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811 Tenth Avenue (also called the AT&T Switching Center) is a 370-foot skyscraper in the Hell's Kitchen neighborhood of New York City's Manhattan borough. It was designed by Kahn & Jacobs and completed in 1964, occupying the full block of 10th Avenue's western side between West 53rd and West 54th Streets. Windowless and designed to withstand a nuclear blast, it was built by AT&T to house telephone switching equipment. "It was the first of several windowless buildings to be constructed" by the telecommunications company in Manhattan, "and it caused considerable controversy", the New York Times wrote in 1975. After 1985, it was used by the National Security Agency to eavesdrop on U.S. citizens under its Fairview surveillance program. In 2000, AT&T upgraded the facility from a "hardened Telco data center" to an "AT&T Internet Data Center," according to an AT&T fact sheet on the facility. As of 2014, it contains four 2,000-kilowatt generators, along with three 20,000-gallon storage tanks for fuel oil, to provide power during interruptions to the grid. Notes AT&T buildings Telephone exchange buildings Telecommunications buildings in the United States Communication towers in the United States Hell's Kitchen, Manhattan 1964 establishments in New York City Towers completed in 1964 1960s architecture in the United States Brutalist architecture in New York City
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In mathematics mirror descent descent is an iterative optimization algorithm for finding a local minimum of a differentiable function. It generalizes algorithms such as gradient descent and multiplicative weights. History Mirror descent was originally proposed by Nemirovski and Yudin in 1983. Motivation In gradient descent applied to a differentiable function , one starts with a guess for a local minimum of , and considers the sequence such that (assuming a constant learning rate) We have a monotonic sequence so, hopefully, the sequence converges to the desired local minimum. This can be reformulated by noting that In other words, minimizes the first-order approximation to at with added proximity term . This Euclidean distance term is a particular example of a Bregman distance. Using other Bregman distances will yield other algorithms such as Hedge which may be more suited to optimization over particular geometries. Formulation We are given convex function to optimize over convex set , and given some norm on . We are also given differentiable convex function , -strongly convex with respect to the given norm. This is called the distance-generating function, and its gradient is known as the mirror map. Starting from initial , in each iteration of Mirror Descent: Map to the dual space: Update in the dual space using a gradient step: Map pack to the primal space: Project back to the feasible region : , where is the Bregman divergence Extensions Mirror descent in the online optimization setting is known as Online Mirror Descent (OMD). See algo Gradient descent Multiplicative weight update method Hedge algorithm Bregman divergence References External links Mathematical optimization Optimization algorithms and methods Gradient methods
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Nicos Christofides (born 1942 in Cyprus; died 2019) was a Cypriot mathematician and professor of financial mathematics at Imperial College London. Christofides studied electrical engineering at Imperial College London, where he also received his PhD in 1966 (dissertation: The origin of load losses in induction motors with cast aluminum rotors). He was briefly with Associated Electrical Industries and then again at Imperial College. In 1976, he devised Christofides algorithm, an algorithm for finding approximate solutions to the travelling salesman problem. Christofides algorithm is considered "groundbreaking" and has collected over 2200 citations. In 1982 he became professor of operations research. In 1990, he was the co-founder and director of the Centre for Quantitative Finance (now the Institute for Financial Engineering). Christofides became Professor Emeritus of Quantitative Finance at Imperial College London in 2009. He passed away in 2019. References 1942 births 2019 deaths Cypriot mathematicians Greek Cypriot people
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The Optimist was a 2013 alternate reality game created by Walt Disney Imagineering as a tie-in to the 2015 film Tomorrowland directed by Brad Bird. The game was set in and around Anaheim, California and the Disneyland theme park and ran for six weeks from July 3, 2013, to August 11, 2013, with a finale event at the 2013 D23 Expo fan convention. The story was about a fictional alternate history of Walt Disney and his involvement in a secret society connected to the 1964 World's Fair and an optimistic vision of the future. Background The game was created by Walt Disney Imagineering. Imagineer Sara Thacher provided creative direction. Fictional Story The game began on July 3, 2013, with the blog of a fictional college student named Amelia whose grandfather Carlos Moreau had worked with Walt Disney. Players learned about a mysterious group called "Plus Ultra", which was founded in 1889 and included Gustave Eiffel, Jules Verne, Thomas Edison, Nikola Tesla, and Walt Disney. In this alternate history, Carlos Moreau sold a short story called Orbit's Story to Disney and collaborated with Disney's Special Projects team on the 1964 World's Fair. A fictional artist named Wallace shared maps of the park and sent postcards to participants. He had a booth at the 2013 D23 Expo fan convention as part of the game's finale event. Gameplay Clues were revealed through character blogs. Amelia posted scans and articles for her grandfather, including a phone number connected to a fictional construction company.
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Other clues led to real-world locations, like a scanned napkin that directed players to the real-life Tam O'Shanter Inn, one of Walt Disney's favorite restaurants. Players were also invited to the private restaurant Club 33 to have conversations with the character Wallace to learn more about the history of the secret society. Through Wallace's blog, players found maps and clues that led to hidden clues inside the Disney parks. One clue was hidden on a girder above the "Tomorrowland" monorail platform in an ink that was only visible when using a camera flash. Wallace invited players to a live chat with Imagineer Bob Gurr. For the last event before the game finale, 100 players met for a tour of Walt Disney's private apartment over Main Street, U.S.A.. D3 Expo The finale of The Optimist took place from 9–11 August 2013 at the 2013 D23 Expo fan convention. Tomorrowland co-writers Brad Bird and Damon Lindelof did a presentation in which they shared a fake picture of Walt Disney and a "newly found" animation that described the secret society "Plus Ultra". Players could meet with the fictional character Wallace at his booth at the 2013 D23 Expo fan convention. If they gave him the correct secret code, he would tell them about Walt Disney's vision of the future, and give them a stylized map of Disneyland. Players had to work together inside the theme park by combining their maps, which led to a finale inside the park's cinema. A film inside the cinema revealed a final message from members of the secret society, welcoming the players as its newest members.
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The players received special commemorative pins. References Transmediation Alternate reality games
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Biothesiometry is a noninvasive medical test used to quantify the perception of vibration by measuring its threshold. It is used in neurology, electrophysiology to diagnose a number of conditions, like diabetic neuropathy and erectile dysfunction, where the vibration perception threshold (VPT) would be higher than average. The numerical nature of the test can help stage the progression of disease or complications. The test is done through a biothesiometer, which is composed of a handheld probe wired to a display unit. Both digital and analog types are commercially available, giving the reading on either a dial or a screen. In a systematic review of screening methods for pediatric diabetic peripheral neuropathies, biothesiometry and fine microfilaments were shown to be the only diagnostic methods with high sensitivity and specificity. References Neurology Electrophysiology Medical equipment Medical tests
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The OnePlus 10 Pro is an Android-based smartphones manufactured by OnePlus, unveiled on January 11, 2022. References OnePlus mobile phones Android (operating system) devices Mobile phones with multiple rear cameras Mobile phones with 8K video recording
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Tech Against Terrorism is a United Nations-backed international initiative founded in April 2017 to combat terrorist activity within the online technology sphere. It builds tools to help other companies combat online terrorist activities. Founding members include the United Nations Counter-Terrorism Committee Executive Directorate and ICT4Peace. References See also Global Internet Forum to Counter Terrorism External links Internet-related organizations Counter-terrorism
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SquarEat is a Florida-based American processed food company that sells food packaged as small square blocks. The size and shape of the 50-gram food portions is the same for all the various packaged foods, regardless of contents. The company sells them packed as meal boxes consisting of either four or six squares. References External links Food companies 2020 establishments in Florida
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The MV Millennial Spirit is a Moldovan chemical tanker which was shelled by Russian warships in the Black Sea during the 2022 Russian Invasion of Ukraine. It was built in 1974 and measures long with a beam of , and assessed at and . Characteristics The Millennial Spirit is a 2,200-ton chemical tanker which is long, has a beam of , and a draught of . It has a single deck and a crew of 12. History Building The Millennial Spirit was constructed in Lauenburg, Germany, by shipbuilder J.G. Hitzler Schiffsw. und Maschinenfabrik. It was completed on 22 June 1974 under its first recorded name Essberger Pilot with an original port of registry at Limassol, Cyprus. Over the following years, the ship would change names several times, including Solvent Explorer, Tom Lima, and Hordafor Pilot. Operation with Nesskip In August 2001 the tanker was acquired by Icelandic shipping firm Nesskip along with . Named MV Freyja, it was operated by Nesskip until 2015, registered in Valletta, Malta. It was named after the Norse goddess of love, Freyja, and operated around Europe, stopping at ports such as Immingham and Delfzijl. Shelling On 25 February 2022, the Millennial Spirit was carrying 600 tons of diesel fuel and was transiting through the Black Sea. Russian warships reportedly shelled the tanker twelve miles south of the Ukrainian port of Yuzhne. The ship had a crew of twelve who were predominantly Russian; two were injured and the other ten were forced to abandon ship in lifejackets. All twelve crew were rescued by Ukrainian authorities.
