Sentence examples for role of proof from inspiring English sources

This is no surprise since, as one applies automated reasoning systems into richer areas of mathematics, the systems take more on the role of proof assistants than theorem provers.

This conception keeps two of the three basic ingredients of Prawitz-style proof-theoretic semantics (see section 2.2.2): the role of proof reduction and the substitutional view of assumptions.

The results also suggest that, for this diverse group, learning how to prove theorems is the most prominent role of proof in upper division undergraduate mathematics courses and that this training is considered preparation for graduate mathematics studies.

While research on the role of definitions in education is related to the L side, research on the role of proof in mathematics education (Hanna 2000; Pedemonte 2007; Tall 2014) is related to the C side.

The role of proofs, too, is transformed: they have not only to provide subjective certainty, but above all to integrate the theorems into the whole conceptual system.

Studies therefore often elaborate on cognitive difficulties and conceptual obstacles experienced by students in how mathematics is communicated to them (Artigue et al. 2007), particularly referring to the formal level of university mathematics and the prevalent role of proofs (Selden and Selden 2005).

The results suggest there is a great deal of variation in the role and purpose of proof in and among mathematics courses and that factors such as the course title, audience, and instructor influence this variation.

The role of this proof in history is the subject of much speculation.

Henry Ian Cusick is staying on ABC with a role on "Body of Proof".

The paper examines the roles and purposes of proof mentioned by university research faculty when reflecting on their own teaching and teaching at their institutions.

Assumption A.3 imposed on the jump-diffusion coefficient plays a vital role in the process of proof, but it is not unique.