In this paper, we give two explicit examples of unbounded linear maximal monotone operators. The first unbounded linear maximal monotone operator S on l is skew. We show its domain is a proper subset of the domain of its adjoint S∗, and −S∗ is not maximal monotone. This gives a negative answer to a recent question posed by Svaiter. The second unbounded linear maximal monotone operator is the in...

Let K be a finite tamely ramified extension of Qp and let L/K be a totally ramified (Z/pnZ)-extension. Let πL be a uniformizer for L, let σ be a generator for Gal(L/K), and let f(X) be an element of ØK [X] such that σ(πL) = f(πL). We show that the reduction of f(X) modulo the maximal ideal of ØK determines a certain subextension of L/K up to isomorphism. We use this result to study the field ex...

Clock skew variations adversely affect timing margins, limiting performance, reducing yield, and may also lead to functional faults. Non-tree clock distribution networks, such as meshes and crosslinks, are employed to reduce skew and also to mitigate skew variations. These networks, however, increase the dissipated power while consuming significant metal resources. Several methods have been pro...

In this paper we study the Kummer extensions of a power series field K = k((X1, ...,Xr)), where k is an algebraically closed field of arbitrary characteristic. 1 Terminology and notation Let k be an algebraically closed field, X1, ...,Xr indeterminates formally independent over k, and let K and Lm be the fields K = k ((X1, ...,Xr)) , Lm = k (( X 1/m 1 , ...,X 1/m r )) , where m is a non negativ...

In this paper, a resistive-reactive series of continuous inverse modes is proposed for extending bandwidth of the series of Inverse continuous mode (SICM). A broadband class inverse F power amplifier (PA), which operates across 2.5-4.1GHz (48.5% bandwidth), is designed by using bare GaN HEMT to prove this theory. Experiment results indicate that the PA mentioned above is able to output 9.1-18.4...

Power is a primary concern in modern circuits. Clock distribution networks, in particular, are an essential element of a synchronous digital circuit and a significant power consumer. Clock distribution networks are subject to clock skew due to process, voltage, and temperature (PVT) variations and load imbalances. A target skew between sequentially-adjacent registers can be obtained in a balanc...

A new method to derive algebraic formulae for tracing skew rays in radial gradient-index media is described. We obtained power series for the ray position and direction, optical path length and coordinates of the intersection point of the curved ray with the spherical end surface of the GRIN lens. All these formulae include the effects of terms up to the eighth power of the radius in the refrac...

We introduce a class of posets, which includes both ribbon posets (skew shapes) and $d$-complete such that their number linear extensions is given by determinant matrix whose entr...

Since the Lucas-Kanade algorithm was proposed in 1981, image alignment has become one of the most widely used techniques in computer vision. Applications range from optical flow, tracking and layered motion, to mosaic construction, medical image registration, and face coding. Numerous algorithms have been proposed and a wide variety of extensions have been made to the original formulation. We p...

This article summarizes the various ways one may use to construct the Skew Brownian motion, and shows their connections. Recent applications of this process in modelling and numerical simulation motivates this survey. This article ends with a brief account of related results, extensions and applications of the Skew Brownian motion. AMS 2000 subject classifications: Primary 60J60; secondary 60H1...