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Early reports indicated that the vessel was flying under the Romanian flag, a country which is in NATO, prompting concerns about an attack on a NATO member. However, these reports turned out to be false and Moldova's naval agency confirmed that the Millennial Spirit was Moldovan. See also References 1974 ships Ships of Iceland Ships of Moldova Tankers of Malta Maritime incidents in 2022 2022 in Moldova Chemical tankers 2022 Russian invasion of Ukraine Russo-Ukrainian War
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Matilde Noemí Lalín is an Argentine-Canadian mathematician specializing in number theory and known for her work on L-functions, Mahler measure, and their connections. She is a professor of mathematics at the Université de Montréal. Education and career Lalín is originally from Buenos Aires, and is a double citizen of Argentina and Canada. As a high school student, she represented Argentina twice in the International Mathematical Olympiad, in 1993 and 1995, earning a silver medal in 1995. She earned a licenciatura in 1999 from the University of Buenos Aires. After starting graduate study at Princeton University and spending a term as a visiting student at Harvard University, she completed her doctorate in 2005 at the University of Texas at Austin. Her dissertation, Some Relations of Mahler Measure with Hyperbolic Volumes and Special Values of L-Functions, was supervised there by Fernando Rodriguez-Villegas. She became a postdoctoral researcher at the Institute for Advanced Study, Mathematical Sciences Research Institute, Institut des Hautes Études Scientifiques, Max Planck Institute for Mathematics, and Pacific Institute for the Mathematical Sciences, before obtaining a tenure-track faculty position in 2007 as an assistant professor of mathematics at the University of Alberta. She moved to the Université de Montréal in 2010, earned tenure as an associate professor there in 2012, and was promoted to full professor in 2018. Recognition Lalín is the 2022 winner of the Krieger–Nelson Prize of the Canadian Mathematical Society, "for her outstanding contributions to research in Number Theory and related areas".
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References External links Home page Year of birth missing (living people) Living people Argentine mathematicians Argentine women mathematicians Canadian mathematicians Canadian women mathematicians University of Buenos Aires alumni University of Texas at Austin alumni University of Alberta faculty Université de Montréal faculty
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Samsung Galaxy Book Pro is a notebook computer announced by Samsung Electronics in April 2021. This device has 13.3 inches display with 1080p display and 720p webcam. References Samsung Galaxy Computer-related introductions in 2021
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Voicemeeter is a virtual mixing console and sound card running on the Windows operating system. It allows the processing of any audio signal - whether its source is physical (microphone) or virtual (application) - and its transmission to physical audio devices and/or applications. Voicemeeter offers many useful features for audio activities: VoIP users, video gamers, users of audio software such as VLC media player, Audacity, etc. Three versions of the software are available: Voicemeeter (or "Voicemeeter Standard") which offers two physical and one virtual inputs/outputs, Voicemeeter Pro (called "Banana") with three physical and two virtual inputs/outputs, an integrated recorder and additional audio processing, and Voicemeeter "Potato" offering five physical and three virtual inputs/outputs. Distributed according to the donationware model, the application can be downloaded for free. Features Virtual mixing console As a virtual mixing console, Voicemeeter makes it possible to interconnect and mix audio streams from many audio devices and applications thanks to the concept of physical inputs/outputs (for audio devices) and virtual inputs/outputs (for applications): USB microphone, DVD players, video games, iTunes, VoIP applications, Digital Audio Workstation (DAW), etc. Aggregation of audio devices and applications Voicemeeter makes it possible to mix multiple audio sources from different devices, such as a USB microphone or line input, with the sound of PC applications, such as a video player. Voicemeeter Standard offers two physical inputs and one virtual input. Voicemeeter Banana offers three physical inputs and two virtual ones. Voicemeeter Potato offers five physical inputs and three virtual ones.
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Mixing and real-time processing Just like a physical mixing console, Voicemeeter allows you to mix and process the different signals in real time with, in particular, equalizers, compressors and noise gates ("Audibility" button for Voicemeeter Standard), and gain controls materialized by vertical sliders. For the physical inputs, the Intellipan offers equalizers presented in the form of a two-dimensional panel allowing the rapid and almost instinctive correction of the intelligibility of the voice. In addition, Voicemeeter Banana has an advanced independent equalizer on each of the bus outputs. Multiple outputs The generated audio signals can then be sent separately to several physical (speakers, television, Bluetooth...) or virtual (Skype, Audacity, OBS, Twitch...) playback devices. Voicemeeter Standard has one physical output and one virtual output. Voicemeeter Banana has three physical outputs and two virtual outputs. Voicemeeter Potato has five physical outputs and three virtual outputs. Voicemeeter thus makes it easy, for example, to change your voice, add music and send all in a conversation via Skype or play 5.1 video games while conversing with your team. Built-in recording Voicemeeter Banana integrates an audio recorder, in the form of a cassette tape recorder from the 1980s, which allows recording bus inputs or outputs in WAV, AIFF, BWF and MP3 format. It is also an audio player supporting audio files in WAV, AIFF, MP3, M4A, MP4, MOV, AVI, WMA, WMV format,.
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Universal Audio Interface Voicemeeter can use Windows audio devices with WASAPI (WDM), Kernel Streaming or Multimedia Extensions interfaces and it can also manage an ASIO audio device (on output A1). It has one to three virtual inputs/outputs with all interfaces: WASAPI, KS, MME, WaveRT, DirectX as well as ASIO (to connect professional audio software to Voicemeeter). Voicemeeter Banana also offers a virtual ASIO insert driver to connect a VST host application (DAW) and process the various Voicemeeter inputs with software plug-in or any professional audio applications. Built-in audio device drivers Voicemeeter also comes with recording and playback audio drivers (giving the virtual inputs / outputs). Once these have been configured as default devices, they allow you to perform all previously mentioned tasks while avoiding conflicts between audio devices. Audio network The VBAN protocol makes it possible to send / receive uncompressed audio streams over a local area network and thus to interconnect computers without having to use audio cables. MIDI control The control of the main parameters by a MIDI control surface allows managing all the sound of the computer with a dedicated controller (Korg NanoKontrol for example). Programmable control and remote control Voicemeeter is installed with MacroButton, which allows you to create complex functions to act on one or more of the settings of Voicemeeter with a keyboard key (keyboard shortcut), a MIDI code, a threshold on an incoming signal (trigger) or an Xbox controller button (XInput).
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It is thus possible to change the Voicemeeter configuration with a single click and instantly adapt it to the different uses that one makes of it. VoicemeeterRemote API Voicemeeter can be considered as a system audio component that can be used by any application. An API called VoicemeeterRemote API allows read and write actions on Voicemeeter parameters and thus control Voicemeeter from a program to use it as an audio service or as a virtual sound card. A program can thus set up signal processing callbacks to process the sound in Voicemeeter. Any programming language can be used. Documentation Voicemeeter has a dedicated forum and a Discord server, managed by the development team and expert users. A detailed and regularly updated manual is also available for download on the publisher's website. In addition to the software's features, it presents the basic configuration to be carried out, proposes practical case studies and provides solutions to the most common problems. Video tutorials are also regularly posted on the Internet by Voicemeeter users. Distribution model Voicemeeter is distributed under the donationware model. The application can therefore be downloaded and used free of charge, without any limitation of functionalities. The user is then invited to make a donation to the developer, by selecting the amount of his contribution.
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See also Mixing console Audio mixing Signal processing References External links Official website Editor's website Voicemeeter Standard product page Voicemeeter Banana product page Voicemeeter Potato product page Voicemeeter Standard user guide Voicemeeter Banana user guide Voicemeeter Potato user guide User forum VoicemeeterRemote API Signal processing Digital audio Audio interfaces Audio network protocols Digital audio recording‎ Audio recording software Audio software‎ Free audio software‎ Audio mixing software‎ Voice over IP‎ Sound production technology Audio mixing Mixing consoles‎ Windows multimedia software
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Whopper Sacrifice was an advertising campaign by Burger King which was launched in January 2009. After unfriending 10 people on Facebook, people were eligible for a free Whopper by Burger King. The app was disabled by Facebook. The campaign was developed by Crispin Porter + Bogusky. References External links on the Wayback Machine Official Facebook page on the Wayback Machine Advertising campaigns Burger King advertising Facebook criticisms and controversies
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Galaxy Surfactants Ltd. is an Indian multinational chemical company based in Mumbai, Maharashtra, India. It is a manufacturer of surfactants and speciality chemicals for cleaning and personal care space and its more than 200 products are exported to over 100 countries. Galaxy has over 1400 clients including L'Oréal, Unilever, Colgate-Palmolive, Dabur, Himalaya, and more. Performance surfactants account for 60% of revenue and specialty personal care products account for the rest. Galaxy is considered a power-player in the global surfactants market. In 2020, the annual turnover was 2,563 crore. According to Unnathan Shekhar, managing director of Galaxy Surfactants, two-thirds of their business comes from international customers. In 2020, the company spent nearly 60 crore and filed for 62 patents. History and evolution The company was founded in 1980 by Unnathan Shekhar, Geera Ramakrishnan, Shashi Shanbhag, CR Ramakrishna, and Sudhir Patil; five friends, all aged 23, who all came from different backgrounds. They began their company as contract manufacturers for Colgate-Palmolive, producing Sodium laureth sulfate in a small lab in Ghatkopar. In 1984, Galaxy opened its first plant at Tarapur and second plant for sulfonation was opened in Taloja in 1998. Galaxy also started a research centre at Navi Mumbai in 1997. In July 2009, Galaxy acquired TRI‐K Industries, a distributor and producer of specialty ingredients. This acquisition of a 30 year old New Jersey headquartered company gave the company a foothold in the United States with additional protein manufacturing facilities in New Hampshire.
