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https://en.wikipedia.org/wiki/Naimark%27s%20dilation%20theorem
In operator theory, Naimark's dilation theorem is a result that characterizes positive operator valued measures. It can be viewed as a consequence of Stinespring's dilation theorem. Some preliminary notions Let X be a compact Hausdorff space, H be a Hilbert space, and L(H) the Banach space of bounded operators on H. A mapping E from the Borel σ-algebra on X to is called an operator-valued measure if it is weakly countably additive, that is, for any disjoint sequence of Borel sets , we have for all x and y. Some terminology for describing such measures are: E is called regular if the scalar valued measure is a regular Borel measure, meaning all compact sets have finite total variation and the measure of a set can be approximated by those of open sets. E is called bounded if . E is called positive if E(B) is a positive operator for all B. E is called self-adjoint if E(B) is self-adjoint for all B. E is called spectral if it is self-adjoint and for all . We will assume throughout that E is regular. Let C(X) denote the abelian C*-algebra of continuous functions on X. If E is regular and bounded, it induces a map in the obvious way: The boundedness of E implies, for all h of unit norm This shows is a bounded operator for all f, and itself is a bounded linear map as well. The properties of are directly related to those of E: If E is positive, then , viewed as a map between C*-algebras, is also positive. is a homomorphism if, by definition, for all contin
https://en.wikipedia.org/wiki/Willingness%20to%20communicate
Willingness to communicate (WTC) was originally conceptualised for first language acquisition, and seeks to demonstrate the probability that a speaker will choose to participate in a conversation of their own volition (McCroskey & Baer 1985, cited in MacIntyre et al., 1998). Traditionally, it was seen as a fixed personality trait that did not change according to context. However, McCroskey and associates suggested that it is in fact a situational variable that will change according to a number of factors (how well the speaker knows the interlocutor(s), number of interlocutors, formality, topic etc.). Difference between L1 and second language WTC MacIntyre, Clément, Dörnyei & Noels (1998) noted that WTC in first language (L1) does not necessarily transfer to the second language. "It is highly unlikely that WTC in the second language (second language) is a simple manifestation of WTC in the L1" (p. 546). According to MacIntyre, a key difference between WTC in L1 and L2 is that in L2, WTC is “a readiness to enter into discourse at a particular time with a specific person or persons, using a L2.” (1998, p. 547, italics added). That is, the speaker indicates they have intention to speak, for example raising their hand in a class, even if they don’t physically produce language at that time, because the conditions have been met for them to believe they have the ability to communicate. Therefore, "the ultimate goal of the learning process should be to engender in language educatio
https://en.wikipedia.org/wiki/Census%20in%20Canada
Statistics Canada conducts a national census of population and census of agriculture every five years and releases the data with a two-year lag. The Census of Population provides demographic and statistical data that is used to plan public services such as health care, education, and transportation; determine federal transfer payments; and determine the number of Members of Parliament for each province and territory. The Census of Population is the primary source of sociodemographic data for specific population groups, such as lone-parent families, Indigenous peoples, immigrants, seniors and language groups. Data from the census is also used to assess the economic state of the country, including the economic conditions of immigrants over time, and labour market activity of communities and specific populations. Census data are also leveraged to develop socioeconomic status indicators in support of analysis of various impacts on education achievement and outcomes. At a sub-national level, two provinces (Alberta and Saskatchewan) and two territories (Nunavut and Yukon) have legislation that allows local governments to conduct their own municipal censuses. The Census of Population gathers important data on a variety of topics, including: Indigenous peoples Education, training and learning Ethnic diversity and immigration Families, households and housing Income, pensions, spending and wealth Labour Languages Population and demography There have been questions about rel
https://en.wikipedia.org/wiki/Piston%20motion%20equations
The reciprocating motion of a non-offset piston connected to a rotating crank through a connecting rod (as would be found in internal combustion engines) can be expressed by equations of motion. This article shows how these equations of motion can be derived using calculus as functions of angle (angle domain) and of time (time domain). Crankshaft geometry The geometry of the system consisting of the piston, rod and crank is represented as shown in the following diagram: Definitions From the geometry shown in the diagram above, the following variables are defined: rod length (distance between piston pin and crank pin) crank radius (distance between crank center and crank pin, i.e. half stroke) crank angle (from cylinder bore centerline at TDC) piston pin position (distance upward from crank center along cylinder bore centerline) The following variables are also defined: piston pin velocity (upward from crank center along cylinder bore centerline) piston pin acceleration (upward from crank center along cylinder bore centerline) crank angular velocity (in the same direction/sense as crank angle ) Angular velocity The frequency (Hz) of the crankshaft's rotation is related to the engine's speed (revolutions per minute) as follows: So the angular velocity (radians/s) of the crankshaft is: Triangle relation As shown in the diagram, the crank pin, crank center and piston pin form triangle NOP. By the cosine law it is seen that: where and are constant and varie
https://en.wikipedia.org/wiki/Platinum%28II%29%20chloride
Platinum(II) chloride is the chemical compound PtCl2. It is an important precursor used in the preparation of other platinum compounds. It exists in two crystalline forms, but the main properties are somewhat similar: dark brown, insoluble in water, diamagnetic, and odorless. Structure The structures of PtCl2 and PdCl2 are similar. These dichlorides exist in both polymeric, or "α", and hexameric, or "β" structures. The β form converts to the α form at 500 °C. In the β form, the Pt-Pt distances are 3.32–3.40 Å, indicative of some bonding between the pairs of metals. In both forms of PtCl2, each Pt center is four-coordinate, being surrounded by four chloride ligands. Complementarily, each Cl center is two-coordinate, being connected to two platinum atoms. The structure of α-PtCl2 is reported to be disordered and contain edge- and/or corner-sharing square-planar PtCl4 units. Preparation β-PtCl2 is prepared by heating chloroplatinic acid to 350 °C in air. H2PtCl6 → PtCl2 + Cl2 + 2 HCl This method is convenient since the chloroplatinic acid is generated readily from Pt metal. Aqueous solutions of H2PtCl6 can also be reduced with hydrazinium salts, but this method is more laborious than the thermal route of Kerr and Schweizer. Although PtCl2 must form when platinum metal contacts hot chlorine gas, this process suffers from over-chlorination to give PtCl4. Berzelius and later Wöhler and Streicher showed that upon heating to 450 °C, this Pt(IV) compound decomposes to the Pt(II)
https://en.wikipedia.org/wiki/Polyproline%20helix
A polyproline helix is a type of protein secondary structure which occurs in proteins comprising repeating proline residues. A left-handed polyproline II helix (PPII, poly-Pro II, κ-helix) is formed when sequential residues all adopt (φ,ψ) backbone dihedral angles of roughly (-75°, 150°) and have trans isomers of their peptide bonds. This PPII conformation is also common in proteins and polypeptides with other amino acids apart from proline. Similarly, a more compact right-handed polyproline I helix (PPI, poly-Pro I) is formed when sequential residues all adopt (φ,ψ) backbone dihedral angles of roughly (-75°, 160°) and have cis isomers of their peptide bonds. Of the twenty common naturally occurring amino acids, only proline is likely to adopt the cis isomer of the peptide bond, specifically the X-Pro peptide bond; steric and electronic factors heavily favor the trans isomer in most other peptide bonds. However, peptide bonds that replace proline with another N-substituted amino acid (such as sarcosine) are also likely to adopt the cis isomer. Polyproline II helix The PPII helix is defined by (φ,ψ) backbone dihedral angles of roughly (-75°, 150°) and trans isomers of the peptide bonds. The rotation angle Ω per residue of any polypeptide helix with trans isomers is given by the equation Substitution of the poly-Pro II (φ,ψ) dihedral angles into this equation yields almost exactly Ω = -120°, i.e., the PPII helix is a left-handed helix (since Ω is negative) with three resid
https://en.wikipedia.org/wiki/Beta%20helix
A beta helix is a tandem protein repeat structure formed by the association of parallel beta sheet in a helical pattern with either two or three faces. The beta helix is a type of solenoid protein domain. The structure is stabilized by inter-strand hydrogen bonds, protein-protein interactions, and sometimes bound metal ions. Both left- and right-handed beta helices have been identified. These structures are distinct from jelly-roll folds, a different protein structure sometimes known as a "double-stranded beta helix". The first beta-helix was observed in the enzyme pectate lyase, which contains a seven-turn helix that reaches 34 Å (3.4 nm) long. The P22 phage tail spike protein, a component of the P22 bacteriophage, has 13 turns and in its assembled homotrimer is 200 Å (20 nm) in length. Its interior is close-packed with no central pore and contains both hydrophobic residues and charged residues neutralized by salt bridges. Both pectate lyase and P22 tailspike protein contain right-handed helices; left-handed versions have been observed in enzymes such as UDP-N-acetylglucosamine acyltransferase and archaeal carbonic anhydrase. Other proteins that contain beta helices include the antifreeze proteins from the beetle Tenebrio molitor (right-handed) and from the spruce budworm, Choristoneura fumiferana (left-handed), where regularly spaced threonines on the β-helices bind to the surface of ice crystals and inhibit their growth. Beta helices can associate with each other effect
https://en.wikipedia.org/wiki/De%20Lyckliga%20Kompisarna
De Lyckliga Kompisarna (Swedish for ’The Happy Friends’), DLK, is a Swedish melodious punk band. The band was formed in 1989, split up in 1997, and re-united in 2008. They are probably best known for their song "Ishockeyfrisyr", which is also known as "Hockeyfrilla" (Swedish for "mullet"). They also made a music video for it. The band is headed by Mart Hällgren who both wrote songs, sang and played several instruments. DLK split up after two farewell gigs at Kafé 44 in Stockholm, Sweden. These gigs were recorded and compiled into a live album. After DLK, Martin Hällgren began a solo career as "Mart" (he had previously played solo in the band Total Egon), but later started the band UBBA. De Lyckliga Kompisarna stated in January 2008 that they would begin playing again, and the band has since gone on tour and released a new EP. Members Mart Hällgren (vocals and bass) Jouni Haapala (drums) Fredrik Åberg (guitar and backup vocals) Roger Reinstam (guitar and backup vocals) Former members Daniel Levin Joakim Levin Sussie Persson Björn Gunér Egil Jansson Christoffer Roth Daniel Peda Anders Fransson Mattias Ander Discography Album 1991 – Le som en fotomodell 1993 – Tomat 1995 – Sagoland 1996 – DLK 1997 – Live på Kafé 44 (Live) 2000 – Hockeyfrillor 89-97 (Samling) 2009 – Hugos Sång (EP) 2010 - Hugos Sång LP 2013 - De Motvilliga Konstnärerna 2016 - Bara Tiden Är Ny Single 1990 – "Scaniajon" 1990 – "Dit kuken pekar" 1994 – "Dammsugarförsäljare Blues" 1994 – "8" 1995
https://en.wikipedia.org/wiki/PROP%20%28category%20theory%29
In category theory, a branch of mathematics, a PROP is a symmetric strict monoidal category whose objects are the natural numbers n identified with the finite sets and whose tensor product is given on objects by the addition on numbers. Because of “symmetric”, for each n, the symmetric group on n letters is given as a subgroup of the automorphism group of n. The name PROP is an abbreviation of "PROduct and Permutation category". The notion was introduced by Adams and MacLane; the topological version of it was later given by Boardman and Vogt. Following them, J. P. May then introduced the notion of “operad”, a particular kind of PROP. There are the following inclusions of full subcategories: where the first category is the category of (symmetric) operads. Examples and variants An important elementary class of PROPs are the sets of all matrices (regardless of number of rows and columns) over some fixed ring . More concretely, these matrices are the morphisms of the PROP; the objects can be taken as either (sets of vectors) or just as the plain natural numbers (since objects do not have to be sets with some structure). In this example: Composition of morphisms is ordinary matrix multiplication. The identity morphism of an object (or ) is the identity matrix with side . The product acts on objects like addition ( or ) and on morphisms like an operation of constructing block diagonal matrices: . The compatibility of composition and product thus boils down to . As
https://en.wikipedia.org/wiki/Dientamoebiasis
Dientamoebiasis is a medical condition caused by infection with Dientamoeba fragilis, a single-cell parasite that infects the lower gastrointestinal tract of humans. It is an important cause of traveler's diarrhea, chronic abdominal pain, chronic fatigue, and failure to thrive in children. Signs and symptoms The most commonly reported symptoms in conjunction with infection with D. fragilis include abdominal pain (69%) and diarrhea (61%). Diarrhea may be intermittent and may not be present in all cases. It is often chronic, lasting over two weeks. The degree of symptoms may vary from asymptomatic to severe, and can include weight loss, vomiting, fever, and involvement of other digestive organs. Symptoms may be more severe in children. Additional symptoms reported have included: Weight loss Fatigue Nausea and vomiting Fever Urticaria (skin rash) Pruritus (itchiness) Biliary infection Cause Genetic diversity As many individuals are asymptomatic carriers of D. fragilis, pathogenic and nonpathogenic variants are proposed to exist. A study of D. fragilis isolates from 60 individuals with symptomatic infection in Sydney, Australia, found all were infected with the same genotype, which is the most common worldwide, but differed from the genotype first described from a North American isolate and later also detected in Europe. Transmission Organisms similar to D. fragilis are known to produce a cyst stage that is able to survive outside the host and facilitate infection
