This paper studies symplectic manifolds that admit semi-free circle actions with isolated fixed points. We prove, using results on the Seidel element [4], that the (small) quantum cohomology of a 2n dimensional manifold of this type is isomorphic to the (small) quantum cohomology of a product of n copies of P. This generalizes a result due to Tolman and Witsman [11].

We give an elementary proof of what is perhaps the earliest fixed point theorem; namely Leonhard Euler’s theorem of 1775 on the existence of an axis v for any three-dimensional rotation R. The proof is constructive and shows that no multiplications are required to compute v. Mathematics Subject Classification (2000). Primary 55M20, 01A50.

Proteomic analysis of formalin-fixed paraffin-embedded (FFPE) tissue would enable retrospective biomarker investigations of this vast archive of pathologically characterized clinical samples that exist worldwide. These FFPE tissues are, however, refractory to proteomic investigations utilizing many state of the art methodologies largely due to the high level of covalently cross-linked proteins ...

We analyze Bertrand’s price competition in a homogenous good market with a fixed cost and an increasing marginal cost (i.e., with variable returns to scale). If the fixed cost is avoidable, we show that the non-subadditivity of the cost function at the output corresponding to the oligopoly break-even price, denoted by D(pL(n)), is sufficient to guarantee that the market supports an equilibrium ...

Arrow's Theorem, in its social choice function formulation, assumes that all nonempty finite subsets of the universal set of alternatives is potentially a feasible set. We demonstrate that the axioms in Arrow's Theorem, with weak Pareto strengthened to strong Pareto, are consistent if it is assumed that there is a prespecified alternative which is in every feasible set. We further show that if ...

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We propose a possible realization of the overscreened Kondo impurity problem by a magnetic s = 1/2 impurity embedde...

MATERIAL AND METHODS: A MEDLINE (PubMed) database search from 1966 to April 2008 was conducted. The search strategy was a combination of MeSH terms and the key words: design, dental implant(s), risk, prosthodontics, fixed prosthodontics, fixed partial denture(s), fixed dental prosthesis (FDP), fixed reconstruction(s), oral rehabilitation, bridge(s), removable partial denture(s), overdenture(s)....

Implementations of fixed-template Cellular Neural Networks (CNN’s) with reduced circuit complexity are presented. Considerable improvements in area without performance degradation have been obtained by: 1) using single-polarity signals that reduce the number of transistors required for signal replication and to generate the pseudo-linear output function; 2) using simple current-mode circuits to...

The return on a bond investment comes from three sources: Interest payments, realized capital gains and accrued capital gains. We provide an exact description on how the capital gains can be measured under a variety of accounting rules for measuring accruals and study the theoretical properties of such rules, their taxation consequences and the relation between the yield before tax and the yiel...