This fMRI study examines how students extend their mathematical competence. Students solved a set of algebra-like problems. These problems included Regular Problems that have a known solution technique and Exception Problems that but did not have a known technique. Two distinct networks of activity were uncovered. There was a Cognitive Network that was mainly active during the solution of probl...

Abstract This article is concerned with the study of initial value problem for three-dimensional viscous Boussinesq system in thin domain Ω ≔ mathvariant="double-struck">R 2 × ( 0 , <m:m...

Let G be a split connected reductive algebraic group. E ? B $\mathcal {E}\longrightarrow \mathcal {B}$ × $G\times G$ -torsor over smooth base scheme and X regular compactification of G. We describe the Grothendieck ring associated fibre bundle ( ) : = {E}(X):=\mathcal {E}\times _{G\times G} X$ , as an algebra canonical toric flag . These are relative versions corresponding results on in case wh...