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Timeline of the COVID-19 pandemic in Turkey-November 2020-17 November Recep Tayyip Erdoğan announced new measures to control the spread of the virus. He stated that distant learning would continue until the end of the year, a curfew would be imposed on weekends except between 10:00 am–08:00 pm, restaurants would only p... | milkshake721/2.1M-wiki-STEM |
Timeline of the COVID-19 pandemic in Turkey-December 2020-6 December On 6 December, Ministry of Health Fahrettin Koca announced that 50 million doses of CoronaVac should arrive by the end of February 2021, and 10 million doses of the Pfizer–BioNTech COVID-19 vaccine should start arriving still during December. | milkshake721/2.1M-wiki-STEM |
Timeline of the COVID-19 pandemic in Turkey-December 2020-7 December On 7 December, Pfizer and BioNTech finalized their submission to the Turkish Medicines and Medical Devices Agency (TMA), which has been reviewing data from the clinical trial on a rolling basis since October. The TMA said it would recommend granting a... | milkshake721/2.1M-wiki-STEM |
Timeline of the COVID-19 pandemic in Turkey-December 2020-10 December On 10 December, the seven-day averages for three of the primary metrics (tests, cases, hospitalizations) were at record highs. Earlier in the spring of 2020, during the first COVID-19 surge in the Turkey, the rising death toll reached a peak on 22 Ap... | milkshake721/2.1M-wiki-STEM |
Timeline of the COVID-19 pandemic in Turkey-December 2020-13 December On 13 December, TMA pushed back formal assessments of two COVID-19 vaccines, delaying distribution of the Pfizer–BioNTech COVID-19 vaccine and CoronaVac in Turkey to the end of December. The TMA said it planned to give an opinion on the Pfizer–BioNTe... | milkshake721/2.1M-wiki-STEM |
Timeline of the COVID-19 pandemic in Turkey-January 2021-1 January Turkey detected 15 cases of the UK coronavirus variant on 1 January 2021.
14 January On 14 January 2021, Turkish President Recep Tayyip Erdoğan received the COVID-19 vaccine. | milkshake721/2.1M-wiki-STEM |
Flame (malware)-Flame (malware)-Flame, also known as Flamer, sKyWIper, and Skywiper, is modular computer malware discovered in 2012 that attacks computers running the Microsoft Windows operating system. The program is used for targeted cyber espionage in Middle Eastern countries.Its discovery was announced on 28 May 20... | milkshake721/2.1M-wiki-STEM |
Flame (malware)-History-Flame (a.k.a. Da Flame) was identified in May 2012 by the MAHER Center of the Iranian National CERT, Kaspersky Lab and CrySyS Lab (Laboratory of Cryptography and System Security) of the Budapest University of Technology and Economics when Kaspersky Lab was asked by the United Nations Internation... | milkshake721/2.1M-wiki-STEM |
Flame (malware)-History-A sample of the Flame malware is available at GitHub | milkshake721/2.1M-wiki-STEM |
Flame (malware)-Operation-Flame is an uncharacteristically large program for malware at 20 megabytes. It is written partly in the Lua scripting language with compiled C++ code linked in, and allows other attack modules to be loaded after initial infection. The malware uses five different encryption methods and an SQLit... | milkshake721/2.1M-wiki-STEM |
Flame (malware)-Deployment-Like the previously known cyber weapons Stuxnet and Duqu, it is employed in a targeted manner and can evade current security software through rootkit functionality. Once a system is infected, Flame can spread to other systems over a local network or via USB stick. It can record audio, screens... | milkshake721/2.1M-wiki-STEM |
Flame (malware)-Origin-On 19 June 2012, The Washington Post published an article claiming that Flame was jointly developed by the U.S. National Security Agency, CIA and Israel's military at least five years prior. The project was said to be part of a classified effort code-named Olympic Games, which was intended to col... | milkshake721/2.1M-wiki-STEM |
Flame (malware)-Origin-After analysing the code further, Kaspersky later said that there is a strong relationship between Flame and Stuxnet; the early version of Stuxnet contained code to propagate via USB drives that is nearly identical to a Flame module that exploits the same zero-day vulnerability.Iran's CERT descri... | milkshake721/2.1M-wiki-STEM |
International Student Congress Of (bio)Medical Sciences-International Student Congress Of (bio)Medical Sciences-The International Student Congress Of (bio)Medical Sciences, also known as ISCOMS, is an annually held student congress on biomedical sciences. The primary aim of ISCOMS is getting medical students acquainted... | milkshake721/2.1M-wiki-STEM |