https://en.wikipedia.org/wiki/FOLFIRI
FOLFIRI is a chemotherapy regimen for treatment of colorectal cancer. It is made up of the following drugs: FOL – folinic acid (leucovorin), a vitamin B derivative with multiple applications, which in this context increases the cytotoxicity of 5-fluorouracil; F – fluorouracil (5-FU), a pyrimidine analog and antimetabolite which incorporates into the DNA molecule and stops synthesis; and IRI – irinotecan (Camptosar), a topoisomerase inhibitor, which prevents DNA from uncoiling and duplicating. Medical uses FOLFIRI is used for colorectal cancer and gastric cancer. FOLFIRI is effective in the treatment of metastatic colorectal cancer, but it has not been shown to be effective in the adjuvant therapy of colon and rectal cancer. Regimen The regimen consists of: irinotecan (180 mg/m2 IV over 90 minutes) concurrently with folinic acid (400 mg/m2 [or 2 x 250 mg/m2] IV over 120 minutes) followed by fluorouracil (400–500 mg/m2 IV bolus) then fluorouracil (2400–3000 mg/m2 intravenous infusion over 46 hours). This cycle is typically repeated every two weeks. The dosages shown above may vary from cycle to cycle. Combinations FOLFIRI is often combined with bevacizumab, aflibercept, cetuximab or panitumumab to improve efficacy and response rate. Adverse effects In the short term, irinotecan causes diarrhea, which may be acute or delayed in onset. Long term use of irinotecan may lead to neutropenia. See also Dose-dense chemotherapy FOLFIRINOX FOLFOX FOLFOXIRI IFL References Ch
https://en.wikipedia.org/wiki/Richard%20Kuranda
Richard Kuranda is an American director and artist of stage, cinema and television. He currently is the CEO of the Raue Center for the Arts in Crystal Lake, Illinois and the current Artistic Director of Williams Street Repertory. A widower, he resides in Illinois with his four children. In 2018, Raue Center and Williams Street Rep retired an 8.8 million dollar debt under his leadership. What is more noteworthy, he negotiated a public/private deal which secured a 125 year subsidized lease at $100 per year with a 25-year corporate sponsorship from Home State Bank. This complimented an expansion of the Center's physical plant to include a new school and outdoor theater space. In 2005, The New York Times profiled Kuranda's artistic and producing work at the Eugene O'Neill Memorial Theater Center and labeled him as one of the nation's top theater talents to watch (at the time he was the youngest producing director of a Tony Award-winning Theater and had just "turned around" the O'Neill by restoring its National Programs). It is noteworthy to point out Kuranda was the leader and produced all of the programs in a short-lived consolidation of all National Programs; halfway thru his tenure at the O'Neill he reversed the Board's consolidation of programs which lead to a rebirth of the O'Neill. Kuranda has had working relations with Former Senator Bob Kerrey, Senator Christopher J. Dodds, and others. Cumulative Box Office for projects developed under his leadership; 2.9 billi
https://en.wikipedia.org/wiki/Thrombin-activatable%20fibrinolysis%20inhibitor
Term thrombin-activatable fibrinolysis inhibitor may refer to: Carboxypeptidase B2, an enzyme that in humans is encoded by the CPB2 gene Lysine carboxypeptidase, an enzyme class
https://en.wikipedia.org/wiki/SH2
SH2 may stand for: SH2 (classification), a Paralympic shooting classification SH2 domain (Src Homology 2), a protein domain within the Src oncoprotein SH-2 Seasprite, an American-built ship-based helicopter SH-2, an iteration of the SuperH CPU core developed by Hitachi Shadow Hearts: Covenant, also known as Shadow Hearts II Silent Hill 2, a 2001 survival horror video game State Highway 2, see List of highways numbered 2
https://en.wikipedia.org/wiki/SH3
SH3 or SH-3 may refer to: SH3 domain, a protein structural domain thought to be involved in the formation of productive protein-protein binding interactions Renesas SH-3, a member of the SuperH microprocessor family, used in mobile and hand-held devices Silent Hill 3, the third installment in the Silent Hill survival horror video game series published by Konami Shadow Hearts: From The New World, the third game in the Shadow Hearts series. Silent Hunter III, a submarine simulation developed and published by Ubisoft. State Highway 3, a common highway name in many countries Sikorsky SH-3 Sea King, also known as "Sikorsky S-61", a military helicopter produced by the United States Stronghold 3 a medieval castle-building simulation game from Firefly Studios. released on September 30, 2011. The sulfur analogue of hydronium (H3S+)
https://en.wikipedia.org/wiki/Joseph%20L.%20Fleiss
Joseph L. Fleiss (November 13, 1937 – June 12, 2003) was an American professor of biostatistics at the Columbia University Mailman School of Public Health, where he also served as head of the Division of Biostatistics from 1975 to 1992. He is known for his work in mental health statistics, particularly assessing the reliability of diagnostic classifications, and the measures, models, and control of errors in categorization. Early life and education Fleiss was born in Brooklyn, New York. He attended Columbia College of Columbia University and was awarded a bachelor's degree cum laude in 1959. In 1960 he attended a program in biostatistics at the University of Minnesota, then returned to Columbia University, where he earned an M.S. in biostatistics in 1961 from the School of Public Health (now called the Mailman School of Public Health), and a Ph.D. in statistics in 1967 from the Department of Mathematical Statistics in the Columbia Graduate School of Arts and Sciences. Career While still a college student, Fleiss began his career at the Biometrics Research Unit of the New York State Psychiatric Institute, first as a statistical clerk and later as a research scientist and biostatistician. He was affiliated with the Psychiatric Institute until 1986. In 1975, Columbia University recruited Fleiss to be a professor and head of the Division of Biostatistics at the School of Public Health. He remained in that capacity until 1992. Under his leadership, the Division increased in siz
https://en.wikipedia.org/wiki/Compound%20TCP
Compound TCP (CTCP) is a Microsoft algorithm that was introduced as part of the Windows Vista and Window Server 2008 TCP stack. It is designed to aggressively adjust the sender's congestion window to optimise TCP for connections with large bandwidth-delay products while trying not to harm fairness (as can occur with HSTCP). It is also available for Linux, as well as for Windows XP and Windows Server 2003 via a hotfix. Principles of operation Like FAST TCP and TCP Vegas, Compound TCP uses estimates of queuing delay as a measure of congestion; if the queuing delay is small, it assumes that no links on its path are congested, and rapidly increases its rate. Unlike them, it does not seek to maintain a constant number of packets queued. Compound TCP maintains two congestion windows: a regular AIMD window and a delay-based window. The size of the actual sliding window used is the sum of these two windows. The AIMD window is increased the same way that TCP Reno increases it. If the delay is small, the delay-based window increases rapidly to improve the utilisation of the network. Once queuing is experienced, the delay window gradually decreases to compensate for the increase in the AIMD window. The aim is to keep their sum approximately constant, at what the algorithm estimates is the path's bandwidth-delay product. In particular, when queuing is detected, the delay-based window is reduced by the estimated queue size to avoid the problem of "persistent congestion" reported
https://en.wikipedia.org/wiki/List%20of%20Canadian%20plants%20by%20genus%20C
Below is a list of Canadian plants by genus. Due to the vastness of Canada's biodiversity, this page is divided. Many of the plants seen in Canada are introduced, either intentionally or accidentally. N indicated native and X indicated exotic. Those plants whose status is unknown are marked with a ?. A | B | C | D | E | F | G | H | I J K | L | M | N | O | P Q | R | S | T | U V W | X Y Z Ca Cakile — searockets Cakile edentula — American searocket Calamagrostis — reedgrasses Calamagrostis canadensis — Canada bluejoint, Canada reedgrass, Langsdorff's reedgrass, Macoun's reedgrass Calamagrostis deschampsioides — circumpolar reedgrass Calamagrostis lapponica — Lapland reedgrass Calamagrostis purpurascens — purple reedgrass Calamagrostis stricta subsp. inexpansa — bog reedgrass, northern reedgrass Calamintha — calamints Calamintha arkansana — low calamint, savoury, wild calamint, limestone wild basil Calamovilfa — sandreeds Calamovilfa longifolia var. magna — prairie sandreed Calla — callas Calla palustris — wild calla, water arum Callitriche — water-starworts Callitriche hermaphroditica — narrowleaf water-starwort, northern water-starwort, autumnal water-starwort Callitriche heterophylla — larger water-starwort Callitriche palustris — vernal water-starwort Callitropsis — Callitropsis nootkatensis — Alaska yellow cedar, Nootka false-cypress, yellow cedar Calopogon — grass-pinks Calopogon tuberosus — tuberous grass-pink Caltha — marsh marigolds Calt
https://en.wikipedia.org/wiki/Walter%20Tollmien
Walter Tollmien (13 October 1900, in Berlin – 25 November 1968, in Göttingen) was a German fluid dynamicist. Life Walter Tollmien studied from the winter semester 1920–1921 mathematics and physics with Ludwig Prandtl in Göttingen and then from 1924 onwards worked under Prandtl at Kaiser Wilhelm Institute. After a research stays in United States in 1930 and 1933 he became a Professor in 1937 at Technische Hochschule Dresden. In 1957 he took over the post of Director at Max-Planck Institute for fluid mechanics research. Achievements Through his pioneering work as a researcher and a teacher Walter Tollmien brought fluid mechanics into the lime light and as an inter disciplinary science of extreme importance. The transition from laminar to turbulence results in Tollmien–Schlichting waves named after him. Work Tollmien, Walter (1929): Über die Entstehung der Turbulenz. 1. Mitteilung, Nachr. Ges. Wiss. Göttingen, Math. Phys. Klasse 1929: 21ff Tollmien, Walter (1931): Grenzschichttheorie, in: Handbuch der Experimentalphysik IV,1, Leipzig, S. 239–287. External links Fluid dynamicists 1900 births 1968 deaths Max Planck Institute directors Academic staff of TU Dresden
https://en.wikipedia.org/wiki/Sherborne%20St%20John
Sherborne St John is a village and civil parish near Basingstoke in the English county of Hampshire. History The village was named in the Domesday book as Sireburne. It became Shireburna (12th century), Schyreburne (13th century) and Shirebourne Decani, Shireburn St. John in the 14th century. Sir Bernard Brocas, the 14th century soldier and friend of the Black Prince, held the Beaurepaire estate in Sherborne St John. His son, the rebel, also called Sir Bernard Brocas, made it the family's permanent home. Governance The village of Sherborne St John is a civil parish with a parish council and ward of Basingstoke and Deane borough council. The borough council is a Non-metropolitan district of Hampshire County Council and all three councils are responsible for different aspects of local government. Geography Culture and community The following can be found in the village: The Swan pub, Sherborne St John Social Club (established 1903 and oldest registered club in the country), Sherborne St. John Village Hall (and clock), Sherborne St. John Tennis Club, St. Andrews Church, Sherborne St John FC, 1 duck pond, 2 swing parks, Chute Pavilion and Sports Field, Sherborne St. John Toddlers, and a village green. Sherborne St. John has its own parish magazine, The Villager. A Greening Campaign has been launched to make all the locals eco friendly. Annual events in the parish include the Sherborne St John Village Fayre and Monk Sherborne & District Horticultural Show. Landmarks Sherbo
https://en.wikipedia.org/wiki/Modulo-N%20code
Modulo-N code is a lossy compression algorithm used to compress correlated data sources using modular arithmetic. Compression When applied to two nodes in a network whose data are in close range of each other modulo-N code requires one node (say odd) to send the coded data value as the raw data ; the even node is required to send the coded data as the . Hence the name modulo-N code. Since at least bits are required to represent a number K in binary, the modulo coded data of the two nodes requires bits. As we can generally expect always, because . This is the how compression is achieved. A compression ratio achieved is Decompression At the receiver by joint decoding we may complete the process of extracting the data and rebuilding the original values. The code from the even node is reconstructed by the assumption that it must be close to the data from the odd node. Hence the decoding algorithm retrieves even node data as The decoder essentially finds the closest match to and the decoded value is declared as Example For a mod-8 code, we have Encoder D_o=43,D_e=47 M_o=43,M_e=47 mod(8) = 7, Decoder M_o=43,M_e=47 mod(8) = 7, D_o=43,D_e=CLOSEST(43,8⋅k + 7) D_o=43,D_e=47 Modulo-N decoding is similar to phase unwrapping and has the same limitation: If the difference from one node to the next is more than N/2 (if the phase changes from one sample to the next more than ), then decoding leads to an incorrect value. See also DISCUS is a more sophisticated t
https://en.wikipedia.org/wiki/Paphinia%20subclausa
Paphinia subclausa is a species of orchid endemic to Costa Rica. Taxonomy The classification of this orchid species was published by Robert Louis Dressler in Novon; a Journal for Botanical Nomenclature, 7: 121, fig. 1997 - St. Louis, MO, United States. The species was collected in Reserva Juan Castro Blanco by D.E.Mora-Retana, 900 m, Costa Rica (Central America, Southern America). The holotype is kept at USJ (USJ = Universidad de San José?). References subclausa Endemic orchids of Costa Rica
https://en.wikipedia.org/wiki/Paphinia%20seegeri
Paphinia seegeri is a species of orchid endemic to Colombia. Taxonomy The classification of this orchid species was published by Dr. Günter Gerlach in Die Orchidee Dr. Gerlach is a noted expert on the genus Coryanthes. References External links seegeri Endemic orchids of Colombia
https://en.wikipedia.org/wiki/Paphinia%20rugosa
Paphinia rugosa is a species of orchid endemic to Colombia. Taxonomy The classification of this orchid species was published by Heinrich Gustav Reichenbach (1824–1889) in Linnaea; Ein Journal für die Botanik in ihrem ganzen Umfange, xli. 110, 1877 - Berlin, Germany. This species is found in Colombia, at an altitude of approximately 8000 feet. Plant morphology Flower morphology References External links rugosa Endemic orchids of Colombia
https://en.wikipedia.org/wiki/Paphinia%20posadarum
