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What this shows is that, starting from discrete graphs, we have obtained an extension of the concept of dimension.
Either one takes the option to simply drop the notion of dimension on the basis of the argument that the concept of dimension presupposes a concept of continuity and topology and hence has no finitist meaning.
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According to Graf and Kinshuk [25, 26], the FS uses the concept of dimensions, and, therefore, describes LS more thoroughly.
We have extended this notion, by replacing mood tone (euphoria vs. sadness) by emotional reactivity (hyporeactive vs. hyperreactive), which is closer to the concept of dimensions, and because it may be considered as a quantitative symptom.
In addition, it presents the concept of fundamental dimension and derived dimension.
Ajmal and Kohli [4] have studied the concept of covering dimension in fuzzy topological spaces.
We also introduce the fundamental concept of the dimension function for SMI spaces.
In introductory courses for nuclear engineering, the concept of critical dimension and critical mass are introduced.
The concept of fractal dimension was introduced by Mandelbrot analyzing the coastline of Britain at different scales (Mandelbrot 1967).
Moreover, the effect of the moisture content on the ultrasonic fracturing was studied by employing the concept of fractal dimension.
In this paper, we extend the concept of covering dimension of general topological spaces to L-topological spaces using α-Q-covers and quasi-coincidence relation.
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