International Student Congress Of (bio)Medical Sciences-History-ISCOMS started as a congress for medical students in Groningen, named "Studenten Congres Geneeskunde". In 2003, the Student Congres Geneeskunde changed to an international congress with the name International Student Congress of Medicine. In 2004 the name ... | milkshake721/2.1M-wiki-STEM |
International Student Congress Of (bio)Medical Sciences-Location-ISCOMS takes place at the University Medical Center Groningen (UMCG) in the Netherlands. It is one of the largest hospitals in the world, offering supraregional tertiary care to the northern part of the Netherlands. The medical center employs almost 17,00... | milkshake721/2.1M-wiki-STEM |
International Student Congress Of (bio)Medical Sciences-Congress structure-The congress is for (bio)medical students who are interested in research. Students may be either presenting or non-presenting participants. If a participant wants to present their research, they are required to submit their abstract beforehand. ... | milkshake721/2.1M-wiki-STEM |
International Student Congress Of (bio)Medical Sciences-Congress structure-When accepted, participants are divided into different session in which they present their research. This may be either through a poster presentation, or an oral presentation where students can present their research by means of a slideshow pres... | milkshake721/2.1M-wiki-STEM |
International Student Congress Of (bio)Medical Sciences-Congress structure-The congress also holds pre-course masterclasses about research skills, and a great variety of workshops during the congress days on practical skills. Besides that ISCOMS offers keynote lectures from renowned scientist presenting their research ... | milkshake721/2.1M-wiki-STEM |
International Student Congress Of (bio)Medical Sciences-Keynote Speakers-Nobel Prize laureates who have given a keynote lecture during one of the previous ISCOMS editions. | milkshake721/2.1M-wiki-STEM |
International Student Congress Of (bio)Medical Sciences-Healthy Ageing-‘Healthy Ageing’ is the primary focus of research, patient care, and education & training within the University of Groningen and the University Medical Center Groningen. Knowing that ageing of the population poses an increasing burden on society, an... | milkshake721/2.1M-wiki-STEM |
International Student Congress Of (bio)Medical Sciences-Organisational structure-The organisation of ISCOMS consists of (bio)medical students from the University of Groningen. There are nine Executive Board members and 21 committee members. Committees include the Scientific Programme, Hosting and Logistics, Internation... | milkshake721/2.1M-wiki-STEM |
International Student Congress Of (bio)Medical Sciences-ISCOMS Research Fellowships (IRF)-ISCOMS is more than just a congress; it also incorporates several different projects. The ISCOMS Research Fellowships (IRF) is such a project and is unique in Europe and has become an integral part of the experience. It provides a... | milkshake721/2.1M-wiki-STEM |
International Student Congress Of (bio)Medical Sciences-Partners-The official partners of the ISCOMS are: Leiden International Medical Student Conference (LIMSC) International Federation of Medical Students' Associations the Netherlands (IFMSA-NL) Zagreb International Medical Summit (ZIMS) European Medical Students' As... | milkshake721/2.1M-wiki-STEM |
Folding endurance-Folding endurance-In paper testing, folding endurance is defined as the logarithm (to the base of ten) of the number of double folds that are required to make a test piece break under standardized conditions: F = log10 d,where F is the folding endurance and d the number of double folds. | milkshake721/2.1M-wiki-STEM |
Folding endurance-Folding endurance-Folding endurance is especially applicable for papers used for maps, bank notes, archival documents, etc. The direction of the grain in relation to the folding line, the type of fibres used, the fibre contents, the calliper of the test piece, etc., as well as which type of folding te... | milkshake721/2.1M-wiki-STEM |
Folding endurance-Folding endurance-Folding endurance must not be confused with the related term fold number. | milkshake721/2.1M-wiki-STEM |
Folding endurance-Standards on folding endurance-ISO 5626: Paper – Determination of folding endurance.