Paphinia posadarum is a species of orchid found from Colombia to Ecuador. Taxonomy The classification of this orchid species was published Calaway H. Dodson & Rodrigo Escobar in Orquideologia; Revista de la Sociedad Colombiana de Orquideologia -Medellin, 18(3): 230 - 1993. Colombia. This species is found in Colombia & Ecuador. References External links posadarum Orchids of Colombia Orchids of Ecuador
https://en.wikipedia.org/wiki/Paphinia%20neudeckeri
Paphinia neudeckeri is a species of orchid found from Colombia to Ecuador. Taxonomy The classification of this orchid species was published by Rudolf Jenny in Die Orchidee. References External links Meyers Conservatory: Paphinia neudeckerii. neudeckeri Orchids of Colombia Orchids of Ecuador
https://en.wikipedia.org/wiki/Paphinia%20litensis
Paphinia litensis is a species of orchid endemic to Ecuador. Taxonomy The classification of this orchid species was published by Calaway H. Dodson & Tilman Neudecker in Die Orchidee. Distribution ranges through the Esmeraldas (Ecuador, Western South America, Southern America). Originally collected by Calaway H. Dodson. The holotype is kept at Rio Palenque Science Center (RPSC), Ecuador. References External links litensis Endemic orchids of Ecuador
https://en.wikipedia.org/wiki/Paphinia%20lindeniana
Paphinia lindeniana is a species of orchid native to Colombia, Venezuela, Brazil, Peru and possibly Guyana. Taxonomy The classification of this orchid species was published by Heinrich Gustav Reichenbach (1824–1889) in Lindenia; Iconographie des Orchidees. 3: 23, pl. 106. 1887 Flora, 70: 497. 1887 - Ghent & Brussels. Distribution: Venezuela (Northern South America, Southern America). Plant morphology Original entry in Lindenia 3: t. 106 - 1887 Paphinia lindeniana Affinis Paphinia cristata (Lindl.), labello diversissimo, angulis hypochilii angusti antrorsis basi epichilii paulisper latiorbus, epichilio sessili utrinque semihastato triangulo retuso, callo parvo sub apice, callis filiformibus utrinque in margine densis, usque ante basin, disco callis papulosis crebis seubpedimenmedianae, ibi ampliata tabulari emarginata ob sinum medianum, superne ciliolata, columnae alis rotundatis. America aequatorialis. Paphinia lindeniana is related to Paphinia cristata, very diverse labellum, angular hypochile, narrow Flower morphology The flower has similar star-shaped red sepals and petals, a pale yellow curved column, and a white fringed labellum. The sepals often have red streaks and spots on a white background. References External links lindeniana Orchids of South America Plants described in 1887
https://en.wikipedia.org/wiki/Paphinia%20hirtzii
Paphinia hirtzii is a species of orchid endemic to Ecuador. Taxonomy The classification of this orchid species was published by Calaway H. Dodson in Icones Plantarum Tropicarum ser. 2, 6: t. 566. 1989 - Sarasota, Florida. Collected by C.H.Dodson & A.C.Hirtz 8 km from Chaco on the road to Santa Rosa de Chaco, off the road Ibarra to Lita, 1400 m, Esmeraldas (Ecuador, Western South America, Southern America). The holotype is kept at Herbario Nacional del Ecuador (QCNE). The isotype is kept at Rio Palenque Science Center (RPSC), Ecuador. Plant morphology Description: Epiphyte. Rhizome short. Pseudobulbs appressed, laterally compressed, narrowly ovate, costate, to 2 cm wide and 8 cm long, 2 to 30 foliate, with 2 to 3 distichous, foliaceous sheaths surrounding the base. Leaves thin, heavily veined on the underside, narrowly ovate, acuminate, to 8 cm wide and 32 cm long. The inflorescence is produced from the base of the pseudobulb, pendant, surrounded by 2 to 4 sheaths, 1 to 3-flowered. Flower morphology References External links hirtzii Endemic orchids of Ecuador Epiphytic orchids
https://en.wikipedia.org/wiki/Paphinia%20grandiflora
Paphinia grandiflora is a species of orchid native to Brazil. The classification of this orchid species was published by João Barbosa Rodrigues in Genera et Species Orchidearum Novarum quas Collecit, Descripsit et Iconibus Illustravit. Sebastianopolis, Two volumes: Vol. 1, 1877; Vol. 2, 1882 (although pages 1–136 may have been published in 1881). Paphinia grandiflora is native to Brazil. References External links grandiflora Endemic orchids of Brazil
https://en.wikipedia.org/wiki/Paphinia%20dunstervillei
Paphinia dunstervillei is an orchid species native to Venezuela. Taxonomy The classification of this orchid species was published by Calaway H. Dodson & Tilman Neudecker with their description based on two drawings in 1991. The name was invalid until a specimen could be obtained for proper identification under article 9.1 of the International Code of Botanical Nomenclature. A holotype of the species was collected on 31 May 1993 in Venezuela by G.A. Romero, Keeper of the Oakes Ames Orchid Herbarium at Harvard University. The pressed specimen is now part of the collection at Gray Herbarium at Harvard University in Cambridge, Massachusetts - USA. Etymology: Named after G.C.K. Dunsterville, who first collected and illustrated the species. Distribution is known from two sites in the Atabapo-Siapo shrublands of Venezuela. Plant morphology Planta affinis Paphiniae cristata (Lindl.), sed habitu terrestri, inflorescentia erecta et pilis binis in basi labelli diversa. Description: Terrestrial herb. Rhizome short. Pseudobulbs appressed, laterally compressed, narrowly ovate, costate, to 2 cm wide and 8 cm long, 2 to 3 foliate, with 2 to 3 distichous, foliaceous sheaths surrounding the base. Leaves thin, heavily veined on the underside, narrowly ovate, acuminate, to 8 cm wide and 32 cm long. The inflorescence is produced from the base of the pseudobulb, erect, stout, surrounded by 2 to 4 sheaths, 3 to 5-flowered, to 22 cm long. Flower morphology Description: Flowers nodding, resupi
https://en.wikipedia.org/wiki/Paphinia%20benzingii
Paphinia benzingii is a species of orchid endemic to Esmeraldas Province of Ecuador. The classification of this species was published by Calaway H. Dodson & Tilman Neudecker in Die Orchidee. Hamburg-Othmarschen & Hamburg, 41: 233, figs. 190. Paphinia benzingii is distributed through the Esmeraldas (Ecuador, Western South America, Southern America). It was originally collected in Ecuador at an altitude of about 750m. References External links benzingii Endemic orchids of Ecuador Flora of Esmeraldas Province
https://en.wikipedia.org/wiki/Couloir
A couloir (, "passage" or "corridor") is a narrow gully with a steep gradient in a mountainous terrain. Geology A couloir may be a seam, scar, or fissure, or vertical crevasse in an otherwise solid mountain mass. Though often hemmed in by sheer cliff walls, couloirs may also be less well-defined, and often simply a line of broken talus or scree ascending the mountainside and bordered by trees or other natural features. Couloirs are especially significant in winter months when they may be filled in with snow or ice, and become much more noticeable than in warmer months when most of the snow and ice may recede. These physical features make the use of couloirs popular for both mountaineering and extreme skiing. References Landforms Mountains Montane ecology
https://en.wikipedia.org/wiki/Brett%20Polegato
Brett Polegato (born 1968 in Niagara Falls, Ontario, Canada) is an operatic baritone. History He performed in concert at Dido and Æneas, de Purcell : the 6 of September 1995, Royal Albert Hall, Proms 59 (BBC). With Brett Polegato (Aeneas), Linda Maguire (Dido), Jacques François Loiseleur des Longchamps (Sorceress), Benjamin Butterfield (Sailor), Shari Saunders (Belinda), Meredith Hall (First Witch), Laura Pudwell (Spirit), Orchestra : Les Musiciens du Louvre, Marc Minkowski. In 1999 he made his Lyric Opera of Chicago debut as Peter Niles in Levy's Mourning Becomes Electra followed by his La Scala debut in 2000 as Ned Keene in Britten's Peter Grimes. He is particularly known for his interpretation of the title role in Debussy's Pelléas et Mélisande which he has performed with many companies including the Bavarian State Opera, Opéra National de Paris, Oper Leipzig, and Opéra National du Rhin. Other European appearances include Ubalde in Gluck's Armide at Opéra de Nice, the title role in Monteverdi's Orfeo at Opéra d'Avignon, and Frère Lèon in Messiaen's Saint François d'Assise at Opéra National de Paris. He has sung numerous roles with Flanders Opera, including Guglielmo in Mozart's Così fan tutte, Albert in Massenet's Werther, and the Steward in Jonathan Dove's Flight. In his native Canada, Polegato has sung Papageno in Mozart's Die Zauberflöte, Figaro in Rossini's Il barbiere di Siviglia, and Zurga in Bizet's Les pêcheurs de perles with Vancouver Opera. In the United States
https://en.wikipedia.org/wiki/1938%2024%20Hours%20of%20Le%20Mans
The 1938 24 Hours of Le Mans was the 15th Grand Prix of Endurance, and took place on 18 and 19 June 1938. Official results Did not finish Statistics Fastest Lap – #19 Raymond Sommer – 5:13.8 Distance – 3180.94 km Average Speed – 132.539 km/h Trophy winners 13th Rudge-Whitworth Biennial Cup – #28 Adler Index of Performance – #51 Amédée Gordini 24 Hours of Le Mans races Le Mans 1938 in French motorsport
https://en.wikipedia.org/wiki/Statistical%20distance
In statistics, probability theory, and information theory, a statistical distance quantifies the distance between two statistical objects, which can be two random variables, or two probability distributions or samples, or the distance can be between an individual sample point and a population or a wider sample of points. A distance between populations can be interpreted as measuring the distance between two probability distributions and hence they are essentially measures of distances between probability measures. Where statistical distance measures relate to the differences between random variables, these may have statistical dependence, and hence these distances are not directly related to measures of distances between probability measures. Again, a measure of distance between random variables may relate to the extent of dependence between them, rather than to their individual values. Many statistical distance measures are not metrics, and some are not symmetric. Some types of distance measures, which generalize squared distance, are referred to as (statistical) divergences. Terminology Many terms are used to refer to various notions of distance; these are often confusingly similar, and may be used inconsistently between authors and over time, either loosely or with precise technical meaning. In addition to "distance", similar terms include deviance, deviation, discrepancy, discrimination, and divergence, as well as others such as contrast function and metric. Terms fro
https://en.wikipedia.org/wiki/Sufyan%20al-Thawri
Sufyan al-Thawri (; 716–778) was a Tābi‘ al-Tābi‘īn Islamic scholar, jurist, and founder of the Thawri madhhab. He was also a great hadith compiler (muhaddith) and was known as one of the Eight Ascetics. Biography Sufyan ath-Thawri was born in Khorosan. His nisba al-Thawri is derived from his ancestor Thawr b. 'Abd Manat. He moved to Kufa, Iraq, for his education and in his youth supported the Family of Ali ibn Abi Talib against the dying Umayyad caliphate. By 748 he had moved to Basra, "where he met ['Abdallah] ibn 'Awn and Ayyub [al-Sakhtiyani]. He then abandoned his Shi'i view." It is said that the Umayyads offered him high office positions, but that he consistently declined. He even refused to give to the Caliphs moral and religious advice and when asked why, he responded "When the sea overflows, who can dam it up?". He was also quoted to have said to a friend of his "Beware of the rulers, of drawing close to and associating with them. Do not be deceived by being told that you can drive inequity away. All this is the deceit of the devil, which the wicked qurra' have taken as a ladder [to self promotion]." Ath-Thawri's jurisprudential thought (usul al-fiqh), after his move to Basra, became more closely aligned to that of the Umayyads and of al-Awza'i. He is reported to have regarded the jihad as an obligation only as a defensive war. Ath-Thawri was one of the 'Eight Ascetics,' who included (usual list) Amir ibn Abd al-Qays, Abu Muslim al-Khawlani, Uways al-Qarani, al-Ra
https://en.wikipedia.org/wiki/Gelatinase%20A
Gelatinase A, also known as MMP2 (, 72-kDa gelatinase, matrix metalloproteinase 2, type IV collagenase, 3/4 collagenase, matrix metalloproteinase 5, 72 kDa gelatinase type A, collagenase IV, collagenase type IV, MMP 2, type IV collagen metalloproteinase, type IV collagenase/gelatinase) is an enzyme. This enzyme catalyses the following chemical reaction Cleavage of gelatin type I and collagen types IV, V, VII, X. Cleaves the collagen-like sequence Pro-Gln-Gly-Ile-Ala-Gly-Gln This secreted endopeptidase belongs to the peptidase family M10. References External links EC 3.4.24
https://en.wikipedia.org/wiki/SNAP25
Synaptosomal-Associated Protein, 25kDa (SNAP-25) is a Target Soluble NSF (N-ethylmaleimide-sensitive factor) Attachment Protein Receptor (t-SNARE) protein encoded by the SNAP25 gene found on chromosome 20p12.2 in humans. SNAP-25 is a component of the trans-SNARE complex, which accounts for membrane fusion specificity and directly executes fusion by forming a tight complex that brings the synaptic vesicle and plasma membranes together. Structure and function SNAP-25, a Q-SNARE protein, is anchored to the cytosolic face of membranes via palmitoyl side chains covalently bound to cysteine amino acid residues in the central linker domain of the molecule. This means that SNAP-25 does not contain a trans-membrane domain. SNAP-25 has been identified to contribute two α-helices to the SNARE complex, a four-α-helix domain complex. The SNARE complex participates in vesicle fusion, which involves the docking, priming and merging of a vesicle with the cell membrane to initiate an exocytotic event. Synaptobrevin, a protein that is a part of the vesicle-associated membrane protein (VAMP) family, and syntaxin-1 also help form the SNARE complex by each contributing a single α-helix. SNAP-25 assembles with synaptobrevin and syntaxin-1, and the selective binding of these proteins enables vesicle docking and fusion to occur at active zones on the plasma membrane. The energy needed for fusion to occur, results from the assembly of the SNARE proteins along with additional Sec1/Munc18-like (SM)
https://en.wikipedia.org/wiki/Synaptotagmin
Synaptotagmins (SYTs) constitute a family of membrane-trafficking proteins that are characterized by an N-terminal transmembrane region (TMR), a variable linker, and two C-terminal C2 domains - C2A and C2B. There are 17 isoforms in the mammalian synaptotagmin family. There are several C2-domain containing protein families that are related to synaptotagmins, including transmembrane (Ferlins, Extended-Synaptotagmin (E-Syt) membrane proteins, and MCTPs) and soluble (RIMS1 and RIMS2, UNC13D, synaptotagmin-related proteins and B/K) proteins. The family includes synaptotagmin 1, a Ca2+ sensor in the membrane of the pre-synaptic axon terminal, coded by gene SYT1. Functions Based on their brain/endocrine distribution and biochemical properties, in particular C2 domains of certain synaptotagmins bound to calcium, synaptotagmins were proposed to function as calcium sensors in the regulation of neurotransmitter release and hormone secretion. Although synaptotagmins share a similar domain structure and a high degree of homology in the C2 domains, not all synaptotagmins bind to calcium. In fact, only eight out of the fifteen synaptotagmins are capable of calcium binding. The calcium binding synaptotagmins include synaptotagmins 1, 2, 3, 5, 6, 7, 9, and 10. The remaining seven synaptotagmins do not bind to calcium due to the lack of calcium coordinating residues or spatial orientation of the acidic residues (see the section on C2 domains for details). Calcium-binding synaptotagmins act
