exponents of one solution at 0, 1 and respectively; and let α', β' and γ' be those of the other. Then By applying suitable changes of variable, it is possible to transform the hypergeometric equation: Applying Möbius transformations will adjust the positions of the regular singular points, while other transformations (see below) can change the exponents at the regular singular points, subject to the exponents adding up to 1. Definition The differential equation is given by The regular singular points are , , and . The exponents of the solutions at these regular singular points are, respectively, , , and . As before, the exponents are subject to the condition Solutions and relationship with the hypergeometric function The solutions are denoted by the Riemann P-sym
https://en.wikipedia.org/wiki/Ionic%20radius
Ionic radius, rion, is the radius of a monatomic ion in an ionic crystal structure. Although neither atoms nor ions have sharp boundaries, they are treated as if they were hard spheres with radii such that the sum of ionic radii of the cation and anion gives the distance between the ions in a crystal lattice. Ionic radii are typically given in units of either picometers (pm) or angstroms (Å), with 1 Å = 100 pm. Typical values range from 31 pm (0.3 Å) to over 200 pm (2 Å). The concept can be extended to solvated ions in liquid solutions taking into consideration the solvation shell. Trends Ions may be larger or smaller than the neutral atom, depending on the ion's electric charge. When an atom loses an electron to form a cation, the other electrons are more attracted to the nucleus, and the radius of the ion gets smaller. Similarly, when an electron is added to an atom, forming an anion, the added electron increases the size of the electron cloud by interelectronic repulsion. The ionic radius is not a fixed property of a given ion, but varies with coordination number, spin state and other parameters. Nevertheless, ionic radius values are sufficiently transferable to allow periodic trends to be recognized. As with other types of atomic radius, ionic radii increase on descending a group. Ionic size (for the same ion) also increases with increasing coordination number, and an ion in a high-spin state will be larger than the same ion in a low-spin state. In general, ionic
https://en.wikipedia.org/wiki/Hauerite
Hauerite is a manganese sulfide mineral with the chemical formula MnS2. It forms reddish brown or black octahedral crystals with the pyrite structure and it is usually found associated with the sulfides of other transition metals such as rambergite. It occurs in low temperature, sulfur rich environments associated with solfataras and salt deposits in association with native sulfur, realgar, gypsum and calcite. It was discovered in Austro-Hungarian Monarchy in Kalinka (now Vígľašská Huta-Kalinka village) sulfur deposit near Detva in what is now Slovakia in 1846 and named after the Austrian geologists, Joseph Ritter von Hauer (1778–1863) and Franz Ritter von Hauer (1822–1899). It is found in Texas, USA; the Ural Mountains of Russia, and Sicily, Italy. Under high pressure conditions (P>11 GPa), Hauerite undergoes a large collapse in unit cell volume (22 %) driven by a spin-state transition. References Manganese minerals Pyrite group Cubic minerals Minerals in space group 205 Minerals described in 1846
https://en.wikipedia.org/wiki/Curvature%20collineation
A curvature collineation (often abbreviated to CC) is vector field which preserves the Riemann tensor in the sense that, where are the components of the Riemann tensor. The set of all smooth curvature collineations forms a Lie algebra under the Lie bracket operation (if the smoothness condition is dropped, the set of all curvature collineations need not form a Lie algebra). The Lie algebra is denoted by and may be infinite-dimensional. Every affine vector field is a curvature collineation. See also Conformal vector field Homothetic vector field Killing vector field Matter collineation Spacetime symmetries Mathematical methods in general relativity
https://en.wikipedia.org/wiki/QDA
QDA may refer to: Qualitative Data Analysis as used in qualitative research Quadratic discriminant analysis as used in statistical classification or as a quadratic classifier in machine learning The .QDA filename extension, used for Quadruple D archives
https://en.wikipedia.org/wiki/Mitotoxin
A mitotoxin is a cytotoxic molecule targeted to specific cells by a mitogen. Generally found in snake venom. Mitotoxins are responsible for mediating cell death by interfering with protein or DNA synthesis. Some mechanisms by which mitotoxins can interfere with DNA or protein synthesis include the inactivation of ribosomes or the inhibition of complexes in the mitochondrial electron transport chain. These toxins have a very high affinity and level of specificity for the receptors that they bind to. Mitotoxins bind to receptors on cell surfaces and are then internalized into cells via receptor-mediated endocytosis. Once in the endosome, the receptor releases its ligand and a mitotoxin can mediate cell death. There are different classes of mitotoxins, each acting on a different type of cell or system. The mitotoxin classes that have been identified thus far include: interleukin-based, transferrin based, epidermal growth factor-based, nerve growth factor-based, insulin-like growth factor-I-based, and fibroblast growth factor-based mitotoxins. Because of the high affinity and specificity of mitotoxin binding, they present the possibility of creating precise therapeutic agents. A major one of these possibilities is the potential usage of growth factor-based mitotoxins as anti-neoplastic agents that can modulate the growth of melanomas. References Molecular biology
https://en.wikipedia.org/wiki/Beta%20oxidation
In biochemistry and metabolism, beta oxidation (also β-oxidation) is the catabolic process by which fatty acid molecules are broken down in the cytosol in prokaryotes and in the mitochondria in eukaryotes to generate acetyl-CoA, which enters the citric acid cycle, and NADH and FADH2, which are co-enzymes used in the electron transport chain. It is named as such because the beta carbon of the fatty acid undergoes oxidation to a carbonyl group. Beta-oxidation is primarily facilitated by the mitochondrial trifunctional protein, an enzyme complex associated with the inner mitochondrial membrane, although very long chain fatty acids are oxidized in peroxisomes. The overall reaction for one cycle of beta oxidation is: Cn-acyl-CoA + FAD + + + CoA → Cn-2-acyl-CoA + + NADH + + acetyl-CoA Activation and membrane transport Free fatty acids cannot penetrate any biological membrane due to their negative charge. Free fatty acids must cross the cell membrane through specific transport proteins, such as the SLC27 family fatty acid transport protein. Once in the cytosol, the following processes bring fatty acids into the mitochondrial matrix so that beta-oxidation can take place. Long-chain-fatty-acid—CoA ligase catalyzes the reaction between a fatty acid with ATP to give a fatty acyl adenylate, plus inorganic pyrophosphate, which then reacts with free coenzyme A to give a fatty acyl-CoA ester and AMP. If the fatty acyl-CoA has a long chain, then the carnitine shuttle must be utiliz
https://en.wikipedia.org/wiki/Staphylococcal%20scalded%20skin%20syndrome
Staphylococcal scalded skin syndrome (SSSS) is a dermatological condition caused by Staphylococcus aureus. Signs and symptoms The disease presents with the widespread formation of fluid-filled blisters that are thin walled and easily ruptured, and the patient can be positive for Nikolsky's sign. Ritter's disease of the newborn is the most severe form of SSSS, with similar signs and symptoms. SSSS often includes a widespread painful erythroderma, often involving the face, diaper, and other intertriginous areas. Extensive areas of desquamation might be present. Perioral crusting and fissuring are seen early in the course. Unlike toxic epidermal necrolysis, SSSS spares the mucous membranes. Children with SSSS may exhibit fussiness or irritability, tiredness, fever, redness of the skin, easily broken fluid-filled blisters that leave an area of moist, tender, painful skin, and large sheets of the top layer of skin that easily peel away. The condition is most common in children under 6 years, but can be seen in adults who are immunosuppressed or have kidney failure. Pathophysiology The syndrome is induced by epidermolytic exotoxins (exfoliatin) A and B, which are released by S. aureus and cause detachment within the epidermal layer, by breaking down the desmosomes. One of the exotoxins is encoded on the bacterial chromosome, while the other is encoded on a plasmid. These exotoxins are proteases that cleave desmoglein-1, which normally holds the granulosum and spinosum layers
https://en.wikipedia.org/wiki/Homeotropic%20alignment
In liquid crystals, homeotropic alignment is one of the ways of alignment of liquid crystalline molecules. Homeotropic alignment is the state in which a rod-like liquid crystalline molecule aligns perpendicularly to the substrate. In the polydomain state, the parts also are called homeotropic domains. In contrast, the state in which the molecule aligns to a substance in parallel is called homogeneous alignment. There are various other ways of alignment in liquid crystals. Because homeotropic alignment is not anisotropic optically, a dark field is observed between crossed polarizers in polarizing optical microscopy. By conoscope observation, however, a cross image is observed in the homeotropic alignments. Homeotropic alignment often appears in the smectic A phase (SA). In discotic liquid crystals homeotropic alignment is defined as the state in which an axis of the column structure, which is formed by disc-like liquid crystalline molecules, aligns perpendicularly to a substance. In other words, this alignment looks like a state in which columns formed by piled-up coins are arranged in an orderly way on a table. In practice, the homeotropic alignment is usually achieved by surfactants and detergent for example lecithin, some esilanes or some special polyimide (PI 1211). Generally liquid crystals align homeotropically at an air or glass interface. References Crystallography Liquid crystals
https://en.wikipedia.org/wiki/Stationary%20spacetime
In general relativity, specifically in the Einstein field equations, a spacetime is said to be stationary if it admits a Killing vector that is asymptotically timelike. Description and analysis In a stationary spacetime, the metric tensor components, , may be chosen so that they are all independent of the time coordinate. The line element of a stationary spacetime has the form where is the time coordinate, are the three spatial coordinates and is the metric tensor of 3-dimensional space. In this coordinate system the Killing vector field has the components . is a positive scalar representing the norm of the Killing vector, i.e., , and is a 3-vector, called the twist vector, which vanishes when the Killing vector is hypersurface orthogonal. The latter arises as the spatial components of the twist 4-vector (see, for example, p. 163) which is orthogonal to the Killing vector , i.e., satisfies . The twist vector measures the extent to which the Killing vector fails to be orthogonal to a family of 3-surfaces. A non-zero twist indicates the presence of rotation in the spacetime geometry. The coordinate representation described above has an interesting geometrical interpretation. The time translation Killing vector generates a one-parameter group of motion in the spacetime . By identifying the spacetime points that lie on a particular trajectory (also called orbit) one gets a 3-dimensional space (the manifold of Killing trajectories) , the quotient space. Each point
https://en.wikipedia.org/wiki/List%20of%20United%20Kingdom%20Biodiversity%20Action%20Plan%20species
This is a list of United Kingdom Biodiversity Action Plan species. Some suffer because of loss of habitat, but many are in decline following the introduction of foreign species, which out-compete the native species or carry disease. See also the list of extinct animals of the British Isles. This list includes the 116 species identified as requiring action plans in the Biodiversity Steering Group's report of December 1995. Mammals Scottish wildcat (Felis silvestris grampia) Bottlenose dolphin (Tursiops truncatus), warm and temperate seas worldwide European (brown) hare (Lepus europaeus), northern, central, and western Europe and western Asia Hazel dormouse (Muscardinus avellanarius), northern Europe and Asia Minor European otter (Lutra lutra lutra), Asia, Africa and Europe Greater horseshoe bat (Rhinolophus ferrumequinium), Europe, Africa, South Asia and Australia Harbour porpoise (Phocoena phocoena), coastal waters in the Northern Hemisphere Red squirrel (Sciurus vulgaris leucourus), Eurasia (subspecies endemic to Great Britain) Water vole (Arvicola amphibius), Great Britain, northern and central Europe and in parts of Russia European (western) hedgehog (Erinaceus europaeus) Birds List of UK BAP priority bird species. Aquatic warbler (Acrocephalus paludicola), passage migrant through UK Capercaillie (Tetrao urogallus) Corn crake (Crex crex), globally threatened Eurasian wryneck (Jynx torquilla) Great bittern (Botarus stellaris) Grey partridge (Perdix perdix) Red-backed sh
