Bond between Daniel Cornell of the County of Oxford to William Dickson of Niagara and Thomas Clark of Stamford

Bond (1 page, printed) between Daniel Cornell of the County of Oxford to William Dickson of Niagara and Thomas Clark of Stamford (regarding the Last Will and Testament of Robert Hamilton) for payment of 103 pounds, 11 shillings and 1 penny to be made to Dickson and Clark, July 12, 1822.

Bond between John Hammell of the Township of Dumphries, Halton County to William Dickson of Niagara

Bond (1 page, printed) between John Hammell of the Township of Dumphries, Halton County to William Dickson of Niagara for 117 pounds, 10 shillings and 10 pence, Sept. 21, 1824.

Agreement (1 page, handwritten note) stating that William Barker of Oxford paid for the broken lots no. 21 and 22 and in the 3rd concession in the County of Oxford

Agreement (1 page, handwritten note) stating that William Barker of Oxford paid for the broken lots no. 21 and 22 and in the 3rd concession in the County of Oxford of Reverend Harris’ land, Nov. 7, 1831.

Agreement with sworn affidavits that John Adolphus Nelles would perform the office of poll clerk at an election for the first riding of the County of Lincoln

Agreement (1 page, handwritten note) with sworn affidavits that John Adolphus Nelles would perform the office of poll clerk at an election for the first riding of the County of Lincoln and Erastus Derby and Smith Jackson would perform the office of Constables at an election for the first riding of the County of Lincoln, June 27, 1836.

Province of Upper Canada Grant (vellum) to Thomas Fraser of the Township of Edwardsburgh granted 1 acre in Lot no.9 in the County of Stormont

Province of Upper Canada Grant (vellum) to Thomas Fraser of the Township of Edwardsburgh granted 1 acre in Lot no.9 in the County of Stormont. Signed by William Jarvis, Sir Isaac Brock, Prideaux Selby and John Macdonell. There are some holes in the document and there are small pieces missing on the right hand side. William Jarvis was the Provincial Secretary of the Lt. Governor of Upper Canada; Sir Isaac Brock. Jarvis was an officer in the Queen’s Rangers. He also served as Provincial Secretary of Upper Canada. A partial crown seal is attached, Mar. 26, 1812.

Certificate awarded to Lieutenant Colonel, the Honourable James George Currie of the 19th Lincoln Battalion of Canada from the ladies of the County of Lincoln

Certificate measuring 36 cm. x 47 cm. awarded to Lieutenant Colonel, the Honourable James George Currie of the 19th Lincoln Battalion of Canada from the ladies of the County of Lincoln to honour surviving veterans of the War of 1812. The calligraphy on the award was done by J. Matthews of St. Catharines who was listed in the 1877 St. Catharines Directory as an illuminator (medieval writing) and accountant. The award is signed by Elizabeth Carlisle on behalf of the ladies, Oct. 13, 1876.

Outlines of history ; illustrated by numerous geographical and historical notes and maps : embracing

UANL

Evaluating perceptual maps of asymmetries for gait symmetry quantification and pathology detection

Le mouvement de la marche est un processus essentiel de l'activité humaine et aussi le résultat de nombreuses interactions collaboratives entre les systèmes neurologiques, articulaires et musculo-squelettiques fonctionnant ensemble efficacement. Ceci explique pourquoi une analyse de la marche est aujourd'hui de plus en plus utilisée pour le diagnostic (et aussi la prévention) de différents types de maladies (neurologiques, musculaires, orthopédique, etc.). Ce rapport présente une nouvelle méthode pour visualiser rapidement les différentes parties du corps humain liées à une possible asymétrie (temporellement invariante par translation) existant dans la démarche d'un patient pour une possible utilisation clinique quotidienne. L'objectif est de fournir une méthode à la fois facile et peu dispendieuse permettant la mesure et l'affichage visuel, d'une manière intuitive et perceptive, des différentes parties asymétriques d'une démarche. La méthode proposée repose sur l'utilisation d'un capteur de profondeur peu dispendieux (la Kinect) qui est très bien adaptée pour un diagnostique rapide effectué dans de petites salles médicales car ce capteur est d'une part facile à installer et ne nécessitant aucun marqueur. L'algorithme que nous allons présenter est basé sur le fait que la marche saine possède des propriétés de symétrie (relativement à une invariance temporelle) dans le plan coronal.

