Sentence examples for mathematics which takes from inspiring English sources
On this basis he suggested the possibility of developing a form of intuitionistic mathematics which takes the "practicability" of numerical representations into account.
The realist is likely to suppose that the relevant facts include the facts of mathematics, which, taken at face value, do require the existence of numbers, sets, and so on.
Rosenblum submitted a paper to the American Journal of Mathematics which took a long time refereeing it before rejecting it.
He has publicly affirmed the importance of complying with Turkey's secular laws, and mathematics and science competitions at Gulen schools overshadow religious expression, which takes place quietly in "relaxation rooms" that double as prayer spaces.
Also worth a listen is the BBC's mathematics show More or Less, hosted by the Undercover Economist Tim Harford, which takes a look at the real stories behind the statistics found in the news.
An important book inspired by the set-theoretic style of thinking was Hilbert's Grundlagen der Geometrie (1899), which took the "mathematics of axioms" one step beyond Dedekind through a rich study of geometric systems motivated by questions concerning the independence of his axioms.
The signal processing and applied mathematics communities have developed, in recent years, signal representations which take advantage of Gabor-type and wavelet-type functions that localize signal energy in a joint time-frequency and/or space-frequency domain.
The first is to change the aim of mathematics, which is not taken to be truth, but something different.
In particular, the consistency of mathematics, which may be taken, for instance, to be the metamathematical assertion that the mathematical statement 0 = 1 is not provable, ought to be a metatheorem that is, provable within the syntax of mathematics.
