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Scalar may refer to: *
Scalar (mathematics) A scalar is an element of a field which is used to define a ''vector space''. In linear algebra, real numbers or generally elements of a field are called scalars and relate to vectors in an associated vector space through the operation of scal ...
, an element of a field, which is used to define a vector space, usually the field of real numbers *
Scalar (physics) Scalar quantities or simply scalars are physical quantities that can be described by a single pure number (a ''scalar'', typically a real number), accompanied by a unit of measurement, as in "10cm" (ten centimeters). Examples of scalar are le ...
, a physical quantity that can be described by a single element of a number field such as a real number **
Lorentz scalar In a relativistic theory of physics, a Lorentz scalar is a scalar expression whose value is invariant under any Lorentz transformation. A Lorentz scalar may be generated from, e.g., the scalar product of vectors, or by contracting tensors. Whil ...
, a quantity in the theory of relativity which is invariant under a Lorentz transformation **
Pseudoscalar In linear algebra, a pseudoscalar is a quantity that behaves like a scalar, except that it changes sign under a parity inversion while a true scalar does not. A pseudoscalar, when multiplied by an ordinary vector, becomes a '' pseudovector'' ...
, a quantity that behaves like a scalar, except that it changes sign under a parity inversion *
Scalar (computing) Scalar processors are a class of computer processors that process only one data item at a time. Typical data items include integers and floating point numbers. Classification A scalar processor is classified as a single instruction, single da ...
, any non-composite value *
Scalar boson A scalar boson is a boson whose spin equals zero. A ''boson'' is a particle whose wave function is symmetric under particle exchange and therefore follows Bose–Einstein statistics. The spin–statistics theorem implies that all bosons have a ...
, in physics, a boson subatomic particle whose spin equals zero


See also

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dot product In mathematics, the dot product or scalar productThe term ''scalar product'' means literally "product with a Scalar (mathematics), scalar as a result". It is also used for other symmetric bilinear forms, for example in a pseudo-Euclidean space. N ...
, also known as scalar product *
dimensionless quantity Dimensionless quantities, or quantities of dimension one, are quantities implicitly defined in a manner that prevents their aggregation into unit of measurement, units of measurement. ISBN 978-92-822-2272-0. Typically expressed as ratios that a ...
, also known as scalar quantity *
Inner product space In mathematics, an inner product space (or, rarely, a Hausdorff pre-Hilbert space) is a real vector space or a complex vector space with an operation called an inner product. The inner product of two vectors in the space is a scalar, ofte ...
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Scalar field In mathematics and physics, a scalar field is a function associating a single number to each point in a region of space – possibly physical space. The scalar may either be a pure mathematical number ( dimensionless) or a scalar physical ...
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Scale (music) In music theory, a scale is "any consecutive series of notes that form a progression between one note and its octave", typically by order of pitch or fundamental frequency. The word "scale" originates from the Latin ''scala'', which literal ...
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Scaler (disambiguation) Scaler may refer to: * Periodontal scaler, an anti-plaque tool * Video scaler, a system which converts video signals from one resolution to another * ''Scaler'' (video game), a 2004 video game * Fish scaler, a food preparation utensil See also ...
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Pterophyllum scalare ''Pterophyllum scalare'', most commonly referred to as angelfish or freshwater angelfish, is the most common species of ''Pterophyllum'' kept in captivity. It is native to the Amazon Basin in Peru, Colombia, and Brazil. Particularly to the Ucayal ...
'' (Lichtenstein, 1823), a species of freshwater angelfish *
Scala (disambiguation) Scala or SCALA may refer to: Automobiles * Renault Scala, multiple automobile models * Škoda Scala, a Czech compact hatchback Music * Scala (band), an English electronic music group * Escala (group), an electronic string quartet formerly known ...
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