Scalar may refer to:
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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
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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
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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
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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
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Scalar (computing), any non-composite value
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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
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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
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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)
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Pterophyllum scalare'' (Lichtenstein, 1823), a species of freshwater angelfish
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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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