Logarithms occur in definitions of the dimension of fractals.
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.
From a mathematical point of view there are different definitions of dimension.
During training, listeners were provided with definitions of rating dimensions, accuracy feedback, and anchor samples.
A particular definition of dimension, the so-called box dimension, is employed in fractal and multifractal analysis.
However in section 3 we will see that, using the tools of graph theory, a definition of dimension can indeed be given.
He also gave the first correct definition of dimension.
Highlights: invariance of dimension, fixed point theorem, mapping degree, definition of dimension.
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.
In addition, the definition of such dimensions for big data, even if inspired by the traditional ones (discussed in Sect. 2), is quite complex due to unstructuredeness of data, semantics, etc., and still target of active research nowadays.
This explains why we consider bounded (in both directions) complexes of projective modules in our definition of bounded projective dimension of objects of $D R)$.