TAPPI Test Method T 511: Folding endurance of paper (MIT tester).
TAPPI Test Method T 423: Folding endurance of paper (Schopper type tester). | milkshake721/2.1M-wiki-STEM |
Nesbitt's inequality-Nesbitt's inequality-In mathematics, Nesbitt's inequality states that for positive real numbers a, b and c, ab+c+ba+c+ca+b≥32.
It is an elementary special case (N = 3) of the difficult and much studied Shapiro inequality, and was published at least 50 years earlier.
There is no corresponding upper ... | milkshake721/2.1M-wiki-STEM |
Nesbitt's inequality-Proof-First proof: AM-HM inequality By the AM-HM inequality on (a+b),(b+c),(c+a) ,(a+b)+(a+c)+(b+c)3≥31a+b+1a+c+1b+c.
Clearing denominators yields ((a+b)+(a+c)+(b+c))(1a+b+1a+c+1b+c)≥9, from which we obtain 2a+b+cb+c+2a+b+ca+c+2a+b+ca+b≥9 by expanding the product and collecting like denominators. ... | milkshake721/2.1M-wiki-STEM |
Nesbitt's inequality-Proof-Sixth proof: Titu's lemma Titu's lemma, a direct consequence of the Cauchy–Schwarz inequality, states that for any sequence of n real numbers (xk) and any sequence of n positive numbers (ak) , ∑k=1nxk2ak≥(∑k=1nxk)2∑k=1nak . We use the lemma on (xk)=(1,1,1) and (ak)=(b+c,a+c,a+b) . Thi... | milkshake721/2.1M-wiki-STEM |
Nesbitt's inequality-Proof-Eighth proof: Jensen inequality Define S=a+b+c and consider the function f(x)=xS−x . This function can be shown to be convex in [0,S] and, invoking Jensen inequality, we get aS−a+bS−b+cS−c3≥S/3S−S/3.
A straightforward computation yields ab+c+bc+a+ca+b≥32.
Ninth proof: Reduction to a two-va... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Prehomogeneous vector space-In mathematics, a prehomogeneous vector space (PVS) is a finite-dimensional vector space V together with a subgroup G of the general linear group GL(V) such that G has an open dense orbit in V. Prehomogeneous vector spaces were introduced by Mikio Sato in 1970 and... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Setting-In the setting of Sato, G is an algebraic group and V is a rational representation of G which has a (nonempty) open orbit in the Zariski topology. However, PVS can also be studied from the point of view of Lie theory: for instance, in Knapp (2002), G is a complex Lie group and V is a... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Setting-Although prehomogeneous vector spaces do not necessarily decompose into direct sums of irreducibles, it is natural to study the irreducible PVS (i.e., when V is an irreducible representation of G). In this case, a theorem of Élie Cartan shows that G ≤ GL(V)is a reductive group, with ... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Castling-The classification of PVS is complicated by the following fact. Suppose m > n > 0 and V is an m-dimensional representation of G over a field F. Then: (G×SL(n),V⊗Fn) is a PVS if and only if (G×SL(m−n),V∗⊗Fm−n) is a PVS.The proof is to observe that both conditions are equivalent to t... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Castling-(In the case that G is reductive, the pair (G,V) is equivalent to the pair (G, V*) by an automorphism of G.) This transformation of PVS is called castling. Given a PVS V, a new PVS can be obtained by tensoring V with F and castling. By repeating this process, and regrouping tensor p... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Classification-The classification of irreducible reduced PVS (G,V) splits into two cases: those for which G is semisimple, and those for which it is reductive with one-dimensional centre. If G is semisimple, it is (perhaps a covering of) a subgroup of SL(V), and hence G×GL(1) acts prehomogen... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Classification-This makes it possible to restrict attention to semisimple G ≤ SL(V) and split the classification as follows: (G,V) is a PVS; (G,V) is not a PVS, but (G×GL(1),V) is.However, it turns out that the classification is much shorter, if one allows not just products with GL(1), but a... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Classification-This has an interpretation in terms of the grassmannian Grn(V) of n-planes in V (at least for n ≤ dim V). In both cases G acts on Grn(V) with a dense open orbit U. In the first case the complement Grn(V)-U has codimension ≥ 2; in the second case it is a divisor of some degree ... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Classification-In the following, the classification list will be presented over the complex numbers.