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In 2011, Galaxy commissioned manufacturing plants at Zaghadia in Gujarat and Suez in Egypt at the cost of 330 crore. In 2012, Galaxy became a member of Roundtable on Sustainable Palm Oil, taking a step towards creating a sustainable palm oil supply chain. In 2018, Galaxy floated their IPO and was listed on the Indian stock exchanges (BSE & NSE). References External links Manufacturing companies based in Mumbai Chemical companies established in 1980 Chemical companies of India Indian companies established in 1980 Indian brands 1980 establishments in Maharashtra Companies listed on the National Stock Exchange of India Companies listed on the Bombay Stock Exchange
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In mathematics, and in particular algebraic geometry, K-stability is an algebro-geometric stability condition for projective algebraic varieties and complex manifolds. K-stability is of particular importance for the case of Fano varieties, where it is the correct stability condition to allow the formation of moduli spaces, and where it precisely characterises the existence of Kähler–Einstein metrics. K-stability was first defined for Fano manifolds by Gang Tian in 1997 in response to a conjecture of Shing-Tung Yau from 1993 that there should exist a stability condition which characterises the existence of a Kähler–Einstein metric on a Fano manifold. It was defined in reference to the K-energy functional previously introduced by Toshiki Mabuchi. Tian's definition of K-stability was reformulated by Simon Donaldson in 2001 in a purely algebro-geometric way. K-stability has become an important notion in the study and classification of Fano varieties. In 2012 Xiuxiong Chen, Donaldson, and Song Sun and independently Gang Tian proved that a smooth Fano manifold is K-polystable if and only if it admits a Kähler–Einstein metric. This was later generalised to singular K-polystable Fano varieties due to the work of Berman–Boucksom–Jonsson and others. K-stability is important in constructing moduli spaces of Fano varieties, where observations going back to the original development of geometric invariant theory show that it is necessary to restrict to a class of stable objects to form good moduli. It is now known through the work of Chenyang Xu and others that there exists a projective coarse moduli space of K-polystable Fano varieties of finite type. This work relies on Caucher Birkar's proof of boundedness of Fano varieties, for which he was awarded the 2018 Fields medal.
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Due to the reformulations of the K-stability condition by Fujita–Li and Odaka, the K-stability of Fano varieties may be explicitly computed in practice. Which Fano varieties are K-stable is well understood in dimension one, two, and three. Definition and characterisations The notion of K-stability for Fano manifolds was originally specified using differential geometry by Tian, who extended the purely analytical notion of the Futaki invariant of a vector field to the case of certain normal varieties with orbifold singularities. This was later reformulated in a purely algebro-geometric form by Donaldson, but this general definition lost a direct link to the geometry of Fano varieties, instead making sense for the broader class of all projective varieties. Work of Tian shows that the Donaldson–Futaki invariant specifying the weight of the -action on the central fibre of a test configuration can be computed in terms of certain intersection numbers (corresponding to the weight of an action on the so-called CM line bundle). In the Fano case these intersection numbers, which involve the anticanonical divisor of the variety and its test configuration, can be given powerful alternative characterisations in terms of the algebraic and birational geometry of the Fano variety. Thus in the case of Fano varieties, there are many different but equivalent characterisations of K-stability, and some of these characterisations lend themselves to explicit calculation or easier proofs of results. In this section all definitions are stated in the generality of a -Fano variety, which is a Fano variety with ample -Cartier anticanonical divisor and at worst Kawamata log terminal (klt) singularities.
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The definitions of K-stability can be made for any -Gorenstein Fano variety (that is, any Fano variety where the anticanonical divisor is -Cartier), however it was proven by Odaka that every K-semistable Fano variety has at worst klt singularities, so for the purpose of studying K-stability it suffices to assume at worst klt singularities. Every definition can be extended in a straightforward way to -log Fano pairs, a pair of a klt variety X and klt divisor such that is ample and -Cartier. Traditional definition The definition of K-stability for a Fano manifold, or more generally a -Fano variety, can be given in many forms. The general definition of K-stability in terms of test configurations (see K-stability for more details) can be simplified if the type of test configuration one considers can be simplified. For example, in the case of toric varieties, one may always take test configurations which are also toric, and this leads to a recharacterisation of K-stability in terms of convex functions on the moment polytope of the toric variety, as was observed by Donaldson in his first paper on K-stability. In the case of Fano manifolds, it was already implicit in the work of Tian that one may restrict to test configurations with a simplified central fibre, in that case where the central fibre is a normal variety. In this case there exists an intersection-theoretic formula for the Donaldson–Futaki invariant of a normal test configuration for .
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Explicitly, one extends the test configuration to a test configuration over the complex projective line trivially at the point , one has a formula With respect to this invariant, if is a -Fano variety, we say is K-semistable if for any normal test configuration . K-stable if for any normal test configuration which is not isomorphic to the trivial test configuration outside a set of codimension 2. Uniformly K-stable if where is the -norm of the test configuration and is a uniform constant depending only on . K-unstable if is not K-semistable. According to the above definitions, there are implications Uniformly K-stable K-stable K-semistable The above definitions are not well-suited to the situation where the Fano variety has automorphisms. When the space of automorphisms is positive-dimensional , it was observed by Akito Futaki that there are certain test configurations constructed out of the automorphisms of which are "trivial" for the perspective of testing K-stability. In this case one should restrict to those test configurations which are equivariant with respect to the action of a maximal torus , and this leads to the notion of K-polystability or reduced K-stability. We say is K-polystable if for any test configuration and equality holds precisely when is isomorphic to outside a set of codimension 2. Reduced uniformly K-stable if where is the reduced -norm of the test configuration. As for the case where the automorphism group is not positive-dimensional, we have implications Reduced uniformly K-stable K-polystable K-semistable The condition of uniform stability is a priori stronger than stability, because it assumes a uniform bound above zero for the Donaldson–Futaki invariant of the test configuration.
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However it turns out in the case of -Fano varieties uniform stability is actually equivalent to stability.Theorem (Liu–Xu–Zhuang):Liu, Y., Xu, C. and Zhuang, Z., 2021. Finite generation for valuations computing stability thresholds and applications to K-stability. arXiv preprint arXiv:2102.09405. (Reduced) uniform K-stability is equivalent to K-(poly)stability for -Fano varieties.Many results can be proved more easily for uniform K-stability because a uniform bound is stronger than a non-uniform bound, so often one works with this definition as opposed to the traditional K-(poly)stability. In the more general case of a polarised variety considered in the article on K-stability it is still an open and important problem to characterise how (reduced) uniform K-stability relates to K-(poly)stability. Special test configurations As mentioned above, sometimes the type of test configuration to be considered can be simplified. In the case of Fano varieties, a special test configuration is a test configuration such that we have a rational equivalence of divisors for some , and the central fibre is also a -Fano variety. One may prove that given any test configuration , there exists a special test configuration such that This implies that for the purposes of testing the K-stability of , it suffices restrict to just looking at the above definitions of K-stability for special test configurations. The fact that one may assume the central fibre of the test configuration is also Fano leads to strong links with birational geometry and the minimal model program, providing a number of alternative characterisations of K-stability described in the following sections.
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The main alternative characterisation is in terms of a different notion of Ding stability, which is a variation of the K-stability condition for the Ding invariant where one adds on the log canonical threshold of the test configuration. The Ding invariant can only be defined in the setting of Fano varieties. Using this new invariant instead of , one can define every notion of Ding stabliity exactly as above, leading to Ding (semi/poly)stability and uniform versions. The Ding invariant has better formal properties with respect to algebraic geometry than the Donaldson–Futaki invariant. It is known that when a test configuration is special, the Ding invariant agrees with the Donaldson–Futaki invariant up to a constant factor, and so for Fano varieties Ding stability is equivalent to K-stability. Alpha invariant The first known effective criteria to test for K-stability was developed by Tian. Originally Tian's work was designed to directly provide a criterion for the existence of a Kähler–Einstein metric on a Fano manifold, and by later work it is known that every Kähler–Einstein Fano manifold is K-polystable. Tian's original definition of the alpha invariant was analytical in nature, but can be used to verify the existence of a Kähler–Einstein metric in practice. The alpha invariant of Tian can be defined relative to a group of automorphisms , and the alpha invariant corresponds to the concept of reduced K-stability or K-polystability above. Fix a -invariant Kähler metric on a Fano manifold. Define a special class of Kähler potentials by Then the alpha invariant is defined by The importance of this invariant is as follows: Theorem: (Tian) Let be a smooth Fano manifold of dimension .
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If the alpha invariant then admits a -invariant Kähler–Einstein metric. It was later observed by Odaka–Sano that the alpha invariant can be given a purely algebro-geometric definition in terms of an infimum of the log canonical threshold over all -invariant linear systems contained inside . Precisely, Demailly showedThis allows purely algebro-geometric proofs of the existence of Kähler–Einstein metrics. Beta invariant The beta invariant makes close contact with birational geometry. This invariant was developed by Fujita and Li in an attempt to discover a characterisation of K-stability in terms of divisors or valuations of the Fano variety . This work was inspired by earlier ideas of Ross–Thomas which attempted to describe K-stability in terms of algebraic invariants coming out of subschemes of the variety . Whilst it is not possible to show that this "slope" K-stability is equivalent to K-stability, by passing not just to divisors inside but divisors inside any birational model over , one obtains "enough" objects to accurately test for K-stability. In particular Fujita realised that Ross–Thomas's notion of slope K-stability was limited by only integrating up to the Seshadri constant of the subscheme, where the natural divisor on the blow-up becomes ample. By contract the -invariant integrates up to the pseudoeffective threshold where the natural divisor has positive volume (since every ample divisor has positive volume, the pseudoeffective threshold goes beyond the Seshadri constant). This extra information gives Fujita and Li's valuative criterion enough information to fully characterise K-stability. Suppose is a normal variety with -Cartier canonical divisor .
