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Vectors in this vector space (which is really fun to say because you sound cool) have the following properties: A vector plus a vector is also a vector. A scalar value multiplied a vector is a vector.
A real valued (respectively Banach space valued) set-function on a lattice of sets extends to a σ-additive measure on a σ-field provided it is finitely additive tight, continuous at $\varnothing$ and ...
Learn more on scalar and vector quantities, contact and non-contact forces in this podcast Listen to the full series on BBC Sounds.
Episode 1 - Scalar and vector quantities and contact forces Measurements can be split into two groups - scalar quantities and vector quantities.
We present some simple examples, a unified notation, references to the literature, and some general results for linear combinations of scalar and vector time series.
This variation between the scalar and vector modes manifests itself through a change in the degree of entanglement, as defined by Equation (3), which for the new light field takes the form ...