General examples * Strictly speaking, we must restrict to n ≤ (dim V)/2 to obtain a reduced example.
Irregular examples Type 1 10 16 Type 2 Sp(2m,C)×SO(3,C)onC2m⊗C3 Both of these examples are... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Proofs-Sato and Kimura establish this classification by producing a list of possible irreducible prehomogeneous (G,V), using the fact that G is reductive and the dimensional restriction. They then check whether each member of this list is prehomogeneous or not. | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Proofs-However, there is a general explanation why most of the pairs (G,V) in the classification are prehomogeneous, in terms of isotropy representations of generalized flag varieties. Indeed, in 1974, Richardson observed that if H is a semisimple Lie group with a parabolic subgroup P, then ... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Applications-One reason that PVS are interesting is that they classify generic objects that arise in G-invariant situations. For example, if G=GL(7), then the above tables show that there are generic 3-forms under the action of G, and the stabilizer of such a 3-form is isomorphic to the exce... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Applications-In each case a generic point in V identifies it with the complexification of a Jordan algebra of 3 x 3 hermitian matrices (over the division algebras R, C, H and O respectively) and the cubic relative invariant is identified with a suitable determinant. The isotropy algebra of s... | milkshake721/2.1M-wiki-STEM |
Prehomogeneous vector space-Applications-Other Hermitian symmetric spaces yields prehomogeneous vector spaces whose generic points define Jordan algebras in a similar way.
The Jordan algebra J(m−1) in the last row is the spin factor (which is the vector space Rm−1 ⊕ R, with a Jordan algebra structure defined using the ... | milkshake721/2.1M-wiki-STEM |
Obstacles to troop movement-Obstacles to troop movement-Obstacles to troop movement represent either natural, human habitat originated, constructed, concealed obstacles, or obstructive impediments to movement of military troops and their vehicles, or to their visibility. By impeding strategic, operational or tactical m... | milkshake721/2.1M-wiki-STEM |
Obstacles to troop movement-Role of obstacles-Obstacles are used in combat operations to create choke points, deny mobility corridors and avenue of approach to positions, to enhance field of fire for direct fire weapons, or to protect key tactical terrain features to the enemy. | milkshake721/2.1M-wiki-STEM |
Obstacles to troop movement-Types of obstacles-Natural obstacles Natural obstacles are represented by those terrain features that for which few troops and their vehicles have capability to traverse. They include water obstacles, or areas of poor drainage such as lakes, rivers, swamps and marshes. The former two can be ... | milkshake721/2.1M-wiki-STEM |
Obstacles to troop movement-Types of obstacles-Habitat obstacles While human habitat had, since early construction of roads, sought to create ways of negotiating terrain faster, the human activity on the landscape can create obstacles in its own right. Artificial lakes and ponds, canals, and areas of agricultural culti... | milkshake721/2.1M-wiki-STEM |
Obstacles to troop movement-Types of obstacles-Constructed obstacles Constructed obstacles are those prepared by military engineering troops, often combat engineers, by either using materials to construct impediments to foot and vehicle-borne troops, or by using demolition methods, or excavation such as an abatis, to c... | milkshake721/2.1M-wiki-STEM |
Obstacles to troop movement-Types of obstacles-Concealed obstacles Concealed obstacles are used with the intention of not only preventing movement of enemy troops, but also causing casualties during attempted movement. Although one of the oldest forms of obstacle use, this became far deadlier with the invention of the ... | milkshake721/2.1M-wiki-STEM |
Obstacles to troop movement-Obstacle negotiation-Ground troops prefer to deal with physical obstacles by circumventing them as rapidly as possible, thus avoiding becoming stationary targets to the enemy direct and indirect fire weapons, and aircraft. Where this is not possible, in modern warfare the most expedient meas... | milkshake721/2.1M-wiki-STEM |
