Sentence examples for fundamental generalizations from inspiring English sources

His deductive manner of treating any subject is wholly opposed to my frame of mind.…His fundamental generalizations (which have been compared in importance by some persons with Newton's laws!) which I dare say may be very valuable under a philosophical point of view, are of such a nature that they do not seem to me to be of any strictly scientific use.

Darwin wrote of Spencer's speculations: His deductive manner of treating any subject is wholly opposed to my frame of mind.…His fundamental generalizations (which have been compared in importance by some persons with Newton's laws!) which I dare say may be very valuable under a philosophical point of view, are of such a nature that they do not seem to me to be of any strictly scientific use.

Xenopus do not conform to a fundamental generalization in evolutionary biology-Haldane's rule [ 1- 7].

Because of its fundamental importance, several generalizations and analogous results of Gronwall inequality [1, 2] and its applications have attracted great interests of many mathematicians (e.g., [3 5]).

We study various generalizations of fundamental communication models for cognitive radios, using new equilibrium concepts beyond Nash theory that can capture the realistic aspects of spectrum sharing.

This fact (and its various generalizations) are fundamental for direct methods in the calculus of variations.

Self-referential systems of this type can usually fulfil two fundamental performances: selection and generalization.

The Banach contraction theorem and its subsequent generalizations play a fundamental role in the field of fixed point theory.

One kind of response is to analyze explanations closely tied to experimental practice (rather than sweeping generalizations of a fundamental theory) in order to determine whether there are uniform patterns of reasoning about genes that could (a) be codified into clear concepts, and/or (b) used to establish the reference of the term.

(His first paper was withdrawn on the advice of Pavel Sergeyevich Alexandrov and Heinz Hopf, on the grounds that the groups were commutative so could not be the right generalizations of the fundamental group).

Generalization is a fundamental relationship in object orientation and in the UML (Unified Modeling Language).