Recent evidence from economics and psychology highlights the importance of traits other than general intelligence for success in school and in life (Almlund, Duckworth, Heckman, & Kautz, 2011; Borghans, Duckworth, Heckman, & ter Weel, 2008; Moffitt et al., 2011). Disparities in so-called non-cognitive skills appear to contribute to the academic achievement gap separating wealthy from disadvanta...

Lutian Zhao UID: 661622198 The Duistermaat-Heckman theorems concern the measure associated to moment map of a torus action of symplectic manifold. Typically, this name refers to two theorems, one is called the ”Duistermaat-Heckman measure", which says that ”the Radon-Nikodym derivative is piecewise polynomial", the definition of each terms will be introduced later. The second one is called ”Dui...

The two main sources contributing to scroll compressor vibration at running frequency are the residual rotational unbalance in the crank-rotor assembly and the reciprocating force due to the Oldham ring. The intent of this paper is to develop a rigid body model of the compressor vibrating on resilient grommets. This model is a design tool capable of identifying the sensitivity, of the steady-st...

The asymptotics of characters $\chi_{k\lambda}(\exp(h/k))$ irreducible representations a compact Lie group $G$ for large values the scaling factor $k$ are given by Duistermaat-Heckman (DH) integrals over coadjoint orbits $G$. This phenomenon generalises to central extensions loop groups $\widehat{LG}$ and diffeomorphisms circle $\widehat{\rm Diff}(S^1)$. We show that integrable modules affine K...