Saxl Conjecture for triple hooks

A Completion Conjecture for Kirkman Triple Systems

A bound for Feichtinger conjecture

In this paper‎, ‎using the discrete Fourier transform in the finite-dimensional Hilbert space C^n‎, ‎a class of nonRieszable equal norm tight frames is introduced ‎and‎ using this class, a bound for Fiechtinger Conjecture is presented. By the Fiechtinger Conjecture that has been proved recently, for given A,C>0 there exists a universal constant delta>0 independent of $n$ such that every C-equal...

Hooks and Shifts 1 Running head: HOOKS AND SHIFTS Hooks and Shifts in Instrumented Mathematics Learning

This paper presents and analyzes vignettes selected from empirical data gathered in a designbased research study investigating the microgenesis of proportional reasoning through technology-mediated embodied interaction. 22 Grades 4-6 students participated in individual or paired semi-structured clinical interviews in which they engaged in problem-solving activities involving remote manipulation...

Requirements for a Hooks Tool

Object-oriented frameworks can be complex and di cult to use. Tool support can greatly aid developers in using these frameworks. However, existing tools, such as graphical user interface builders, only support one framework and are not easily customized. Hooks, which describe the intended use of a framework, can form the basis of a general, exible tool that supports many di erent frameworks. Th...

The Auslander-Reiten Conjecture for Group Rings

This paper studies the vanishing of $Ext$ modules over group rings. Let $R$ be a commutative noetherian ring and $ga$ a group. We provide a criterion under which the vanishing of self extensions of a finitely generated $Rga$-module $M$ forces it to be projective. Using this result, it is shown that $Rga$ satisfies the Auslander-Reiten conjecture, whenever $R$ has finite global dimension and $ga...