Payment terminal-Payment terminal-A payment terminal, also known as a point of sale (POS) terminal, credit card machine, PIN pad, EFTPOS terminal (or by the older term as PDQ terminal which stands for "Process Data Quickly"), is a device which interfaces with payment cards to make electronic funds transfers. The termin... | milkshake721/2.1M-wiki-STEM |
Payment terminal-Payment terminal-A payment terminal allows a merchant to capture required credit and debit card information and to transmit this data to the merchant services provider or bank for authorization and finally, to transfer funds to the merchant. The terminal allows the merchant or their client to swipe, in... | milkshake721/2.1M-wiki-STEM |
Payment terminal-Payment terminal-The majority of card terminals today transmit data over cellular network connections and Wi-Fi. Legacy terminals communicate over standard telephone line or Ethernet connections. Some also have the ability to cache transactional data to be transmitted to the gateway processor when a co... | milkshake721/2.1M-wiki-STEM |
Payment terminal-Payment terminal-Prior to the development of payment terminals, merchants would capture card information manually using ZipZap machines. The development of payment terminals was led by the advantage of efficiency by decreased transaction processing times and immediate authorisation of payments. In term... | milkshake721/2.1M-wiki-STEM |
Payment terminal-History-Prior to the development of payment terminals, merchants would use manual imprinters (also known as ZipZap machines) to capture the information from the embossed information on a credit card onto a paper slip with carbon-paper copies. These paper slips had to be taken to the bank for processing... | milkshake721/2.1M-wiki-STEM |
Payment terminal-History-Hungarian-born George Wallner in Sydney, Australia, founded rival Hypercom in 1978 and in 1982 started producing dedicated payment terminals. It went on to dominate the Oceania region. The company signed a deal with American Express to provide its terminals to them in the US. To consolidate the... | milkshake721/2.1M-wiki-STEM |
Payment terminal-History-Verifone would later acquire both of these major rivals, acquiring Lipman in 2006 and the payment part of the Hypercom business including its brand in 2011. | milkshake721/2.1M-wiki-STEM |
Payment terminal-History-In 1980, Jean-Jacques Poutrel and Michel Malhouitre established Ingenico in France and developed their first payment terminal in 1984. Its Barcelona-based R&D unit would lead the development of payment terminals for the next decade. Ingenico, through a number of acquisitions, would dominate the... | milkshake721/2.1M-wiki-STEM |
Payment terminal-Typical features-Key entry (for customer not present mail and telephone order) Tips/gratuities Refunds and adjustments Settlement (including automatic) Pre-authorisation Payments using near field communication enabled devices Remote initialisation and software update Point of sale (POS) integration Mul... | milkshake721/2.1M-wiki-STEM |
Payment terminal-Major manufacturers-There are three main global players who offer both a wide range of payment terminals, sell worldwide, and continue to develop to the latest international payment industry standards. In most countries terminals are provided to merchants via a multitude of distributors that support an... | milkshake721/2.1M-wiki-STEM |
Payment terminal-Alternatives-A merchant can replace the functionality of dedicated credit card terminal hardware using a terminal application running on a PC or mobile device, such as a smartphone. The payment acceptance applications are also called tap-on-phone or software point of sale. They usually work with dedica... | milkshake721/2.1M-wiki-STEM |
Acne with facial edema-Acne with facial edema-Acne with facial edema occurs uncommonly, and is associated with a peculiar inflammatory edema of the mid-third of the face. | milkshake721/2.1M-wiki-STEM |
DDX41-DDX41-Probable ATP-dependent RNA helicase DDX41 is an enzyme that in humans is encoded by the DDX41 gene.DEAD box proteins, characterized by the conserved motif Asp-Glu-Ala-Asp (DEAD), are putative RNA helicases. They are implicated in a number of cellular processes involving alteration of RNA secondary structure... | milkshake721/2.1M-wiki-STEM |
DDX41-Function-DDX41 is believed to take part in several cell functions. It is mainly concentrated in the nucleus of the cell, but it can also be expressed in the citoplasm.
