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Viewing Version 2 of 'scalar'
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Title of object: scalar
Canonical Name: Scalar
Type: Definition

Created on: 2001-11-15 14:04:31-05
Modified on: 2002-02-02 02:05:05-05

Creator: slider142
Modifier: slider142
Author: slider142

Classification: msc:11-00
Keywords: scalar

Revision comment (for changes between this and next version):

Changes for correction #1005 ('Misclassification, more specific').

Preamble:

\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
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\usepackage{xypic}
Content:

A scalar is an element of a set with only one dimension (is invariant under rotation), and/or a tensor of rank 0. For example, the number 1 is a scalar, so is any number or variable $n\in\mathbb{R}$. The point $(3,4)$ is not a scalar because it is variable under rotation and belongs to a basis with dimension more than 1.