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 s ...
, 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)
In physics, scalars (or scalar quantities) are physical quantities that are unaffected by changes to a vector space basis (i.e., a coordinate system transformation). Scalars are often accompanied by units of measurement, as in "10 cm".
Example ...
, 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 an expression, formed from items of the theory, which evaluates to a scalar, invariant under any Lorentz transformation. A Lorentz scalar may be generated from e.g., the scalar product of ve ...
, a quantity in the theory of relativity which is invariant under a Lorentz transformation
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Pseudoscalar, a quantity that behaves like a scalar, except that it changes sign under a parity inversion
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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
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Scalar boson
A scalar boson is a boson whose spin equals zero. ''Boson'' means that the particle's wave function is symmetric under particle exchange and therefore follows Bose–Einstein statistics. The spin-statistics theorem implies that all bosons have ...
, 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 as a result". It is also used sometimes for other symmetric bilinear forms, for example in a pseudo-Euclidean space. is an alg ...
, also known as scalar product
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dimensionless quantity
A dimensionless quantity (also known as a bare quantity, pure quantity, or scalar quantity as well as quantity of dimension one) is a quantity to which no physical dimension is assigned, with a corresponding SI unit of measurement of one (or 1) ...
, 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, often ...
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Scalar field
In mathematics and physics, a scalar field is a function associating a single number to every point in a space – possibly physical space. The scalar may either be a pure mathematical number ( dimensionless) or a scalar physical quantit ...
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Scale (music)
In music theory, a scale is any set of musical notes ordered by fundamental frequency or pitch. A scale ordered by increasing pitch is an ascending scale, and a scale ordered by decreasing pitch is a descending scale.
Often, especially in t ...
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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
A kitc ...
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Pterophyllum scalare'' (Lichtenstein, 1823), a species of freshwater angelfish
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Scala (disambiguation)
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