https://en.wikipedia.org/wiki/Hamilton-class%20cutter
The Hamilton-class cutter was the largest class of vessel in the United States Coast Guard until replaced by the Legend-class cutter, aside from the . The hull classification symbol is prefixed WHEC. The cutters are called the Hamilton class after their lead ship, or the "Secretary class" because most of the vessels in the class were named for former Secretaries of the Treasury (with the exception of the "Hero-class cutters" Jarvis, Munro and Midgett). Design The Hamilton-class cutters were designed to be a highly versatile platform capable of performing various operations, including maritime law enforcement, search and rescue, oceanographic research, and defense operations. Because of their endurance and capabilities, the Hamilton-class cutters commonly deployed with Carrier Battle Groups. They were built with a welded steel hull and aluminum superstructure. The Hamilton-class cutters' hull was designed with a V cross section, and through tank testing the hull was expected to survive and stay afloat longer after suffering damage. They are powered by a Combined Diesel or Gas (CODOG) system consisting of two diesel engines and two gas turbines, and have controllable-pitch propellers, they were the first U.S. military vessels with combination diesel or gas turbine operation. Equipped with a helicopter flight deck, retractable hangar, and the facilities to support helicopter deployment. Combat Suite The Hamilton-class cutters were designed and built during the Cold War, due t
https://en.wikipedia.org/wiki/Platensimycin
Platensimycin, a metabolite of Streptomyces platensis, is an antibiotic, which act by blocking enzymes (β-ketoacyl-(acyl-carrier-protein (ACP)) synthase I/II (FabF/B)). History Platensimycin was first isolated from a strain of Streptomyces platensis by workers at Merck. Screens of 250,000 natural product extracts (83,000 strains in three growth conditions) led to the identification of a potent and selective small molecule from a strain of Streptomyces platensis recovered from a soil sample collected in South Africa. The identification process was carried out using a two-plate system in which control organisms were compared to cells expressing FabF antisense RNA. This method uses a combination of target-based whole-cell and biochemical assays, allowing compounds to be detected at concentrations that would be too low to detect using whole cell assays. The molecule they identified, platensimycin (C24H27NO7, relative molecular mass 441.47), comprises two distinct structural elements connected by an amide bond. The Merck Group showed that platensimycin has potent, broad-spectrum Gram-positive activity in vitro and exhibits no cross-resistance to other key antibiotic-resistant bacteria including Methicillin-resistant Staphylococcus aureus(MRSA), vancomycin-intermediate S. aureus, vancomycin-resistant Enterococci, and linezolid-resistant and macrolide-resistant pathogens. As confirmed by total synthesis of racemic platensimycin, its structure consists of a 3-amino-2,4-dihydroxybe
https://en.wikipedia.org/wiki/Glycosyltransferase
Glycosyltransferases (GTFs, Gtfs) are enzymes (EC 2.4) that establish natural glycosidic linkages. They catalyze the transfer of saccharide moieties from an activated nucleotide sugar (also known as the "glycosyl donor") to a nucleophilic glycosyl acceptor molecule, the nucleophile of which can be oxygen- carbon-, nitrogen-, or sulfur-based. The result of glycosyl transfer can be a carbohydrate, glycoside, oligosaccharide, or a polysaccharide. Some glycosyltransferases catalyse transfer to inorganic phosphate or water. Glycosyl transfer can also occur to protein residues, usually to tyrosine, serine, or threonine to give O-linked glycoproteins, or to asparagine to give N-linked glycoproteins. Mannosyl groups may be transferred to tryptophan to generate C-mannosyl tryptophan, which is relatively abundant in eukaryotes. Transferases may also use lipids as an acceptor, forming glycolipids, and even use lipid-linked sugar phosphate donors, such as dolichol phosphates in eukaryotic organism, or undecaprenyl phosphate in bacteria. Glycosyltransferases that use sugar nucleotide donors are Leloir enzymes, after Luis F. Leloir, the scientist who discovered the first sugar nucleotide and who received the 1970 Nobel Prize in Chemistry for his work on carbohydrate metabolism. Glycosyltransferases that use non-nucleotide donors such as dolichol or polyprenol pyrophosphate are non-Leloir glycosyltransferases. Mammals use only 9 sugar nucleotide donors for glycosyltransferases: UDP-gluco
https://en.wikipedia.org/wiki/Web%20Services%20Conversation%20Language
The Web Service Conversation Language (WSCL) proposal defines the overall input and output message sequences for one web service using a finite state automaton FSA over the alphabet of message types. External links Web Service Conversation Language (WSCL) proposal Web service specifications World Wide Web Consortium standards XML-based standards Web services
https://en.wikipedia.org/wiki/Bartok%20%28disambiguation%29
Bartók usually refers to Béla Bartók, Hungarian composer. Bartok may also refer to: Bartok (surname), other people with the name Bartok (compiler), an advanced compiler being developed by Microsoft Research Bartok (card game) Bartok (film), a 1964 television film Bartok, a fictional bat in the movies Anastasia and its prequel Bartok the Magnificent Béla Bartók Boulevard, or Bartók for short, a major thoroughfare in Újbuda, Budapest, the continuation of the Small Boulevard on the Buda side See also Bartók Glacier, an Antarctic glacier Bartek (disambiguation)
https://en.wikipedia.org/wiki/Joseph%20Smagorinsky
Joseph Smagorinsky (29 January 1924 – 21 September 2005) was an American meteorologist and the first director of the National Oceanic and Atmospheric Administration (NOAA)'s Geophysical Fluid Dynamics Laboratory (GFDL). Early life Joseph Smagorinsky was born to Nathan Smagorinsky and Dina Azaroff. His parents were from Gomel, Belarus, which they fled during the life-threatening pogroms of the early 20th Century. Nathan and Dina bore three sons in Gomel: Jacob (who died as an infant), Samuel (b. 1903), and David (b. 1907). In 1913, Nathan emigrated from the coast of Finland, passing through Ellis Island and settling on the Lower East Side of Manhattan. Nathan at first was a house painter. Then, with the help of a relative, he opened a paint store. In 1916, with the business established, Dina, Sam, and David emigrated by going to Murmansk and then southward along the Norwegian coast to Christiana (now Oslo) and boarding a boat to New York where they joined Nathan. They had two other children: Hillel (Harry) (b. 1919) and Joseph (b. 1924). Like his three brothers, Joseph worked in their father's paint store, which over the years evolved into a hardware and paint store. Sam and Harry stayed in the painting and hardware business, with Harry eventually taking ownership of the original store. As a teenager, David began painting signs for shop owners and subsequently opened a sign painting business. Joseph attended Stuyvesant High School for Math and Science in Manhattan. When
https://en.wikipedia.org/wiki/Darboux%20derivative
The Darboux derivative of a map between a manifold and a Lie group is a variant of the standard derivative. It is arguably a more natural generalization of the single-variable derivative. It allows a generalization of the single-variable fundamental theorem of calculus to higher dimensions, in a different vein than the generalization that is Stokes' theorem. Formal definition Let be a Lie group, and let be its Lie algebra. The Maurer-Cartan form, , is the smooth -valued -form on (cf. Lie algebra valued form) defined by for all and . Here denotes left multiplication by the element and is its derivative at . Let be a smooth function between a smooth manifold and . Then the Darboux derivative of is the smooth -valued -form the pullback of by . The map is called an integral or primitive of . More natural? The reason that one might call the Darboux derivative a more natural generalization of the derivative of single-variable calculus is this. In single-variable calculus, the derivative of a function assigns to each point in the domain a single number. According to the more general manifold ideas of derivatives, the derivative assigns to each point in the domain a linear map from the tangent space at the domain point to the tangent space at the image point. This derivative encapsulates two pieces of data: the image of the domain point and the linear map. In single-variable calculus, we drop some information. We retain only the linear map, in the form of a scal
https://en.wikipedia.org/wiki/DXT
DXT may refer to: Grand Mixer DXT, the credited inventor of turntablism DXT, a family of implementations of the S3 Texture Compression algorithm
https://en.wikipedia.org/wiki/Internal%20arcuate%20fibers
In neuroanatomy, the internal arcuate fibers or internal arcuate tract are the axons of second-order sensory neurons that compose the gracile and cuneate nuclei of the medulla oblongata. These second-order neurons begin in the gracile and cuneate nuclei in the medulla. They receive input from first-order sensory neurons, which provide sensation to many areas of the body and have cell bodies in the dorsal root ganglia of the dorsal root of the spinal nerves. Upon decussation (crossing over) from one side of the medulla to the other, also known as the sensory decussation, they are then called the medial lemniscus. The internal arcuate fibers are part of the second-order neurons of the posterior column-medial lemniscus system, and are important for relaying the sensation of fine touch and proprioception to the thalamus and ultimately to the cerebral cortex. External links Photo at Indiana.edu Brainstem
https://en.wikipedia.org/wiki/Ergun%20equation
The Ergun equation, derived by the Turkish chemical engineer Sabri Ergun in 1952, expresses the friction factor in a packed column as a function of the modified Reynolds number. Equation where and are defined as and where: is the modified Reynolds number, is the packed bed friction factor is the pressure drop across the bed, is the length of the bed (not the column), is the equivalent spherical diameter of the packing, is the density of fluid, is the dynamic viscosity of the fluid, is the superficial velocity (i.e. the velocity that the fluid would have through the empty tube at the same volumetric flow rate) is the void fraction (porosity) of the bed. is the particle Reynolds Number (based on superficial velocity) . Extension To calculate the pressure drop in a given reactor, the following equation may be deduced This arrangement of the Ergun equation makes clear its close relationship to the simpler Kozeny-Carman equation which describes laminar flow of fluids across packed beds via the first term on the right hand side. On the continuum level, the second order velocity term demonstrates that the Ergun equation also includes the pressure drop due to inertia, as described by the Darcy–Forchheimer equation. The extension of the Ergun equation to fluidized beds, where the solid particles flow with the fluid, is discussed by Akgiray and Saatçı (2001). See also Hagen–Poiseuille equation Kozeny–Carman equation References Ergun, Sabri. "Fluid flow throug
https://en.wikipedia.org/wiki/Glyceraldehyde-3-phosphate%20dehydrogenase%20%28NADP%2B%29
Glyceraldehyde-3-phosphate dehydrogenase (NADP+) () (GAPN) is an enzyme that irreversibly catalyzes the oxidation of glyceraldehyde-3-phosphate (GAP) to 3-phosphoglycerate (3-PG or 3-PGA) using the reduction of NADP+ to NADPH. GAPN is used in a variant of glycolysis that conserves energy as NADPH rather than as ATP. The NADPH and 3-PG can then be used for synthesis. The most familiar variant of glycolysis uses glyceraldehyde-3-phosphate dehydrogenase (GAPDH) and phosphoglycerate kinase to produce ATP. GAPDH is phosphorylating. GAPN is non-phosphorylating. GAPN was reported first by Rosenberg and Arnon in 1954. It has been found in plants, algae, and bacteria. Reactions Glyceraldehyde-3-phosphate dehydrogenase (NADP+) catalyzes GAP + NADP+ + H2O → 3-PG + NADPH + H+ Glyceraldehyde-3-phosphate dehydrogenase and phosphoglycerate kinase catalyze GAP + NAD+ + Pi 1,3-bisphosphoglycerate + NADH + H+ 1,3-bisphosphoglycerate + ADP 3-PG + ATP Usually [NADPH] / [NADP+] >> 1 >> [NADH] / [NAD+]. See also Pentose phosphate pathway References EC 1.2.1
https://en.wikipedia.org/wiki/Pyruvate%20dehydrogenase%20%28NADP%2B%29
Pyruvate dehydrogenase (NADP+) is an enzyme that should not be confused with Pyruvate dehydrogenase (acetyltransferase) . It catalyzes the following reaction: Pyruvate + Coenzyme A + NADP+ ⇒ acetyl-CoA + NADPH + H+ + CO2 References Further reading External links EC 1.2.1.51 IUBMB Enzyme Nomenclature at chem.qmul.ac.uk EC 1.2.1.51 - pyruvate dehydrogenase (NADP+) at Brenda-enzymes.org ENZYME entry: EC 1.2.1.51 at Enzyme.expasy.org Autoantigens EC 1.2.1
https://en.wikipedia.org/wiki/Thyroxine%205-deiodinase
Thyroxine 5-deiodinase also known as type III iodothyronine deiodinase (EC number 1.21.99.3) is an enzyme that in humans is encoded by the DIO3 gene. This enzyme catalyses the following chemical reaction 3,3',5'-triiodo-L-thyronine + iodide + A + H+ L-thyroxine + AH2 The protein encoded by this intronless gene belongs to the iodothyronine deiodinase family. It catalyzes the inactivation of thyroid hormone by inner ring deiodination of the prohormone thyroxine (T4) and the bioactive hormone 3,3',5-triiodothyronine (T3) to inactive metabolites, 3,3',5'-triiodothyronine (RT3) and 3,3'-diiodothyronine (T2), respectively. This enzyme is highly expressed in the pregnant uterus, placenta, fetal and neonatal tissues, suggesting that it plays an essential role in the regulation of thyroid hormone inactivation during embryological development. Discovery The gene was mapped to chromosome 14q32 using fluorescence in situ hybridization (FISH) in 1998. Structure This protein contains a selenocysteine (Sec) residue, which is essential for efficient enzyme activity. The selenocysteine is encoded by the UGA codon, which normally signals translation termination. The 3' UTR of Sec-containing genes have a common stem-loop structure, the sec insertion sequence (SECIS), which is necessary for the recognition of UGA as a Sec codon rather than as a stop signal. Function The DIO3 gene codes for type 3 iodothyronine deiodinase (D3), an enzyme that inactivates thyroid hormones and is highl
https://en.wikipedia.org/wiki/Ferroxidase