https://en.wikipedia.org/wiki/Lorna%20Thayer
Lorna Thayer (born Lorna Patricia Casey; August 16, 1919 – June 4, 2005) was an American character actress. Biography Born in Boston, Massachusetts, Thayer was the daughter of silent screen actress Louise Gibney. She appeared often in theatre and on television. In 1955, she played in The Beast with a Million Eyes with Paul Birch. She played minor roles in The Lusty Men, Texas City and Frankie and Johnny. She is most likely to be remembered for her role in the iconic 1970 film Five Easy Pieces as the waitress who refuses to allow Jack Nicholson's character to order a side of wheat toast. The scene has come to be known as the "chicken salad sandwich scene". Thayer was cast in an historical role as Jessie Benton Frémont, loyal wife of John C. Frémont (Roy Engel), in the 1960 episode "The Gentle Sword" of the anthology series Death Valley Days. In the story, the Frémonts are in California during the gold rush. The couple becomes involved in a mining claim dispute; Mrs. Frémont stares down organized claim jumpers. On January 2, 1960, in season 3, episode 16 "The Prophet" of Have Gun - Will Travel, Thayer was cast as Serafina, wife of Colonel Benjamin Nunez (Shepperd Studrick). She also appeared as Doris in the November 21, 1959, episode titled "The Golden Toad", written by Gene Roddenberry. Also, Season 5, Episode 36 "Pandora's Box", as Hanna Personal life Thayer was married to actor George N. Neise, and they had two daughters. Death After battling Alzheimer's disease for f
https://en.wikipedia.org/wiki/Marcell%2C%20Minnesota
Marcell is an unincorporated community in Marcell Township, Itasca County, Minnesota, United States. Minnesota State Highways 38 and 286 are two of the main routes in the community. Marcell is located 28 miles north of Grand Rapids. The community is located within the Chippewa National Forest. Nearby places include Bigfork, Talmoon, Bowstring, Deer River, and Effie. Despite its unincorporated status, Marcell appears on most more detailed maps of Minnesota due to the presence of several locally important businesses and the lack of larger communities in the surrounding area. In addition, it has its own post office with the ZIP code 56657. History Marcell was founded under the name Turtle Lake in 1905. The name was changed to Marcell the following year due to a name conflict with other communities named Turtle Lake. The name Marcell is in honor of Andy Marcell, a conductor on the former Minneapolis and Rainy River Railway, who was involved in a railway accident in the area. The site of the town center was originally at a store operated by John Lundeen on Big Turtle Lake, but was moved in 1910 to its present location near the railway. References Rand McNally Road Atlas – 2007 edition – Minnesota entry Official State of Minnesota Highway Map – 2011/2012 edition Further reading Newstrom, Curt. Memories of a Small Town––Marcell, Minnesota Unincorporated communities in Itasca County, Minnesota Unincorporated communities in Minnesota Populated places established in 19
https://en.wikipedia.org/wiki/List%20of%20colleges%20and%20universities%20in%20Iowa
There are sixty colleges and universities in the U.S. state of Iowa that are listed under the Carnegie Classification of Institutions of Higher Education. These institutions include two research universities, nine master's universities, and nineteen baccalaureate colleges, as well as twenty-one associate's colleges. In addition, eleven special-focus institutions and three baccalaureate/associate's colleges operate in the state. The Iowa Board of Regents, a governing board, oversees the state's three public universities – the University of Iowa, Iowa State University, and the University of Northern Iowa. With 5,713 students, Upper Iowa University is the state's largest private not-for-profit school. The state's oldest post-secondary institution is Loras College, a private Catholic school in Dubuque that was founded in 1839, seven years before Iowa became a state. The state's only two law schools, the University of Iowa College of Law and Drake University Law School, are both accredited by the American Bar Association. Roy J. and Lucille A. Carver College of Medicine and Des Moines University are the state's two medical schools. The majority of Iowa's post-secondary institutions are accredited by the Higher Learning Commission (HLC). Most are accredited by multiple agencies, such as the Commission on Collegiate Nursing Education (CCNE), the National Association of Schools of Music (NASM), and the National League for Nursing (NLNAC). Extant institutions Defunct institutions
https://en.wikipedia.org/wiki/List%20of%20colleges%20and%20universities%20in%20Michigan
There are ninety three colleges and universities in the U.S. state of Michigan that are listed under the Carnegie Classification of Institutions of Higher Education. These institutions include eight research universities, five doctoral/professional universities, fourteen master's universities, and fourteen baccalaureate colleges, as well as thirty-one associates colleges. In addition, there are eighteen institutions classified as special-focus institutions, eleven labeled as baccalaureate/associate's colleges, and two tribal colleges which operate in the state. The University of Michigan is the oldest higher-educational institution in the state, and among the earliest research universities in the nation; it was founded in 1817, twenty years before the Michigan Territory achieved statehood. East Lansing-based Michigan State University is the state's largest public institution in terms of enrollment, as it had 50,340 students . With an enrollment of 21,210 students, Baker College of Flint is Michigan's largest private post-secondary institution, while Oak Park-based Yeshiva Gedolah of Greater Detroit is the state's smallest. The state has seven medical schools, as well as five law schools which are accredited by the American Bar Association. The majority of Michigan's post-secondary institutions are accredited by the Higher Learning Commission (HLC). Most are accredited by multiple agencies, such as the Commission on Collegiate Nursing Education (CCNE), the National Associat
https://en.wikipedia.org/wiki/List%20of%20colleges%20and%20universities%20in%20North%20Dakota
There are twenty-one colleges and universities in the U.S. state of North Dakota that are listed under the Carnegie Classification of Institutions of Higher Education. Grand Forks-based University of North Dakota (UND) is the largest public institution with an enrollment of 14,906 students as of Fall 2014 enrollment data. Fargo-based North Dakota State University (NDSU) is the second largest public institution, with an enrollment of 14,747 students for Fall 2014. UND, founded February 27, 1883 (six years prior to North Dakota's statehood), is the state's oldest and longest operating post-secondary institution. University of Jamestown (UJ), founded under the name Jamestown College October 31, 1883, by the Presbyterian Church, is the state's second-oldest established post-secondary institution. Mayville State University (MSU), originally named Mayville Normal School, founded in 1889 by the first North Dakota Legislative Assembly, is the state's third-oldest established post-secondary institution but is the second longest operating school. NDSU, originally named the North Dakota Agricultural College, was founded 8 March 1890 as part of the Morrill Land-Grant Acts of 1862 and 1890, is the state's fourth-oldest post-secondary institution and third longest operating school. The North Dakota University System contains eleven public colleges. There are also seven private universities in North Dakota. The University of North Dakota School of Medicine and Health Sciences, a part of U
https://en.wikipedia.org/wiki/List%20of%20colleges%20and%20universities%20in%20South%20Dakota
There are twenty-two colleges and universities in the U.S. state of South Dakota that are listed under the Carnegie Classification of Institutions of Higher Education. Brookings-based South Dakota State University (SDSU) is the state's largest public university, with a spring 2012 enrollment of 12,725 students. SDSU is governed by the South Dakota Board of Regents, a governing board that also controls the University of South Dakota (USD), which has the second largest enrollment. In addition, the Board controls four other public universities in the state. USD is the oldest public university in South Dakota, as it has a founding date of 1862. Augustana University, situated in Sioux Falls, is the largest not-for-profit private university with a spring 2012 enrollment of 1,871 students in attendance. Sioux Falls Seminary, a Baptist seminary located in the city of the same name, is the state's smallest post-secondary institution, as it had a spring 2012 enrollment of 141 students. Globe University–Sioux Falls, a for-profit private university, consists of 262 students and is the state's second smallest institution. The state's only law school, the University of South Dakota School of Law, is accredited by the American Bar Association. USD also contains the state's only medical school, the University of South Dakota Sanford School of Medicine. The majority of South Dakota's post-secondary institutions are accredited by the Higher Learning Commission (HLC). Most are accredited by m
https://en.wikipedia.org/wiki/List%20of%20colleges%20and%20universities%20in%20West%20Virginia
There are forty-four colleges and universities in the U.S. state of West Virginia that are listed under the Carnegie Classification of Institutions of Higher Education. These institutions include two research universities, five master's universities, and fourteen baccalaureate colleges, as well as twenty-one associate's colleges. In addition, there are three institutions classified as special-focus institutions. West Virginia's oldest surviving post-secondary institution is Bethany College, founded on March 2, 1840 by Alexander Campbell. Marshall University and West Liberty University were both established in 1837, but as private subscription schools. Founded in 1867, West Virginia University is the state's largest public institution of higher learning in terms of enrollment, as it had 29,707 students as of spring 2013. Eastern West Virginia Community and Technical College is the state's smallest, with an enrollment of 822. With an enrollment of 1,549 students, Wheeling University is West Virginia's largest traditional private post-secondary institution, while Valley College–Princeton is the state's smallest, with an enrollment of 72. The American Public University System, a private for-profit, distance education institution based in Charles Town, has the largest enrollment of any post-secondary institution in West Virginia, with 31,331 students. Catholic Distance University, a fully online non-profit university in Charles Town, educates undergraduate students in Liberal Art
https://en.wikipedia.org/wiki/List%20of%20colleges%20and%20universities%20in%20Wisconsin
There are eighty-five colleges and universities in the U.S. state of Wisconsin that are listed under the Carnegie Classification of Institutions of Higher Education. The University of Wisconsin–Madison (UW–Madison) is the state's largest public post-secondary institution, with a fall 2010 enrollment of 42,180 students. It is the flagship of the University of Wisconsin System, which includes 25 other campuses. Marquette University in Milwaukee is the state's largest private university, with a fall 2010 enrollment of 11,806 students. With 19,827 in attendance, Milwaukee Area Technical College is the largest technical college of Wisconsin. Wisconsin School of Professional Psychology, also in Milwaukee, is the state's smallest institution, with an enrollment of 75 for fall 2010. Waukesha-based Carroll University is the state's oldest four-year post-secondary institution as it was founded on January 31, 1846, two years before Wisconsin achieved statehood. Beloit College, located in the city of Beloit, was established two days later on February 2. Medical College of Wisconsin and University of Wisconsin School of Medicine and Public Health are the state's only two medical schools. The state's two law schools, Marquette University Law School and University of Wisconsin Law School, are both accredited by the American Bar Association. The majority of Wisconsin's post-secondary institutions are accredited by the Higher Learning Commission, but 15 have received accreditation from the