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One says is a divisor over if is a divisor contained inside some normal variety such that there exists a proper birational morphism (for example given by a blow up of ). One defines the log discrepancy of a divisor over as where is the discrepancy of the divisor in the sense of birational geometry (see canonical singularity). The discrepancy of a divisor over is defined as follows. Away from the exceptional locus of the birational morphism , the canonical divisors of and agree. Therefore, their difference is given by some sum of prime divisors contained in the exceptional locus of . That is, where . By definition and when is not one of the prime divisors in the exceptional locus. The log discrepancy of measures the singularities of the Fano variety. In particular X is Kawamata log terminal if and only if for any over . To define the beta invariant, one also needs the a volume term. For a divisor over , define Here the volume of a divisor measures the rate at which its space of sections grows in comparison to the expected dimension. Namely, where . Finally, the beta invariant was defined by Fujita and Li as Despite the complicated definition, due to the powerful tools of birational geometry, this invariant may be explicitly computed in practice for many classes of Fano varieties where the structure of divisors in their birational models is known. This can often be achieved with the use of computational algebraic geometry or by-hand calculation. The relevance of the -invariant is in the following characterisation of K-stability first observed (in one direction) by Fujita and Li independently.
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Theorem: (Fujita–Li, Blum–Xu) A -Fano variety is K-semistable if and only if for all divisors over . Furthermore is K-stable if and only if for all divisors over . Delta invariant The delta invariant can be defined as a "multiplicative" version of the "additive" beta invariant. The delta invariant of a divisor over is defined by The delta invariant of is then given by a uniform measurement of the delta invariants of all divisors over . The delta invariant of a divisor is conceptually similar to the beta invariant, however it was observed by Fujita–Odaka that one can compute the delta invariant as a limit of "quantized" delta invariants as . The quantized delta invariants can be computed in terms of m-basis type divisors which are given by choices of bases in the fixed finite-dimensional vector space . Thus the delta invariant is generally more computable and more theoretically powerful than its predecessors, and much progress on the explicit computations of K-stability for Fano varieties, and in the theory of moduli of Fano varieties has occurred since its introduction. Its initial importance to the theory of K-stability is captured in the following characterisation. Theorem: (Fujita–Odaka, Blum–Xu) A -Fano variety is K-semistable if and only if . Furthermore it is uniformly K-stable if and only if . The algebraic -invariant can make contact with the explicit analytical properties of Kähler–Einstein metrics. In particular, one may define the greatest Ricci lower bound as the supremum of all such that there exists a Kähler metric such that . This is the limit of how far one can traverse the natural continuity method to solve the Kähler–Einstein equation.
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If the greatest Ricci lower bound takes the value then one can complete the continuity method to derive the existence of a Kähler–Einstein metric. It turns out that precisely how far you can go along this continuity method, the greatest Ricci lower bound, is exactly given by the -invariant. That is, In the case of toric Fano manifolds an even more geometric interpretation of the delta invariant was derived by Li. For such a toric Fano , the origin is always contained in the interior of the moment polytope . If denotes the barycentre of the polytope and denotes the point on the boundary of the polytope intersecting the ray , then Li showed that the greatest Ricci lower bound is given by the ratio . In particular the toric Fano has if and only if its barycentre is the origin. Interpreted using the delta invariant (and indeed using earlier results), one concludes that a toric Fano manifold is K-stable if and only if the barycentre of its polytope is the origin. Existence of Kähler–Einstein metrics From its initial introduction, the notion of K-stability has been intimately linked to the existence of Kähler–Einstein metrics on Fano manifolds. There are now many theorems which relate certain K-stability assumptions to the existence of solutions. These conjectures fall broadly under the title of the Yau–Tian–Donaldson conjecture. In the case of Fano varieties this conjecture asserts:Conjecture (Yau–Tian–Donaldson): A Fano manifold admits a Kähler–Einstein metric if and only if it is K-polystable.For Fano manifolds this conjecture was originally proposed by Yau and Tian, and a more general form was stated by Donaldson which extends beyond just the case of Fano manifolds.
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Nevertheless, the conjecture even in the case of Fanos has come to be known as the Yau–Tian–Donaldson conjecture. See K-stability for more discussion of the general conjecture. In the case of Fano manifolds, the YTD conjecture admits generalisations beyond the case of smooth varieties and forms of the conjecture are now known for singular Fanos and log Fanos. Smooth Fano varieties The forward direction of the conjecture, that a Fano manifold with a Kähler–Einstein metric is K-polystable, was proven by Tian in his original paper when the Fano manifold has a discrete automorphism group, that is, . This direction was proven in full generality, removing the assumption that the automorphism group was discrete, by Berman. The reverse direction of the Yau–Tian–Donaldson conjecture was first resolved in the smooth case as stated above by Chen–Donaldson–Sun, and at the same time by Tian. Chen, Donaldson, and Sun have alleged that Tian's claim to equal priority for the proof is incorrect, and they have accused him of academic misconduct. Tian has disputed their claims. Chen, Donaldson, and Sun were recognized by the American Mathematical Society's prestigious 2019 Veblen Prize as having had resolved the conjecture. The Breakthrough Prize has recognized Donaldson with the Breakthrough Prize in Mathematics and Sun with the New Horizons Breakthrough Prize, in part based upon their work with Chen on the conjecture.Theorem: If a Fano manifold is K-polystable, then it admits a Kähler–Einstein metric.The proofs of Chen–Donaldson–Sun and Tian were based on a delicate study of Gromov–Hausdorff limits of Fano manifolds with Ricci curvature bounds.
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More recently, a proof based on the "classical" continuity method was provided by Ved Datar and Gabor Székelyhidi, followed by a proof by Chen, Sun, and Bing Wang using the Kähler–Ricci flow. Robert Berman, Sébastien Boucksom, and Mattias Jonsson also provided a proof from a new variational approach, which interprets K-stability in terms of Non-Archimedean geometry. Of particular interest is that the proof of Berman–Boucksom–Jonsson also applies to the case of a smooth log Fano pair, and does not use the notion of K-polystability but of uniform K-stability as introduced by Dervan and Boucksom–Hisamoto–Jonsson. It is now known that uniform K-stability is equivalent to K-stability and so BBJ's proof provides a new proof of the full YTD conjecture. Building on the variational techniques Berman–Boucksom–Jonsson and the so-called quantized delta invariants of Fujita–Odaka, Zhang produced a short quantization-based proof of the YTD conjecture for smooth Fano manifolds. Using other techniques entirely, Berman has also produced a proof of a YTD-type conjecture using a thermodynamic approach called uniform Gibbs stability, where a Kähler–Einstein metric is constructed through a random point process. Singular Fano varieties and weak Kähler–Einstein metrics The new proof of the Yau–Tian–Donaldson conjecture by Berman–Boucksom–Jonsson using variational techniques opened up the possible study of K-stability and Kähler–Einstein metrics for singular Fano varieties. The variational techniques used rely on uniform K-stability as described above. The result of Berman that a Fano manifold admitting a Kähler–Einstein metric is K-polystable was proven in the full generality of a -log Fano pair, admitting a weak Kähler–Einstein metric.
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A weak Kähler–Einstein metric on a -Fano variety is a positive -current which restricts to give a smooth Kähler–Einstein metric on the smooth locus of . By requiring a compatibility with a divisor , this definition can be extended to a weak Kähler–Einstein metric on a pair . In this generality, the reverse direction of the YTD conjecture was proven by Li–Tian–Wang in the case where the automorphism group is discrete, and in full generality by Li.Theorem (Li–Tian–Wang, Li): A -log Fano pair which is reduced uniformly K-stable admits a weak Kähler–Einstein metric.By the resolution of the finite generation conjecture by Liu–Xu–Zhuang it is known that reduced uniform K-stability is equivalent to K-polystability, so combined with Berman's result the Yau–Tian–Donaldson conjecture is true in complete generality for singular Fano varieties.Theorem (Li–Tian–Wang, Li, Berman, Liu–Xu–Zhuang): A -log Fano pair admits a weak Kähler–Einstein metric if and only if it is K-polystable. Moduli spaces of K-stable Fano varieties The construction of moduli spaces is a central problem in algebraic geometry. The construction of moduli of algebraic curves spurred the development of geometric invariant theory, stacks, and classification of algebraic surfaces has motivated results throughout algebraic geometry. The case of moduli spaces of canonically polarised varieties was settled using techniques arising from the minimal model program by Kollár–Shepherd-Barron leading to the so-called KSB moduli spaces of varieties of general type. A key property of varieties of general type which allow the construction of moduli is the lack of automorphisms of such varieties.
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This does not hold for Fano varieties, which can often have very large automorphism groups, so the minimal model program did not directly find applications to the construction of moduli of Fano varieties, and it became clear that K-stability was the correct algebro-geometric notion to allow the formation of moduli in this case. Moduli spaces of K-stable varieties are known as K-moduli. Smooth case In the case of smooth Fano manifolds, one may use techniques arising out of the Yau–Tian–Donaldson conjecture to construct the moduli space analytically. In particular work of Odaka and Donaldson building upon the ideas of Gromov compactness of Kähler–Einstein Fanos used in the proof of the YTD conjecture implies the existence of moduli spaces of smooth Fano Kähler–Einstein manifolds with discrete automorphism groups. These moduli spaces are Hausdorff and have at worst quotient singularities. By the YTD conjecture these are alternatively moduli spaces of smooth K-polystable Fano varieties with discrete automorphism groups. However, a Gromov–Hausdorff limit of smooth Fano Kähler–Einstein manifolds may lead to a singular -Fano variety, so the moduli spaces described by Odaka and Donaldson is not compact, a criterion that is often desirable in the formation of moduli spaces. One method of compactifying the moduli space of smooth K-polystable Fanos is to pass to a moduli space of singular K-polystable Fanos, and use algebraic geometry to prove its projectivity. The Yau–Tian–Donaldson conjecture for singular Fano varieties would give this compactification an alternative point of view as consisting of singular Fano varieties with weak Kähler–Einstein metrics. General case The standard algebraic technique to construct moduli spaces utilizes geometric invariant theory.
