Sentence examples for definition of dimension from inspiring English sources

He also gave the first correct definition of dimension.

Highlights: invariance of dimension, fixed point theorem, mapping degree, definition of dimension.

A particular definition of dimension, the so-called box dimension, is employed in fractal and multifractal analysis.

As van Dalen (2005, p. 450) observes, Brouwer's definition of dimension seems to be the first reformulation of an inductive definition as a game.

However in section 3 we will see that, using the tools of graph theory, a definition of dimension can indeed be given.

From a mathematical point of view there are different definitions of dimension.

By the definition of couniserial dimension, if (M) has couniserial dimension and (N) is a submodule of (M), then (N) has couniserial dimension and c.u.dim((N) le ) c.u.dim((M)).

In this study, we followed the dimensions constructed by McAllister et al. [ 11], but there are without doubt other conceptual definitions of dimensions of attitude towards self-harm.

Detailed definitions of dimensions and subscales and information on theory development have previously been described [ 15], as have the methods for calculating instrument outcome scores [ 20].

Let us recall the definition of uniserial dimension [20].

We begin this section with a lemma and a remark on the definition of couniserial dimension.