Several Problems in Designing a Circular Loom.

designing a fast locking pll

a phase-locked loop (pll) based frequency synthesizer is an important circuit that is used in many applications, especially in communication systems such as ethernet receivers, disk drive read/write channels, digital mobile receivers, high-speed memory interfaces, system clock recovery and wireless communication system. other than requiring good signal purity such as low phase noise and low spu...

Several Problems in Operator Theory

We discuss some problems and conjectures in higher dimensional operator theory. These all have something to do with the basic problem of developing an effective Fredholm theory of d-contractions, and completing the index theorem that was partially established in Theorem B of [Arv02], following up on [Arv00]. My opinion is that good progress on any one of these problems will be a significant adv...

Representing reified relations in Loom

This paper discusses the semantics and usage of rei cation as applied to relations and tuples. The rei cation of a tuple is a proposition object possessing a case role for each domain attribute in the tuple. The rei cation of a set of llers of a role is an object sometimes referred to as a \roleset". In the course of de ning rei cation mechanisms for the Loom knowledge representation system, we...

Classes of Holomorphic Functions of Several Variables in Circular Domains.

where ax depends only on X and nothing else. Also, for r1, r2 < 1, fo' ff(re219) f(r2e2tri) x dO -* 0 as (ri, r2) --(1, 1), and there exists a measurable function F(O) on the boundary r = e2'i0 such that, for 0 < r < 1, fol If(re2i0) F(O)lx do -0 as r -* 1. The quantity M(r) = fOIif(re ) | do is monotonely increasing in r. Using this, it is not hard to verify that Theorem 1 gives rise to the fo...

Designing Filters for Circular Symmetry Detection . . . . . . . . . . . . . . . 33