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Typically to apply Mumford's geometric invariant theory to construct moduli, one must embed a family of varieties inside a fixed finite-dimensional projective space. Such a family then defines a locus of points in the corresponding Hilbert scheme of the projective space, which is a projective scheme on which the group of projective automorphisms act. GIT stability with respect to this linearisation is called Hilbert stability. If this locus forms an open set, then GIT may be used to construct a quotient which parametrises these objects. In good circumstances this quotient may be proper and projective. It is not always possible to embed a family of varieties inside a fixed projective space and therefore describe their moduli with geometric invariant theory, and this special property is called boundedness. A fundamental property of Fano varieties is that they fail to be bounded, and thus their stability cannot be reasonably captured by any finite-dimensional geometric invariant theory. This explains why K-stability requires one to consider test configurations for which the relatively ample line bundle can correspond to some power for arbitrarily large. However, results of Caucher Birkar showed that certain families of Fano varieties with volume bounded below form bounded families, which suggests that it may be possible to study stability of volume-bounded families of Fano varieties to form moduli spaces. For this work Birkar was awarded the Fields Medal in 2018. It was proven by Jiang that K-semistable -Fano varieties with volume bounded below form a bounded family. Thus for a given volume there exists a uniform integer such that every K-semistable -Fano with anticanonical volume larger than or equal to admits an embedding inside the fixed projective space .
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The openness of this locus of K-semistable Fanos was proven by Blum–Liu–Xu and Xu. This implies the existence of an Artin stack of finite type denoted parametrising K-semistable -Fano varieties with volume bounded below by . In order to find a genuine moduli space as a projective variety or scheme, one must prove certain properties about S-completeness and -reductivity of K-semistable Fanos inside the stack . Using properties of K-polystability, these properties of the moduli stack are true and there exists a coarse moduli space for the stack which parametrises K-polystable -Fano varieties with volume bounded below by . It was proven that is proper and that the CM-line bundle is ample, meaning the coarse moduli space is also projective. The existence result for K-moduli can be summarised in the following theorem.Theorem: There exists a separated, proper, projective, good moduli space parametrising -dimensional K-polystable -Fano varieties with anticanonical volume bounded below by .The construction of the moduli space of K-polystable Fanos can be generalised to the setting of log Fano varieties. The case of singular -Fano varieties which are smoothable (that is they are limits of algebraic families of smooth K-polystable Fano manifolds) was solved earlier by Li–Wang–Xu using a combination of analytic techniques, also relying on the earlier work of Odaka, Donaldson, and Codogni–Patakfalvi. There the coarse moduli space is shown to be a scheme, but in general the existence results for K-moduli only guarantee the existence of an algebraic space. Explicit K-stability of Fano varieties The explicit study of K-stable Fano varieties precedes the algebraic notion of K-stability, and in low dimensions was of interest purely due to the study of Kähler–Einstein manifolds.
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For example, either by explicit construction or the use the Tian's alpha invariant, all smooth Kähler–Einstein manifolds of dimension 1 and 2 were known before the definition of K-stability was introduced. In dimension 3 and higher explicit constructions of Kähler–Einstein metrics become more difficult, but advances arising out of the algebraic study of K-stability have enabled explicit computations of K-polystable Fano threefolds and certain families of higher dimensional varieties, and subsequently the discovery of new Kähler–Einstein manifolds. Dimension 1 In dimension one there is a unique smooth Fano variety, the complex projective line . This variety is easily seen to be K-stable due to the existence of the Fubini–Study metric, which is a Kähler–Einstein metric, implying the K-polystability of . A purely algebro-geometric proof of the K-stability of smooth Riemann surfaces follows from the work of Ross–Thomas on slope K-stability, which is equivalent to K-stability in dimension one. In this case one may construct test configurations out of collections of points on the curve, and when the curve is smooth no points destabilise. Dimension 2 In dimension two the spaces which admit Kähler–Einstein metrics were classified by Tian. There are 10 deformation families of smooth Fano varieties in dimension two, the del Pezzo surfaces. Using the alpha invariant, Tian showed that a smooth Fano surface admits a Kähler–Einstein metric and is K-polystable if and only if it is not the blow up of the complex projective plane in one or two points. Thus 8 out of these 10 classes consist of K-polystable Fano surfaces. The K-moduli of Fano surfaces were studied in explicit examples by Tian and Mabuchi–Mukai.
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Explicit constructions of compact moduli spaces of Kähler–Einstein Fano surfaces were achieved by Odaka–Spotti–Sun. These spaces were constructed as Gromov–Hausdorff compactifications but were identified with explicit algebraic spaces of log Fano surfaces. For example, it is proven by Odaka–Spotti–Sun that the compact moduli space of smoothable Kähler–Einstein surfaces of degree four is given by the weighted projective space with the smooth Kähler–Einstein surfaces of degree four corresponding to the locus where is an ample divisor consisting of those points satisfying the equation . Dimension 3 In dimension 3 purely algebraic techniques can be used to find examples of K-stable Fano varieties which are not a priori known to admit Kähler–Einstein metrics. The Iskovskikh–Mori–Mukai classification of smooth Fano threefolds provides a natural way of breaking down the problem of studying K-stable Fano threefolds into its components. It is known that there are 105 deformation families of smooth Fano threefolds, and explicit computations using Fujita–Li's beta invariant and Fujita–Odaka's delta invariant can be used to determine which deformation families contain smooth representatives. For every deformation family it is known whether the generic element of the family is K-(poly)stable. In particular it is known that 78 out of 105 families contain a K-polystable representative in their deformation class. For 71 out of 105 families, it is known for every single member of the deformation class whether or not it is K-polystable. For many examples of the 105 deformation families, the K-stability of representative threefolds can be interpreted in terms of a natural GIT problem which describes that family, and so explicit examples of K-moduli of Fano threefolds can also be found as GIT quotients.
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For some classes of Fano threefolds the classification problem remains open. For example, it is known that the Mukai–Umemura threefold in the deformation class admits a Kähler–Einstein metric and is therefore K-polystable by work of Donaldson, who computed Tian's alpha invariant explicitly using the criterion above. This manifold has non-discrete automorphism group and which nearby deformations of are also K-polystable is not known. It is conjectured that the deformations corresponding to GIT-polystable points within the versal deformation space of should correspond to nearby K-polystable varieties. Higher dimensions The first and simplest example of a K-polystable Fano manifold in any dimension is complex projective space, which always admits the Fubini–Study metric which is Kähler–Einstein in any dimension and therefore all projective spaces are K-polystable. In general there are not many such "obvious" Kähler–Einstein metrics in higher dimensions, and one must use recent techniques of stability to find examples. For certain families of Fano varieties, K-stability can be proved in higher dimensions using either analytic techniques through the alpha invariant or purely algebro-geometric techniques with the beta or delta invariants. As an example, a Fermat hypersurface is a variety of the formThese hypersurfaces are smooth Fano manifolds with discrete automorphism group for , and it was proven by Tian using the alpha invariant that implying admits a Kähler–Einstein for , and using more detailed arguments Tian proved the existence of a Kähler–Einstein metric when . On the other hand, using the delta invariant Zhuang gave a completely algebraic proof that is K-stable for and therefore admits a Kähler–Einstein metric in these cases.
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Using the openness results for uniform K-stability and K-semistability, one can conclude from this that the generic smooth hypersurface of degree inside is K-stable. In some cases it is in fact known that all degree hypersurfaces are K-stable, such as all smooth hypersurfaces in . In addition to the study of particular Fano varieties, in certain settings K-moduli may be explicitly described in higher dimensions. For example, when the K-moduli admits an "obvious" GIT interpretation, the algebraic tools of beta or delta invariants can be used to verify that GIT stability is equivalent to K-stability for that particular problem. For example, Liu showed that for cubic fourfold hypersurfaces in , the GIT moduli space of (possibly singular) cubic fourfolds is isomorphic to the K-moduli space, and thus one obtains an explicit description of the K-stable, K-polystable, and K-semistable cubic fourfolds in terms of their GIT stability and singularity structure. In particular every smooth cubic fourfold is K-stable. References Notes Algebraic geometry
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The MV Namura Queen is a Japanese-owned bulk carrier cargo ship under the Panamanian flag registry. Characteristics The Namura Queen is a Panamax-sized bulk carrier. Its crew consists of twenty people, all of whom are Filipino. It has a gross tonnage of 47,146 tons and a carrying capacity of 85,065 tons. It is long, wide, and has a draught of . The ship has seven holds for storing the grain it transports. It is propelled by a single fixed pitch propeller powered by a diesel engine creating . History On 25 February 2022, the Namura Queen departed from Porto Torres, Italy, and went underway to the Ukrainian port city of Yuzhne to receive a shipment of grain. While in transit in the Black Sea, the cargo ship was struck on its stern side by ordnance fired from a Russian warship participating in the invasion of Ukraine. The explosion caused a fire to start on the ship, and one of the twenty crew received a slight injury to their shoulder. The Namura Queen was able to continue under its own propulsion, but it was assisted to a port in Istanbul, Turkey, by the Ukrainian tug PO Star. See also References 2020 ships Maritime incidents in 2022 2022 Russian invasion of Ukraine Russo-Ukrainian War Bulk carriers Ships built in Japan Merchant ships of Japan
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A die shot or die photography is a photo or recording of the layout of an integrated circuit, showings its design with any packaging removed. A die shot can be compared with the cross-section of an (almost) two-dimensional computer chip, on which the design and construction of various tracks and components can be clearly seen. Due to the high complexity of modern computer chips, die-shots are often displayed colourfully, with various parts coloured using special lighting or even manually. Methods A die shot is literally a picture of a computer chip without its housing. There are two ways to capture such a chip "naked" on a photo; by either taking the photo before a chip is packaged or by removing its package. Avoiding the package Taking a photo before the chip ends up in a housing is typically preserved to the chip manufacturer, because the chip is packed fairly quickly in the production process to protect the sensitive very small parts against external influences. However, manufacturers may be reluctant to share die shots to prevent competitors from easily gaining insight into the technological progress and complexity of a chip. Removing the package Removing the housing from a chip is typically a chemical process - a chip is so small and the parts are so microscopic that opening a housing (also named delidding) with tools such as saws, sanders or dremels could damage the chip in such a way that a die shot is no longer or less useful. For example, sulphuric acid can be used to dissolve the plastic housing of a chip.
