Cone
Overview
Cone (geometry)
A cone is an n-dimensional geometric shape that tapers smoothly from a base to a point called the apex or vertex. Formally, it is the solid figure formed by the locus of all straight line segments that join the apex to the base...
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Cone may also refer to:
- Cone (category theory)Cone (category theory)In category theory, a branch of mathematics, the cone of a functor is an abstract notion used to define the limit of that functor. Cones make other appearances in category theory as well.-Definition:...
, a family of morphisms resembling a geometric cone - Cone (formal languages)Cone (formal languages)In formal language theory, a cone is a set of formal languages that has some desirable closure properties enjoyed by some well-known sets of languages, in particular by the families of regular languages, context-free languages and the recursive languages...
, an abstract family of languages that contains the languages with a regular grammar - Cone (geometry)Cone (geometry)A cone is an n-dimensional geometric shape that tapers smoothly from a base to a point called the apex or vertex. Formally, it is the solid figure formed by the locus of all straight line segments that join the apex to the base...
, a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex - Cone (linear algebra)Cone (linear algebra)In linear algebra, a cone is a subset of a vector space that is closed under multiplication by positive scalars. In other words, a subset C of a real vector space V is a cone if and only if λx belongs to C for any x in C and any positive scalar λ of V .A cone is said...
, a subset of vector space closed under positive scaling - Cone (topology)Cone (topology)In topology, especially algebraic topology, the cone CX of a topological space X is the quotient space:CX = /\,of the product of X with the unit interval I = [0, 1]....
of a set X, namely the union of all line segments connecting a fixed point to points of X - Conic bundleConic bundleIn algebraic geometry, a conic bundle is an algebraic variety that appears as a solution of a Cartesian equation of the formTheoretically, it can be considered as a Severi–Brauer surface, or more precisely as a Châtelet surface. This can be a double covering of a ruled surface...
, an algebraic variety that appears as a solution of a Cartesian equation - Conic constantConic constantIn geometry, the conic constant is a quantity describing conic sections, and is represented by the letter K...
, a quantity describing conic sections, and is represented by the letter K - Conic sectionConic sectionIn mathematics, a conic section is a curve obtained by intersecting a cone with a plane. In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2...
, any curve obtained by cutting a conical surface by an arbitrary plane - Conical combinationConical combinationGiven a finite number of vectors x_1, x_2, \dots, x_n\, in a real vector space, a conical combination or a conical sum of these vectors is a vector of the formwhere the real numbers \alpha_i\, satisfy \alpha_i\ge 0...
, a conical sum of a finite number of vectors - Conical coordinatesConical coordinatesConical coordinates are a three-dimensional orthogonal coordinate system consisting ofconcentric spheres and by two families of perpendicular cones, aligned along the z- and x-axes, respectively.-Basic definitions:...
, a three-dimensional orthogonal coordinate system - Conical function, functions which can be expressed in terms of Legendre functions of the first and second kind
- Conical surfaceConical surfaceIn geometry, a conical surface is the unbounded surface formed by the union of all the straight lines that pass through a fixed point — the apex or vertex — and any point of some fixed space curve — the directrix — that does not contain the apex...
, generated by a moving line with one fixed point - Convex coneConvex coneIn linear algebra, a convex cone is a subset of a vector space over an ordered field that is closed under linear combinations with positive coefficients.-Definition:...
, a subset C of a vector space V is a convex cone if αx+βy belongs to C, for any positive scalars α, β, and any x, y in C - Mapping coneMapping coneIn mathematics, especially homotopy theory, the mapping cone is a construction C_f of topology, analogous to a quotient space. It is also called the homotopy cofiber, and also notated Cf.-Definition:...
, a construction Cf of topology, analogous to a quotient space - Mapping cone (homological algebra)Mapping cone (homological algebra)In homological algebra, the mapping cone is a construction on a map of chain complexes inspired by the analogous construction in topology. In the theory of triangulated categories it is a kind of combined kernel and cokernel: if the chain complexes take their terms in an abelian category, so that...
of a map of chain complexes - Monge coneMonge coneIn the mathematical theory of partial differential equations , the Monge cone is a geometrical object associated with a first-order equation. It is named for Gaspard Monge. In two dimensions, letF = 0\qquad\qquad...
, a geometrical object associated to a first-order equation - Nilpotent cone, the set of elements that act nilpotently in all representations of a finite-dimensional semisimple Lie algebra
- Projective coneProjective coneA projective cone in projective geometry is the union of all lines that intersect a projective subspace R and an arbitrary subset A of some other subspace S, disjoint from R....
, the union of all lines that intersect a projective subspace and an arbitrary subset of some other disjoint subspace
- Antenna blind coneAntenna blind coneIn telecommunications, antenna blind cone is the volume of space, usually approximately conical with its vertex at the antenna, that cannot be scanned by an antenna because of limitations of the antenna radiation pattern and mount.Note: An example of an antenna blind cone is that of an Air Route...
