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It is important to note that the affine arc-length is related to area and does not have an intuitive relation to usual Euclidean length.
The proof uses an intuitive relation between a 3d tetrahedralisation and a sequence of 2d flips.
The modern "theory of the concept," accordingly, is based on the fundamental notions of function, series, and order (relational structure) — where these notions, from the point of view of pure mathematics and pure logic, are entirely formal and abstract, having no intuitive relation, in particular, to either space or time.
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However, it is psychologically implausible that the intricate system of weighted respects of similarity involving comparison of miracles of different sizes could capture the intuitive similarity relation used in counterfactual reasoning.
If the general idea is promising, non-cognitivists should aim to provide a systematic story linking simple and complex sentences to attitudes of the right sort to capture intuitive logical relations among those sentences.
Non-cognitivists have developed various ingenious strategies for constructing a theory that preserves the intuitive logical relations between normative attitudes, non-normative attitudes and various mixed attitudes, along with the sentences that express them.
These findings reassured us that our methodology was specific enough to re-establish known, and intuitive physiological relations not associated with pressors.
Especially, the Problem-Action relationship is intuitive, and the relation is extensible to neighboring events.
The strong counter-intuitive inverse univariate relation between smoking and visual acuity disappeared after age and sex adjustment (Table 1) while a similar association between smoking and DR persisted after adjustment in UKPDS [ 40].
The degree of certainty with which this relation, viz., intuitive connection, can be undertaken, and nothing else, differentiates empty fantasy from scientific "truth".
In contrast, when performing a probabilistic (kernel) PCA of all cell stages, it is possible to identify complex multivariate subpopulations, and by simultaneously displaying all cells, the PCA plot provides an intuitive illustration of the relation between all cell populations.
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