Sentence examples for concepts of length from inspiring English sources
Thus, a measure is the generalization of the concepts of length, area and volume [23].
It would result in "a proliferation of concepts of length, of temperature, and of all other scientific concepts that would not only be practically unmanageable, but theoretically endless".
As a part of this, we attempt to answer the critical questions: are vague shape descriptors representing the concepts of length, width, and height good discriminators of molecular shape?
Hence, to accept the parallel postulate is to deny the possibility of an absolute concept of length.
So the central problem faced by Lebesgue was not integration as such at all; it was to generalize the concept of length to sufficiently complicated sets.
Next, methods of numerical analysis of gas particle flows are classified based on the concept of length scale.
Poncelet's followers realized that they were hampering themselves, and disguising the true fundamentality of projective geometry, by retaining the concept of length and congruence in their formulations, since projections do not usually preserve them.
First, the unit mesh metric is defined and well justified on a node basis, by using the statistical concept of length distribution tensors.
Although the cross ratio was used extensively by early 19th-century projective geometers in formulating theorems, it was felt to be a somewhat unsatisfactory concept because its definition depended upon the Euclidean concept of length, a concept from which projective geometers wanted to free the subject altogether.
In the language of the limited question considered, a listing of all sample values (random numbers) of an infinite sequence of statistically independent random variables can be printed out by a Turing machine, at least in the simple case, with strict adherence to the definition of all probabilistic terms as based on measure theory, the theory that generalizes the concept of length.
