This paper describes a new theory of how spreading a c t i v a t i o n may occur in assoc ia t ive memory models formulated as p a r a l l e l a c t i v a t i o n networks. The theory postu la tes t ha t compet i t ion fo r a c t i v a t i o n by nodes/concepts in a network is a fundamental p r i n c i p l e of memory r e t r i e v a l . Using only exc i t a t o r y connections between concepts...

This paper is to contributive to the model theory of ordered abelian groups (o.a.g. for short). The basic elements to build up the algebraic structure of the o.a.g-s are the archimedean groups: By Hahn's embedding theorem every o.a.g. can be represented as a subgroup of the Hahn-product of archimedean o.a.g.s. Archimedean is not a first-order concept but there exists a first-order model theory ...

Contents 1. Introduction 1 2. Categories of fractions and localization functors 3 3. Calculus of fractions 9 4. Localization for triangulated categories 13 5. Localization via Brown representatbility 23 6. Well generated triangulated categories 31 7. Localization for well generated categories 38 8. Epilogue: Beyond well-generatedness 46 Appendix A. The abelianization of a triangulated category ...

PURPOSE To apply the low-rank plus sparse (L+S) matrix decomposition model to reconstruct undersampled dynamic MRI as a superposition of background and dynamic components in various problems of clinical interest. THEORY AND METHODS The L+S model is natural to represent dynamic MRI data. Incoherence between k-t space (acquisition) and the singular vectors of L and the sparse domain of S is req...

Purpose: To apply the low-rank plus sparse (L+S) matrix decomposition model to reconstruct undersampled dynamic MRI as a superposition of background and dynamic components in various problems of clinical interest. Theory and Methods: The L+S model is natural to represent dynamic MRI data. Incoherence between k-t space (acquisition) and the singular vectors of L and the sparse domain of S is req...

The e l e c t r i c a l p r o p e r t i e s , i n c l u d i n g t h e Joseph-son-effect response to microwave radiation, have been studied for extremely small, high-resistance micro-bridges of Pb-In a l l o y and unalloyed In, with dimensions ranging from 3001 t o 200011. The IcR product of I n and Pb-In microbridges decreases smoothly as t h e b r i d g e c r o s s s e c t i o n is reduced, ap...

1 ) I t i s the most t r a d i t i o n a l , i . e . luetanuith ema t i cs , as i t appears in l o g i c books, i s u s u a l l y s t a t e d i n terms o f s t r i n g s . 2) Axioms in terras of a b s t r a c t syn tax are s imply theorems o f the theory expressed in terms of s t r i n g s . Thus the two r e p r e s e n t a t i o n s look sub s t a n t i a l l y the same w i t h respec t t o " ...

Every N „-categorical distributive lattice of finite breadth has a finitely axiomatizablc theory. This result extends the analogous result for partially ordered sets of finite width. 0. Introduction. This note is mainly concerned with the following theorem. Theorem 1. Every S „-categorical distributive lattice of finite breadth has a finitely axiomatizable theory. For general references on dist...

We study the fidelity and entanglement entropy for ground states of quantum systems that have infinite-order phase transitions. In particular, we consider O(2) model with a spin-$S$ truncation, where there is an Gaussian (IOG) transition $S=1$ are Berezinskii-Kosterlitz-Thouless (BKT) transitions $S\ensuremath{\ge}2$. show height peak in susceptibility (${\ensuremath{\chi}}_{F}$) converges to f...

Extending work of [14, 16, 26], we show there is a model of set theory in which normal spaces are collectionwise Hausdorff if they are either first countable or locally compact, and yet there are no first countable L-spaces or compact S-spaces. The model is one of the form PFA(S)[S], where S is a coherent Souslin tree.