In the citoplasm it takes part in the Interferon I production pathway by recognizing foreign citoplasmic DNA and signaling STING. It has been obse... | milkshake721/2.1M-wiki-STEM |
Dialogue in Silence-Dialogue in Silence-Dialogue in Silence is an exhibition about non-verbal communication, where participants discover a repertoire of expression possibilities with the help of deaf and hearing impaired guides and trainers. Participants enter an area of complete silence, wearing noise-cancelling heads... | milkshake721/2.1M-wiki-STEM |
Dialogue in Silence-Background and history-In 2005, the World Health Organization (WHO) estimated 278 million people worldwide having moderate to profound hearing loss in both ears or are born deaf. "The impact of hearing impairment on a child's speech, language, education and social integration depends on the level a... | milkshake721/2.1M-wiki-STEM |
Dialogue in Silence-Background and history-Corporate learning workshops are offered as a spin off from the actual exhibition. All Dialogue in Silence exhibitions and corporate learning workshops are handled by Dialogue Social Enterprise GmbH, Hamburg. | milkshake721/2.1M-wiki-STEM |
Dialogue in Silence-The exhibition layout-»Dialogue in Silence« is an exhibition that invites visitors into a world of silence. Different forms of expression are used here and language must be visible in order to be understood. Hearing-impaired guides lead visitors through the exhibition, which is totally soundproof. I... | milkshake721/2.1M-wiki-STEM |
Dialogue in Silence-The exhibition layout-The exhibition consists of a series of circular rooms dedicated to different aspects of non-verbal communication. All walls are specially constructed with a fabric absorbing sound to the best of effects, while providing a monochromatic background. The visitor’s visual concentra... | milkshake721/2.1M-wiki-STEM |
Dialogue in Silence-Venues-Dialogue in Silence currently presented in the following venues around the world: Dialoghaus Hamburg, Germany: Dialog im Stillen Children's Museum Holon, Israel: Invitation to Silence Diyalog Müzesi Istanbul, Turkey: Sessizlikte Dyjalog | milkshake721/2.1M-wiki-STEM |
Transient modelling-Transient modelling-Transient modelling is a way of looking at a process with the primary criterion of time, observing the pattern of changes in the subject being studied over time. Its obverse is Steady state, where you might know only the starting and ending figures but do not understand the proce... | milkshake721/2.1M-wiki-STEM |
Transient modelling-Transient modelling-Transient models will reveal the pattern of a process, which might be sinusoidal or another shape that will help to design a better system to manage that process. Transient models can be done on a spreadsheet with an ability to generate charts, or by any software that can handle ... | milkshake721/2.1M-wiki-STEM |
Transient modelling-Transient modelling-A simple example is a garden water tank. This is being topped up by rainfall from the roof, but when the tank is full, the remaining water goes to the drain. When the gardener draws water off, the level falls. If the garden is large and the summer is hot, a steady state will occu... | milkshake721/2.1M-wiki-STEM |
Transient modelling-Transient modelling-One of the best examples of transient modelling is transient climate simulation. The analysis of ice cores in glaciers to understand climate change. Ice cores have thousands of layers, each of which represents a winter season of snowfall, and trapped in these are bubbles of air, ... | milkshake721/2.1M-wiki-STEM |