https://en.wikipedia.org/wiki/Debye%E2%80%93H%C3%BCckel%20equation
The chemists Peter Debye and Erich Hückel noticed that solutions that contain ionic solutes do not behave ideally even at very low concentrations. So, while the concentration of the solutes is fundamental to the calculation of the dynamics of a solution, they theorized that an extra factor that they termed gamma is necessary to the calculation of the activities of the solution. Hence they developed the Debye–Hückel equation and Debye–Hückel limiting law. The activity is only proportional to the concentration and is altered by a factor known as the activity coefficient . This factor takes into account the interaction energy of ions in solution. Debye–Hückel limiting law In order to calculate the activity of an ion C in a solution, one must know the concentration and the activity coefficient: where is the activity coefficient of C, is the concentration of the chosen standard state, e.g. 1 mol/kg if molality is used, is a measure of the concentration of C. Dividing with gives a dimensionless quantity. The Debye–Hückel limiting law enables one to determine the activity coefficient of an ion in a dilute solution of known ionic strength. The equation is where is the charge number of ion species i, is the elementary charge, is the inverse of the Debye screening length (defined below), is the relative permittivity of the solvent, is the permittivity of free space, is the Boltzmann constant, is the temperature of the solution, is the Avogadro constant,
https://en.wikipedia.org/wiki/Flack%20parameter
In X-ray crystallography, the Flack parameter is a factor used to estimate the absolute configuration of a structural model determined by single-crystal structure analysis. In this approach, one determines the absolute structure of a noncentrosymmetric crystal. The processes used to decide the absolute structure use the anomalous dispersion effect. If atomic scattering factors did not have imaginary parts, the Friedel pairs would have exactly the same amplitudes (i.e., the scattering intensity from crystal plane (h k l) is equal to ). However, atomic scattering factors have imaginary parts due to the anomalous dispersion effect, and Friedel's law is broken by this effect. There are several ways to determine the absolute structure by X-ray crystallography. For example, a comparison of the intensities of Bijvoet pairs or of the R-factors for the two possible structures can suggest the correct absolute structure. One of the more powerful and simple approaches is using the Flack parameter, because this single parameter clearly indicates the absolute structure. The Flack parameter is calculated during the structural refinement using the equation given below: where x is the Flack parameter, I is the square of the scaled observed structure factor and F is the calculated structure factor. By determining x for all data, x is usually found to be between 0 and 1. If the value is near 0, with a small standard uncertainty, the absolute structure given by the structure refine
https://en.wikipedia.org/wiki/Amphiregulin
Amphiregulin, also known as AREG, is a protein synthesized as a transmembrane glycoprotein with 252 aminoacids and it is encoded by the AREG gene. in humans. Function The protein encoded by this gene is a member of the epidermal growth factor (EGF) family. It is a critical autocrine growth factor as well as a mitogen for astrocytes, Schwann cells, and fibroblasts. It is ligand for epidermal growth factor (EGF) and it is related to transforming growth factor alpha (TGF-alpha). This protein interacts with the Epidermal growth factor receptor (EGFR) to promote the growth of normal epithelial cells. Biological role AREG is a critical factor in estrogen action and ductal development of the mammary glands. Amphiregulin has been found to be essential for mammary ductal development, as evidenced by absence of ductal growth in amphiregulin knockout mice. This is similar to the phenotypes of EGFR and ERα knockout mice, which also show absence of ductal growth. Amphiregulin is expressed in many parts of body such as ovaries, placenta, pancreas, breasts, lungs and spleen. Expression of amphiregulin can be induced by TGF-α, TNF-α, interleukin 1, and prostaglandins. Clinical significance Role in tissue repair Generally, amphiregulin is considered to be a part of type 2 mediated resistance and tolerance, the latter of which occurs by promoting the reestablishment of tissue integrity after damage that is due to acute or chronic inflammation. Its involvement in tissue repair can be ex
https://en.wikipedia.org/wiki/Cauchy%20index
In mathematical analysis, the Cauchy index is an integer associated to a real rational function over an interval. By the Routh–Hurwitz theorem, we have the following interpretation: the Cauchy index of r(x) = p(x)/q(x) over the real line is the difference between the number of roots of f(z) located in the right half-plane and those located in the left half-plane. The complex polynomial f(z) is such that f(iy) = q(y) + ip(y). We must also assume that p has degree less than the degree of q. Definition The Cauchy index was first defined for a pole s of the rational function r by Augustin-Louis Cauchy in 1837 using one-sided limits as: A generalization over the compact interval [a,b] is direct (when neither a nor b are poles of r(x)): it is the sum of the Cauchy indices of r for each s located in the interval. We usually denote it by . We can then generalize to intervals of type since the number of poles of r is a finite number (by taking the limit of the Cauchy index over [a,b] for a and b going to infinity). Examples Consider the rational function: We recognize in p(x) and q(x) respectively the Chebyshev polynomials of degree 3 and 5. Therefore, r(x) has poles , , , and , i.e. for . We can see on the picture that and . For the pole in zero, we have since the left and right limits are equal (which is because p(x) also has a root in zero). We conclude that since q(x) has only five roots, all in [−1,1]. We cannot use here the Routh–Hurwitz theorem as
https://en.wikipedia.org/wiki/KRoC
The Kent Retargetable occam Compiler (KRoC), is computer software, an implementation of the programming language occam, that is based on the Inmos occam 2.1 compiler as a front-end and a retargetable back-end to produce machine code for various microprocessors. Ports of the compiler have been made for PowerPC, SPARC, x86, and Alpha processors. Along with the translation to different processors, the KRoC team have modified the compiler significantly, creating a compiler for what has become termed occam v2.5, and now as occam-π, pronounced occam-pi. Originally the translation from the occam compiler front-end was by interpretation of the American Standard Code for Information Interchange (ASCII) file in assembly language. This worked reasonably well but was slow and occasionally inconvenient. The current KRoC compiler target is an Extended Transputer Code (ETC), which is then translated into the target machine language. ETC code can be viewed as a kind of byte code: it is a compact description of the compiler's intent on a virtual machine that is similar to the transputer. ETC-code variants of the KRoC compiler exist for Intel x86 on Linux, and on Windows using Cygwin. A SPARC port is in the works. References External links , Kent WoTUG.org: KRoC Dr. Fred Barnes' KRoC page Transterpreter, virtual machine for occam which executes an ETC based bytecode occam-π language Compilers University of Kent
https://en.wikipedia.org/wiki/Occam-%CF%80
In computer science, occam-π (or occam-pi) is the name of a variant of the programming language occam developed by the Kent Retargetable occam Compiler (KRoC) team at the University of Kent. The name reflects the introduction of elements of π-calculus (pi-calculus) into occam, especially concepts involving mobile agents (processes) and data. The language contains several extensions to occam 2.1, including: Nested protocols Run-time process creation Mobile channels, data, and processes Recursion Protocol inheritance Array constructors Extended rendezvous See also occam (programming language) Transputer KRoC Transterpreter References External links University of Kent Occam-pi project page Tock Occam compiler Parallel programming users group on Occam-pi Concurrent programming languages University of Kent
https://en.wikipedia.org/wiki/Statistica
Statistica is an advanced analytics software package originally developed by StatSoft and currently maintained by TIBCO Software Inc. Statistica provides data analysis, data management, statistics, data mining, machine learning, text analytics and data visualization procedures. Overview Statistica is a suite of analytics software products and solutions originally developed by StatSoft and acquired by Dell in March 2014. The software includes an array of data analysis, data management, data visualization, and data mining procedures; as well as a variety of predictive modeling, clustering, classification, and exploratory techniques. Additional techniques are available through integration with the free, open source R programming environment. Different packages of analytical techniques are available in six product lines. History Statistica originally derived from a set of software packages and add-ons that were initially developed during the mid-1980s by StatSoft. Following the 1986 release of Complete Statistical System (CSS) and the 1988 release of Macintosh Statistical System (MacSS), the first DOS version (trademarked in capitals as STATISTICA) was released in 1991. In 1992, the Macintosh version of Statistica was released. Statistica 5.0 was released in 1995. It ran on both the new 32-bit Windows 95/NT and the older version of Windows (3.1). It featured many new statistics and graphics procedures, a word-processor-style output editor (combining tables and graphs), and
https://en.wikipedia.org/wiki/Carrier%20generation%20and%20recombination
In the solid-state physics of semiconductors, carrier generation and carrier recombination are processes by which mobile charge carriers (electrons and electron holes) are created and eliminated. Carrier generation and recombination processes are fundamental to the operation of many optoelectronic semiconductor devices, such as photodiodes, light-emitting diodes and laser diodes. They are also critical to a full analysis of p-n junction devices such as bipolar junction transistors and p-n junction diodes. The electron–hole pair is the fundamental unit of generation and recombination in inorganic semiconductors, corresponding to an electron transitioning between the valence band and the conduction band where generation of electron is a transition from the valence band to the conduction band and recombination leads to a reverse transition. Overview Like other solids, semiconductor materials have an electronic band structure determined by the crystal properties of the material. Energy distribution among electrons is described by the Fermi level and the temperature of the electrons. At absolute zero temperature, all of the electrons have energy below the Fermi level; but at non-zero temperatures the energy levels are filled following a Fermi-Dirac distribution. In undoped semiconductors the Fermi level lies in the middle of a forbidden band or band gap between two allowed bands called the valence band and the conduction band. The valence band, immediately below the forbidden
https://en.wikipedia.org/wiki/Ahmet%20Yal%C3%A7%C4%B1nkaya