Investigations on the Dynamics of Combination Maps and the Analysis of Bifurcation in a Discontinuous Logistic Map

This thesis is a study of discrete nonlinear systems represented by one dimensional mappings.As one dimensional interative maps represent Poincarre sections of higher dimensional flows,they offer a convenient means to understand the dynamical evolution of many physical systems.It highlighting the basic ideas of deterministic chaos.Qualitative and quantitative measures for the detection and characterization of chaos in nonlinear systems are discussed.Some simple mathematical models exhibiting chaos are presented.The bifurcation scenario and the possible routes to chaos are explained.It present the results of the numerical computational of the Lyapunov exponents (λ) of one dimensional maps.This thesis focuses on the results obtained by our investigations on combinations maps,scaling behaviour of the Lyapunov characteristic exponents of one dimensional maps and the nature of bifurcations in a discontinous logistic map.It gives a review of the major routes to chaos in dissipative systems,namely, Period-doubling ,Intermittency and Crises.This study gives a theoretical understanding of the route to chaos in discontinous systems.A detailed analysis of the dynamics of a discontinous logistic map is carried out, both analytically and numerically ,to understand the route it follows to chaos.The present analysis deals only with the case of the discontinuity parameter applied to the right half of the interval of mapping.A detailed analysis for the n –furcations of various periodicities can be made and a more general theory for the map with discontinuities applied at different positions can be on a similar footing

Scaling relations in the Lyapunov exponents of one dimensional maps

We establish numerically the validity of Huberman-Rudnick scaling relation for Lyapunov exponents during the period doubling route to chaos in one dimensional maps. We extend our studies to the context of a combination map. where the scaling index is found to be different.

Analytical Studies on Diffusion and lntermittency in Chaotic Maps

The study of simple chaotic maps for non-equilibrium processes in statistical physics has been one of the central themes in the theory of chaotic dynamical systems. Recently, many works have been carried out on deterministic diffusion in spatially extended one-dimensional maps This can be related to real physical systems such as Josephson junctions in the presence of microwave radiation and parametrically driven oscillators. Transport due to chaos is an important problem in Hamiltonian dynamics also. A recent approach is to evaluate the exact diffusion coefficient in terms of the periodic orbits of the system in the form of cycle expansions. But the fact is that the chaotic motion in such spatially extended maps has two complementary aspects- - diffusion and interrnittency. These are related to the time evolution of the probability density function which is approximately Gaussian by central limit theorem. It is noticed that the characteristic function method introduced by Fujisaka and his co-workers is a very powerful tool for analysing both these aspects of chaotic motion. The theory based on characteristic function actually provides a thermodynamic formalism for chaotic systems It can be applied to other types of chaos-induced diffusion also, such as the one arising in statistics of trajectory separation. It was noted that there is a close connection between cycle expansion technique and characteristic function method. It was found that this connection can be exploited to enhance the applicability of the cycle expansion technique. In this way, we found that cycle expansion can be used to analyse the probability density function in chaotic maps. In our research studies we have successfully applied the characteristic function method and cycle expansion technique for analysing some chaotic maps. We introduced in this connection, two classes of chaotic maps with variable shape by generalizing two types of maps well known in literature.

Weighted Logratio Biplots, Correspondence Analysis and Spectral Maps

Starting with logratio biplots for compositional data, which are based on the principle of subcompositional coherence, and then adding weights, as in correspondence analysis, we rediscover Lewi's spectral map and many connections to analyses of two-way tables of non-negative data. Thanks to the weighting, the method also achieves the property of distributional equivalence