∆ (other)
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∆ (other)
∆ may refer to: * Triangle (∆), one of the basic shapes in geometry. Many different mathematical equations include the use of the triangle. * Delta (letter) (Δ), a Greek letter also used in mathematics and computer science * Delta baryon (Δ), one of several Baryons consisting of up and down quarks. * alt-J (Δ), a British indie band * Laplace operator (Δ), a differential operator * Increment operator (∆) * Symmetric difference, in mathematics, the set of elements which are in either of two sets and not in their intersection See also * ᐃ, a letter of Canadian Aboriginal Syllabics * Latin delta Latin delta (ẟ, lower-case only) is a latin alphabet, Latin letter similar in appearance to the Greek alphabet, Greek lowercase letter delta (letter), delta (δ), but derived from the handwritten Latin lowercase d. It is also known as "script d" ... (ẟ), letter of the extended Latin alphabet References

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Triangle
A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called ''vertices'', are zero-dimensional points while the sides connecting them, also called ''edges'', are one-dimensional line segments. A triangle has three internal angles, each one bounded by a pair of adjacent edges; the sum of angles of a triangle always equals a straight angle (180 degrees or π radians). The triangle is a plane figure and its interior is a planar region. Sometimes an arbitrary edge is chosen to be the ''base'', in which case the opposite vertex is called the ''apex''; the shortest segment between the base and apex is the ''height''. The area of a triangle equals one-half the product of height and base length. In Euclidean geometry, any two points determine a unique line segment situated within a unique straight line, and any three points that do not all lie on the same straight line determine a unique triangle situated w ...
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Pythagorean Theorem
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. The theorem can be written as an equation relating the lengths of the sides , and the hypotenuse , sometimes called the Pythagorean equation: :a^2 + b^2 = c^2 . The theorem is named for the Ancient Greece, Greek philosopher Pythagoras, born around 570 BC. The theorem has been Mathematical proof, proved numerous times by many different methods – possibly the most for any mathematical theorem. The proofs are diverse, including both Geometry, geometric proofs and Algebra, algebraic proofs, with some dating back thousands of years. When Euclidean space is represented by a Cartesian coordinate system in analytic geometry, Euclidean distance satisfies th ...
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Delta (letter)
Delta ( ; uppercase Δ, lowercase δ; , ''délta'', ) is the fourth letter of the Greek alphabet. In the system of Greek numerals, it has a value of four. It was derived from the Phoenician alphabet, Phoenician letter Dalet (letter), dalet 𐤃. Letters that come from delta include the Latin alphabet, Latin D and the Cyrillic script, Cyrillic De (Cyrillic), Д. A river delta (originally, the Nile Delta, delta of the Nile River) is named so because its shape approximates the triangular uppercase letter delta. Contrary to a popular legend, this use of the word ''delta'' was not coined by Herodotus. Pronunciation In Ancient Greek, delta represented a voiced dental plosive . In Modern Greek, it represents a voiced dental fricative , like the "''th''" in "''that''" or "''this''" (while in foreign words is instead commonly transcribed as ντ). Delta is romanization of Greek, romanized as ''d'' or ''dh''. Uppercase The uppercase letter Δ is used to denote: * Change of any changeable ...
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Delta Baryon
The Delta baryons (or baryons, also called Delta resonances) are a family of subatomic particle made of three up or down quarks (u or d quarks), the same constituent quarks that make up the more familiar protons and neutrons. Properties Four closely related baryons exist:  (constituent quarks: uuu),  (uud),  (udd), and  (ddd), which respectively carry an electric charge of , , , and . The  baryons have a mass of about ; their third component of isospin \; I_3 = \pm\tfrac ~\mathsf~ \pm\tfrac\;; and they are required to have an intrinsic spin of or higher (half-integer units). Ordinary nucleons (symbol N, meaning either a proton or neutron), by contrast, have a mass of about , and both intrinsic spin and isospin of . The  (uud) and  (udd) particles are higher-mass spin-excitations of the proton (, uud) and neutron (, udd), respectively. The and , however, have no direct nucleon analogues: For example, even though their charges ...
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Baryon
In particle physics, a baryon is a type of composite particle, composite subatomic particle that contains an odd number of valence quarks, conventionally three. proton, Protons and neutron, neutrons are examples of baryons; because baryons are composed of quarks, they belong to the hadron list of particles, family of particles. Baryons are also classified as fermions because they have half-integer Spin (physics), spin. The name "baryon", introduced by Abraham Pais, comes from the Ancient Greek, Greek word for "heavy" (βαρύς, ''barýs''), because, at the time of their naming, most known elementary particles had lower masses than the baryons. Each baryon has a corresponding antiparticle (antibaryon) where their corresponding antiquarks replace quarks. For example, a proton is made of two up quarks and one down quark; and its corresponding antiparticle, the antiproton, is made of two up antiquarks and one down antiquark. Baryons participate in the residual strong force, which ...