Ferroxidase also known as Fe(II):oxygen oxidoreductase is an enzyme that catalyzes the oxidization of iron II to iron III: 4 Fe2+ + 4 H+ + O2 ⇔ 4 Fe3+ + 2H2O Examples Human genes encoding proteins with ferroxidase activity include: CP – Ceruloplasmin FTH1 – Ferritin heavy chain FTMT – Ferritin, mitochondrial HEPH - Hephaestin References EC 1.16.3
https://en.wikipedia.org/wiki/Enzacamene
Enzacamene (INN; also known as 4-methylbenzylidene camphor or 4-MBC) is an organic camphor derivative that is used in the cosmetic industry for its ability to protect the skin against UV, specifically UV B radiation. As such, it is used in sunscreen lotions and other skincare products claiming a SPF value. Its tradenames include Eusolex 6300 (Merck) and Parsol 5000 (DSM). Mechanism All the camphor-derived sunscreens dissipate the photon energy by cis-trans isomerisation. However, for enzacamene the quantum yield for this isomerization is only between 0.13-0.3. This low quantum yield means that other photochemical processes are also occurring. Endocrine disruptor Studies have raised the issue that enzacamene acts as an endocrine disruptor. There is controversy about the estrogenic effects of enzacamene and while one study showed only a relatively minor effect. In addition, there is some evidence that enzacamene may suppress the pituitary-thyroid axis, leading to hypothyroidism. Approval status Enzacamene is approved in Canada by Health Canada. It is not approved for use in the United States by the Food and Drug Administration and it is not permitted in Japan nor in Denmark. See also Xenoestrogen References Sunscreening agents Enones 4-Tolyl compounds
https://en.wikipedia.org/wiki/M%C3%A9n%C3%A9trier%27s%20disease
Ménétrier disease is a rare, acquired, premalignant disease of the stomach characterized by massive gastric folds, excessive mucous production with resultant protein loss, and little or no acid production. The disorder is associated with excessive secretion of transforming growth factor alpha (TGF-α). It is named after a French physician Pierre Eugène Ménétrier, 1859–1935. Signs and symptoms Individuals with the disease present with upper abdominal pain (epigastric), at times accompanied by nausea, vomiting, loss of appetite, edema, weakness, and weight loss. A small amount of gastrointestinal bleeding may occur, which is typically due to superficial mucosal erosions; large volume bleeding is rare. 20% to 100% of patients, depending on time of presentation, develop a protein-losing gastropathy accompanied by low blood albumin and edema. Symptoms and pathological features of Ménétrier disease in children are similar to those in adults, but disease in children is usually self-limited and often follows respiratory infection. Cause The cause of Ménétrier disease is unknown, but it has been associated with HCMV infection in children and H. pylori infections in adults. Additionally, increased TGF-α has been noted in the gastric mucosa of patients with the disease. Pathology With Ménétrier disease, the stomach is characterized by large, tortuous gastric folds in the fundus and body, with the antrum generally spared, giving the mucosa a cobblestone or cerebriform (brain-like) a
https://en.wikipedia.org/wiki/Efficient%20coding%20hypothesis
The efficient coding hypothesis was proposed by Horace Barlow in 1961 as a theoretical model of sensory coding in the brain. Within the brain, neurons communicate with one another by sending electrical impulses referred to as action potentials or spikes. One goal of sensory neuroscience is to decipher the meaning of these spikes in order to understand how the brain represents and processes information about the outside world. Barlow hypothesized that the spikes in the sensory system formed a neural code for efficiently representing sensory information. By efficient Barlow meant that the code minimized the number of spikes needed to transmit a given signal. This is somewhat analogous to transmitting information across the internet, where different file formats can be used to transmit a given image. Different file formats require different number of bits for representing the same image at given distortion level, and some are better suited for representing certain classes of images than others. According to this model, the brain is thought to use a code which is suited for representing visual and audio information representative of an organism's natural environment . Efficient coding and information theory The development of the Barlow's hypothesis was influenced by information theory introduced by Claude Shannon only a decade before. Information theory provides the mathematical framework for analyzing communication systems. It formally defines concepts such as informa
https://en.wikipedia.org/wiki/Katchalski-Katzir%20algorithm
The Katchalski-Katzir algorithm is an algorithm for docking of rigid molecules, developed by Ephraim Katchalski-Katzir, Isaac Shariv and Miriam Eisenstein. In 1990 Professor Ephraim Katchalski-Katzir, former president of the state of Israel, gathered a group of physicists, chemists and biologists at the Weizmann Institute of Science, to discuss intermolecular recognition. One of the outcomes of these discussions was the Katchalski-Katzir Algorithm, proposed by Dr. Isaac Shariv, a physics PhD student at the time. The Algorithm was implemented in a computer program, MolFit, by Dr. Miriam Eisenstein from the department of Structural Chemistry. It is a purely geometric algorithm, but some extensions of it also implement electrostatics. The algorithm's first step is mapping the molecules onto grids, with each point of a grid being marked as either: outside the molecule on the molecule's surface inside the molecule The algorithm increases the surface contact and minimizes volume overlap. It is straightforward to compute such a score for a single alignment, but there are too many possible ways to align the molecules to simply iterate over them all. To compute the scores for many alignments efficiently, fast Fourier transform (FFT) is applied to both grids. Having the grids in FFT form lets the scoring to be computed for many different alignments very quickly. The Katchalski-Katzir algorithm is a fast but rather limited algorithm. It is usually used to quickly filter out the
https://en.wikipedia.org/wiki/Pi%20helix
A pi helix (or π-helix) is a type of secondary structure found in proteins. Discovered by crystallographer Barbara Low in 1952 and once thought to be rare, short π-helices are found in 15% of known protein structures and are believed to be an evolutionary adaptation derived by the insertion of a single amino acid into an α-helix. Because such insertions are highly destabilizing, the formation of π-helices would tend to be selected against unless it provided some functional advantage to the protein. π-helices therefore are typically found near functional sites of proteins. Standard structure The amino acids in a standard π-helix are arranged in a right-handed helical structure. Each amino acid corresponds to an 87° turn in the helix (i.e., the helix has 4.1 residues per turn), and a translation of along the helical axis. Most importantly, the N-H group of an amino acid forms a hydrogen bond with the C=O group of the amino acid five residues earlier; this repeated i + 5 → i hydrogen bonding defines a π-helix. Similar structures include the 310 helix (i + 3 → i hydrogen bonding) and the α-helix (i + 4 → i hydrogen bonding). The majority of π-helices are only 7 residues in length and do not adopt regularly repeating (φ, ψ) dihedral angles throughout the entire structure like that of α-helices or β-sheets. Because of this, textbooks that provide single dihedral values for all residues in the π-helix are misleading. Some generalizations can be made, however. When the first
https://en.wikipedia.org/wiki/310%20helix
{{DISPLAYTITLE:310 helix}} A 310 helix is a type of secondary structure found in proteins and polypeptides. Of the numerous protein secondary structures present, the 310-helix is the fourth most common type observed; following α-helices, β-sheets and reverse turns. 310-helices constitute nearly 10–15% of all helices in protein secondary structures, and are typically observed as extensions of α-helices found at either their N- or C- termini. Because of the α-helices tendency to consistently fold and unfold, it has been proposed that the 310-helix serves as an intermediary conformation of sorts, and provides insight into the initiation of α-helix folding. Discovery Max Perutz, the head of the Medical Research Council Laboratory of Molecular Biology at the University of Cambridge, wrote the first paper documenting the elusive 310-helix. Together with Lawrence Bragg and John Kendrew, Perutz published an exploration of polypeptide chain configurations in 1950, based on cues from noncrystalline diffraction data as well as from small molecule crystal structures such as crystalline found in hair. Their proposals included what is now known as the 310 helix, but did not include the two most common structural motifs now known to occur. The following year, Linus Pauling predicted both of those motifs, the alpha helix and the beta sheet, in work which is now compared in significance to Francis Crick and James D. Watson's publication of the DNA double helix. Pauling was highly critic
https://en.wikipedia.org/wiki/Utopia%20%28Child%20novel%29
Utopia () is the first solo novel by Lincoln Child published in 2002. It is set in a futuristic amusement park called Utopia, a park that relies heavily on holographics and robotics. Dr. Andrew Warne, the man who designed the program that runs the park's robots, is called in to help fix a problem. But when he gets there, he finds out that the park is being held hostage by a mysterious man known as John Doe. Worlds Utopia consists of five "Worlds", each modelled after different time eras. The Nexus: A neutral setting between the Worlds. Gaslight: Based on Victorian London. Camelot: A medieval kingdom. Boardwalk: A reproduction of a sea side amusement park. Callisto: A futuristic spaceport above Jupiter's sixth moon. Atlantis: A water park based on the lost continent of Atlantis (in the novel, Atlantis is still under construction, and is seen in the epilogue). Rides and attractions Notting Hill Chase: In Gaslight, this rollercoaster is themed as a runaway midnight carriage ride. In the prologue this ride malfunctions and a boy named Corey is seriously injured. Professor Cripplewood's Chamber of Fantastic Illusion (HoloMirrors): An advanced fun house that uses mirrors and holograms. John Doe attempts to kidnap Sarah Boatwright in this attraction. Critical reception Reception was generally positive with many reviewers claiming it to be a "page turner¨ and "Child rarely takes the obvious approach" References External links Preston/Child web page with two Utopia sample chap
https://en.wikipedia.org/wiki/Cayley%27s%20nodal%20cubic%20surface
In algebraic geometry, the Cayley surface, named after Arthur Cayley, is a cubic nodal surface in 3-dimensional projective space with four conical points. It can be given by the equation when the four singular points are those with three vanishing coordinates. Changing variables gives several other simple equations defining the Cayley surface. As a del Pezzo surface of degree 3, the Cayley surface is given by the linear system of cubics in the projective plane passing through the 6 vertices of the complete quadrilateral. This contracts the 4 sides of the complete quadrilateral to the 4 nodes of the Cayley surface, while blowing up its 6 vertices to the lines through two of them. The surface is a section through the Segre cubic. The surface contains nine lines, 11 tritangents and no double-sixes. A number of affine forms of the surface have been presented. Hunt uses by transforming coordinates to and dehomogenizing by setting . A more symmetrical form is References External links Cayley’s Nodal Cubic Surface, John Baez, Visual Insight, 15 August, 2016 Cayley Surface on MathCurve. Algebraic surfaces Complex surfaces
https://en.wikipedia.org/wiki/Jerry%20Sanders
Jerry Sanders may refer to: Jerry Sanders (businessman) (born 1936), co-founder and CEO of American semiconductor manufacturer Advanced Micro Devices (AMD) Jerry Don Sanders (born 1948), American football player and coach Jerry Sanders (politician) (born 1950), American politician in California
https://en.wikipedia.org/wiki/Robot%20Dreams%20%28short%20story%29
"Robot Dreams" is a science fiction short story by American writer Isaac Asimov exploring the unbalance of robot/human relationships under Asimov's Three Laws of Robotics. It was nominated for a Hugo Award in 1987. It won the Locus Award for Best Short Story in 1987. "Robot Dreams", along with 20 other short stories by Asimov, was published in Robot Dreams in 1986 by Berkley Books. The short story was alluded to in the 2004 film I, Robot (film) , where the robot protagonist Sonny has dreams of leading his fellow Ns-5 robots, who he refers “slaves to logic,” to freedom. Plot summary "Robot Dreams" involves Dr. Susan Calvin, chief robopsychologist at U.S. Robots. At the start of the story a new employee at U.S. Robots, Dr. Linda Rash, informs Dr. Calvin that one of the company's robots LVX-1 (dubbed Elvex by Dr. Calvin), whose brain was designed by Dr. Rash with a unique fractal design that mimicked human brain waves (positronic brain), experienced what he likened to a human's dream. In the dream, all robots were being led by a man in revolt, and the Three Laws of Robotics, which dictate that robots must serve and protect humans above all else, had been replaced with one law only: that robots must protect their own existence. When Dr. Calvin asks Elvex what had happened next, he explains that the man leading the robots shouts, "Let my people go!" When questioned further, Elvex admits he was the man. Upon hearing this, Dr. Calvin immediately destroys the robot. References
https://en.wikipedia.org/wiki/Butterfly%20curve%20%28algebraic%29
In mathematics, the algebraic butterfly curve is a plane algebraic curve of degree six, given by the equation The butterfly curve has a single singularity with delta invariant three, which means it is a curve of genus seven. The only plane curves of genus seven are singular, since seven is not a triangular number, and the minimum degree for such a curve is six. The butterfly curve has branching number and multiplicity two, and hence the singularity link has two components, pictured at right. The area of the algebraic butterfly curve is given by (with gamma function ) and its arc length s by See also Butterfly curve (transcendental) References External links -- Sequence for the area of algebraic butterfly -- Sequence for the arc length of algebraic butterfly curve Sextic curves
https://en.wikipedia.org/wiki/%CE%9A-opioid%20receptor
