Sentence examples for foundations of analysis from inspiring English sources
While geometry was being purged from the foundations of analysis, its spirit was taking over the superstructure.
The moral of these developments is perhaps the following: It may be possible and desirable to eliminate geometry from the foundations of analysis, but geometry still remains present as a higher-level concept.
Beneath the sophistry of these contradictions lie subtle and elusive concepts of limits and infinity, only completely explained in the 19th century when the foundations of analysis became more rigorous and the theory of transfinite numbers had been formulated.
Meanwhile the German mathematician Karl Weierstrass (1815 97) was completing the banishment of spatiotemporal intuition, and the infinitesimal, from the foundations of analysis.
Weierstrass was concerned to purge the foundations of analysis of all traces of the intuition of continuous motion in a word, to replace the variable by the static.
This reveals a further philosophical motivation for Dedekind's work on the foundations of analysis, although one not unconnected with the mathematics involved; and it is not hard to see an implicit anti-Kantian thrust in it.
Motion/force transmission is one of the most important issues and the foundation of analysis and optimal design in the field of parallel mechanisms.
This would not preclude deeper analysis of a given mutant by a centre, which would continue to use MP terms to describe the phenotype, but would provide a minimum foundation of analysis that the community can expect from all strains produced.
This tutorial provides a strong foundation on analysis of quantitative proteomics data.
