A complete connection calculus with rigid E-unification

2005 ◽  
pp. 152-166 ◽  
Author(s):  
Uwe Petermann
Keyword(s):  
Complete Connection

scholarly journals Asynchronous distributed state estimation for continuous-time stochastic processes

2013 ◽  
Vol 23 (2) ◽  
pp. 327-339 ◽  
Author(s):  
Zdzisław Kowalczuk ◽  
Mariusz Domżalski
Keyword(s):  
State Estimation ◽  
Continuous Time ◽  
Distributed Estimation ◽  
Distributed State Estimation ◽  
Connection Graph ◽  
Single Sensor ◽  
Estimation System ◽  
Local Results ◽  
Continuous Time Stochastic Process ◽  
Complete Connection

The problem of state estimation of a continuous-time stochastic process using an Asynchronous Distributed multi-sensor Estimation (ADE) system is considered. The state of a process of interest is estimated by a group of local estimators constituting the proposed ADE system. Each estimator is based, e.g., on a Kalman filter and performs single sensor filtration and fusion of its local results with the results from other/remote processors to compute possibly the best state estimates. In performing data fusion, however, two important issues need to be addressed namely, the problem of asynchronism of local processors and the issue of unknown correlation between asynchronous data in local processors. Both the problems, along with their solutions, are investigated in this paper. Possible applications and effectiveness of the proposed ADE approach are illustrated by simulated experiments, including a non-complete connection graph of such a distributed estimation system.

scholarly journals Complex analysis between CV modes and OAM modes in fiber systems

Nanophotonics ◽  
2018 ◽  
Vol 8 (2) ◽  
pp. 271-285 ◽  
Author(s):  
Baiwei Mao ◽  
Yange Liu ◽  
Hongwei Zhang ◽  
Kang Yang ◽  
Ya Han ◽  
...  
Keyword(s):  
Angular Momentum ◽  
Phase Difference ◽  
Complex Analysis ◽  
Complex Space ◽  
Space Model ◽  
New States ◽  
Transformation Relation ◽  
Complete Transformation ◽  
Complete Connection ◽  
Equal Amplitude

AbstractAs two groups of bases in fibers, cylindrical vector (CV) modes and the orbital angular momentum (OAM) modes can be transformed into each other. Several transformation relations have been studied in previous works, such as ${\hat \sigma ^ + }OA{M_{ + l}} = HE_{l + 1,m}^{even} + iHE_{l + 1,m}^{odd}.$ However, these relations are discussed in the limitation of equal amplitude, limited phase difference $\left( {{{k\pi } \over 2},{\rm{ }}k \in Z} \right)$ and finite (generally two) mode bases. Complete connection between the CV and OAM modes has not been found. In this paper, a four-dimensional complex space model is constructed to describe arbitrary CV and OAM modes. The reliability of the model is verified by previously reported results and our experiment results. The complete transformation relation between the CV modes and OAM modes is well described in the model. Furthermore, two common kinds of relations have been researched, that is, a single arbitrary polarized OAM mode and two arbitrary orthogonal polarized OAM modes and their corresponding CV modes. These two kinds of states include most of previously reported states, and some new states have not been reported.

scholarly journals V.—Some Account of a Visitation of the Royal Chapel of St. George at Windsor, in 1552

Archaeologia ◽  
1869 ◽  
Vol 42 (1) ◽  
pp. 77-98
Author(s):  
George Fyler Townsend
Keyword(s):  
Modern Times ◽  
The Reformation ◽  
Ultimate Fate ◽  
Complete Connection

It has often been the occasion of remark that out of the enormous mass of jewels, ornaments, and substantial church plate accumulated in almost illimitable profusion in the ancient religious houses of our land so few specimens have descended to modern times. This paper will deal with this subject, and will show the manner of the disappearance of these treasures. It will give a series of documents (hitherto inedited, but unique in their complete connection and fulness) relating to a Visitation conducted by the King's Commissioners in the Chapel of St. George, Windsor, and illustrating these three points: (a) the wealth of these religious foundations; (b) the manner in which that wealth (in respect to the valuable moveables) was dealt with by its proprietors during the progress of the Reformation; and (c) the ultimate fate of the jewels, plate, ornaments, and vessels of gold and silver. The various documents are somewhat lengthy, and contain some repetitions. It has, however, been deemed expedient to give them as they appear, for two reasons : first, as providing an example of the exact mode of conducting one of these ancient Visitations; and next, as exhibiting, in their curious variety of expression, the diversity of sentiment and feelings prevalent in those days.

scholarly journals A general broadcasting scheme for recursive networks with complete connection

2001 ◽  
Vol 27 (9) ◽  
pp. 1273-1278 ◽  
Author(s):  
Gen-Huey Chen ◽  
Shien-Ching Hwang ◽  
Hui-Ling Huang ◽  
Ming-Yang Su ◽  
Dyi-Rong Duh
Keyword(s):  
Complete Connection
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