Ahmet Yalçınkaya (born December 1963) is a Turkish poet and academician. Born in Giresun, Turkey, and grew up in Germany. Has studied Engineering, Robotics, management and business at various universities in Turkey, USA, Uzbekistan and Sweden. He lived in Europe, Turkey, and Central Asia. Lives and works today in Turkmenistan, and continues his studies, research, and teachings in Sweden. His poems, essays, letters, interviews, poetry translations have been published by newspapers and journals like Zaman, Al-Ahram Weekly, Impact, Avaz, Harman, Das Licht, Maveran, Yosh Kuch, Kiragi, Endulus, Poezia, Carmina Balcanica and others in Turkey, Germany, England, Egypt, Romania and Uzbekistan. Has been awarded with several prizes. Has represented Kiragi (Hoarfrost) Poetry Journal in Istanbul (1995–97). Has taken part in the editorial board of the literary journal Endulus (Andalusia) (1997–98). Edited and published for a short time (1995) the literary journal Mevsim (The Season). Some of his poems have been translated into languages such as English, Uzbek, Arabic, Tamil, Turkmen language, Azerbaijani, Romanian, German, and published abroad. Works Daglarda Yer Yok (Poems, 1997, "There is not any place in the mountains"), . Yetim Kalan Siirler (Poems, 2001, "Orphan Poems") Yuragimning ko`z yoshi (Selected Poems, 2001, in Uzbek, "Tears of my Heart"), . Özlem Sularında (Selected Poems, "In the Waters of Longing", e-book, 2004, printed, 2005), . Poems of the Night (Anthology, with
https://en.wikipedia.org/wiki/C%20battery
The C battery (C size battery or R14 battery) is a standard size of dry cell battery typically used in medium-drain applications such as toys, flashlights, and musical instruments. As of 2007, C batteries accounted for 4% of alkaline primary battery sales in the United States. In Switzerland as of 2008, C batteries totalled 5.4% of primary battery sales and 3.4% of secondary (rechargeable) battery sales. Properties A C battery measures length and diameter. The voltage and capacity of a C-size battery depends on the battery chemistry and discharge conditions. The nominal voltage is 1.5V. Alkaline C batteries have a storage capacity up to 8000 mAh while rechargeable NiMH C batteries can hold up to 6000 mAh. Zinc-carbon C batteries usually hold up to 3800 mAh. Compared to the AAA and AA batteries, C-batteries' storage capacities are significantly higher. Standardisation Like the D battery, the C battery size has been standardized since the 1920s. The AA, AAA, and N sizes have been in common use since the 1950s. The C battery is called "14" in current ANSI standards of battery nomenclature, and in IEC standards is designated "R14". Other common names U11 (In Britain until the 1980s) MN1400 MX1400 Baby Bébielem (Hungary) Type 343 (Soviet Union/Russia) BA-42 (US Military Spec World War II–1980s) UM 2 (JIS) #2 (China) 6135-99-199-4779 (NSN) (carbon-zinc) 6135-99-117-3212 (NSN) (alkaline) HP-11 Mezza torcia (Italy) Pila Mediana (Argentina) Pilha média (
https://en.wikipedia.org/wiki/C%20cell
C cell may refer to: Biology and medicine parafollicular cell, neuroendocrine cells in the thyroid gland which secrete calcitonin Technology C battery, a common household 1.5 volt dry cell battery C battery (vacuum tube), a battery used to power vacuum tubes in early electronic devices See also Cell C, a South African cellular phone provider Cell (disambiguation) C (disambiguation)
https://en.wikipedia.org/wiki/D%20cell
D cell can mean: D battery, a common size of dry-cell electrical battery D cell (biology), a hormone secreting, regulatory cell type found in the stomach See also DCell, one of the Data center network architectures dCell, a division of Lowe Lintas
https://en.wikipedia.org/wiki/World%20Drug%20Report
The World Drug Report is a United Nations Office on Drugs and Crime annual publication that analyzes market trends, compiling detailed statistics on drug markets. Using data, it helps draw conclusions about drugs as an issue needing intervention by government agencies around the world. UNAIDs stated on its website "The use of illicit drugs needs to be understood as a social and health condition requiring sustained prevention, treatment, and care. This is one of the major conclusions emerging from the 2015 World Drug Report, published on 26 June by the United Nations Office on Drugs and Crime." History The World Drug Report is published annually by the United Nations Office on Drugs and Crime. The first report was published in 1997, the same year the agency was established. The agency was tasked with the responsibility of crime prevention, criminal justice and criminal law reform. The World Drug Report is utilized as an annual overview of the major developments of global drug markets and as a tool to publish evidence-based drug prevention plans. There have been 19 World Drug Reports published since the original report was made public. Leader of the United Nations Office on Drugs and Crime On July 9, 2010, United Nations Secretary-General Ban Ki-moon appointed Yury Fedotov of the Russian Federation as executive director for the United Nations Office on Drugs and Crime Leadership. Mr. Fedotov is also Under-Secretary General for the United Nations as a whole. Mr. Fedotov has be
https://en.wikipedia.org/wiki/Jason%20John%20Nassau
Jason John Nassau (1893–1965) was an American astronomer. He performed his doctoral studies at Syracuse, and gained his Ph.D. mathematics in 1920. (His thesis was Some Theorems in Alternants.) He then became an assistant professor at the Case Institute of Technology in 1921, teaching astronomy. He continued to instruct at that institution, becoming the University's first chair of astronomy from 1924 until 1959 and chairman of the graduate division from 1936 until 1940. After 1959 he was professor emeritus. From 1924 until 1959 he was also the director of the Case Western Reserve University (CWRU) Warner and Swasey Observatory in Cleveland, Ohio. He was a pioneer in the study of galactic structure. He also discovered a new star cluster, co-discovered 2 novae in 1961, and developed a technique of studying the distribution of red (M-class or cooler) stars. In 1922, Nassau led the formation of the Cleveland Astronomical Society, "a club among those citizens of Cleveland and vicinity who were interested in astronomy." He served as the extant organization's first president for 41 years. Bibliography Nassau, Jason John, A Textbook of Practical Astronomy, 1934, New York. Honors The Nassau Astronomical Station at the Warner and Swasey Observatory, Observatory Park, Geauga Park District, is named for him. The Jason J. Nassau Prize was established by the Cleveland Astronomical Society in 1965. It is awarded annually to an outstanding senior student in the CWRU Department of Astr
https://en.wikipedia.org/wiki/Fear%20%28disambiguation%29
Fear is an emotion that arises from the perception of danger. Fear or The Fear may also refer to: People "Fear", an alias of Mikael Åkerfeldt's on the album The Human Equation "Fear", the online alias of the professional Dota 2 player Clinton Loomis "Fear", the lead guitarist of Mexican punk rock band Allison Arts and entertainment Fictional entities Fear, the personification of fear in the film Inside Out (2015) Fear, a villain in the R. L. Stine's The Haunting Hour episode "Fear Never Knocks" The Fear, a character from Metal Gear Solid 3: Snake Eater Film Fear (1917 film), a German film directed by Robert Wiene Fear (1946 film), a film directed by Alfred Zeisler Fear (1954 film) by Roberto Rossellini starring Ingrid Bergman Fear (1965 film), a short Hindi film directed by Ritwik Ghatak Fear (1988 film), an action film featuring Cliff DeYoung Fear (1990 film), a thriller/horror film starring Ally Sheedy Fear (1996 film), a film starring Mark Wahlberg and Reese Witherspoon Fear (2020 film), a Bulgarian film Fear (2023 film), a horror film directed by Deon Taylor Le Fear, a 2010 British comedy film The Fear (1966 film), a Greek crime drama The Fear (1995 film), an American horror film starring Vince Edwards The Fear (2015 film), a French film Gaming F.E.A.R. (series), a series of psychological horror video games F.E.A.R. (video game) (First Encounter Assault Recon), a 2005 first-person shooter video game Literature Fear (Abbot novel), a 2006 novel
https://en.wikipedia.org/wiki/Toll-like%20receptor%203
Toll-like receptor 3 (TLR3) also known as CD283 (cluster of differentiation 283) is a protein that in humans is encoded by the TLR3 gene. TLR3 is a member of the toll-like receptor family of pattern recognition receptors of the innate immune system. TLR3 recognizes double-stranded RNA in endosomes, which is a common feature of viral genomes internalised by macrophages and dendritic cells. Function TLR3 is a member of the toll-like receptor (TLR) family which plays a fundamental role in pathogen recognition and activation of innate immunity. TLRs are highly conserved from Drosophila to humans and share structural and functional similarities. They recognize pathogen-associated molecular patterns (PAMPs) that are expressed on infectious agents, and mediate the production of cytokines necessary for the development of effective immunity. The various TLRs exhibit different patterns of expression. This receptor is most abundantly expressed in placenta and pancreas, and is restricted to the dendritic subpopulation of the leukocytes. It recognizes dsRNA associated with viral infection, and induces the activation of IRF3 and NF-κB. Unlike other TLRs, TLR3 uses TRIF as the sole adaptor. IRF3 ultimately induces the production of type I interferons. It may thus play a role in host defense against viruses. TLR3 recognizes double-stranded RNA, a form of genetic information carried by some viruses such as reoviruses. Additionally, an ephemeral form of double-stranded RNA exists as a repl
https://en.wikipedia.org/wiki/Potential%20temperature
The potential temperature of a parcel of fluid at pressure is the temperature that the parcel would attain if adiabatically brought to a standard reference pressure , usually . The potential temperature is denoted and, for a gas well-approximated as ideal, is given by where is the current absolute temperature (in K) of the parcel, is the gas constant of air, and is the specific heat capacity at a constant pressure. for air (meteorology). The reference point for potential temperature in the ocean is usually at the ocean's surface which has a water pressure of 0 dbar. The potential temperature in the ocean doesn't account for the varying heat capacities of seawater, therefore it is not a conservative measure of heat content. Graphical representation of potential temperature will always be less than the actual temperature line in a temperature vs depth graph. Contexts The concept of potential temperature applies to any stratified fluid. It is most frequently used in the atmospheric sciences and oceanography. The reason that it is used in both fields is that changes in pressure can result in warmer fluid residing under colder fluid – examples being dropping air temperature with altitude and increasing water temperature with depth in very deep ocean trenches and within the ocean mixed layer. When the potential temperature is used instead, these apparently unstable conditions vanish as a parcel of fluid is invariant along its isolines. In the oceans, the potential temp
https://en.wikipedia.org/wiki/Wireworld
Wireworld, alternatively WireWorld, is a cellular automaton first proposed by Brian Silverman in 1987, as part of his program Phantom Fish Tank. It subsequently became more widely known as a result of an article in the "Computer Recreations" column of Scientific American. Wireworld is particularly suited to simulating transistors, and is Turing-complete. Rules A Wireworld cell can be in one of four different states, usually numbered 0–3 in software, modeled by colors in the examples here: empty (black), electron head (blue), electron tail (red), conductor (yellow). As in all cellular automata, time proceeds in discrete steps called generations (sometimes "gens" or "ticks"). Cells behave as follows: empty → empty, electron head → electron tail, electron tail → conductor, conductor → electron head if exactly one or two of the neighbouring cells are electron heads, otherwise remains conductor. Wireworld uses what is called the Moore neighborhood, which means that in the rules above, neighbouring means one cell away (range value of one) in any direction, both orthogonal and diagonal. These simple rules can be used to construct logic gates (see below). Applications Entities built within Wireworld universes include Langton's Ant (allowing any Langton's Ant pattern to be built within Wireworld) and the Wireworld computer, a Turing-complete computer implemented as a cellular automaton. See also von Neumann's cellular automaton References External links Wireworld on Rose
https://en.wikipedia.org/wiki/Irregular%20Z-buffer