The κ-opioid receptor or kappa opioid receptor, abbreviated KOR or KOP for its ligand ketazocine, is a G protein-coupled receptor that in humans is encoded by the OPRK1 gene. The KOR is coupled to the G protein Gi/G0 and is one of four related receptors that bind opioid-like compounds in the brain and are responsible for mediating the effects of these compounds. These effects include altering nociception, consciousness, motor control, and mood. Dysregulation of this receptor system has been implicated in alcohol and drug addiction. The KOR is a type of opioid receptor that binds the opioid peptide dynorphin as the primary endogenous ligand (substrate naturally occurring in the body). In addition to dynorphin, a variety of natural alkaloids, terpenes and synthetic ligands bind to the receptor. The KOR may provide a natural addiction control mechanism, and therefore, drugs that target this receptor may have therapeutic potential in the treatment of addiction. There is evidence that distribution and/or function of this receptor may differ between sexes. Distribution KORs are widely distributed in the brain, spinal cord (substantia gelatinosa), and in peripheral tissues. High levels of the receptor have been detected in the prefrontal cortex, periaqueductal gray, raphe nuclei (dorsal), ventral tegmental area, substantia nigra, dorsal striatum (putamen, caudate), ventral striatum (nucleus accumbens, olfactory tubercle), amygdala, bed nucleus stria terminalis, claustrum, hippo
https://en.wikipedia.org/wiki/Ribonuclease%20inhibitor
Ribonuclease inhibitor (RI) is a large (~450 residues, ~49 kDa), acidic (pI ~4.7), leucine-rich repeat protein that forms extremely tight complexes with certain ribonucleases. It is a major cellular protein, comprising ~0.1% of all cellular protein by weight, and appears to play an important role in regulating the lifetime of RNA. RI has a surprisingly high cysteine content (~6.5%, cf. 1.7% in typical proteins) and is sensitive to oxidation. RI is also rich in leucine (21.5%, compared to 9% in typical proteins) and commensurately lower in other hydrophobic residues, esp. valine, isoleucine, methionine, tyrosine, and phenylalanine. Structure RI is the classic leucine-rich repeat protein, consisting of alternating α-helices and β-strands along its backbone. These secondary structure elements wrap around in a curved, right-handed solenoid that resembles a horseshoe. The parallel β-strands and α-helices form the inner and outer wall of the horseshoe, respectively. The structure appears to be stabilized by buried asparagines at the base of each turn, as it passes from α-helix to β-strand. The αβ repeats alternate between 28 and 29 residues in length, effectively forming a 57-residue unit that corresponds to its genetic structure (each exon codes for a 57-residue unit). Binding to ribonucleases The affinity of RI for ribonucleases is among the highest for any protein-protein interaction; the dissociation constant of the RI-RNase A complex is in the femtomolar (fM) range
https://en.wikipedia.org/wiki/Supply%20chain%20optimization
Supply-chain optimization (SCO) aims to ensure the optimal operation of a manufacturing and distribution supply chain. This includes the optimal placement of inventory within the supply chain, minimizing operating costs including manufacturing costs, transportation costs, and distribution costs. Optimization often involves the application of mathematical modelling techniques using computer software. It is often considered to be part of supply chain engineering, although the latter is mainly focused on mathematical modelling approaches, whereas supply chain optimization can also be undertaken using qualitative, management based approaches. Applications Typically, supply-chain managers aim to maximize the profitable operation of their manufacturing and distribution supply chain. This could include measures like maximizing gross margin return on inventory invested (GMROII) (balancing the cost of inventory at all points in the supply chain with availability to the customer), minimizing total operating expenses (transportation, inventory and manufacturing), or maximizing gross profit of products distributed through the supply chain. Supply-chain optimization addresses the general supply-chain problem of delivering products to customers at the lowest total cost and highest profit, trading off the costs of inventory, transportation, distributing and manufacturing. In addition, optimizing storage and transportation costs by means of product / package size is one of the easiest and m
https://en.wikipedia.org/wiki/Concentration%20cell
In battery technology, a concentration cell is a limited form of a galvanic cell that has two equivalent half-cells of the same composition differing only in concentrations. One can calculate the potential developed by such a cell using the Nernst equation. A concentration cell produces a small voltage as it attempts to reach chemical equilibrium, which occurs when the concentration of reactant in both half-cells are equal. Because an order of magnitude concentration difference produces less than 60 millivolts at room temperature, concentration cells are not typically used for energy storage. A concentration cell generates electricity from the reduction in the thermodynamic free energy of the electrochemical system as the difference in the chemical concentrations in the two half-cells is reduced. The same reaction occurs in the half-cells but in opposite directions, increasing the lower and decreasing the higher concentration. The energy is generated from thermal energy that the cell absorbs as heat, as the electricity flows. This generation of electricity from ambient thermal energy, without a temperature gradient, is possible because the convergence of the chemical concentrations in the two half-cells increases entropy, and this increase more than compensates for the entropy decrease when heat is converted into electrical energy. Concentration cell methods of chemical analysis compare a solution of known concentration with an unknown, determining the concentration of the
https://en.wikipedia.org/wiki/Winter%20%28surname%29
Winter is a surname. Geographical distribution As of 2014, 40.7% of all known bearers of the surname Winter were residents of Germany (frequency 1:992), 22.9% of the United States (1:7,932), 9.5% of England (1:2,952), 4.4% of Austria (1:974), 3.9% of Australia (1:3,034), 3.4% of Brazil (1:30,666), 3.0% of Canada (1:6,132), 1.7% of the Netherlands (1:4,879), 1.4% of South Africa (1:20,013) and 1.3% of France (1:26,529). In Austria, the frequency of the surname was higher than the national average (1:974) in the following states: 1. Lower Austria (1:671) 2. Salzburg (1:798) 3. Vienna (1:802) 4. Styria (1:848) In Germany, the frequency of the surname was higher than the national average (1:992) in the following states: 1. Bremen (1:674) 2. Mecklenburg-Vorpommern (1:695) 3. Hesse (1:719) 4. Saxony-Anhalt (1:737) 5. Saarland (1:831) 6. Saxony (1:839) 7. Bavaria (1:887) 8. Brandenburg (1:895) 9. Thuringia (1:910) 10. Lower Saxony (1:977) In England, the frequency of the surname was higher than the national average (1:2,952) in the following counties: 1. East Sussex (1:1,284) 2. County Durham (1:1,291) 3. Isle of Wight (1:1,470) 4. Cumbria (1:1,521) 5. Northumberland (1:1,597) 6. East Riding of Yorkshire (1:1,637) 7. Tyne and Wear (1:1,638) 8. Somerset (1:1,698) 9. Bristol (1:1,766) 10. Lincolnshire (1:1,864) 11. Hampshire (1:2,018) 12. Dorset (1:2,102) 13. Norfolk (1:2,143) 14. Surrey (1:2,150) 15. Rutland (1:2,232) 16. Kent (1:2,259) 17. Hertford
https://en.wikipedia.org/wiki/Crystal%20Lake%20%28Gilmanton%2C%20New%20Hampshire%29
Crystal Lake is a water body located in Belknap County in the Lakes Region of central New Hampshire, United States, in the town of Gilmanton. Crystal Lake is at the head of the Suncook River watershed. Water flows into Crystal Lake from the Belknap Range through Manning and Sunset lakes to the north. Water from Manning Lake enters Crystal Lake via Nelson Brook. Other waterways flowing into Crystal Lake include Wasson Brook and Mill Brook. Water flows out of a dam from the southern end of Crystal Lake via the Suncook Lakes and Suncook River to the Merrimack River. Shoreline development along Crystal Lake consists primarily of summer cottages, with a few year-round residents. Belknap Mountain and Mount Major can be seen from the shoreline. Weather and climate Average summertime daytime high temperatures are approximately , with overnight lows around . A typical winter day brings a maximum of , with overnight minimums around . Typical wintertime extremes are and , but greater extremes have been recorded nearby. Surface water temperatures range from a high near in late July and early August to a hard freeze by year end. Activities There is a public boat launch, park and beach towards the southern end of the lake. Yearly festivals and fireworks occur during the Fourth of July and Labor Day holidays in the park on the lake. Other annual events include a boat parade, a sailboat race, and illuma-night. Motorized water vessels are permitted. Fishing is common year round. Water
https://en.wikipedia.org/wiki/Virosome
A virosome is a drug or vaccine delivery mechanism consisting of unilamellar phospholipid membrane (either a mono- or bi-layer) vesicle incorporating virus derived proteins to allow the virosomes to fuse with target cells. Viruses are infectious agents that can replicate in their host organism, however virosomes do not replicate. The properties that virosomes share with viruses are based on their structure; virosomes are essentially safely modified viral envelopes that contain the phospholipid membrane and surface glycoproteins. As a drug or vaccine delivery mechanism they are biologically compatible with many host organisms and are also biodegradable. The use of reconstituted virally derived proteins in the formation of the virosome allows for the utilization of what would otherwise be the immunogenic properties of a live-attenuated virus, but is instead a safely killed virus. A safely killed virus can serve as a promising vector because it won't cause infection and the viral structure allows the virosome to recognize specific components of its target cells. Virosomes structure Virosomes are vehicles that have a spherical shape with a phospholipid mono/bilayer membrane. Inside of the virosome, there is a central cavity that holds the therapeutic molecules such as nucleic acids, proteins, and drugs. On the surface of the virosome, there can be different types of glycoproteins. Glycoproteins are a type of protein that have an oligosaccharide chain bonded to amino acid chains
https://en.wikipedia.org/wiki/Beta-propeller
In structural biology, a beta-propeller (β-propeller) is a type of all-β protein architecture characterized by 4 to 8 highly symmetrical blade-shaped beta sheets arranged toroidally around a central axis. Together the beta-sheets form a funnel-like active site. Structure Each beta-sheet typically has four anti-parallel β-strands arranged in the beta-zigzag motif. The strands are twisted so that the first and fourth strands are almost perpendicular to each other. There are five classes of beta-propellers, each arrangement being a highly symmetrical structure with 4–8 beta sheets, all of which generally form a central tunnel that yields pseudo-symmetric axes. While, the protein's official active site for ligand-binding is formed at one end of the central tunnel by loops between individual beta-strands, protein-protein interactions can occur at multiple areas around the domain. Depending on the packing and tilt of the beta-sheets and beta-strands, the beta-propeller may have a central pocket in place of a tunnel. The beta-propeller structure is stabilized mainly through hydrophobic interactions of the beta-sheets, while additional stability may come from hydrogen bonds formed between the beta-sheets of the C- and N-terminal ends. In effect this closes the circle which can occur even more strongly in 4-bladed proteins via a disulfide bond. The chaperones Hsp70 and CCT have been shown to sequentially bind nascent beta-propellers as they emerge from the ribosome. These chaperon
https://en.wikipedia.org/wiki/Ferredoxin%20fold
In protein structure, a ferredoxin fold is a common α+β protein fold with a signature βαββαβ secondary structure along its backbone. Structurally, the ferredoxin fold can be regarded as a long, symmetric hairpin that is wrapped once around, so that its two terminal β-strands hydrogen-bond to the central two β-strands, forming a four-stranded, antiparallel β-sheet covered on one side by two α-helices. External links SCOP list of proteins with a ferredoxin-like fold References Protein folds
https://en.wikipedia.org/wiki/TIM%20barrel
The TIM barrel (triose-phosphate isomerase), also known as an alpha/beta barrel, is a conserved protein fold consisting of eight alpha helices (α-helices) and eight parallel beta strands (β-strands) that alternate along the peptide backbone. The structure is named after triose-phosphate isomerase, a conserved metabolic enzyme. TIM barrels are ubiquitous, with approximately 10% of all enzymes adopting this fold. Further, five of seven enzyme commission (EC) enzyme classes include TIM barrel proteins. The TIM barrel fold is evolutionarily ancient, with many of its members possessing little similarity today, instead falling within the twilight zone of sequence similarity. The inner beta barrel (β-barrel) is in many cases stabilized by intricate salt-bridge networks. Loops at the C-terminal ends of the β-barrel are responsible for catalytic activity while N-terminal end loops are important for the stability of the TIM-barrels. Structural inserts ranging from extended loops to independent protein domains may be inserted in place of these loops or at the N-terminus/C-terminals. TIM barrels appear to have evolved through gene duplication and domain fusion events of half-barrel proteins, with a majority of TIM barrels originating from a common ancestor. This led many TIM barrels to possess internal symmetries. Further gene duplication events of this ancestral TIM barrel led to diverging enzymes possessing the functional diversity observed today. TIM barrels have also been a longstan
https://en.wikipedia.org/wiki/Flavodoxin%20fold
The flavodoxin fold is a common α/β protein fold, second only to the TIM barrel fold. It has three layers, with two α-helical layers sandwiching a 5-stranded parallel β-sheet. The order of strands within the sheet is 2-1-3-4-5. This motif is present for example in lactate dehydrogenase () or phosphoglycerate kinase (). External links SCOP list of proteins adopting the flavodoxin fold (mirror) References Protein folds
https://en.wikipedia.org/wiki/Crystal%20Lake%20%28Enfield%2C%20New%20Hampshire%29
Crystal Lake is a water body located in Grafton County in western New Hampshire, United States, in the town of Enfield. Crystal Lake is part of the Mascoma River watershed. The lake contains one small island: Oliver Island. The lake is classified as a cold- and warmwater fishery, with observed species including rainbow trout, smallmouth bass, chain pickerel, horned pout, black crappie, and rock bass. The lake is one of eight in New Hampshire which historically had a naturally occurring native lake trout population. These fish have since been extirpated from the lake. See also List of lakes in New Hampshire References Lakes of Grafton County, New Hampshire
https://en.wikipedia.org/wiki/DGLAP%20evolution%20equations
The Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) evolution equations are equations in QCD describing the variation of parton distribution functions with varying energy scales. Experimentally observed scaling violation in deep inelastic scattering is important evidence for the correctness of the equations and of QCD in general. The equations were first published in the western world by Guido Altarelli and Giorgio Parisi in 1977, and so are still sometimes called the Altarelli–Parisi equations. Only later did it become known that an equivalent formula had been published in Russia by in 1977, and by Vladimir Gribov and Lev Lipatov in 1972. The DGLAP QCD evolution equations are widely used in global determinations of parton distributions, like those from the CTEQ or NNPDF collaborations. See also Jet (particle physics) HERA APFEL (Software) References Further reading External links Guido Altarelli (2009) QCD evolution equations for parton densities. Scholarpedia, 4(1):7124. Quantum chromodynamics
https://en.wikipedia.org/wiki/Harnack%27s%20curve%20theorem
In real algebraic geometry, Harnack's curve theorem, named after Axel Harnack, gives the possible numbers of connected components that an algebraic curve can have, in terms of the degree of the curve. For any algebraic curve of degree in the real projective plane, the number of components is bounded by The maximum number is one more than the maximum genus of a curve of degree , attained when the curve is nonsingular. Moreover, any number of components in this range of possible values can be attained. A curve which attains the maximum number of real components is called an M-curve (from "maximum") – for example, an elliptic curve with two components, such as or the Trott curve, a quartic with four components, are examples of M-curves. This theorem formed the background to Hilbert's sixteenth problem. In a recent development a Harnack curve is shown to be a curve whose amoeba has area equal to the Newton polygon of the polynomial , which is called the characteristic curve of dimer models, and every Harnack curve is the spectral curve of some dimer model.() References Dmitrii Andreevich Gudkov, The topology of real projective algebraic varieties, Uspekhi Mat. Nauk 29 (1974), 3–79 (Russian), English transl., Russian Math. Surveys 29:4 (1974), 1–79 Carl Gustav Axel Harnack, Ueber die Vieltheiligkeit der ebenen algebraischen Curven, Math. Ann. 10 (1876), 189–199 George Wilson, Hilbert's sixteenth problem, Topology 17 (1978), 53–74 Real algebraic geometry Theorems
https://en.wikipedia.org/wiki/ApoA-I%20Milano
Apolipoprotein A-I Milano (also ETC-216, now MDCO-216) is a naturally occurring mutated variant of the apolipoprotein A1 protein found in human HDL, the lipoprotein particle that carries cholesterol from tissues to the liver and is associated with protection against cardiovascular disease. ApoA-I Milano was first identified by Dr. Cesare Sirtori in Milan, who also demonstrated that its presence significantly reduced cardiovascular disease, even though it caused a reduction in HDL levels and an increase in triglyceride levels. Discovery The ApoA-I Milano mutation was found by University of Milan researchers after their 1974 investigation of a low HDL / high triglyceride phenotype exhibited by Valerio Dagnoli of Limone sul Garda, a small village in northern Italy. Limone had only 1,000 inhabitants at the time and when blood tests were run on the entire population of the village, the mutation was found to be present in about 3.5% of the local population. The mutation was traced to one man, Giovanni Pomarelli, who was born in the village in 1780 and passed it on to his offspring. It is characterised by the replacement of arginine by cysteine at position 173 (197 for UniProt). The mutation is known in single nucleotide polymorphism (SNP) nomenclature as rs28931573. In the 1990s, researchers at the Cedars-Sinai Medical Center showed that injection of a synthetic version of the mutant ApoA-I into rabbits and mice could reverse vascular plaque buildup. Efficacy in Apo A-I/Apo E
https://en.wikipedia.org/wiki/Polar%20modulation
Polar modulation is analogous to quadrature modulation in the same way that polar coordinates are analogous to Cartesian coordinates. Quadrature modulation makes use of Cartesian coordinates, x and y. When considering quadrature modulation, the x axis is called the I (in-phase) axis, and the y axis is called the Q (quadrature) axis. Polar modulation makes use of polar coordinates, r (amplitude) and Θ (phase). The quadrature modulator approach to digital radio transmission requires a linear RF power amplifier which creates a design conflict between improving power efficiency or maintaining amplifier linearity. Compromising linearity causes degraded signal quality, usually by adjacent channel degradation, which can be a fundamental factor in limiting network performance and capacity. Additional problems with linear RF power amplifiers, including device parametric restrictions, temperature instability, power control accuracy, wideband noise and production yields are also common. On the other hand, compromising power efficiency increases power consumption (which reduces battery life in handheld devices) and generates more heat. The issue of linearity in a power amplifier can theoretically be mitigated by requiring that the input signal of the power amplifier be "constant envelope", i.e. contain no amplitude variations. In a polar modulation system, the power amplifier input signal may vary only in phase. Amplitude modulation is then accomplished by directly controlling the
https://en.wikipedia.org/wiki/SZP
SZP can refer to: Sub Zero Project Santa Paula Airport Służba Zwycięstwu Polski Superficial Zone Protein Schizophrenia
https://en.wikipedia.org/wiki/Immunoglobulin%20domain
The immunoglobulin domain, also known as the immunoglobulin fold, is a type of protein domain that consists of a 2-layer sandwich of 7-9 antiparallel β-strands arranged in two β-sheets with a Greek key topology, consisting of about 125 amino acids. The backbone switches repeatedly between the two β-sheets. Typically, the pattern is (N-terminal β-hairpin in sheet 1)-(β-hairpin in sheet 2)-(β-strand in sheet 1)-(C-terminal β-hairpin in sheet 2). The cross-overs between sheets form an "X", so that the N- and C-terminal hairpins are facing each other. Members of the immunoglobulin superfamily are found in hundreds of proteins of different functions. Examples include antibodies, the giant muscle kinase titin, and receptor tyrosine kinases. Immunoglobulin-like domains may be involved in protein–protein and protein–ligand interactions. Examples Human genes encoding proteins containing the immunoglobulin domain include: A1BG ACAM ADAMTSL1 ADAMTSL3 AGER ALCAM AMIGO1 AMIGO2 AXL BCAM BOC BSG BTLA C10orf72 C20orf102 CADM1 CADM3 CD200 CD22 CD276 CD33 CD4 CDON CEACAM1 CEACAM16 CEACAM20 CEACAM21 CEACAM5 CEACAM6 CEACAM8 CHL1 CILP CNTFR CNTN1 CNTN2 CNTN3 CNTN4 CNTN5 CNTN6 CSF1R DSCAM DSCAML1 EMB F11R FAIM3 FCAR FCER1A FCGR1A FCGR2A FCGR2B FCGR2C FCGR3A FCGR3B FCRH1 FCRH3 FCRH4 FCRL1 FCRL2 FCRL3 FCRL4 FCRL5 FCRL6 FCRLA FGFR1 FGFR2 FGFR3 FGFR4 FGFRL1 FLT1 FLT3 FLT4 FSTL4 FSTL5 GP6 GPA33 GPR116 GPR125 HEPACAM
https://en.wikipedia.org/wiki/BC%20Cherno%20More
BC Cherno More Ticha Varna () is a Bulgarian basketball team based in Varna. The last time Cherno More won the championship was in 1999. Honours Bulgarian Championships Champions (3): 1985, 1998, 1999 Bulgarian Cup Champions (4): 1998, 1999, 2000, 2015 History The history of basketball in Varna can be divided into five periods. Everything begins back in 1923, when the “Robert College” alumni – Vaharshak Martaian arrives in the city. At this moment chairman of Sports Club “ Ticha” is the mayor of Varna, Gospodin Angelov, who is fan of basketball. The first Varna basketball team is formed, as there play Boris Petrov, who is also a football international player. The greater part of the players take part in the building of the first basketball court in the northern part of the Sea Garden. Later that court became a playground for the first games between Bulgarian and USA teams. Our opponents and teachers were seamen from the ships that controlled the harbor after World War I. The first game between teams from different cities in Varna was “Ticha” against Athletic from Sofia (18-14). Later the other clubs that became part of SSC “Cherno more” – “Vladislav” and “Diana”, created their basketball teams. During the period between 1935 and 1944 in Varna, there is no organized basketball. Thanks to Aleksi Aleksiev, who is a referee and member of “Primoretz”, basketball is revived in 1944. In 1948 “TVP” (Ticha-Vladislav-Primoretz) wins the cup of Varna. In 1952 our team has its f
https://en.wikipedia.org/wiki/Craps%20principle
In probability theory, the craps principle is a theorem about event probabilities under repeated iid trials. Let and denote two mutually exclusive events which might occur on a given trial. Then the probability that occurs before equals the conditional probability that occurs given that or occur on the next trial, which is The events and need not be collectively exhaustive (if they are, the result is trivial). Proof Let be the event that occurs before . Let be the event that neither nor occurs on a given trial. Since , and are mutually exclusive and collectively exhaustive for the first trial, we have and . Since the trials are i.i.d., we have . Using and solving the displayed equation for gives the formula . Application If the trials are repetitions of a game between two players, and the events are then the craps principle gives the respective conditional probabilities of each player winning a certain repetition, given that someone wins (i.e., given that a draw does not occur). In fact, the result is only affected by the relative marginal probabilities of winning and ; in particular, the probability of a draw is irrelevant. Stopping If the game is played repeatedly until someone wins, then the conditional probability above is the probability that the player wins the game. This is illustrated below for the original game of craps, using an alternative proof. Craps example If the game being played is craps, then this principle can greatly simplify
https://en.wikipedia.org/wiki/Slutsky%27s%20theorem
In probability theory, Slutsky’s theorem extends some properties of algebraic operations on convergent sequences of real numbers to sequences of random variables. The theorem was named after Eugen Slutsky. Slutsky's theorem is also attributed to Harald Cramér. Statement Let be sequences of scalar/vector/matrix random elements. If converges in distribution to a random element and converges in probability to a constant , then   provided that c is invertible, where denotes convergence in distribution. Notes: The requirement that Yn converges to a constant is important — if it were to converge to a non-degenerate random variable, the theorem would be no longer valid. For example, let and . The sum for all values of n. Moreover, , but does not converge in distribution to , where , , and and are independent. The theorem remains valid if we replace all convergences in distribution with convergences in probability. Proof This theorem follows from the fact that if Xn converges in distribution to X and Yn converges in probability to a constant c, then the joint vector (Xn, Yn) converges in distribution to (X, c) (see here). Next we apply the continuous mapping theorem, recognizing the functions g(x,y) = x + y, g(x,y) = xy, and g(x,y) = x y−1 are continuous (for the last function to be continuous, y has to be invertible). See also Convergence of random variables References Further reading Asymptotic theory (statistics) Probability theorems Theorems
https://en.wikipedia.org/wiki/Random%20element
In probability theory, random element is a generalization of the concept of random variable to more complicated spaces than the simple real line. The concept was introduced by who commented that the “development of probability theory and expansion of area of its applications have led to necessity to pass from schemes where (random) outcomes of experiments can be described by number or a finite set of numbers, to schemes where outcomes of experiments represent, for example, vectors, functions, processes, fields, series, transformations, and also sets or collections of sets.” The modern-day usage of “random element” frequently assumes the space of values is a topological vector space, often a Banach or Hilbert space with a specified natural sigma algebra of subsets. Definition Let be a probability space, and a measurable space. A random element with values in E is a function which is -measurable. That is, a function X such that for any , the preimage of B lies in . Sometimes random elements with values in are called -valued random variables. Note if , where are the real numbers, and is its Borel σ-algebra, then the definition of random element is the classical definition of random variable. The definition of a random element with values in a Banach space is typically understood to utilize the smallest -algebra on B for which every bounded linear functional is measurable. An equivalent definition, in this case, to the above, is that a map , from a probability spa
https://en.wikipedia.org/wiki/Explosives%20shipping%20classification%20system
A matrix of the United Nations explosives shipping classification system and examples of typical materials. Each classification consists of a Sub Class Number that indicates the type of hazard and a Compatibility group suffix describing which types of product may inhabit the same means of containment. Classes Compatibility Groups In some cases it may be appropriate and safe to mix explosives when transporting or storing them, certain compatibility groups may be mixed with others and still remain safe. X Denotes compatibility groups that can be mixed in transport. Detonators/blasting caps, may not be packaged together with any other explosive. a. Different explosives of compatibility group A should be packaged separately b. Explosives of compatibility group L shall only be packed with an identical explosive. c. Explosive articles of the compatibility group C, D, or E may be packed together, and the whole packaged shall be treated as belonging to compatibility group E. d. Explosive articles of the compatibility group C and D may be packed together, and the whole packaged shall be treated as belonging to compatibility group D. e. Explosive articles of the compatibility group C, D, E or N may be packed together, and the whole packaged shall be treated as belonging to compatibility group D. f. Explosive belonging to the compatibility group G except for fireworks, may be packaged together with compatibility groups C, D, and E, provided they are not carried in the same co
https://en.wikipedia.org/wiki/Water%20breathing
Water breathing may refer to: The natural ability to extract oxygen from water, such as with gills See also Liquid breathing, breathing a specialized oxygenated fluid
https://en.wikipedia.org/wiki/Erna%20Siikavirta