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This is not a harmless process - sulphuric acid can cause a lot of health damage to people, animals and the environment. Chips are immersed in a glass jar with sulphuric acid, after which the sulphuric acid is boiled for up to 45 minutes at a temperature of 337 degrees Celsius. Once the plastic housing has decayed, there may be other processes to remove leftover carbon, such as with a hot bath of concentrated nitric acid. After this, the contents of a chip are relatively exposed and a picture can be made of the chip with macrophotography or microphotography. Gallery References External links "Hardwarecop CPU Museum" - a website showing die shots sorted per ship-series. YouTube-video explaining how one can take a die shot. Integrated circuits Photography
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Hash Code is a global team programming competition organized by Google. The participants work in teams of 2-4 people solving a programming challenge inspired by software engineering at Google. The first edition was a local event at the Google office in Paris with 200 participants in attendance. Since then, the competition expanded globally and reached over 128,000 registered participants in the 2021 edition. The competition consists of a qualification round, after which the top teams are invited to a final event. References Programming contests Google events
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Postman is an application that allows the testing of APIs. The software was created in 2012 by Abhinav Asthana, Ankit Sobti and Abhijit Kane in Bangalore in order to solve the API tests sharing problem. Originally, it was a plugin for Google Chrome, then a rich client, and finally a thin client. It's now used by more than 500,000 companies worldwide and its headquarters is in San Francisco. Features Postman regroups API tests in collections, to mutualize their URLs and authentications. It includes: A free version with workspace sharing to three users maximum. Variables depending on the selected environment. A version control system of tests and environments. Access rights per roles (user or editor). Benchmarks. Importation and exportation in JSON. Tests exportation to various HTTP clients formats (cURL, PHP, Python, Java, Node.js...). Authentication by JSON Web Token (with possible OAuth2 configuration). REST, SOAP, GraphQL, and gRPC A rich client. A thin client allowing to upload files to send to APIs. A debugging console which keeps inn memory previous requests and responses calls. Scripts to automatize tests. References Software testing Automation software Application programming interfaces
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The Fangcheng Yue dialect (; local Jyutping: Fong4sing4 baak4waa4; IPA: , )also called Fongsing Jyut dialect, is a subdialect of Yue language(Cantonese), spoken in the southern area closer to the sea of former Fangcheng County(防城縣), which was divided present-day Dongxing City(東興市), Fangcheng District(防城區) and Gangkou District(港口區). As a variety of Cantonese, it is still able to interact with the native speakers of the Guangzhou Cantonese basically. Due to the policy on the promotion of Putonghua and the influx of foreign population who doesn't speak Yue Chinese, the level of dialect use among local young people is declining obviously. Phonology Initials Except for most of the consonants that are the same as in Standard Cantonese, there are also several other consonants in Fangcheng Yue Dialect. The extended Jyutping(Jyut++) will be used to transcribe the phonemes as follows. Rimes Fangcheng Yue has six vowels, , , , , , and . And two diphthongs only exist before -ŋ and -k, each pair of sounds of theirs has almost equal weight respectively, which do not lend themselves to analysis as ending analyzed to ending as -j or -w phonemely. Some speakers pronounce as , just like the younger speakers of neighboring Qinzhou Dialect. Finals Moreover, Fangcheng Yue finals exhibit the final consonants found in Middle Chinese, namely . Which are romanized as m, n, ng, p, t, and k respectively. Tone Fangcheng Yue dialect has 6 or 7 tones. Vocabulary References Further reading Yue Chinese Cantonese
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In cosmology, the past hypothesis is a fundamental law of physics that postulates that the universe started in a low entropy state. The second law of thermodynamics indicates that the entropy increases in time. Extrapolating this idea to the universe, in order to have a global arrow of time, the hypothesis argues that the universe must have started from a special event with lower entropy in order to evolve and observe an increase of entropy. This idea has been discussed since the development of statistical mechanics, but the term past hypothesis was coined by philosopher David Albert in 2000. Philosophical and theoretical efforts focus on trying to explain the consistency and the origin of this postulate. Common theoretical frameworks have been developed in order to explain the origin of the past hypothesis based on inflationary models or the anthropic principle. The Weyl curvature hypothesis, an alternative model by Roger Penrose, argues a link between entropy, the arrow of time and the curvature of spacetime (encoded in the Weyl tensor). See also Loschmidt's paradox Entropy as an arrow of time Notes References Philosophy of thermal and statistical physics Philosophy of time
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Liam Paninski (born 1978) is an American computational neuroscientist who specializes in neural data science. He is a professor in the Departments of Statistics and Neuroscience at Columbia University, where he co-directs the Grossman Center for the Statistics of Mind. Paninski's research focuses on using statistics to decipher electrical signals from the brain. Education Paninski attended Brown University, where he received a Bachelor of Science degree in neuroscience in 1999. At Brown, Paninski was introduced to neuroscience research in the lab of John Donoghue. He was also influenced by applied mathematicians on faculty including Stuart Geman and David Mumford. Paninski completed his Ph.D. in neural science at New York University's Center for Neural Science in 2003 under the direction of Eero Simoncelli. Career Paninski began teaching at Columbia in 2005. In 2006 Paninski was named in MIT Technology Review's list of Innovators Under 35. He received a Sloan Research Fellowship in 2007. References American neuroscientists Data scientists Brown University alumni New York University alumni Sloan Research Fellows Columbia University faculty 1978 births Living people
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Patrick James King is a Canadian far-right activist, based in Alberta, Canada. He is known for protesting government authority on a variety of issues. He has led the Wexit movement advocating for secession from Canada of Alberta and other western provinces, led the United We Roll movement, and acted as a regional organizer for the Canada convoy protest. King was arrested on 18 February 2022, in Ottawa and denied bail on 24 February 2022. Views King has a history of anti-Muslim, white nationalist, and far-right conspiracy theories. He has shared videos online promoting the white genocide conspiracy theory. In 2020, King had a conversation with the Toronto Star in which he shared conflicting views about violence and "ranted" about left wing ideologies, Antifa, and cancel culture. King accused the government of Canada of permitting Islamic State terrorists to enter Canada as refugees, of "normalizing pedophilia", and of adopting an immigration policy to “depopulate the white, Anglo-Saxon race.” He has advocated against a carbon tax, arguing that it puts Canadians at an economic disadvantage. King has said that the only way to end Canadian public health measures against COVID-19 may be achieved "with bullets". King also commented that Justin Trudeau was going to catch a bullet. In 2021, he claimed that The Holocaust death toll of 6 million was overstated. Activism King uses social media to reach hundreds of thousands of followers. He has been involved in a variety of political and social issues: Western Canada secessionism King was an organizer of the Wexit movement that advocated for Canada's prairie provinces to secede.
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United We Roll King was a co-organizer, and a driver for the United We Roll yellow vest protest in 2019 and was interviewed by the Canadian Broadcasting Corporation (CBC) in which he spoke of the importance of a gas pipeline, and the employment benefits of the oil and gas industry. He spoke of the national benefit of the Albertan economy and the lack of support to Albertans in 2019. King later stated that the CBC distorted the messages of the movement. Alberta anti-racist protest King was part of a right-wing counter protest to an anti-racist demonstration in Red Deer in 2020 where he was noted for saying: "That’s patriots kicking antifa out of their towns!" In September 2020, he organized a second counter-protest in Ponoka and threatened violence against anti-racist protests who he characterized as Antifa. COVID-19 pandemic In August 2021, King and conspiracy theorist Chris Sky visited Moose Jaw, Saskatchewan and spoke as part of a No-Vaxx Pass tour, in which they advocated for Canadians to defy the rules about vaccine passports. Also in August, King incorrectly claimed that his actions led to easing of COVID-19 public health measures in Alberta. His misunderstanding was a result of him misreading court documents rejecting his appeal against a parking ticket. This led to the Justice Centre for Constitutional Freedoms stating that: "It is unclear whether Mr. King fully understands the legal process he is involved in." In October 2021, King broadcast a video, falsely claiming that the Canadian military had set up a base at Black Lake Denesuline First Nation and were forcing COVID-19 vaccinations on women and children.