The irregular Z-buffer is an algorithm designed to solve the visibility problem in real-time 3-d computer graphics. It is related to the classical Z-buffer in that it maintains a depth value for each image sample and uses these to determine which geometric elements of a scene are visible. The key difference, however, between the classical Z-buffer and the irregular Z-buffer is that the latter allows arbitrary placement of image samples in the image plane, whereas the former requires samples to be arranged in a regular grid. These depth samples are explicitly stored in a two-dimensional spatial data structure. During rasterization, triangles are projected onto the image plane as usual, and the data structure is queried to determine which samples overlap each projected triangle. Finally, for each overlapping sample, the standard Z-compare and (conditional) frame buffer update are performed. Implementation The classical rasterization algorithm projects each polygon onto the image plane, and determines which sample points from a regularly spaced set lie inside the projected polygon. Since the locations of these samples (i.e. pixels) are implicit, this determination can be made by testing the edges against the implicit grid of sample points. If, however the locations of the sample points are irregularly spaced and cannot be computed from a formula, then this approach does not work. The irregular Z-buffer solves this problem by storing sample locations explicitly in a two-dimens
https://en.wikipedia.org/wiki/Beck%27s%20monadicity%20theorem
In category theory, a branch of mathematics, Beck's monadicity theorem gives a criterion that characterises monadic functors, introduced by in about 1964. It is often stated in dual form for comonads. It is sometimes called the Beck tripleability theorem because of the older term triple for a monad. Beck's monadicity theorem asserts that a functor is monadic if and only if U has a left adjoint; U reflects isomorphisms (if U(f) is an isomorphism then so is f); and C has coequalizers of U-split parallel pairs (those parallel pairs of morphisms in C, which U sends to pairs having a split coequalizer in D), and U preserves those coequalizers. There are several variations of Beck's theorem: if U has a left adjoint then any of the following conditions ensure that U is monadic: U reflects isomorphisms and C has coequalizers of reflexive pairs (those with a common right inverse) and U preserves those coequalizers. (This gives the crude monadicity theorem.) Every diagram in C which is by U sent to a split coequalizer sequence in D is itself a coequalizer sequence in C. In different words, U creates (preserves and reflects) U-split coequalizer sequences. Another variation of Beck's theorem characterizes strictly monadic functors: those for which the comparison functor is an isomorphism rather than just an equivalence of categories. For this version the definitions of what it means to create coequalizers is changed slightly: the coequalizer has to be unique rather than just u
https://en.wikipedia.org/wiki/Beck%27s%20theorem%20%28geometry%29
In discrete geometry, Beck's theorem is any of several different results, two of which are given below. Both appeared, alongside several other important theorems, in a well-known paper by József Beck. The two results described below primarily concern lower bounds on the number of lines determined by a set of points in the plane. (Any line containing at least two points of point set is said to be determined by that point set.) Erdős–Beck theorem The Erdős–Beck theorem is a variation of a classical result by L. M. Kelly and W. O. J. Moser involving configurations of n points of which at most n − k are collinear, for some 0 < k < O(). They showed that if n is sufficiently large, relative to k, then the configuration spans at least kn − (1/2)(3k + 2)(k − 1) lines. Elekes and Csaba Toth noted that the Erdős–Beck theorem does not easily extend to higher dimensions. Take for example a set of 2n points in R3 all lying on two skew lines. Assume that these two lines are each incident to n points. Such a configuration of points spans only 2n planes. Thus, a trivial extension to the hypothesis for point sets in Rd is not sufficient to obtain the desired result. This result was first conjectured by Erdős, and proven by Beck. (See Theorem 5.2 in.) Statement Let S be a set of n points in the plane. If no more than n − k points lie on any line for some 0 ≤ k < n − 2, then there exist Ω(nk) lines determined by the points of S. Proof Beck's theorem Beck's theorem says that finite colle
https://en.wikipedia.org/wiki/Weddellite
Weddellite (CaC2O4·2H2O) is a mineral form of calcium oxalate named for occurrences of millimeter-sized crystals found in bottom sediments of the Weddell Sea, off Antarctica. Occasionally, weddellite partially dehydrates to whewellite, forming excellent pseudomorphs of grainy whewellite after weddellite's short tetragonal dipyramids. It was first described in 1936 but only named in 1942. Structural properties Weddellite, or calcium oxalate dihydrate, crystallises in a tetragonal system: the classic crystal shape is the eight-face bipyramid. Using bright field microscopy, the weddellite crystals are recognised easily by their shape, reminiscent of a postal envelope. More complex shapes of weddellite are possible; the dumbbell shape is not rare and has no precise angles or sides. This form is, in reality, a microcrystalline agglomerate that takes the shape of a biconcave disc. Weddellite crystals are poorly birefringent and do not show any interference pattern under polarised light. Biological role Weddellite crystals are usually of little clinical value. Together, whewellite and weddellite are the most common renal calculi. Occurrence Weddellite occurs as authigenic crystals in sea floor mud. It also has been reported in peat bearing sediments and in calcite-bearing lacustrine sediments. It occurs with whewellite, urea, phosphammite and aphthitalite. If oxalic acid is used to clean any mineral sample that contains calcium, weddellite and whewellite may be produced on the
https://en.wikipedia.org/wiki/Lazarus%20%28software%29
Lazarus is a free, cross-platform, integrated development environment (IDE) for rapid application development (RAD) using the Free Pascal compiler. Its goal is to provide an easy-to-use development environment for programmers developing with the Object Pascal language, which is as close as possible to Delphi. Software developers use Lazarus to create native-code console and graphical user interface (GUI) applications for the desktop, and also for mobile devices, web applications, web services, visual components and function libraries for a number of different platforms, including Mac, Linux and Windows. A project created by using Lazarus on one platform can be compiled on any other one which Free Pascal compiler supports. For desktop applications a single source can target macOS, Linux, and Windows, with little or no modification. An example is the Lazarus IDE itself, created from a single code base and available on all major platforms including the Raspberry Pi. Features Lazarus provides a WYSIWYG development environment for the creation of rich user interfaces, application logic, and other supporting code artifacts, similar to Borland Delphi. Along with project management features, the Lazarus IDE also provides: A visual windows layout designer GUI widgets or visual components such as edit boxes, buttons, dialogs, menus, etc. Non-visual components for common behaviors such as persistence of application settings Data-connectivity components for MySQL, PostgreSQL, Fi
https://en.wikipedia.org/wiki/Specific%20volume
In thermodynamics, the specific volume of a substance (symbol: , nu) is a mass-specific intrinsic property of the substance, defined as the quotient of the substance's volume () to its mass (). It is the reciprocal of density (rho) and it is also related to the molar volume and molar mass: The standard unit of specific volume is cubic meters per kilogram (m3/kg), but other units include ft3/lb, ft3/slug, or mL/g. Specific volume for an ideal gas is related to the molar gas constant () and the gas's temperature (), pressure (), and molar mass () as shown: Since and Applications Specific volume is commonly applied to: Molar volume Volume (thermodynamics) Partial molar volume Imagine a variable-volume, airtight chamber containing a certain number of atoms of oxygen gas. Consider the following four examples: If the chamber is made smaller without allowing gas in or out, the density increases and the specific volume decreases. If the chamber expands without letting gas in or out, the density decreases and the specific volume increases. If the size of the chamber remains constant and new atoms of gas are injected, the density increases and the specific volume decreases. If the size of the chamber remains constant and some atoms are removed, the density decreases and the specific volume increases. Specific volume is a property of materials, defined as the number of cubic meters occupied by one kilogram of a particular substance. The standard unit is the meter cubed pe
https://en.wikipedia.org/wiki/Cadmium%20telluride
Cadmium telluride (CdTe) is a stable crystalline compound formed from cadmium and tellurium. It is mainly used as the semiconducting material in cadmium telluride photovoltaics and an infrared optical window. It is usually sandwiched with cadmium sulfide to form a p–n junction solar PV cell. Applications CdTe is used to make thin film solar cells, accounting for about 8% of all solar cells installed in 2011. They are among the lowest-cost types of solar cell, although a comparison of total installed cost depends on installation size and many other factors, and has changed rapidly from year to year. The CdTe solar cell market is dominated by First Solar. In 2011, around 2 GWp of CdTe solar cells were produced; For more details and discussion see cadmium telluride photovoltaics. CdTe can be alloyed with mercury to make a versatile infrared detector material (HgCdTe). CdTe alloyed with a small amount of zinc makes an excellent solid-state X-ray and gamma ray detector (CdZnTe). CdTe is used as an infrared optical material for optical windows and lenses and is proven to provide a good performance across a wide range of temperatures. An early form of CdTe for IR use was marketed under the trademarked name of Irtran-6, but this is obsolete. CdTe is also applied for electro-optic modulators. It has the greatest electro-optic coefficient of the linear electro-optic effect among II-VI compound crystals (r41=r52=r63=6.8×10−12 m/V). CdTe doped with chlorine is used as a radiation
https://en.wikipedia.org/wiki/MCMC
MCMC may refer to: Malaysian Communications and Multimedia Commission, a regulator agency of the Malaysian government Markov chain Monte Carlo, a class of algorithms and methods in statistics See also MC (disambiguation) MC2 (disambiguation)
https://en.wikipedia.org/wiki/Yushania
Yushania is a genus of bamboo in the grass family. Recent classification systems place Yushania in the tribe Arundinarieae. The species of Yushania are evergreen, spreading, thornless bamboos native to Himalayan, African, Chinese, and Southeast Asian mountains at moderate to high altitudes, up to 3000 m. Yushania contains species formerly classified as members of Arundinaria, as well as one species that is still considered to be a Sinarundinaria by some. Some species of Yushania are popular to cultivate. Species Formerly included see Chimonocalamus Drepanostachyum Fargesia Gelidocalamus Otatea Pseudosasa Sarocalamus References External links Bambusoideae Bambusoideae genera
https://en.wikipedia.org/wiki/G%C3%B6del%20metric
The Gödel metric, also known as the Gödel solution or Gödel universe, is an exact solution, found in 1949 by Kurt Gödel, of the Einstein field equations in which the stress–energy tensor contains two terms: the first representing the matter density of a homogeneous distribution of swirling dust particles (dust solution), and the second associated with a negative cosmological constant (see Lambdavacuum solution). This solution has many unusual properties—in particular, the existence of closed time-like curves that would allow time travel in a universe described by the solution. Its definition is somewhat artificial, since the value of the cosmological constant must be carefully chosen to correspond to the density of the dust grains, but this spacetime is an important pedagogical example. Definition Like any other Lorentzian spacetime, the Gödel solution represents the metric tensor in terms of a local coordinate chart. It may be easiest to understand the Gödel universe using the cylindrical coordinate system (see below), but this article uses the chart originally used by Gödel. In this chart, the metric (or, equivalently, the line element) is where is a non-zero real constant that gives the angular velocity of the surrounding dust grains about the y-axis, measured by a "non-spinning" observer riding on one of the dust grains. "Non-spinning" means that the observer does not feel centrifugal forces, but in this coordinate system, it would rotate about an axis parallel to the