, the volume of space that cannot be scanned by an antenna - Cone algorithmCone algorithmIn computational geometry, the cone algorithm identifies surface particles quickly and accurately for three-dimensional clusters composed of discrete particles. It is especially useful for computational surface science and computational nano science. The cone algorithm was first described in a...
identifies surface particles quickly and accurately for three-dimensional clusters composed of discrete particles - Cone beam reconstructionCone beam reconstructionFor microtomography, X-ray scanners typically use two methods for scanning:*Fan beam reconstruction* Cone beam reconstruction.Cone beam reconstruction uses a 2-dimensional approach for obtaining projection data. Instead of utilizing a single row of detectors, as fan beam methods do, a cone beam...
, a method of X-ray scanning in microtomography - Cone calorimeterCone calorimeterA cone calorimeter is a modern device used to study the fire behavior of small samples of various materials in condensed phase. It is widely used in the field of Fire Safety Engineering...
, a modern device used to study the fire behavior of small samples of various materials in condensed phase - Cone clutchCone clutchA cone clutch serves the same purpose as a disk or plate clutch. However, instead of mating two spinning disks, the cone clutch uses two conical surfaces to transmit torque by friction....
serves the same purpose as a disk or plate clutch - Cone of depressionCone of depressionA cone of depression occurs in an aquifer when groundwater is pumped from a well. In an unconfined aquifer , this is an actual depression of the water levels. In confined aquifers , the cone of depression is a reduction in the pressure head surrounding the pumped well.When a well is pumped, the...
occurs in an aquifer when groundwater is pumped from a well - Cone penetration testCone penetration testThe cone penetration test is an gouda cpt testing method used to determine the geotechnical engineering properties of soils and delineating soil stratigraphy. It was initially developed in the 1950s at the Dutch Laboratory for Soil Mechanics in Delft to investigate soft soils. Based on this...
(CPT), an in situ testing method used to determine the geotechnical engineering properties of soils - Cone PenetrometerCone PenetrometerThe Fall cone test apparatus is an alternative method to the Casagrande Device in measuring the Liquid Limit of a soil sample . It is usually considered to be a more scientific approach because it is based less upon human judgment. In this method, a sample is placed in a 55 mm diameter,...
apparatus, an alternative method to the Casagrande Device in measuring the Liquid Limit of a soil sample - Conical intersectionConical intersectionIn quantum chemistry, a conical intersection of two potential energy surfaces of the same spatial and spin symmetries is the set of molecular geometry points where the two potential energy surfaces are degenerate . Conical intersections are ubiquitous in both trivial and non-trivial chemical...
of two potential energy surfaces of the same spatial and spin symmetries - Conical measureConical measureA conical measure is a type of laboratory glassware which consists of a conical cup with a notch on the top to allow for the easy pouring of liquids, and graduated markings on the side to allow easy and accurate measurement of volumes of liquid....
, a type of graduated laboratory glassware with a conical cup and a notch on the top to facilitate pouring of liquids - Conical millConical millA conical mill is a machine used to reduce the size of material in a uniform manner. It is an alternative to the hammermill or other forms of grinding mills....
(or conical screen mill), a machine used to reduce the size of material in a uniform manner - Conical pendulumConical pendulumA conical pendulum is a weight fixed on the end of a string suspended from a pivot. Its construction is similar to an ordinary pendulum; however, instead of rocking back and forth, the bob of a conical pendulum moves at a constant speed in a circle with the string tracing out a cone...
, a weight (or bob) fixed on the end of a string (or rod) suspended from a pivot - Conical scanningConical scanningConical scanning is a system used in early radar units to improve their accuracy, as well as making it easier to steer the antenna properly to point at a target...
, a system used in early radar units to improve their accuracy - Helical cone beam computed tomographyHelical cone beam computed tomographySpiral computed tomography is a computed tomography, technology involving movement in a spiral pattern for the purpose of increasing resolution...
, a type of three-dimensional computed tomography - Hertzian coneHertzian coneA Hertzian cone is the cone of force that propagates through a brittle, amorphous or cryptocrystalline solid material from a point of impact, eventually removing a full or partial cone. An example often occurs when a plate-glass window is struck by a small object, such as an airgun projectile...
, the cone of force that propagates through a brittle, amorphous or cryptocrystalline solid material from a point of impact - Nose coneNose coneThe term nose cone is used to refer to the forwardmost section of a rocket, guided missile or aircraft. The cone is shaped to offer minimum aerodynamic resistance...
, used to refer to the forwardmost section of a rocket, guided missile or aircraft - Pyrometric conePyrometric conePyrometric cones are pyrometric devices that are used to gauge heatwork during the firing of ceramic materials. The cones, often used in sets of three as shown in the illustration, are positioned in a kiln with the wares to be fired and provide a visual indication of when the wares have reached a...
, pyrometric devices that are used to gauge heatwork during the firing of ceramic materials - Roller cone bitRoller cone bitA roller-cone bit is a drill bit used for drilling through rock, for example when drilling for oil and gas.- Characteristics :The bits are sub divided into different categories depending on soil condition. There are three main categories: soft, medium and hard formation bits. Soft formation rock...