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The video went viral, resulting in pressure upon the Athabasca Health Authority and the Federation of Sovereign Indigenous Nations to put out statements, correcting the misinformation. Also in November 2021, King claimed there was no evidence that COVID-19 exists, in a social media message. Also in December, King said of the public health measures: "The only way this is going to be solved is with bullets." Canada convoy protest King was a regional organizer and one of the highest profile promoters of the 2022 Canada convoy protest in Ottawa. King invited Ottawa police officers to arrest the police chief, and his February 6 claims that half of the Ottawa Police Service resigned that day were proven false. Responding to a question about the impact of noise on Ottawa residents, King expressed amusement. In the lead up to the Ottawa protest, MP Jeremy Patzer stated that he had no association with King after meeting him as the protest convoy passed through Swift Current. Arrest and detention King was arrested on 18 February 2022 during the convoy protests as part of a police operation aimed at peacefully ending the occupation. He broadcast the arrest via his Facebook page. He was charged with mischief, counselling to commit mischief, counselling to disobey a court order, and counselling to obstruct police. On 24 February 2022 he was denied bail after Justice of the Peace Andrew Seymour judged that there was a substantive likelihood of King reoffending. Justice Seymour noted King's "history of criminality" and the overwhelming case resented by the Crown.
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King's lawyer spoke of King's concern about catching COVID-19 as he is detained, awaiting trial, prompting Justice Seymour to address the irony of the situation:" It is somewhat ironic that an individual whose raison d'etre is to protest vehemently against public health measures designed to reduce the spread of COVID, would now suggest that the delay or the potential for being infected at a detention centre could impact the court's decision." King is due in court for trial on 18 March 2022. Personal life King is from Sault Ste. Marie, and lives in Penhold, Alberta. King has claimed Métis heritage, although that claim has been challenged by Métis community. References Living people COVID-19 pandemic in Canada Canadian conspiracy theorists COVID-19 conspiracy theorists Canadian anti-vaccination activists Activists from Ontario People from Sault Ste. Marie, Ontario Canadian white nationalists Social media influencers Yellow vest activists Red Deer, Alberta Prisoners and detainees of Canada
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OpenBoard is a free open source keyboard based on AOSP for Android devices. It does not contain shortcuts to any Google apps, has no communication with Google servers. OpenBoard is licensed under GNU General Public License v3.0. Features OpenBoard is a privacy focused keyboard. It supports spell checking, text corrections and suggestions. It supports "force incognito mode" to disable the learning of new words, and Clipboard history, delete-key swipe actions. References Software using the GPL license
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Sutliyan is an Indian upcoming web-series on ZEE5 starring Plabita Borthakur, Ayesha Raza, Shiv Pandit and Vivaan Shah. Sutliyan is written by Sudeep Nigam and Abhishek Chatterjee. This web-series is produced by Manor Rama Pictures. Sutliyan will be releasing on 4th March 2022 on ZEE5. Plot Sutliyan is a warm and fuzzy family drama set in the city of lakes and gardens Bhopal. The Chandel family gets together after a long interval for Diwali but unlike other years, everything is different now. Rajan(Shiv Panditt), Ramni(Plabita Borthakur) and Raman(Vivaan Shah) lost their father at the beginning of the early lockdowns and none of them could make it to his funeral, much to the angst of their mother Supriya (Ayesha Raza). The family reunites and while there is joy and nostalgia, as often happens with families, there is a fair share of angst and drama. The threads that bind us all together – Sutliyan - keep the family tied, yet we see an unspooling and unravelling at the same time. Cast Ayesha Raza as Supriya Plabita Borthakur as Ramni Shiv Panditt as Ranjan Vivaan Shah Suneel Sinha Niharika Lyra Dutt Disha Arora Swastik Tiwari Vivek Mushran References External Links Sutliyan on Imdb Sutliyan on ZEE5 Indian web series
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A diffusion tube is a scientific device that passively samples the concentration of one or more gases in the air, commonly used to monitor average air pollution levels over a period ranging from days to about a month. Diffusion tubes are widely used by local authorities for monitoring air quality in urban areas, in citizen science pollution-monitoring projects carried out by community groups and schools, and in indoor environments such as mines and museums. Construction and operation A diffusion tube consists of a small, hollow, usually transparent, acrylic or polypropylene plastic tube, roughly 70mm long, with a cap at each end. One of the caps (coloured white) is either completely removed to activate the tube (in the case of nitrogen dioxide sampling) or contains a filter allowing in just the gas being studied. The other cap (a different colour) contains metal mesh discs coated with a chemical reagent that absorbs the gas being studied as it enters the tube. Tubes that work this way are also known as Palmes tubes after their inventor, American chemist Edward Palmes, who described using such a tube as a personal air quality sensor in 1976. During operation, the tube is opened and vertically fastened with cable ties to something like a lamp-post or road sign, with the open end facing down, and the closed, coloured cap at the top. The gas being monitored, which is at a higher concentration in the atmosphere, diffuses into the bottom of the tube and is quickly absorbed by the chemical cap. Since it's absorbed, the process of diffusion continues.
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After a fixed period of time (typically from two weeks to a month), the tube is sealed up and sent away to a laboratory for analysis. The atmospheric concentration of the gas being studied can be calculated using the amount captured and Fick's laws of diffusion. Diffusion tubes can be used to sample various different gases, including oxides of nitrogen (nitrogen dioxide and nitric oxide), sulphur dioxide, ammonia, and ozone. Although tubes sampling these gases all work through the same process of molecular diffusion, there are important differences. Nitrogen dioxide tubes use triethanolamine, TEA, as the absorbing (reagant) chemical, for example, while hydrogen sulphide tubes are opaque (rather than transparent) to prevent ultraviolet light from degrading the chemicals inside. Some types of tube can sample multiple gases at the same time. Advantages and disadvantages Diffusion tubes are reasonably accurate, relatively cheap, easy to use, extremely compact, passive (they need no power source), and have a fairly long shelf life; with careful positioning, they can be deployed more or less anywhere, indoors or outdoors. They give a reasonable indication of the long-term, average concentration of a pollutant gas, such as nitrogen dioxide, and they make it easy to compare average pollution levels in different places or at different times. Often, a series of tubes are mounted in exactly the same place for consecutive months of the year to enable longer-term comparisons of pollution levels.
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It's also common for local authorities to mount a number of tubes in different places over the same time period so pollution hotspots in towns and cities can be identified. Since diffusion tubes are designed to be left in place for days or weeks at a time, they don't indicate shorter-term fluctuations of the pollutant being studied, such as the rising and falling levels of gas during the day, the difference between one day and the next or between weekdays and weekends, or the number of times guideline pollution levels are exceeded while they're in place. They're also much less accurate than the highly sensitive, automated monitoring equipment used in roadside pollution monitoring cabins. Sources of inaccuracy include air turbulence (caused by things like wind movements or air conditioners), pollution from building ventilation systems, ultraviolet light (theoretically absorbed by the plastic tube), and other pollutants. References Air pollution Measuring instruments
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Needy Streamer Overload is a 2022 denpa-themed adventure visual novel for Microsoft Windows, developed by xemono and published by WSS playground. The player takes on the role of a manager for a female livestreamer, making decisions for her so that she can achieve her goal of reaching one million followers within a month. The game was released under the title Needy Girl Overdose in Japan. Setting is a mentally-ill young girl with a needy personality, who has dropped out of school and has confined herself at home, living together with the self-insert player protagonist. In order to pay for rent, in addition to meeting her parasocial attention needs, Ame decides to commence livestreaming on the internet, where she takes on the persona of , or for short, interacting with her stream viewers as she dons her wig and makeup. The protagonist, affectionally called , is tasked with managing her day-to-day life as she increases her follower count. Gameplay The player interacts with Ame exclusively through a pastel-themed Windows 95-esque user interface, selecting her daily tasks via desktop icons, monitoring her stats via the Task Manager, and conversing with her through an instant messenger service called JINE. Each day is divided into noon, dusk and evening timeslots, and various actions can take up one or multiple of these timeslots; Ame can only livestream during the evening, as that is the time of day where stream viewers are most active. During Ame's livestreams, the player takes on the role of a content moderator responsible for deleting or promoting viewer comments within the stream's livechat.
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Alongside follower count, Ame has three stats which the player will need to monitor, namely stress, affection (towards the player), and mental darkness; should certain attributes become too high or low, Ame will begin to display adverse effects. Activities that the player can choose for Ame may involve searching for new stream ideas, spending time together, sleeping, or abusing prescription and illicit drugs; each activity raises and lowers Ame's stats in differing ways. There are 22 different endings to the game, which are encountered based on the player's choices. Development Game development began in June 2020. , who had previously written various literature focused on mental illness, was responsible for the planning and writing of the game, while illustrator was responsible for the character designs. The game's art direction heavily draws influence from vaporwave aesthetics and retro pixel art from the PC-98 era, along with 1990s-era bishōjo games. There were originally four different female characters with unique personality traits planned during the early stages of development, however it was eventually decided that the final game would only feature a single heroine, combining various personality traits into the one character. The game consists of over 140,000 lines of dialogue. Media The game's theme song is "INTERNET OVERDOSE" by and Kotoko, composed and produced in a denpa song style. The song is available as a playable track in the music rhythm game Muse Dash, as part of a collaboration update.
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Reception As of February 2022, the game has sold over 200,000 copies on Steam, with a rating of "overwhelmingly positive" based on 5,800 user reviews. IGN Japan notes that the game has merit as a work of satire intended at picking apart modern livestreaming culture and toxic relationships, and praises the game's art and presentation, however criticises the limited choices and gimmicks available to express the player character's persona in different ways, arguing that the player is not given the opportunity to become properly aware of any consequences from their interactions with Ame. In addition, the character of Ame is criticised as more of a "male nerd's delusion" of what girls are like, rather than how women realistically behave. Dengeki Online suggests that despite the gratuitous use of mentally disturbing content, Needy Streamer Overload is a quality piece of work full of expressiveness that can only be delivered through games as an entertainment medium, while also pointing out that players unfamiliar with internet culture may not fully appreciate what the game attempts to portray. A review from mentions that while the game has a few rough areas and bugs which detract from the experience, the game still represents a domestic Japanese indie title with a high degree of preciseness put into it, closely satirising the intended audience's internet addiction while at the same time acknowledging how it forms part of their identity.
