A number Usually used in contexts where there are also vectors around, or functions Examples of usage: "the length of a vector is a scalar;" "-3 sin x is a scalar multiple of sin x "
a physical quantity which can be specified by a single numerical value, including the unit (Strictly the value must be the same in all reference frames or coordinate systems that are not moving relative to one another ) Most electrical quantities including charge, potential and emf, are scalars Electric field and magnetic filed are not scalars - they are vector quantities
(n ) a single datum that is not an array; or (adj ) not having the property of being an array
A physical quantity that involves magnitude, but not direction Examples are speed, temperature, and pressure Quantities that also involve direction, such as velocity, are called vectors
a variable quantity that cannot be resolved into components of or relating to a directionless magnitude; "scalar implicatures
Any physical quantity whose field can be described by a single numerical value at each point in space A scalar quantity is distinguished from a vector quantity by the fact that a scalar quantity possesses only magnitude, whereas a vector quantity possesses both magnitude and direction
(1) In Fortran 90, a single object of any intrinsic or derived type A structure is scalar even if it has a component that is an array The rank of a scalar is 0 (2) A nonvectorized, single numerical value that represents one aspect of a physical quantity and may be represented on a scale as a point This term often refers to a floating-point or integer computation that is not vectorized; more generally, it also refers to logical and conditional (jump) computation
The coefficient of k in the three-dimensional curl of a two-dimensional vector field
Since the curl of the vector field \vec{F}=(xy,xy,0) is the vector field \vec{\nabla}\times\vec{F}=(0,0,y-x), the scalar curl of the vector field \vec{G}=(xy,xy) is the scalar field y-x\;.
The product of two vectors computed as the sum of the corresponding elements of the vectors, or, equivalently, as the product of the magnitudes of the vectors and the cosine of the angle between their directions