, a drill bit used for drilling through rock, for example when drilling for oil and gas - Skid coneSkid coneIn forestry, a skid cone is a hollow steel or plastic cone placed over the sawn end of a log. When skidding logs end-wise, it presents a pointed end that deflects itself past obstacles....
, a hollow steel or plastic cone placed over the sawn end of a log - Speaker coneSpeaker coneA speaker cone, loudspeaker cone or diaphram can be manufactured from various materials depending on driver implementation , desired frequency response for each driver, and cost....
, the cone inside a loudspeaker that moves to generate sound - Spinning coneSpinning coneSpinning cone columns are used in a form of steam distillation to gently extract volatile chemicals from liquid foodstuffs while minimising the effect on the taste of the product...
columns are used in a form of steam distillation to gently extract volatile chemicals from liquid foodstuffs
- Bonnie Ethel ConeBonnie Ethel ConeBonnie Ethel Cone was an American educator best known as the founder of the University of North Carolina at Charlotte.-Early life:...
(1907–2003), an American educator best known as the founder of the University of North Carolina at Charlotte - Carin ConeCarin ConeCarin Alice Cone Vanderbush is an American swimmer, olympic medalist, world record holder, and gold winner from the Pan American Games. She competed at the 1956 Olympic Games in Melbourne, where she received a silver medal in 100 m backstroke, having the same time as Judy Grinham who was judged...
(born 1940), an American swimmer, Olympic medalist, world record holder, and gold medal winner from the Pan American Games - Chadrick ConeChadrick ConeChadrick Cone was an American football wide receiver for the Georgia Force in the Arena Football League.-High school:...
(born 1983), an American football wide receiver for the Georgia Force in the Arena Football League - Cone sisters: Claribel Cone (1864–1929) and Etta Cone (1870–1949), collectors and socialites
- David ConeDavid ConeDavid Brian Cone is a former Major League Baseball pitcher. During a 17-year baseball career, he pitched from 1986-2003 for six different teams. Cone pitched the sixteenth perfect game in baseball history. He also set the MLB record for most years between 20-win seasons. He was a member of five...
(born 1963), a former Major League Baseball pitcher - Edward T. ConeEdward T. ConeEdward Toner Cone was an American composer, music theorist, pianist, and philanthropist.Cone studied composition under Roger Sessions at Princeton University, receiving his bachelor's in 1939...
(1917–2004), an American music theorist and composer - Fairfax M. ConeFairfax M. ConeFairfax Mastick Cone or Fax Cone, was an American businessperson, advertising executive and the former director of the American Association of Advertising Agencies.- Early years :...
(1903–1977), former director of the American Association of Advertising Agencies - Fred Cone (baseball)Fred Cone (baseball)Joseph Frederick Cone was a Major League Baseball player for the 1871 Boston Red Stockings.-Sources:...
(1848–1909), pioneer professional baseball player - Fred Cone (running back) (born 1926), former professional American football running back
- Fred P. ConeFred P. ConeFrederick Preston Cone was the 27th Governor of Florida.He was born in Benton, Florida in Columbia County. In 1892, he was admitted to the Florida bar and began practicing in Lake City, Florida. He served in the Florida Senate from 1907 to 1913, serving as the senate president in 1911. He became...
(1871–1948), the twenty-seventh governor of Florida (Frederick Preston) - Jason McCaslinJason McCaslinJason Paul "Cone" McCaslin is a Canadian musician. He is the bass guitarist and backing vocalist of punk rock band Sum 41. He joined the band in November 1998. Sum 41 was signed by Island Records about a year after he joined...
, nicknamed Cone, bassist for the Canadian band Sum 41 - James Hal ConeJames Hal ConeJames Hal Cone is an advocate of Black liberation theology, a theology grounded in the experience of African Americans, and related to other Christian liberation theologies. In 1969, his book Black Theology and Black Power provided a new way to articulate the distinctiveness of theology in the...
(born 1938), an advocate of Black liberation theology - John ConeJohn ConeJohn Cone is an American professional wrestling referee currently working for WWE.-Career:Cone started refereeing independent wrestling matches in August 1995. He worked for Harley Race World League Wrestling from 1999 to 2006 and got his big break when a WWE official attended a match he refereed....
, an American professional wrestling referee - John J. ConeJohn J. ConeJohn J. Cone was the fourth Supreme Knight of the Knights of Columbus from 1898 to 1899 and Fire Commissioner of Jersey City, New Jersey.Cone was a founding member of Jersey City Council #137 of the Knights of Columbus on November 3, 1895...
, the fourth Supreme Knight of the Knights of Columbus from 1898 to 1899 - Mac ConeMac ConeMac Cone is a Canadian show jumper.At the 2008 Summer Olympics in Beijing, Cone won the silver medal as part of the Canadian team in team jumping, together with Jill Henselwood, Eric Lamaze, and Ian Millar....
(born 1952), a Canadian show jumper - Martin ConeMartin ConeMartin Cone was a Catholic priest in the United States and served as the 6th president of St. Ambrose College in Davenport, Iowa from 1930-1937.-Biography:...
, the 6th president of St.
Unanswered Questions