https://en.wikipedia.org/wiki/Diffusing%20update%20algorithm
The diffusing update algorithm (DUAL) is the algorithm used by Cisco's EIGRP routing protocol to ensure that a given route is recalculated globally whenever it might cause a routing loop. It was developed by J.J. Garcia-Luna-Aceves at SRI International. The full name of the algorithm is DUAL finite-state machine (DUAL FSM). EIGRP is responsible for the routing within an autonomous system, and DUAL responds to changes in the routing topology and dynamically adjusts the routing tables of the router automatically. EIGRP uses a feasibility condition to ensure that only loop-free routes are ever selected. The feasibility condition is conservative: when the condition is true, no loops can occur, but the condition might under some circumstances reject all routes to a destination although some are loop-free. When no feasible route to a destination is available, the DUAL algorithm invokes a diffusing computation to ensure that all traces of the problematic route are eliminated from the network. At which point the normal Bellman–Ford algorithm is used to recover a new route. Operation DUAL uses three separate tables for the route calculation. These tables are created using information exchanged between the EIGRP routers. The information is different than that exchanged by link-state routing protocols. In EIGRP, the information exchanged includes the routes, the "metric" or cost of each route, and the information required to form a neighbor relationship (such as AS number, timers,
https://en.wikipedia.org/wiki/Stomatogastric%20nervous%20system
The Stomatogastric Nervous System (STNS) is a commonly studied neural network composed of several ganglia in arthropods that controls the motion of the gut and foregut. The network of neurons acts as a central pattern generator. It is a model system for motor pattern generation because of the small number of cells, which are comparatively large and can be reliably identified. The system is composed of the stomatogastric ganglion (STG), oesophageal ganglion and the paired commissural ganglia. Because of the many similarities between vertebrate and invertebrate systems, especially with regards to basic principles of neuronal function, invertebrate model systems such as the crustacean stomatogastric nervous system continue to provide key insight into how neural circuits operate in the numerically larger and less accessible vertebrate CNS. Understanding how neuronal networks enable animals and humans to make coordinated movements is a continuing goal of neuroscience research. The stomatogastric nervous system of decapod crustaceans, which controls aspects of feeding, has contributed significantly to the general principles guiding our present understanding of how rhythmic motor circuits operate at the cellular level. Rhythmic behaviors include all motor acts that at their core involve a rhythmic repeating set of movements. The circuits underlying such rhythmic behaviors, central pattern generators (CPGs), all operate on the same general principles. These networks remain rhythm
https://en.wikipedia.org/wiki/Ammonium%20bromide
Ammonium bromide, NH4Br, is the ammonium salt of hydrobromic acid. The chemical crystallizes in colorless prisms, possessing a saline taste; it sublimes on heating and is easily soluble in water. On exposure to air it gradually assumes a yellow color because of the oxidation of traces of bromide (Br−) to bromine (Br2). Preparation Ammonium bromide can be prepared by the direct action of hydrogen bromide on ammonia. NH3 + HBr → NH4Br It can also be prepared by the reaction of ammonia with iron(II) bromide or iron(III) bromide, which may be obtained by passing aqueous bromine solution over iron filings. 2 NH3 + FeBr2 + 2 H2O → 2 NH4Br + Fe(OH)2 Reactions Ammonium bromide is a weak acid with a pKa of approximately 5 in water. It is an acid salt because the ammonium ion hydrolyzes slightly in water. Ammonium bromide is a strong electrolyte when put in water: NH4Br(s) → (aq) + Br−(aq) Ammonium bromide decomposes to ammonia and hydrogen bromide when heated at elevated temperatures: NH4Br → NH3 + HBr Uses Ammonium bromide is used for photography in films, plates and papers; in fireproofing of wood; in lithography and process engraving; in corrosion inhibitors; and in pharmaceutical preparations. References Ammonium compounds Bromides Nonmetal halides
https://en.wikipedia.org/wiki/Ammonium%20fluoride
Ammonium fluoride is the inorganic compound with the formula NH4F. It crystallizes as small colourless prisms, having a sharp saline taste, and is highly soluble in water. Like all fluoride salts, it is moderately toxic in both acute and chronic overdose. Crystal structure Ammonium fluoride adopts the wurtzite crystal structure, in which both the ammonium cations and the fluoride anions are stacked in ABABAB... layers, each being tetrahedrally surrounded by four of the other. There are N−H···F hydrogen bonds between the anions and cations. This structure is very similar to ice, and ammonium fluoride is the only substance which can form mixed crystals with water. Reactions On passing hydrogen fluoride gas (in excess) through the salt, ammonium fluoride absorbs the gas to form the addition compound ammonium bifluoride. The reaction occurring is: NH4F + HF → NH4HF2 It sublimes when heated—a property common among ammonium salts. In the sublimation, the salt decomposes to ammonia and hydrogen fluoride, and the two gases can recombine to give ammonium fluoride, i.e. the reaction is reversible: [NH4]F ⇌ NH3 + HF Uses This substance is commonly called "commercial ammonium fluoride". The word "neutral" is sometimes added to "ammonium fluoride" to represent the neutral salt [NH4]F as opposed to the "acid salt" (NH4HF2). The acid salt is usually used in preference to the neutral salt in the etching of glass and related silicates. This property is shared among all soluble fluorides.
https://en.wikipedia.org/wiki/Cowboy%20coding
Cowboy coding is software development where programmers have autonomy over the development process. This includes control of the project's schedule, languages, algorithms, tools, frameworks and coding style. Typically, little to no coordination exists with other developers or stakeholders. A cowboy coder can be a lone developer or part of a group of developers working with minimal process or discipline. Usually it occurs when there is little participation by business users, or fanned by management that controls only non-development aspects of the project, such as the broad targets, timelines, scope, and visuals (the "what", but not the "how"). "Cowboy coding" commonly sees usage as a derogatory term when contrasted with more structured software development methodologies. Disadvantages In cowboy coding, the lack of formal software project management methodologies may be indicative (though not necessarily) of a project's small size or experimental nature. Software projects with these attributes may exhibit: Lack of release structure Lack of estimation or implementation planning might cause a project to be delayed. Sudden deadlines or pushes to release software may encourage the use of "quick and dirty" techniques that will require further attention later. Inexperienced developers Cowboy coding can be common at the hobbyist or student level where developers might initially be unfamiliar with the technologies, such as testing, version control and/or build tools, usually mor
https://en.wikipedia.org/wiki/General%20classification
The general classification (or the GC) in road bicycle racing is the category that tracks overall times for riders in multi-stage races. Each stage will have a stage winner, but the overall winner in the GC is the rider who has the fastest cumulative time across all stages. Hence, whoever leads the GC is generally regarded as the overall leader or winner of the race. Riders who finish in the same group are awarded the same time, with possible subtractions due to time bonuses. Two riders are said to have finished in the same group if the gap between them is less than three seconds. A crash or mechanical incident in the final 3 kilometres of a stage that finishes without a categorised climb usually means that riders thus affected are considered to have finished as part of the group they were with at the 3 km mark, so long as they finish the stage. It is possible to win the GC without winning a stage. It is also possible to win the GC race without being the GC leader before the last stage. The most important stages of a bicycle race for GC contenders are mountain stages and individual time trial stages, both of which offer good opportunities for a single racer to outperform other racers. Jerseys In many bicycle races, the current leader of the GC gets a special jersey awarded. In the Tour de France, the leader wears a yellow jersey, in the Giro d'Italia a pink jersey, and in the Vuelta a España the leader's jersey is red. Jerseys of the major stage races The listed year is
https://en.wikipedia.org/wiki/Nidogen-1
Nidogen-1 (NID-1), formerly known as entactin, is a protein that in humans is encoded by the NID1 gene. Both nidogen-1 and nidogen-2 are essential components of the basement membrane alongside other components such as type IV collagen, proteoglycans (heparan sulfate and glycosaminoglycans), laminin and fibronectin. Function Nidogen-1 is a member of the nidogen family of basement membrane glycoproteins. The protein interacts with several other components of basement membranes. Structurally it (along with perlecan) connects the networks formed by collagens and laminins to each other. It may also play a role in cell interactions with the extracellular matrix. Clinical significance Mutations in NID1 cause autosomal dominant Dandy–Walker malformation with occipital encephalocele (ADDWOC). Interactions Nidogen-1 has been shown to interact with FBLN1. References Further reading External links Human proteins Glycoproteins Extracellular matrix proteins Genes on human chromosome 1
https://en.wikipedia.org/wiki/Kernel%20density%20estimation
In statistics, kernel density estimation (KDE) is the application of kernel smoothing for probability density estimation, i.e., a non-parametric method to estimate the probability density function of a random variable based on kernels as weights. KDE answers a fundamental data smoothing problem where inferences about the population are made, based on a finite data sample. In some fields such as signal processing and econometrics it is also termed the Parzen–Rosenblatt window method, after Emanuel Parzen and Murray Rosenblatt, who are usually credited with independently creating it in its current form. One of the famous applications of kernel density estimation is in estimating the class-conditional marginal densities of data when using a naive Bayes classifier, which can improve its prediction accuracy. Definition Let (x1, x2, ..., xn) be independent and identically distributed samples drawn from some univariate distribution with an unknown density ƒ at any given point x. We are interested in estimating the shape of this function ƒ. Its kernel density estimator is where K is the kernel — a non-negative function — and is a smoothing parameter called the bandwidth. A kernel with subscript h is called the scaled kernel and defined as . Intuitively one wants to choose h as small as the data will allow; however, there is always a trade-off between the bias of the estimator and its variance. The choice of bandwidth is discussed in more detail below. A range of kernel function
https://en.wikipedia.org/wiki/Ubay%2C%20Bohol
Ubay, officially the Municipality of Ubay (; ), is a fast growing 1st class municipality in the province of Bohol, Philippines. Based on the 2020 Philippine Statistics Authority census, it has a population of 81,799 people which is projected to grow to 100,000 in 2030. Ubay is in the northeast of the province, and has an uncontested area of 258.132847 square kilometers (25,813.2847 hectares) and has a contested area of 5.87 square kilometers (587.8688 hectares) with other Municipality per certification issued by the Land Management Bureau(LMB) of the DENR. It has a of coastline. It is the largest (estimated eight times (8x) larger than the capital city of Tagbilaran) and most populated municipality in Bohol. Etymology One etymology derivation is that the town's name is a contraction of the term ubay-ubay, meaning "alongside". According to Kaufmann's Visayan-English dictionary, the Visayan word "ubay" means: The flow of seawater between the mainland and the island of Lapinig Grande (now Pres. C.P. Garcia town) could justify the second definition of Ubay. It is a situation that is permanent and the constant reference to the flow of water can make the term ubay be attached as the name of the place. An alternative derivation is that the term 'ubay-ubay' or 'alongside' became the byword of seafarers who used to travel close to the shorelines of Ubay to avoid the strong current of the Canigao Channel. There was a single path to follow reach the island trading centres. This
