Sentence examples for parts of analysis from inspiring English sources

Thus proving this notion to be consistent with intuitionistic arithmetic and certain parts of analysis.

Large parts of analysis have been axiomatized from a constructive point of view (Kleene 1965, Troelstra 1973).

It is well known that the Hardy-Littlewood maximal function plays an important role in many parts of analysis.

Such spaces have been studied for almost 40 years and a number of applications of such spaces in various parts of analysis, probability, and mathematical statistics are known.

In other words, there is its genesis in the context of quantum mechanics which emphasizes its symplectic role in the theory of theta functions and related parts of analysis.

In Bolzano's case, the aim of providing a reconstruction of parts of analysis and geometry, so that the exposition would use only "explanatory" proofs, also led to major mathematical results, such as his purely analytic proof of the intermediate value theorem.

This part of analysis is carried out to explore all possible subsets of the attributes and predicting the accuracy of the different attribute subset sizes giving comparable results.

As the age groups were different between Africa (under 5 years old) and Asia (children and adults), we conducted this part of analysis separately for the 2 continents.

Logistic regression was used for this part of analysis.

This prevented us from considering the temporal order of events in this part of analysis.

A total of eight studies (1288 patients) were included in this part of analysis.