Search results for "Converse"
showing 3 items of 13 documents
Complexity of gauge bounded Cartier algebras
2019
We show that a gauge bounded Cartier algebra has finite complexity. We also give an example showing that the converse does not hold in general.Communicated by Graham J. Leuschke
Strong Converse Results for Linking Operators and Convex Functions
2020
We consider a family B n , ρ c of operators which is a link between classical Baskakov operators (for ρ = ∞ ) and their genuine Durrmeyer type modification (for ρ = 1 ). First, we prove that for fixed n , c and a fixed convex function f , B n , ρ c f is decreasing with respect to ρ . We give two proofs, using various probabilistic considerations. Then, we combine this property with some existing direct and strong converse results for classical operators, in order to get such results for the operators B n , ρ c applied to convex functions.
Teacher smiles as an interactional and pedagogical resource in the classroom
2020
In classroom settings, laughter and smiles are resources for action that are available to both teachers and students. Recent interactional studies have documented how students use these resources to deal with trouble of various kind, but less is known about the sequential and activity contexts of teachers’ laughter-relevant practices, as well as their pedagogical functions. We use multimodal conversation analysis (CA) to investigate the interactional unfolding and pedagogical orientations of teacher smiles during instructional IRE (initiation-response-evaluation) sequences in a corpus of 37 bilingual lessons collected in schools in Finland and Spain. In analysing the focal smiles, we pay at…