https://en.wikipedia.org/wiki/EPaper%20Ltd
ePaper Ltd. is an Israeli company known for its developing and manufacturing of Sentinel, a print management software. The company is also known for its print optimization technology, ePaper Ltd is an Israeli company that specializes in the development and production of electronic paper (e-paper) displays. E-paper is a display technology that mimics the appearance of ink on paper, using tiny capsules filled with positively and negatively charged particles that are suspended in a clear fluid. When an electric field is applied to the capsules, they move to the top or bottom of the fluid, causing the display to change color. ePaper Ltd was founded in 2006 and has since become a leading provider of e-paper displays for various applications, such as electronic shelf labels, electronic signage, and e-readers. The company's products are known for their high resolution, low power consumption, and ability to maintain an image even when power is disconnected. In addition to its standard product line, ePaper Ltd also offers custom solutions for specific applications, working closely with customers to develop displays that meet their unique requirements. The company has a strong focus on research and development, and is constantly exploring new ways to improve its technology and expand its product offerings. ePaper Ltd is headquartered in Israel, with offices and operations in the United States, Europe, and Asia. The company has a global customer base and is recognized as a leader
https://en.wikipedia.org/wiki/Linear%20multistep%20method
Linear multistep methods are used for the numerical solution of ordinary differential equations. Conceptually, a numerical method starts from an initial point and then takes a short step forward in time to find the next solution point. The process continues with subsequent steps to map out the solution. Single-step methods (such as Euler's method) refer to only one previous point and its derivative to determine the current value. Methods such as Runge–Kutta take some intermediate steps (for example, a half-step) to obtain a higher order method, but then discard all previous information before taking a second step. Multistep methods attempt to gain efficiency by keeping and using the information from previous steps rather than discarding it. Consequently, multistep methods refer to several previous points and derivative values. In the case of linear multistep methods, a linear combination of the previous points and derivative values is used. Definitions Numerical methods for ordinary differential equations approximate solutions to initial value problems of the form The result is approximations for the value of at discrete times : where is the time step (sometimes referred to as ) and is an integer. Multistep methods use information from the previous steps to calculate the next value. In particular, a linear multistep method uses a linear combination of and to calculate the value of for the desired current step. Thus, a linear multistep method is a method of the for
https://en.wikipedia.org/wiki/BRV
BRV may refer to: Baboon orthoreovirus Constitution of the German Empire (Bismarcksche Reichsverfassung) Blue River virus, an RNA virus Bournville railway station in England Bremerhaven Airport, a former airfield in Germany, then IATA code Western Bru, an Austroasiatic language of Thailand, ISO 639 code Honda BR-V, a vehicle Bolivarian Republic of Venezuela
https://en.wikipedia.org/wiki/Maucherite
Maucherite is a grey to reddish silver white nickel arsenide mineral. It crystallizes in the tetragonal crystal system. It occurs in hydrothermal veins alongside other nickel arsenide and sulfide minerals. It is metallic and opaque with a hardness of 5 and a specific gravity of 7.83. It is also known as placodine and Temiskamite. The unit cell is of symmetry group P41212 or P43212. It has the chemical formula: Ni11As8 and commonly contains copper, iron, cobalt, antimony, and sulfur as impurities. It was discovered in 1913 in Eisleben, Germany and was named after Wilhelm Maucher (1879–1930), a German mineral collector. References Mindat localities Nickel minerals Arsenide minerals Tetragonal minerals Minerals in space group 92 Minerals in space group 96
https://en.wikipedia.org/wiki/Herderite
Herderite is a phosphate mineral belonging to the apatite, phosphate group, with formula CaBe(PO4)(F,OH). It forms monoclinic crystals, often twinned and variable in colour from colourless through yellow to green. It forms a series with the more common hydroxylherderite, which has more hydroxyl ion than fluoride. It is found in many parts of the world, often in pegmatites and associated with other apatite minerals. It was first described in 1828 for an occurrence in the Sauberg Mine, Ore Mountains, Saxony, Germany. It was named for Saxon mining official Sigmund August Wolfgang von Herder (1776–1838). References Calcium minerals Beryllium minerals Phosphate minerals Fluorine minerals Monoclinic minerals Minerals in space group 14
https://en.wikipedia.org/wiki/Nucleic%20acid%20double%20helix
In molecular biology, the term double helix refers to the structure formed by double-stranded molecules of nucleic acids such as DNA. The double helical structure of a nucleic acid complex arises as a consequence of its secondary structure, and is a fundamental component in determining its tertiary structure. The term entered popular culture with the publication in 1968 of The Double Helix: A Personal Account of the Discovery of the Structure of DNA by James Watson. The DNA double helix biopolymer of nucleic acid is held together by nucleotides which base pair together. In B-DNA, the most common double helical structure found in nature, the double helix is right-handed with about 10–10.5 base pairs per turn. The double helix structure of DNA contains a major groove and minor groove. In B-DNA the major groove is wider than the minor groove. Given the difference in widths of the major groove and minor groove, many proteins which bind to B-DNA do so through the wider major groove. History The double-helix model of DNA structure was first published in the journal Nature by James Watson and Francis Crick in 1953, (X,Y,Z coordinates in 1954) based on the work of Rosalind Franklin and her student Raymond Gosling, who took the crucial X-ray diffraction image of DNA labeled as "Photo 51", and Maurice Wilkins, Alexander Stokes, and Herbert Wilson, and base-pairing chemical and biochemical information by Erwin Chargaff. Before this, Linus Pauling—who had already accurately characte
https://en.wikipedia.org/wiki/Volterra%20integral%20equation
In mathematics, the Volterra integral equations are a special type of integral equations. They are divided into two groups referred to as the first and the second kind. A linear Volterra equation of the first kind is where f is a given function and x is an unknown function to be solved for. A linear Volterra equation of the second kind is In operator theory, and in Fredholm theory, the corresponding operators are called Volterra operators. A useful method to solve such equations, the Adomian decomposition method, is due to George Adomian. A linear Volterra integral equation is a convolution equation if The function in the integral is called the kernel. Such equations can be analyzed and solved by means of Laplace transform techniques. For a weakly singular kernel of the form with , Volterra integral equation of the first kind can conveniently be transformed into a classical Abel integral equation. The Volterra integral equations were introduced by Vito Volterra and then studied by Traian Lalescu in his 1908 thesis, Sur les équations de Volterra, written under the direction of Émile Picard. In 1911, Lalescu wrote the first book ever on integral equations. Volterra integral equations find application in demography as Lotka's integral equation, the study of viscoelastic materials, in actuarial science through the renewal equation, and in fluid mechanics to describe the flow behavior near finite-sized boundaries. Conversion of Volterra equation of the first kind t
https://en.wikipedia.org/wiki/Stiff%20equation
In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small. It has proven difficult to formulate a precise definition of stiffness, but the main idea is that the equation includes some terms that can lead to rapid variation in the solution. When integrating a differential equation numerically, one would expect the requisite step size to be relatively small in a region where the solution curve displays much variation and to be relatively large where the solution curve straightens out to approach a line with slope nearly zero. For some problems this is not the case. In order for a numerical method to give a reliable solution to the differential system sometimes the step size is required to be at an unacceptably small level in a region where the solution curve is very smooth. The phenomenon is known as stiffness. In some cases there may be two different problems with the same solution, yet one is not stiff and the other is. The phenomenon cannot therefore be a property of the exact solution, since this is the same for both problems, and must be a property of the differential system itself. Such systems are thus known as stiff systems. Motivating example Consider the initial value problem The exact solution (shown in cyan) is We seek a numerical solution that exhibits the same behavior. The figure (right) illustrates the numerical
https://en.wikipedia.org/wiki/Sudanic%20languages
In early 20th century classification of African languages, Sudanic was a generic term for languages spoken in the Sahel belt, from Ethiopia in the east to Senegal in the west. Scope The grouping was based on geographic and loose typological grounds. One of its proponents was the German linguist Carl Meinhof. Meinhof had been working on the Bantu languages, which have an elaborate noun-class system, and he labeled all languages not in Hamito-Semitic or Bushman that lacked such a noun-class system Sudansprachen. There were two main branches; Eastern Sudanic was largely equivalent to Nilo-Saharan sans Nilotic, and Western Sudanic to Niger–Congo sans Bantu. Background Westermann, pupil of Carl Meinhof, carried out comparative linguistic research on the then Sudanic languages during the first half of the twentieth century. In his 1911 study he established a basic division between 'East' and 'West' Sudanic, roughly comparable to today's distinction of Niger–Congo and Nilo-Saharan. His 1927 collaboration with Hermann Baumann was devoted to the historical reconstruction of the West Sudanic branch. He compared his results with Meinhof's Proto-Bantu reconstructions but did not state the obvious conclusion that they were related, perhaps out of respect for his teacher. French linguists like Delafosse and Homburger, not hindered by such concerns, were quite explicit about the unity of West Sudanic and Bantu, mainly on the basis of synchronic lexicostatistical data. In his 1935 "Charac
https://en.wikipedia.org/wiki/Dym%20equation
In mathematics, and in particular in the theory of solitons, the Dym equation (HD) is the third-order partial differential equation It is often written in the equivalent form for some function v of one space variable and time The Dym equation first appeared in Kruskal and is attributed to an unpublished paper by Harry Dym. The Dym equation represents a system in which dispersion and nonlinearity are coupled together. HD is a completely integrable nonlinear evolution equation that may be solved by means of the inverse scattering transform. It obeys an infinite number of conservation laws; it does not possess the Painlevé property. The Dym equation has strong links to the Korteweg–de Vries equation. C.S. Gardner, J.M. Greene, Kruskal and R.M. Miura applied [Dym equation] to the solution of corresponding problem in Korteweg–de Vries equation. The Lax pair of the Harry Dym equation is associated with the Sturm–Liouville operator. The Liouville transformation transforms this operator isospectrally into the Schrödinger operator. Thus by the inverse Liouville transformation solutions of the Korteweg–de Vries equation are transformed into solutions of the Dym equation. An explicit solution of the Dym equation, valid in a finite interval, is found by an auto-Bäcklund transform Notes References Solitons Exactly solvable models Integrable systems
