Π1 (other)
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Π1 (other)
π1 or Π1 or Pi1, may refer to: Mathematics * π1, a notation for the scalar projection onto the first component * π1, the fundamental group of a topological space * Π1, the fundamental groupoid of a topological space * Π01, or Π1, a classification in the arithmetical hierarchy Other uses * Yudo π1 (''Pi1''), a car model * Pi1 (gene), a gene found in ''Oryza sativa'' for fungus resistance * Pi1, a type of torpedo warhead used by Germany in World War II; see List of World War II torpedoes of Germany See also * Pil (other) * PII (other) * P1 (other) (; ''romanized'' "p1"; ''pronounced'' "pi1") * Pi (other) Pi () is a mathematical constant equal to a circle's circumference divided by its diameter. Pi, π or Π may also refer to: Language and typography * Pi (letter), the 17th letter of the Greek alphabet * Linotype machine#Pi matrices, Pi characte ... * π (other) * * * {{Letter–number combination disambiguation ...
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Scalar Projection
In mathematics, the scalar projection of a vector \mathbf on (or onto) a vector \mathbf, also known as the scalar resolute of \mathbf in the direction of \mathbf, is given by: :s = \left\, \mathbf\right\, \cos\theta = \mathbf\cdot\mathbf, where the operator \cdot denotes a dot product, \hat is the unit vector in the direction of \mathbf, \left\, \mathbf\right\, is the length of \mathbf, and \theta is the angle between \mathbf and \mathbf. The term scalar component refers sometimes to scalar projection, as, in Cartesian coordinates, the components of a vector are the scalar projections in the directions of the coordinate axes. The scalar projection is a scalar, equal to the length of the orthogonal projection of \mathbf on \mathbf, with a negative sign if the projection has an opposite direction with respect to \mathbf. Multiplying the scalar projection of \mathbf on \mathbf by \mathbf converts it into the above-mentioned orthogonal projection, also called vector proje ...
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Fundamental Group
In the mathematics, mathematical field of algebraic topology, the fundamental group of a topological space is the group (mathematics), group of the equivalence classes under homotopy of the Loop (topology), loops contained in the space. It records information about the basic shape, or holes, of the topological space. The fundamental group is the first and simplest homotopy group. The fundamental group is a homotopy invariant—topological spaces that are homotopy equivalent (or the stronger case of homeomorphic) have Group isomorphism, isomorphic fundamental groups. The fundamental group of a topological space X is denoted by \pi_1(X). Intuition Start with a space (for example, a surface (mathematics), surface), and some point in it, and all the loops both starting and ending at this point—path (topology), paths that start at this point, wander around and eventually return to the starting point. Two loops can be combined in an obvious way: travel along the first loop, then alo ...
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Fundamental Groupoid
In algebraic topology, the fundamental groupoid is a certain topological invariant of a topological space. It can be viewed as an extension of the more widely-known fundamental group; as such, it captures information about the homotopy type of a topological space. In terms of category theory, the fundamental groupoid is a certain functor from the category of topological spaces to the category of groupoids. Definition Let be a topological space. Consider the equivalence relation on continuous paths in in which two continuous paths are equivalent if they are homotopic with fixed endpoints. The fundamental groupoid , or , assigns to each ordered pair of points in the collection of equivalence classes of continuous paths from to . More generally, the fundamental groupoid of on a set restricts the fundamental groupoid to the points which lie in both and . This allows for a generalisation of the Van Kampen theorem using two base points to compute the fundamental group of th ...
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Arithmetical Hierarchy
In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene–Mostowski hierarchy (after mathematicians Stephen Cole Kleene and Andrzej Mostowski) classifies certain sets based on the complexity of formulas that define them. Any set that receives a classification is called arithmetical. The arithmetical hierarchy was invented independently by Kleene (1943) and Mostowski (1946).P. G. Hinman, ''Recursion-Theoretic Hierarchies'' (p.89), Perspectives in Logic, 1978. Springer-Verlag Berlin Heidelberg, ISBN 3-540-07904-1. The arithmetical hierarchy is important in computability theory, effective descriptive set theory, and the study of formal theories such as Peano arithmetic. The Tarski–Kuratowski algorithm provides an easy way to get an upper bound on the classifications assigned to a formula and the set it defines. The hyperarithmetical hierarchy and the analytical hierarchy extend the arithmetical hierarchy to classify additional formulas and set ...
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Yudo π1
The Yudo Ï€1 or Yudo Pi1 is a Subcompact car, subcompact crossover SUV produced by the Chinese New energy vehicle, NEV manufacturer Yudo Auto. The side profile heavily resembles a second generation Haval H1 due to the platform being shared by Haval (marque), Haval. Overview The Yudo Ï€1 was launched on the Chinese car market in 2019. Initial price ranges from 131,800 to 166,800 yuan. The Yudo Ï€1 was powered by a single front positioned motor with the motor options including a 55 kW-170Nm motor and a 90 kW-270Nm motor. Battery options include a 38.5lkWh lithium-ion battery capable of a 301 km range for 2018, a 51kWh lithium-ion battery capable of a 426 km range for 2019, and a 49.8kWh lithium-ion battery capable of a 430 km range for 2020. References

{{reflist Subcompact crossover sport utility vehicles Cars of China Cars introduced in 2019 Production electric cars Yudo Vehicles, π1 ...