Transient modelling-Transient modelling-Transient modelling is the basis of weather forecasting, of managing ecosystems, rail timetabling, managing the electricity grid, setting the national budget, floating currency, understanding traffic flows on a freeway, solar gains on glass fronted buildings, or even of checking ... | milkshake721/2.1M-wiki-STEM |
Fredholm theory-Fredholm theory-In mathematics, Fredholm theory is a theory of integral equations. In the narrowest sense, Fredholm theory concerns itself with the solution of the Fredholm integral equation. In a broader sense, the abstract structure of Fredholm's theory is given in terms of the spectral theory of Fred... | milkshake721/2.1M-wiki-STEM |
Fredholm theory-Overview-The following sections provide a casual sketch of the place of Fredholm theory in the broader context of operator theory and functional analysis. The outline presented here is broad, whereas the difficulty of formalizing this sketch is, of course, in the details. | milkshake721/2.1M-wiki-STEM |
Fredholm theory-Fredholm equation of the first kind-Much of Fredholm theory concerns itself with the following integral equation for f when g and K are given: g(x)=∫abK(x,y)f(y)dy. | milkshake721/2.1M-wiki-STEM |
Fredholm theory-Fredholm equation of the first kind-This equation arises naturally in many problems in physics and mathematics, as the inverse of a differential equation. That is, one is asked to solve the differential equation Lg(x)=f(x) where the function f is given and g is unknown. Here, L stands for a linear diffe... | milkshake721/2.1M-wiki-STEM |
Fredholm theory-Fredholm equation of the first kind-The function K(x,y) is variously known as a Green's function, or the kernel of an integral. It is sometimes called the nucleus of the integral, whence the term nuclear operator arises.
In the general theory, x and y may be points on any manifold; the real number line ... | milkshake721/2.1M-wiki-STEM |
Fredholm theory-Fredholm equation of the first kind-The actual function space used is often determined by the solutions of the eigenvalue problem of the differential operator; that is, by the solutions to Lψn(x)=ωnψn(x) where the ωn are the eigenvalues, and the ψn(x) are the eigenvectors. The set of eigenvectors span a... | milkshake721/2.1M-wiki-STEM |
Fredholm theory-Fredholm equation of the first kind-Given a Hilbert space as above, the kernel may be written in the form K(x,y)=∑nψn(x)ψn(y)ωn.
In this form, the object K(x,y) is often called the Fredholm operator or the Fredholm kernel. That this is the same kernel as before follows from the completeness of the basis... | milkshake721/2.1M-wiki-STEM |
Fredholm theory-Inhomogeneous equations-The inhomogeneous Fredholm integral equation f(x)=−ωφ(x)+∫K(x,y)φ(y)dy may be written formally as f=(K−ω)φ which has the formal solution φ=1K−ωf.
A solution of this form is referred to as the resolvent formalism, where the resolvent is defined as the operator R(ω)=1K−ωI.
Given th... | milkshake721/2.1M-wiki-STEM |
Fredholm theory-Fredholm determinant-The Fredholm determinant is commonly defined as det exp Tr Kn] where Tr K=∫K(x,x)dx and Tr K2=∬K(x,y)K(y,x)dxdy and so on. The corresponding zeta function is det (I−sK).
The zeta function can be thought of as the determinant of the resolvent.
The zeta function plays an important rol... | milkshake721/2.1M-wiki-STEM |
Fredholm theory-Main results-The classical results of the theory are Fredholm's theorems, one of which is the Fredholm alternative.
