## scalars

Noun

- plural form of
*scalar*

- Thus every quaternion may be written in the form q = Sq+Vq, where either Sq or Vq may separately vanish; so that ordinary algebraic quantities (or
**scalars**, as we shall call them) and pure vectors may each be regarded as special cases of quaternions. - A n are
**scalars**, and in particular applications may be restricted to real or complex numerical values. - This idea finds fuller expression in the algebra of matrices, as to which it must suffice to say that a matrix is a symbol consisting of a rectangular array of
**scalars**, and that matrices may be combined by a rule of addition which obeys the usual laws, and a rule of multiplication which is distributive and associative, but not, in general, commutative. - Combebiac's tri-quaternions, which require the addition of quasi-
**scalars**, independent of one another and of true**scalars**, and analogous to true**scalars**. - To fix a weighted point and a weighted plane in Euclidean space we require 8
**scalars**, and not the 12**scalars**of a tri-quaternion.

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