Drinfeld in 1974, in his seminal paper [10], revolutionized the contribution to arithmetic of the area of global function fields. He introduced a function field analog of elliptic curves over number fields. These analogs are now called Drinfeld modules. For him and for many subsequent developments in the theory of automorphic forms over function fields, their main use was in the exploration of ...

We introduce a two-parameter family of diffusion processes (B r,s(t))t≥0, r, s > 0, on the general linear group GLN that are Brownian motions with respect to certain natural metrics on the group. At the same time, we introduce a two-parameter family of free Itô processes (br,s(t))t≥0 in a faithful, tracial W ∗-probability space, and we prove that the full process (B r,s(t))t≥0 converges to (br,...

1.1. The Argument. In both Sn and GLn(Fq), we send letters (respectively, basis elements) to other letters (basis elements). In GLn we can take linear combinations, which we can’t do in Sn; but this is really the only difference. GLn, loosely speaking, is an obese, redundant version of the svelte Sn. The goal of this paper is to make this correspondence precise, to show that, under this corresp...

To be able to effectively intercept and control a soccer ball travelling at high speed, it is useful to be able to accurately track the position of the ball as it approaches the robot. In this paper we present a method that can calculate the position in two dimensions at thousands of frames per second using a pair of inexpensive tri-linear CCDs. Each CCD gathers RGB information, which is then c...

Fuzzy distance is applied on data analysis, classification, and product positioning analysis widely. In this paper, We introduce a fuzzy distance by using graded mean integration representation of generalized fuzzy number and the span of fuzzy number, We also discuss the distance of the linguistic data of “greater or less than x” and “about x”. It is reasonable to say “the fuzzy distance of abo...

GPS ambiguity resolution is the process of solving the unknown cycle ambiguities of the carrier phase data as integers. It is the key to fast and high precision relative GPS positioning. Since unsuccessful ambiguity resolution, when passed unnoticed, will often lead to unacceptable errors in the positioning results, very high success rates are required for ambiguity resolution to be reliable. I...

Hashing has witnessed an increase in popularity over the past few years due to the promise of compact encoding and fast query time. In order to be effective hashing methods must maximally preserve the similarity between the data points in the underlying binary representation. The current best performing hashing techniques have utilised supervision. In this paper we propose a two-step iterative ...

Robotica / Volume 24 / Issue 04 / July 2006, pp 429 431 DOI: 10.1017/S0263574705002420, Published online: 21 February 2006 Link to this article: http://journals.cambridge.org/abstract_S0263574705002420 How to cite this article: De Xu, Min Tan, Zemin Jiang and Huosheng Hu (2006). A shape constraint based visual positioning method for a humanoid robot. Robotica, 24, pp 429-431 doi:10.1017/S026357...