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Oryza Sativa
''Oryza sativa'', having the common name Asian cultivated rice, is the much more common of the two rice species cultivated as a cereal, the other species being ''Oryza glaberrima, O. glaberrima'', African rice. It was History of rice cultivation, first domesticated in the Yangtze River basin in China 13,500 to 8,200 years ago. ''Oryza sativa'' belongs to the genus ''Oryza'' and the BOP clade in the grass family Poaceae. With a genome consisting of 430megabase, Mbp across 12 chromosomes, it is renowned for being easy to Genetically modified rice, genetically modify and is a model organism for the study of the biology of cereals and Monocotyledon, monocots. Description ''O. sativa'' has an erect stalk stem that grows tall, with a smooth surface. The leaf is lanceolate, long, and grows from a ligule long. Image:Kerbau Jawa.jpg, Domestic buffalo, Water buffalo ploughing a rice paddyfield, Java File:Jumli Marshi Oryza sativa Rice.jpg, Jumli Marshi, brown rice from Nepal File: ...
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List Of World War II Torpedoes Of Germany
List of World War II ''Kriegsmarine'' torpedoes ''Kriegsmarine'' torpedo designation system The first letter indicates the diameter: * G = 53 cm (21 in) * F = 45 cm (17.7 in) * H = 60 cm (23.7 in) * M = 75 cm (30 in) The number indicates the approximate length (for example, the length of the TI is 7163 mm): * 7 = 7 m * 6 = 6 m * 5 = 5 m Next letter(s) indicates specific features regarding propulsion and control: * a = Atem, i.e. Pressluft/Dampfgemisch-Antrieb (pressurized air/steam - "wetheater" - engine) * e = Elektrischer Antrieb (electric engine) * f = Fernlenkung (remote control by radio or cable) * d = Sauerstoff/Dampfgemisch-Antrieb (oxygen/steam engine) * p = Primärbatterie-Antrieb (primary battery propulsion) * m = Verbrennungsmaschine mit Kreislaufverfahren (combustion engine recirculating air) * u = Sauerstoffträger Ingolin spurenfreier Antrieb (oxygen/steam engine with hydrogen peroxide as source for air, and no exposing ...
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PIL (other)
Pil or PIL may refer to: Legal terms * Public international law * Private international law * Public interest law * Public interest litigation in India Music * Pil (singer) (born 1990), Danish singer and songwriter * Poslednja Igra Leptira, a former Yugoslavian pop rock band * Public Image Ltd, an English post-punk band Places * Pil, Iran, a village in Mazandaran Province, Iran * Pil (placename) a Welsh placename element * Pilning railway station (National Rail station code: PIL), in South Gloucestershire, England * Carlos Miguel Jiménez Airport (IATA Code: PIL), in Pilar, Paraguay * Port Isabel-Cameron County Airport (FAA Code: PIL), in Port Isabel, Texas Other * Pacific International Lines, a Singapore-based shipping company * Page Interchange Language * Patient information leaflet * Pil (chess), or alfil, a fairy chess piece * Portland Interscholastic League, a high school athletic conference in Oregon * Protic ionic liquid * Python Imaging Library * Old Style Pilsn ...
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P1 (other)
P1, P01, P-1 or P.1 may refer to: Computing, robotics, and, telecommunications * DSC-P1, a 2000 Sony Cyber-shot P series camera model * Sony Ericsson P1, a UIQ 3 smartphone * Packet One, the first company to launch WiMAX service in Southeast Asia * Peer 1, an Internet hosting provider * Honda P1, a 1993 Honda P series of robots, an ASIMO predecessor Media * DR P1, a Danish radio network operated by Danmarks Radio * NRK P1, a Norwegian radio network operated by the Norwegian Broadcasting Corporation * SR P1, a Swedish radio network operated by Sveriges Radio * Polonia 1, a Polish TV channel of the Polcast Television Military * P-1 Hawk, a 1923 biplane fighter of the U.S. Army Air Corps * Kawasaki P-1, a Japanese maritime patrol aircraft (previously P-X) * P-1 (missile), a Soviet anti-ship cruise missile Science Biology * P1 antigen, identifies P antigen system * P1 laboratory, biosafety -level-1 laboratory * P1 phage, a bacterial virus * SARS-CoV-2 Gamma variant, a str ...
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Pi (other)
Pi () is a mathematical constant equal to a circle's circumference divided by its diameter. Pi, π or Π may also refer to: Language and typography * Pi (letter), the 17th letter of the Greek alphabet * Linotype machine#Pi matrices, Pi characters, uncommon characters in typesetting * Pi font, a term for some kinds of dingbat fonts * Pali, an Indo-Aryan language (ISO 639-1 code: pi) Places * Pi (state), an ancient state during China's Zhou dynasty * Pi, Catalonia, a village of Bellver de Cerdanya, Spain * Pi County, Sichuan province, China * Pi Islands, Palmer Archipelago, Antarctica People Given name * Pi de Bruijn (born 1942), Dutch architect *Pi O or П. O. (born 1951), Greek-Australian anarchist poet * Pi Schwert (1892–1941), American baseball player and politician * Pi Vèriss, Dutch songwriter and composer Stage name *Pi (entertainer), American drag performer Surname * Bi (surname) (), romanized as Pi in Wade–Giles * Pi (surname) (), a Chinese surname * Enric Pi ( ...
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