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Up Quark
The up quark or u quark (symbol: u) is the lightest of all quarks, a type of elementary particle, and a significant constituent of matter. It, along with the down quark, forms the neutrons (one up quark, two down quarks) and protons (two up quarks, one down quark) of atomic nucleus, atomic nuclei. It is part of the generation (physics), first generation of matter, has an electric charge of + elementary charge, ''e'' and a Quark#Mass, bare mass of . Like all quarks, the up quark is an elementary particle, elementary fermion with Spin (physics), spin spin-1/2, , and experiences all four fundamental interactions: gravitation, electromagnetism, weak interactions, and strong interactions. The antiparticle of the up quark is the up antiquark (sometimes called ''antiup quark'' or simply ''antiup''), which differs from it only in that some of its properties, such as electric charge, charge have additive inverse, equal magnitude but opposite sign. Its existence (along with that of the ...
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Down Quark
The down quark (symbol: d) is a type of elementary particle, and a major constituent of matter. The down quark is the second-lightest of all quarks, and combines with other quarks to form composite particles called hadrons. Down quarks are most commonly found in atomic nucleus, atomic nuclei, where it combines with up quarks to form protons and neutrons. The proton is made of one down quark with two up quarks, and the neutron is made up of two down quarks with one up quark. Because they are found in every single known atom, down quarks are present in all everyday matter that we interact with. The down quark is part of the generation (physics), first generation of matter, has an electric charge of − elementary charge, ''e'' and a Quark#Mass, bare mass of . Like all quarks, the down quark is an elementary fermion with Spin (physics), spin spin-1/2, , and experiences all four fundamental interactions: gravitation, electromagnetism, weak interactions, and strong interactions. ...
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Alt-J
Alt-J (stylised as alt-J, real name Δ) are an English indie rock band formed in 2007 in Leeds. Their lineup includes Joe Newman (guitar/lead vocals), Thom Sonny Green (drums), Gus Unger-Hamilton (keyboards/vocals), and formerly Gwil Sainsbury (guitar/bass). Their debut album ''An Awesome Wave'' was released in May 2012 in Europe, and in September 2012 in the United States, and won the 2012 British Mercury Prize. Sainsbury left the band in early 2014. Their second album, ''This Is All Yours'', was released on 22 September 2014 and went straight to number one in the United Kingdom.Listing
for Alt-J at the Official Charts Company (UK), (retrieved 29 May 2015).
In June 2017 the band released their third studio album ''Relaxer (album), Relaxer'', followed in February 2022 by their fourth studio album ''The Dream (Alt-J album), The Dream''.

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Laplace Operator
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a Scalar field, scalar function on Euclidean space. It is usually denoted by the symbols \nabla\cdot\nabla, \nabla^2 (where \nabla is the Del, nabla operator), or \Delta. In a Cartesian coordinate system, the Laplacian is given by the sum of second partial derivatives of the function with respect to each independent variable. In other coordinate systems, such as cylindrical coordinates, cylindrical and spherical coordinates, the Laplacian also has a useful form. Informally, the Laplacian of a function at a point measures by how much the average value of over small spheres or balls centered at deviates from . The Laplace operator is named after the French mathematician Pierre-Simon de Laplace (1749–1827), who first applied the operator to the study of celestial mechanics: the Laplacian of the gravitational potential due to a given mass density distributio ...
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Increment Operator
Increment or incremental may refer to: *Incrementalism, a theory (also used in politics as a synonym for gradualism) *Increment and decrement operators, the operators ++ and -- in computer programming *Incremental computing *Incremental backup, which contain only that portion that has changed since the preceding backup copy. *Increment, chess term for additional time a chess player receives on each move *Incremental games * Increment in rounding See also * * *1+1 (other) *++ (other) ++ may refer to: * Checkmate, in chess notation * The increment operator, in some programming languages * ''Much higher than normal'', in some medical tests * ''+ +'' (EP), by South Korean girl group Loona See also * PLUSPLUS, a Ukrainian TV ch ... {{Disambiguation da:Inkrementel fr:Incrémentation nl:Increment ja:インクリメント pl:Inkrementacja ru:Инкремент sr:Инкремент sv:++ ...
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Symmetric Difference
In mathematics, the symmetric difference of two sets, also known as the disjunctive union and set sum, is the set of elements which are in either of the sets, but not in their intersection. For example, the symmetric difference of the sets \ and \ is \. The symmetric difference of the sets ''A'' and ''B'' is commonly denoted by A \operatorname\Delta B (alternatively, A \operatorname\vartriangle B), A \oplus B, or A \ominus B. It can be viewed as a form of addition modulo 2. The power set of any set becomes an abelian group under the operation of symmetric difference, with the empty set as the neutral element of the group and every element in this group being its own inverse. The power set of any set becomes a Boolean ring, with symmetric difference as the addition of the ring and intersection as the multiplication of the ring. Properties The symmetric difference is equivalent to the union of both relative complements, that is: :A\, \Delta\,B = \left(A \setminus B\ri ...
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