Look up scalar in Wiktionary, the free dictionary. Scalar may refer to: Scalar (mathematics), an element of a field, which is used to define a vector space...
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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...
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Tensor–vector–scalar gravity (TeVeS), developed by Jacob Bekenstein in 2004, is a relativistic generalization of Mordehai Milgrom's Modified Newtonian...
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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...
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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...
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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...
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In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract...
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Triple product (redirect from Scalar triple product)
different products, the scalar-valued scalar triple product and, less often, the vector-valued vector triple product. The scalar triple product (also called...
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In the mathematical field of Riemannian geometry, the scalar curvature (or the Ricci scalar) is a measure of the curvature of a Riemannian manifold. To...
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Dot product (redirect from Scalar product)
In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors)...
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the scalar projection of a vector a {\displaystyle \mathbf {a} } on (or onto) a vector b , {\displaystyle \mathbf {b} ,} also known as the scalar resolute...
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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...
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Diagonal matrix (redirect from Scalar matrix)
scalar matrix; that is, a scalar multiple λ of the identity matrix I. Its effect on a vector is scalar multiplication by λ. For example, a 3×3 scalar...
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Vector space (redirect from Field of scalars)
can be added together and multiplied ("scaled") by numbers called scalars. Scalars are often real numbers, but can be complex numbers or, more generally...
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Scalars (or scalar quantities) are physical quantities that are unaffected by changes to a vector space basis (i.e., a coordinate system transformation)...
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Vector projection (redirect from Scalar resolute)
scalar magnitude by writing it as a 1 = a 1 b ^ {\displaystyle \mathbf {a} _{1}=a_{1}\mathbf {\hat {b}} } where a 1 {\displaystyle a_{1}} is a scalar...
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Electric potential (redirect from Electric scalar potential)
quantity expressed as the gradient of the electrostatic potential, which is a scalar quantity denoted by V or occasionally φ, equal to the electric potential...
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In mathematical physics, scalar potential describes the situation where the difference in the potential energies of an object in two different positions...
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Matrix calculus (section Scalar-by-scalar identities)
two groups can be distinguished by whether they write the derivative of a scalar with respect to a vector as a column vector or a row vector. Both of these...
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In high energy physics, a scalar meson is a meson with total spin 0 and even parity (usually noted as JP=0+). In contrast, pseudoscalar mesons have odd...
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Line integral (redirect from Line integral of a scalar field)
scalar field or a vector field. The value of the line integral is the sum of values of the field at all points on the curve, weighted by some scalar function...
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theoretical physics, scalar field theory can refer to a relativistically invariant classical or quantum theory of scalar fields. A scalar field is invariant...
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Surface integral (redirect from Surface integral of a scalar field)
surface, one may integrate over this surface a scalar field (that is, a function of position which returns a scalar as a value), or a vector field (that is,...
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Inner product space (redirect from Scalar product space)
called an inner product. The inner product of two vectors in the space is a scalar, often denoted with angle brackets such as in ⟨ a , b ⟩ {\displaystyle \langle...
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context of applications to general relativity, the Kretschmann scalar is a quadratic scalar invariant. It was introduced by Erich Kretschmann. The Kretschmann...
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Vector algebra relations (redirect from Scalar quadruple product)
of a vector ‖ A ‖ {\displaystyle \|\mathbf {A} \|} and the dot product (scalar product) of two vectors A·B, apply to vectors in any dimension, while identities...
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Scalar control of an AC electrical motor is a way to achieve the variable speed operation by manipulating the supply voltage or current ("magnitude") and...
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Array programming (redirect from Scalar programming)
languages) have been engineered specifically to generalize operations on scalars to apply transparently to vectors, matrices, and higher-dimensional arrays...
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Euclidean vector (section Scalar multiplication)
often called scalars (from scale) to distinguish them from vectors. The operation of multiplying a vector by a scalar is called scalar multiplication...
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Vector calculus (section Scalar fields)
§ Generalizations below for more). A scalar field associates a scalar value to every point in a space. The scalar is a mathematical number representing...
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