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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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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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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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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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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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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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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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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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...
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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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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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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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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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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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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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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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Vector notation (redirect from Scalar division)
vectors and scalars to span a four-dimensional space. For a quaternion q = a + bi + cj + dk, Hamilton used two projections: S q = a, for the scalar part of...
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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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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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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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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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Gradient (redirect from Gradient of a scalar)
In vector calculus, the gradient of a scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued...
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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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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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scalar chromodynamics, also known as scalar quantum chromodynamics or scalar QCD, is a gauge theory consisting of a gauge field coupled to a scalar field...
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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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