Sentence examples for constructive analysis of from inspiring English sources

Consultations help writers experience an objective and constructive analysis of their work, relieve writing-related anxiety and overcome obstacles in the writing process.

We give a constructive analysis of learning as it arises in various computational interpretations of classical Peano Arithmetic, such as Aschieri and Berardi learning based realizability, Avigad's update procedures and epsilon substitution method.

System B is there shown to be expressive enough to represent the constructive analysis of Bishop (1967) whilst being at the same time proof-theoretically very weak (due to the absence of set induction).

Because these principles also underly Russian recursive analysis and the constructive analysis of E. Bishop and his followers, intuitionistic logic may be considered the logical basis of constructive mathematics.

For a constructive analysis of the periodic boundary value problem for systems of non-linear non-autonomous ordinary differential equations, a numerical-analytic approach is developed, which allows one to both study the solvability and construct approximations to the solution.

That would be more than a little bit awkward.[39] To avoid this kind of awkwardness, we think that the Skolemite should frame his argument, less as a criticism of our ordinary set-theoretic notions, and more as a constructive analysis of the algebraic conception of set theory.

In 1968, Martin-Löf published his Notes on Constructive Mathematics, based on lectures he had given in Europe in 1966 68; so his involvement with constructivism in mathematics goes back at least to the period of Bishop's writing of Foundations of Constructive Analysis.

"I would like to acknowledge the gracious and generous contributions of Mr. Barry Smith (not his real name) who wholeheartedly endorsed and supported this exercise in a true spirit of constructive analysis and forward sightedness," Aylen wrote.

The situation of the intermediate value theorem is typical of many in constructive analysis, where we find one classical theorem with several constructive versions, some or all of which may be equivalent under classical logic.

However, constructive analysis remains on the fringes of the mathematical mainstream, probably because most mathematicians accept classical existence proofs and see no need for the additional mathematical baggage involved in carrying out analysis constructively.

These relations and operations are subject to the following three groups of axioms, which, taken together, form the system CA of axioms for constructive analysis, or the constructive real numbers (see Bridges [1999]).