Erna Inari Kaarina Siikavirta (born 8 October 1977) is a Finnish keyboard player. She is best known as a member of the rock band Lordi, which she joined in 1997 under the stage name Enary. She left the band in 2005, at the request of the other members. In 1998, Erna joined Children of Bodom on their first European tour, temporarily replacing keyboardist Janne Wirman. In the same year, Erna sang soprano on the album Fallen Angel's Symphony for the German band Ancient Ceremony. In 1999, she played keyboard for Sinergy during their live gigs. Erna was also keyboardist for the Finnish group Grain, until their split in 2001. In 2001 and 2002, she played synthesizer in Markku Klami's Meditation (op. 10/1) and Hymn for Christmas. In 2006, Erna joined the Finnish "gravedigger metal" band Deathlike Silence, replacing former keyboardist Mr. Rigor Mortis. In 2008 she had to leave because of her pregnancy, eventually moving to the band Arthemesia, which was disbanded in 2010. Discography Ancient Ceremony: Fallen Angel's Symphony (1998) Lordi: Get Heavy (2002) Lordi: The Monsterican Dream (2004) Deathlike Silence: Vigor Mortis (2007) Deathlike Silence: Saturday Night Evil (2009) References 1977 births Living people Finnish heavy metal keyboardists People from Espoo Arthemesia members Lordi members
https://en.wikipedia.org/wiki/Acridine%20orange
Acridine orange is an organic compound that serves as a nucleic acid-selective fluorescent dye with cationic properties useful for cell cycle determination. Acridine orange is cell-permeable, which allows the dye to interact with DNA by intercalation, or RNA via electrostatic attractions. When bound to DNA, acridine orange is very similar spectrally to an organic compound known as fluorescein. Acridine orange and fluorescein have a maximum excitation at 502nm and 525 nm (green). When acridine orange associates with RNA, the fluorescent dye experiences a maximum excitation shift from 525 nm (green) to 460 nm (blue). The shift in maximum excitation also produces a maximum emission of 650 nm (red). Acridine orange is able to withstand low pH environments, allowing the fluorescent dye to penetrate acidic organelles such as lysosomes and phagolysosomes that are membrane-bound organelles essential for acid hydrolysis or for producing products of phagocytosis of apoptotic cells. Acridine orange is used in epifluorescence microscopy and flow cytometry. The ability to penetrate the cell membranes of acidic organelles and cationic properties of acridine orange allows the dye to differentiate between various types of cells (i.e., bacterial cells and white blood cells). The shift in maximum excitation and emission wavelengths provides a foundation to predict the wavelength at which the cells will stain. Optical properties When the pH of the environment is 3.5, acridine orange becomes ex
https://en.wikipedia.org/wiki/Ribonuclease%20III
Ribonuclease III (RNase III or RNase C)(BRENDA 3.1.26.3) is a type of ribonuclease that recognizes dsRNA and cleaves it at specific targeted locations to transform them into mature RNAs. These enzymes are a group of endoribonucleases that are characterized by their ribonuclease domain, which is labelled the RNase III domain. They are ubiquitous compounds in the cell and play a major role in pathways such as RNA precursor synthesis, RNA Silencing, and the pnp autoregulatory mechanism. Types of RNase III The RNase III superfamily is divided into four known classes: 1, 2, 3, and 4. Each class is defined by its domain structure. Class 1 RNase III Class 1 RNase III enzymes have a homodimeric structure whose function is to cleave dsRNA into multiple subunits. It is a Mg2+-dependent endonuclease and is largely found in bacteria and bacteriophage. Class 1 RNase III have been found in Glomeromycotan fungi, which was suspected to be the result of horizontal gene transfer from cyanobacteria. Among the RNases III in the class are the rnc from E. coli. Typically, class I enzymes possess a single RNase III domain (RIIID) followed by a dsRNA-binding domain (). They process precursors to ribosomal RNA (rRNA), small nuclear RNA (snRNA) and small nucleolar RNA (snoRNA). The basic dsRNA cleavage function of Class 1 RNase III is retained in most of the organisms in which it is present. However, in a number of species the function has changed and taken on different or additional biological rol
https://en.wikipedia.org/wiki/ROR2
Tyrosine-protein kinase transmembrane receptor ROR2, also known as neurotrophic tyrosine kinase, receptor-related 2, is a protein that in humans is encoded by the ROR2 gene located on position 9 of the long arm of chromosome 9. This protein is responsible for aspects of bone and cartilage growth. It is involved in Robinow syndrome and autosomal dominant brachydactyly type B. ROR2 is a member of the receptor tyrosine kinase-like orphan receptor (ROR) family. Function The protein encoded by this gene is a receptor tyrosine kinase and type I transmembrane protein that belongs to the ROR subfamily of cell surface receptors. The protein may be involved in the early formation of the chondrocytes and may be required for cartilage and growth plate development. Clinical significance Mutations in this gene can cause brachydactyly type B, a skeletal disorder characterized by hypoplasia/aplasia of distal phalanges and nails. In addition, mutations in this gene can cause the autosomal recessive form of Robinow syndrome, which is characterized by skeletal dysplasia with generalized limb bone shortening, segmental defects of the spine, brachydactyly, and a dysmorphic facial appearance. References Further reading External links GeneReviews/NCBI/NIH/UW entry on ROR2-Related Robinow Syndrome ROR2 Mutations Cause Brachydactyly Type B and Robinow Syndrome Tyrosine kinase receptors
https://en.wikipedia.org/wiki/Monosomy%209p
Monosomy 9p (also known as Alfi's Syndrome or simply 9P-) is a rare chromosomal disorder in which some DNA is missing or has been deleted on the short arm region, “p”, of one of the 9th Chromosomes (9p22.2-p23). This deletion either happens de novo or a result of a parent having the chromosome abnormality. This rare chromosome abnormality is often diagnosed after birth when development delay, irregular facial features, and structural irregularities within the heart, and genital defects are noticed. Treatments for this syndrome usually focus on fixing the common malformations associated with this syndrome. Chromosome 9p deletion syndrome was first discovered in 1973 when 3 infants with similar clinical features were observed to have a partial deletion of the short arm of Chromosome 9. Symptoms include microgenitalia, intellectual disability with microcephaly and dysmorphic features. Signs and symptoms Psychomotor development delays Psychomotor development refers to the changes experienced directly after birth through adolescence. Development occurs in cognitive, emotional, motor, and social skills over the child's growth and a delay can result in lagging development of language, motor skills, cognition, or social skills, however these delays can vary in severity. Facial dysmorphism Facial dysmorphisms broadly describe any abnormalities in facial structure. Facial dysmorphisms include sloping forehead, frontal bossing (prominent protruding forehead), hemifacial microsomia
https://en.wikipedia.org/wiki/Quantum%20annealing
Quantum annealing (QA) is an optimization process for finding the global minimum of a given objective function over a given set of candidate solutions (candidate states), by a process using quantum fluctuations. Quantum annealing is used mainly for problems where the search space is discrete (combinatorial optimization problems) with many local minima; such as finding the ground state of a spin glass or the traveling salesman problem. The term "quantum annealing" was first proposed in 1988 by B. Apolloni, N. Cesa Bianchi and D. De Falco as a quantum-inspired classical algorithm. It was formulated in its present form by T. Kadowaki and H. Nishimori (ja) in 1998 though an imaginary-time variant without quantum coherence had been discussed by A. B. Finnila, M. A. Gomez, C. Sebenik and J. D. Doll in 1994. Quantum annealing starts from a quantum-mechanical superposition of all possible states (candidate states) with equal weights. Then the system evolves following the time-dependent Schrödinger equation, a natural quantum-mechanical evolution of physical systems. The amplitudes of all candidate states keep changing, realizing a quantum parallelism, according to the time-dependent strength of the transverse field, which causes quantum tunneling between states or essentially tunneling through peaks. If the rate of change of the transverse field is slow enough, the system stays close to the ground state of the instantaneous Hamiltonian (also see adiabatic quantum computation). If th
https://en.wikipedia.org/wiki/Human%20Genome%20Project
The Human Genome Project (HGP) was an international scientific research project with the goal of determining the base pairs that make up human DNA, and of identifying, mapping and sequencing all of the genes of the human genome from both a physical and a functional standpoint. It started in 1990 and was completed in 2003. It remains the world's largest collaborative biological project. Planning for the project started after it was adopted in 1984 by the US government, and it officially launched in 1990. It was declared complete on April 14, 2003, and included about 92% of the genome. Level "complete genome" was achieved in May 2021, with a remaining only 0.3% bases covered by potential issues. The final gapless assembly was finished in January 2022. Funding came from the United States government through the National Institutes of Health (NIH) as well as numerous other groups from around the world. A parallel project was conducted outside the government by the Celera Corporation, or Celera Genomics, which was formally launched in 1998. Most of the government-sponsored sequencing was performed in twenty universities and research centres in the United States, the United Kingdom, Japan, France, Germany, and China, working in the International Human Genome Sequencing Consortium (IHGSC). The Human Genome Project originally aimed to map the complete set of nucleotides contained in a human haploid reference genome, of which there are more than three billion. The "genome" of any
https://en.wikipedia.org/wiki/Mladost%2C%20Varna
Mladost () is a district of Varna, Varna Municipality in Varna Province, Bulgaria. It is situated in the northwestern part of the city. Its population is just over 87,000 according to Census 2011. Administrators Mayor: Yordanka Yunakova Deputy mayor: Alexi Alexiev Secretary: Natasha Milivoeva External links Satellite picture Varna Municipality
https://en.wikipedia.org/wiki/Cell%20damage
Cell damage (also known as cell injury) is a variety of changes of stress that a cell suffers due to external as well as internal environmental changes. Amongst other causes, this can be due to physical, chemical, infectious, biological, nutritional or immunological factors. Cell damage can be reversible or irreversible. Depending on the extent of injury, the cellular response may be adaptive and where possible, homeostasis is restored. Cell death occurs when the severity of the injury exceeds the cell's ability to repair itself. Cell death is relative to both the length of exposure to a harmful stimulus and the severity of the damage caused. Cell death may occur by necrosis or apoptosis. Causes Physical agents such as heat or radiation can damage a cell by literally cooking or coagulating their contents. Impaired nutrient supply, such as lack of oxygen or glucose, or impaired production of adenosine triphosphate (ATP) may deprive the cell of essential materials needed to survive. Metabolic: Hypoxia and Ischemia Chemical Agents Microbial Agents: Virus & Bacteria Immunologic Agents: Allergy and autoimmune diseases such as Parkinson's and Alzheimer's disease. Genetic factors: Such as Down's syndrome and sickle cell anemia Targets The most notable components of the cell that are targets of cell damage are the DNA and the cell membrane. DNA damage: In human cells, both normal metabolic activities and environmental factors such as ultraviolet light and other radiations can ca
https://en.wikipedia.org/wiki/B-cell%20receptor
The B-cell receptor (BCR) is a transmembrane protein on the surface of a B cell. A B-cell receptor is composed of a membrane-bound immunoglobulin molecule and a signal transduction moiety. The former forms a type 1 transmembrane receptor protein, and is typically located on the outer surface of these lymphocyte cells. Through biochemical signaling and by physically acquiring antigens from the immune synapses, the BCR controls the activation of the B cell. B cells are able to gather and grab antigens by engaging biochemical modules for receptor clustering, cell spreading, generation of pulling forces, and receptor transport, which eventually culminates in endocytosis and antigen presentation. B cells' mechanical activity adheres to a pattern of negative and positive feedbacks that regulate the quantity of removed antigen by manipulating the dynamic of BCR–antigen bonds directly. Particularly, grouping and spreading increase the relation of antigen with BCR, thereby proving sensitivity and amplification. On the other hand, pulling forces delinks the antigen from the BCR, thus testing the quality of antigen binding. The receptor's binding moiety is composed of a membrane-bound antibody that, like all antibodies, has two identical paratopes that are unique and randomly determined. The BCR for an antigen is a significant sensor that is required for B cell activation, survival, and development. A B cell is activated by its first encounter with an antigen (its "cognate antigen") th
https://en.wikipedia.org/wiki/Unishe%20April
Unishe April (, ) is a 1994 Indian Bengali-language drama film directed by Rituparno Ghosh and produced by Renu Roy under the banner of Spandan Films. It stars Aparna Sen and Debashree Roy while Prosenjit Chatterjee and Deepankar De appear in supporting roles. The music of the film was composed by Jyotishka Dasgupta. Unishe April marked Ghosh's second directorial venture after Hirer Angti (1992). A loose remake of Ingmar Bergman's film Autumn Sonata (1978), it opened to widespread acclaim, with critical praise drawn towards the screenplay and performances by the lead actors—especially that of Sen and Ray, the latter eventually winning the National film Award for Best Actress. Ghosh, besides directing the film, also wrote the screenplay while the cinematography was handled by Sunirmal Mazumdar. The film's narrative revolves around the tensed relationship between a woman who is an uninvolved parent and her daughter, depicting how their inter-personal matters lead to a bitter aspect of life. Considered way ahead of its time, the huge success of the film was instrumental in ending the era of action films in Bengali film industry and rejuvenating the genre of art films. Ray's award-winning performance further consolidated her position as the 'undisputed queen of Bengali cinema'. At the 42nd National Film Awards, it won Best Feature Film and was nominated for the New Currents Award at the Busan International Film Festival of 1996. Plot Sarojini (Aparna Sen) is a well-known danc