https://en.wikipedia.org/wiki/Kolmogorov%20microscales
In fluid dynamics, Kolmogorov microscales are the smallest scales in the turbulent flow of fluids. At the Kolmogorov scale, viscosity dominates and the turbulence kinetic energy is dissipated into thermal energy. They are defined by where is the average rate of dissipation of turbulence kinetic energy per unit mass, and is the kinematic viscosity of the fluid. Typical values of the Kolmogorov length scale, for atmospheric motion in which the large eddies have length scales on the order of kilometers, range from 0.1 to 10 millimeters; for smaller flows such as in laboratory systems, may be much smaller. In 1941, Andrey Kolmogorov introduced the hypothesis that the smallest scales of turbulence are universal (similar for every turbulent flow) and that they depend only on and . The definitions of the Kolmogorov microscales can be obtained using this idea and dimensional analysis. Since the dimension of kinematic viscosity is length2/time, and the dimension of the energy dissipation rate per unit mass is length2/time3, the only combination that has the dimension of time is which is the Kolmorogov time scale. Similarly, the Kolmogorov length scale is the only combination of and that has dimension of length. Alternatively, the definition of the Kolmogorov time scale can be obtained from the inverse of the mean square strain rate tensor, which also gives using the definition of the energy dissipation rate per unit mass Then the Kolmogorov length scale can be obtai
https://en.wikipedia.org/wiki/COQ7
Mitochondrial 5-demethoxyubiquinone hydroxylase (DMQ hydroxylase), also known as coenzyme Q7, hydroxylase, is an enzyme that in humans is encoded by the COQ7 gene. The clk-1 (clock-1) gene encodes this protein that is necessary for ubiquinone biosynthesis in the worm Caenorhabditis elegans and other eukaryotes. The mouse version of the gene is called mclk-1 and the human, fruit fly and yeast homolog COQ7 (coenzyme Q biosynthesis protein 7). CLK-1 is not to be confused with the unrelated human protein CLK1 which plays a role in RNA splicing. Structure The protein has two repeats of approximately 90 amino acids, that contain two conserved motifs predicted to be important for coordination of iron. The structure and function of the gene are highly conserved among different species. The C. elegans protein contains 187 amino acid residues (20 kilodaltons), the human homolog 217 amino acid residues (24 kilodaltons, gene consisting of six exons spanning 11 kb and located on chromosome 16). Mitochondrial function Ubiquinone is a small redox active lipid that is found in most cellular membranes where it acts as a cofactor in numerous cellular redox processes, including mitochondrial electron transport. As a cofactor, ubiquinone is often involved in processes that produce reactive oxygen species (ROS). In addition, ubiquinone is one of the main endogenous antioxidants of the cell. The CLK-1 enzyme is responsible for the hydroxylation of 5-demethoxyubiquinone to 5-hydroxyubiqui
https://en.wikipedia.org/wiki/Name%20of%20Romania
The name of Romania (România) comes from the Romanian Român, which is a derivative of the Latin adjective Romanus (Roman). Romanians are a people living in Central and South-Eastern Europe speaking a Romance language. Etymology of the ethnonym Romanian (român) During the transition from Vulgar Latin to Romanian, there were some phonetical changes that modified romanus into român or rumân. The accusative form romanum was retained. ending "-m" dropped (occurred in all Romance languages) ending "-u" dropped (regular change; in Old Romanian was however still present) "a" → "â" (regular change; vowels before nasal stops turned into "â"/"î") "o" → "u" (regular change; however, in some regions of Romania, the variant with "o" was kept) A reference to the name Romanian could be contained in the Nibelungenlied (written between 1180 and 1210), where a "Duke Ramunc of Walachia,/with seven hundred vassals, galloped up before her/like flying wild birds men saw them ride". It is argued that "Ramunc" could describe a symbolic figure, representing Romanians. In a document issued about the same period (1190 ?) by King Béla III of Hungary, a count Narad was mentioned as having fought "against the fury of the Bulgarians and ". Hungarian historian Imre Nagy believed to be a mistranscription of , which would be in reference to Romanians in the then recent uprising of the Bulgarians and Vlachs. However, the idea that refers to Romanians is disputed; Hungarian historian Imre Szentpétery, wh
https://en.wikipedia.org/wiki/EMA
Ema or EMA may refer to: Biology and medicine Anti-Endomysial Antibodies test Epithelial membrane antigen European Medicines Agency, a European Union agency for the evaluation of medicinal products European Medical Association, association representing Medical Doctors in Europe Emergency Medicine Australasia, a scholarly journal Education Eastern Military Academy, a defunct school in Connecticut Education Maintenance Allowance, a financial scheme for students in Scotland, Wales and Northern Ireland Escuela Mexicana Americana, a school in Mexico City Engineering, science and technology Effective medium approximations, modeling that describes the macroscopic properties of composite materials Electromagnetic articulography, a method of measuring the position of parts of the mouth Exponential moving average Electromechanical actuator Government Emergency Management Agency Emergency Management Australia, an agency of the Australian Government Energy Market Authority, a regulatory body in Singapore Ethiopian Mapping Authority Emergency Mobile Alert, New Zealand's nationwide mobile public warning system Euro-Mediterranean Association for Cooperation and Development, a German international co-operation organization Media and entertainment Egmont Manga & Anime, a German manga publishing company Ema (film), a 2019 Chilean drama film Entertainment Merchants Association, an international trade association Environmental Media Association, an American enviro
https://en.wikipedia.org/wiki/Yamaha%20TX81Z
The Yamaha TX81Z is a rack-mounted (keyboard-less) frequency modulation (FM) music synthesizer, released in 1987. It is also known as a keyboard-less Yamaha DX11 (and the subsequent Yamaha V50 (music workstation)). Unlike previous FM synthesizers of the era, the TX81Z was the first to offer a range of oscillator waveforms other than just sine waves, conferring the new timbres of some of its patches when compared to older, sine-only FM synths. The TX81Z has developed a famous reputation, largely based on some of its preset bass sounds. The Yamaha DX11 keyboard synth was released the following year, offering improved editing abilities. Features The unit is multitimbral, and has 128 ROM voices, 32 editable voice slots, and 24 editable Performance memories. The RAM slots were rarely utilized due to the perceived high quality and usability of the original patches and the difficulty of programming new sounds with the limited front-panel interface. Among the presets is the famous LatelyBass, one of the most popular presets in synthesizer history. The TX81Z is backwards-compatible with sound patches developed for Yamaha's DX21, DX27, and DX100 synthesizers. It is also very similar, and almost completely patch-compatible, to the DX11 synthesizer, which is essentially a TX81Z with a velocity and pressure-sensing keyboard and a pitch envelope. Usage Some say the prevalence of the TX81Z's presets was also because of the difficulty in creating new patches. Creating new sounds from t
https://en.wikipedia.org/wiki/Abel%20polynomials
The Abel polynomials are a sequence of polynomials named after Niels Henrik Abel, defined by the following equation: This polynomial sequence is of binomial type: conversely, every polynomial sequence of binomial type may be obtained from the Abel sequence using umbral calculus. Examples For , the polynomials are For , the polynomials are References External links Polynomials
https://en.wikipedia.org/wiki/Olivia%20MFSK
Olivia MFSK is an amateur radioteletype protocol, using multiple frequency-shift keying (MFSK) and designed to work in difficult (low signal-to-noise ratio plus multipath propagation) conditions on shortwave bands. The signal can be accurately received even if the surrounding noise is 10 dB stronger. It is commonly used by amateur radio operators to reliably transmit ASCII characters over noisy channels using the high frequency (3–30 MHz) spectrum. The effective data rate of the Olivia MFSK protocol is 150 characters/minute. Olivia modes are commonly referred to as Olivia X / Y (or, alternatively, Olivia Y / X ), where X refers to the number of different audio tones transmitted and Y refers to the bandwidth in hertz over which these signals are spread. Examples of common Olivia modes are 16/500, 32/1000 and 8/250. History The protocol was developed at the end of 2003 by Pawel Jalocha. The first on-the-air tests were performed by two radio amateurs, Fred OH/DK4ZC and Les VK2DSG, on the Europe-Australia path in the 20-meter amateur band. The tests proved that the protocol works well and can allow regular intercontinental radio contacts with as little as one watt RF power. Since 2005 Olivia has become a standard for digital data transfer under white noise, fading and multipath, flutter (polar path) and auroral conditions. Voluntary channelization Since Olivia signals can be decoded even when received signals are extremely weak, (signal-to-noise ratio of −14 dB), signals st
https://en.wikipedia.org/wiki/Keith%20R.%20Thompson
Keith Thompson (1951 - 2022) was a professor at Dalhousie University with a joint appointment in the Department of Oceanography and the Department of Mathematics and Statistics. Thompson was trained in the UK and obtained his Ph.D. from the University of Liverpool in 1979. His research interests focused on ocean and shelf circulation, 4D data assimilation, extremal analysis and applied time series analysis. Prof. Thompson was awarded a Tier I Canada Research Chair in Marine Prediction and Environmental Statistics. The Canada Research Chairs Program is part of a national strategy to make Canada one of the world’s top five countries for research and development. Chair holders are recognized leaders in their fields and are selected in order to advance the frontiers of knowledge, not only through research, but also by teaching and supervising students and coordinating the work of other researchers. Prof. Thompson has been awarded a Tier I chair, which is the highest level. (For more information on the Canada Research Chairs program see http://www.chairs.gc.ca/). Prof. Thompson was also awarded the President’s Prize of the Canadian Oceanographic and Meteorological Society in 1990, and Reviewer of the Year by the same organization. He has written over 50 scientific publications and sits on international committees including the Coastal Ocean Observations Panel of the Global Ocean Observing System. Thompson was awarded the J.P. Tully Medal in Oceanography from the Canadian
https://en.wikipedia.org/wiki/Systemic%20primary%20carnitine%20deficiency
Systemic primary carnitine deficiency (SPCD) is an inborn error of fatty acid transport caused by a defect in the transporter responsible for moving carnitine across the plasma membrane. Carnitine is an important amino acid for fatty acid metabolism. When carnitine cannot be transported into tissues, fatty acid oxidation is impaired, leading to a variety of symptoms such as chronic muscle weakness, cardiomyopathy, hypoglycemia and liver dysfunction. The specific transporter involved with SPCD is OCTN2, coded for by the SLC22A5 gene located on chromosome 5. SPCD is inherited in an autosomal recessive manner, with mutated alleles coming from both parents. Acute episodes due to SPCD are often preceded by metabolic stress such as extended fasting, infections or vomiting. Cardiomyopathy can develop in the absence of an acute episode, and can result in death. SPCD leads to increased carnitine excretion in the urine and low levels in plasma. In most locations with expanded newborn screening, SPCD can be identified and treated shortly after birth. Treatment with high doses of carnitine supplementation is effective, but needs to be rigorously maintained for life. Signs and symptoms The presentation of patient with SPCD can be incredibly varied, from asymptomatic to lethal cardiac manifestations. Early cases were reported with liver dysfunction, muscular findings (weakness and underdevelopment), hypoketotic hypoglycemia, cardiomegaly, cardiomyopathy and marked carnitine defic