One of the important results from the general theory is that the kernel is a compact operator when the space of functions are equicontinuous.
A related celebrated result is the Atiyah–Sing... | milkshake721/2.1M-wiki-STEM |
Fredholm theory-History-Fredholm's 1903 paper in Acta Mathematica is considered to be one of the major landmarks in the establishment of operator theory. David Hilbert developed the abstraction of Hilbert space in association with research on integral equations prompted by Fredholm's (amongst other things). | milkshake721/2.1M-wiki-STEM |
Fantastická fakta-Fantastická fakta-Fantastická fakta (Fantastic facts) is a Czech monthly paranormal magazine. It deals with unexplained phenomena, UFOs, and urban legends. | milkshake721/2.1M-wiki-STEM |
Fantastická fakta-History and profile-Fantastická fakta was first published in August 1997. The headquarters is in Prague. The magazine is published on a monthly basis. The launching editor-in-chief was Vladimír Mátl. Ivan Mackerle was the chief editor from 1998 to 2002. | milkshake721/2.1M-wiki-STEM |
Derlin-1-Derlin-1-Derlin-1 also known as degradation in endoplasmic reticulum protein 1 is a membrane protein that in humans is encoded by the DERL1 gene. Derlin-1 is located in the membrane of the endoplasmic reticulum (ER) and is involved in retrotranslocation of specific misfolded proteins and in ER stress. Derlin-1... | milkshake721/2.1M-wiki-STEM |
Derlin-1-Discovery-In 2004 the DERL1 gene was discovered independently by two research groups when they were exploring the machinery of retrotranslocation in the ER in the cell. One evidence for the existence of DERL1 was provided by Professor Tom A. Rapoport and his research group at Harvard Medical School, Boston, Ma... | milkshake721/2.1M-wiki-STEM |
Derlin-1-Gene location-The human DERL1 gene is located on the long (q) arm of chromosome 8 at region 2 band 4, from base pair 123,013,164 to 123,042,423 (Build GRCh37/hg19) (map). | milkshake721/2.1M-wiki-STEM |
Derlin-1-Function and mechanism-Rerouting factor during ER stress ER stress is caused by an accumulation of unfolded or misfolded proteins in ER and is critical for cell function. The accumulation of unfolded and misfolded proteins activates an unfolded protein response (UPR) which regulate the homeostasis of the cell.... | milkshake721/2.1M-wiki-STEM |
Derlin-1-Function and mechanism-The structure of Derlin-1 The cryo-EM analysis revealed that human Derlin-1 forms a tetrameric channel across the ER membrane. Derlin-1 channel holds a short, large transmembrane funnel in the center of tetramer with a diameter about 11-13 angstrom, which might serve as a permeation path... | milkshake721/2.1M-wiki-STEM |
Derlin-1-Clinical significance-Derlin 1 (DERL1) is up-regulated in metastatic canine mammary tumors as part of the unfolded protein response. | milkshake721/2.1M-wiki-STEM |
Derlin-1-Interactions-Derlin-1 has been shown to interact with the following proteins: HRD1 VIMP US11 | milkshake721/2.1M-wiki-STEM |
Xyloglucan 4-glucosyltransferase-Xyloglucan 4-glucosyltransferase-In enzymology, a xyloglucan 4-glucosyltransferase (EC 2.4.1.168) is an enzyme that catalyzes the chemical reaction in which a beta-D-glucosyl residue is transferred from UDP-glucose to another glucose residue in xyloglucan, linked by a beta-1,4-D-glucosy... | milkshake721/2.1M-wiki-STEM |
Fleischer's syndrome-Fleischer's syndrome-Fleischer's syndrome is an extremely rare congenital anomaly characterized by displacement of the nipples, occasional polymastia, and hypoplasia of both kidneys. | milkshake721/2.1M-wiki-STEM |
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