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provides a comparatively more critical review of the game, claiming that it is a disturbing and morally problematic title which uses ambiguity to hide the player's evident hatred towards Ame, as observable through the player's ability to torment her, and how the game rewards players who choose to ignore repercussions on Ame's mental health when allowing her to overdose on drugs and slice her wrists in order to progress through the game and unlock new scenarios to explore. The review also criticises the game's lack of sagacity when utilising shock value, suggesting that such usage moves beyond parodic intent. References External links NEEDY STREAMER OVERLOAD on Steam 2022 video games Adventure games Business simulation games Social simulation video games Video games about mental health Video games about virtual reality Video games developed in Japan Video games featuring female protagonists Video games with alternate endings Visual novels Windows games Windows-only games
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BullSequana is the brand name of a range of high performance computer systems produced by Atos. The range includes BullSequana S series - a modular compute platform optimised for AI and GPU-intensive tasks. BullSequana X series - supercomputers which are claimed to operate at exascale References Computer systems
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FoxBlade is a suspected trojan horse wiper malware identified on 23 February 2022 by Microsoft's Threat Assessment Center that appeared to be aimed at targets in Ukraine's government. Wiper malware deletes data or software on affected computers, and it is suspected that it is part of the cyberattacks on Ukraine connected with the 2022 Ukraine invasion which began on that date. Microsoft took unusually swift action against it. References Computers Computer viruses Trojan horses
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DECpc was a wide-ranging family of desktop computers, laptops, servers, and workstations sold by Digital Equipment Corporation. The vast majority in the family were based on x86 processors, although the APX 150 used DEC's own Alpha processor. The line was DEC's first break into the IBM PC compatible market. Some entries in the desktop DECpc range were built by Olivetti S.p.A. and Tandy Corporation. Line-up Explanatory notes Upgradable with snap-in processor/cache daughtercard Advanced Power Management–compliant Desktops Laptops Workstations and servers See also Digital HiNote, the successor to the DECpc line of laptops DECstation, concurrent line of workstations References DEC workstations Computer-related introductions in 1991 IBM PC compatibles
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Reflexive control - influence on the decisions made by the opponent by shoving (imposing) him such assumptions on the basis of which he acts in the way desired by the manipulator. Methods of reflexive control are widely used in a variety of fields: advertising, public relations, military art, etc. An example of such a strategy could be a card shark deliberately losing the first games in the game, systematic diversionary attacks on an unimportant area of combat, etc.. Introduction As defined by Soviet scholar V. Lefebvre reflexive control is a process in which one adversary hands over to the other the basis for decision-making.». In other words, there is a substitution of motivation factors of the enemy in order to encourage him to take disadvantageous decisions. Professor G. Smolyan believes that the key point of reflexive control is implicitly forcing a subject to choose a desired result. As an aphoristic example of reflexive manipulation we can recall an episode from "Uncle Remus's Tales" in which Brother Rabbit eludes Brother Fox by asking: The oldest of those literary heroes who specialized in reflexive control is considered to be the biblical serpent who provoked Eve to taste the forbidden fruit. The category of typical provocateurs can also include one of the famous characters of the Swedish writer Astrid Lindgren, who terrorized the housewife Freken Bock with a simple question. Lindgren, who terrorized the housewife Freken Bock with a simple question: Individual techniques of reflexive control called "stratagems" have occupied an important place in the history of military art since ancient times.
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For example, Sun Tzu put in the title of the first chapter of one of his treatises the statement "War is the way of deception," thus defining the craft of warfare as the art of deception. The preconditions for the actual emergence of the theory of reflexive control can be found in the Soviet military literature of the mid-20th century; four main stages are distinguished in the process of its improvement: from the early 1960s to the late 1970s: research, late 1970s to early 1990s: practice-oriented, from the beginning to the middle of the 1990s: psychological and pedagogical, since the late 1990s: psychosocial. Among the most authoritative scientists who dealt with the tasks of reflexive control, in addition to V. Lefebvre, the works of D. Pospelov, V. Burkov, V. Lepsky, G. Shchedrovitsky and others are noted. In addition to them, the artistic aspects of the subject of reflexive control were reflected in the works of some major writers, for example, V. Pelevin. Military application General provisions A formally approved terminology of reflexive control did not exist in the military art in the past; nevertheless, its tools were intuitively recognized and were actively used in attempts to calculate the actions of an adversary or to create an erroneous impression of him/herself. According to some Russian military experts, applied aspects of reflexive control, having geopolitical significance, are an effective tool for conducting information warfare and can have significant advantages over traditional methods of using military means. Exploiting moral stereotypes of behavior, psychological factors, personal information about the command personnel (biographical data, habits, etc.)
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reflexive control makes it possible to increase the chances of achieving victory, but it is noted that this tactic requires information about the enemy with a high degree of detail and quality. Among the tools of reflexive control are also listed camouflage (at all levels), disinformation, provocation, blackmail, compromising, etc., whose vector of action is aimed more at the hard to grasp and subjectively perceived elements of "military art" than at the more objective concepts of "military science". Modern computerization can make it difficult to use reflexive control methods because their application is easily revealed by mathematical modeling. Nevertheless, one cannot dismiss the existence of a broad class of exceptions where machine intelligence may lack an intuitive understanding of real reality. In reviewing Russian research on the use of the arsenal of reflexive control for military purposes, the American scholar T.L. Thomas singled out the work of Colonel S.A. Komov as the most productive military theorist in this area..In his publications, Komov made extensive use of developments from the field of reflexive management under the name of "intellectual methods of information warfare," highlighting the following main elements. : Distraction through a real or perceived threat to one of the enemy's key positions (on the flanks, in the rear, etc.)
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during preparations for military action, overloading through supplying the enemy with large volumes of self-contradictory information, paralysis, creating the illusion of pinpointed threats to vital interests or the most vulnerable locations, exhaustion, forcing the adversary to expend resources to perform unproductive activities, deception, provoking the enemy to redeploy forces to the threatened area in preparation for military action, splitting, forcing the enemy to act against the interests of his allies, appeasement, by lowering vigilance and creating the illusion that routine training, rather than preparations for offensive actions, are taking place, intimidation, by creating the appearance of invincible superiority, provocation, through the imposition of an unfavorable scenario of action, suggestion, through the presentation of information material that influences legally, morally, ideologically or in other spheres, pressure, through the presentation of information material that discredits the government in the eyes of the population.
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Another domestic researcher who attracted interest abroad was Professor F. Chausov, who formulated the following principles of reflexive management: principle of purposefulness — the process should be goal-oriented, involving the full range of necessary measures of reflexive management, principle of actualization - there should be an "updating" of planning, providing a fairly complete picture of the intellectual potential of the command and staff, especially in situations related to the global information space, principle of conformity - mutual consistency of goals, place, time and methods of reflexive management must be observed, simulation principle — one should not forget about forecasting and modeling the actions and states of the opposing side during the execution of reflexive control'' procedures, principle of anticipation - current events must be anticipated and anticipated. In addition, when using reflexive management, Chausov gave an assessment of risk, the essence of which boils down to the danger of making a mistake if you misjudge the consequences. With this approach, the maximum risk would be if the adversary unravels the plan himself. One well-known example of the effective use of the theory of reflexive control was the disinformation work of the Soviet secret services to create an exaggerated impression on the American side of the shock potential of Soviet nuclear weapons. To this end, fake models of intercontinental ballistic missiles were developed for participation in Red Square parades, and their appearance was immediately reflected in the reports of foreign attachés to their superiors.
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The next stage was to provide indirect evidence of the real existence of these missile systems, which would then divert the resources of foreign developers to unsuccessful attempts to reproduce the allegedly "new" technology. Similarly, British intelligence conducted disinformation support for the Allied landings in Sicily, codenamed Operation Mincemeat. For this purpose, a dead British serviceman was planted in the sight of the Reich's special services with a set of skilfully fabricated documents describing an alleged British landing operation in the Peloponnese and Sardinia. Judging by these plans, the informational screen for this landing was to be demonstrative preparations for a fake attack on Sicily. The German leadership carried out a set of works to strengthen the Greek coast, redeployed there a tank division, but quite unexpectedly for them the main blow was struck in Sicily. Domestic researchers believe that another textbook example of reflexive control is the American Strategic Defense Initiative program, which forced the Soviet Union to spend significant resources to develop a similar space system. According to a number of foreign researchers, manipulative methods from the field of reflexive control form the basis of Russia's new concept of military action in the 21st century, which in the West has been called the ".». At the same time, some publications have been critical of the applied aspects of this theory, and it has even been called pseudoscientific. References Bibliography Денисов А. А., Денисова Е. В. Краткий очерк основ теории управляемой конфронтации (рус.) // Информационные войны : журнал. — 2014. — Т. 29, No. 1. — С. 24–33.
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Kernel () is the largest producer of sunflower oil in Ukraine. It was established in 1994. It operates under the brands "Shchedry Dar", "Stozhar" and "Chumak Zolota", exports oils and grain worldwide, and provides storage for grains and seeds. Kernel launched an initial public offering on the Warsaw Stock Exchange in 2007, becoming the second Ukrainian company to hold an IPO in Warsaw. In 2020, Forbes Ukraine ranked Kernel as the third-largest private-sector company in Ukraine by revenue. References Companies based in Kyiv Ukrainian companies established in 1994 Companies listed on the Warsaw Stock Exchange Agriculture companies of Ukraine
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