The purpose of this study was to investigate the validity of the Breskin Rigidity Test (BRT), a symbolic, perceptually based instrument founded on Gestalt principles, for distinguishing between "more rigid" and "less rigid" persons. The study was designed to test the following hypotheses:1. The Breskin Rigidity Test (BRT) will be found to bea valid instrument for measuring personality rigidity when first administered.2. The Breskin Rigidity Test (BRT) will be found to be a valid instrument for measuring change in personality rigidity. If, after the lapse of a period of time, changes in personality rigidity are indicated by the readministration of the criterion instrument, like changes will also be indicated by the readministration of the BRT.

Thesis (B.A. Hons.) -- University of Adelaide, Department of Psychology, 1976.

published_or_final_version / Psychology / Doctoral / Doctor of Philosophy

This investigation was designed to add to and clarify, somewhat, the results of previous studies concerning the relationship between rigidity and ethnocentrism. A manifest rigidity scale, based on theory, was utilized to clarify existing confusion over what constitutes rigidity.

A d-dimensional (bar-and-joint) framework is a pair (G; p) where G = (V;E) is a graph and p : V > Rd is a function which is called the realisation of the framework (G; p). A motion of a framework (G; p) is a continuous function P : [0; 1] x V > Rd which preserves the edge lengths for all t 2 [0; 1]. A motion is rigid if it also preserves the distances between non-adjacent pairs of vertices of G. A framework is rigid if all of its motions are rigid motions. An in nitesimal motion of a d-dimensional framework (G; p) is a function q : V > Rd such that [p(u) - p(v)] ~ [q(u) - q(v)] = 0 for all uv 2 E. An in nitesimal motion of the framework (G; p) is rigid if we have [p(u) - p(v)] . [q(u) - q(v)] = 0 also for non-adjacent pairs of vertices. A framework (G; p) is in nitesimally rigid if all of its in nitesimal motions are rigid in nitesimal motions. A d-dimensional framework (G; p) is generic if the coordinates of the positions of vertices assigned by p are algebraically independent. For generic frameworks rigidity and in nitesimal rigidity are equivalent. We construct a matrix of size |E| xd|V| for a given d-dimensional framework (G; p) as follows. The rows are indexed by the edges of G and the set of d consecutive columns corresponds to a vertex of G. The entries of a row indexed by uv 2 E contain the d coordinates of p(u) - p(v) and p(v) - p(u) in the d consecutive columns corresponding to u and v, respectively, and the remaining entries are all zeros. This matrix is the rigidity matrix of the framework (G; p) and denoted by R(G; p). Translations and rotations of a given framework (G; p) give rise to a subspace of dimension d+1 2 of the null space of R(G; p) when p(v) affinely spans Rd. Therefore we have rankR(G; p) djV j�� d+1 2 if p(v) affinely spans Rd, and the framework is in infinitesimally rigid if equality holds. We construct a matroid corresponding to the framework (G; p) from the rigidity matrix R(G; p) in which F E is independent if and only if the rows of R(G; p) indexed by F are linearly independent. This matroid is called the rigidity matroid of the framework (G; p). It is clear that any two generic realisations of G give rise to the same rigidity matroid. In this thesis we will investigate rigidity properties of some families of frameworks. We rst investigate rigidity of linearly constrained frameworks i.e., 3- dimensional bar-and-joint frameworks for which each vertex has an assigned plane to move on. Next we characterise rigidity of 2-dimensional bar-and-joint frameworks (G; p) for which three distinct vertices u; v;w 2 V (G) are mapped to the same point, that is p(u) = p(v) = p(w), and this is the only algebraic dependency of p. Then we characterise rigidity of a family of non-generic body-bar frameworks in 3-dimensions. Finally, we give an upper bound on the rank function of a d-dimensional bar-and-joint framework for 1 < d < 11.

sMany theories of structure from motion divide the process into twosparts which are solved using different assumptions. Smoothness of thesvelocity field is often assumed to solve the motion correspondencesproblem, and then rigidity is used to recover the 3D structure. Wesprove results showing that, in a statistical sense, smoothness of thesvelocity field follows from rigidity of the motion.

In this thesis, two-dimensional floating structure consists of single rectangular impermeable pontoon and single cable is studied.The purpose of this study is to obtain the motion analysis of incident waves acting on a floating with cable-restrained. All boundary conditions are linearlized in the problem which is separated into a scattering problem and radiation problem with unit motion amplitude. The method of separation of variable is used to solve for velocity potentials. Divide two kinds of discussions in cable-restrained¡G1¡BWith sag effective and flexural rigidity. 2¡BNO sag effective and no flexural rigidity. The boundary value problem with nonhomogeneous boundary condition beneath the structure is solved by using a solution procedure proposed by Lee(1995). By combining the scattering solution, radiation solutions of three degrees of freedom, and equations of motion of the floating structure, an analytic solution for the problem is developed.

Thesis--Ph. D., University of Hong Kong.

No description available.

Thesis--University of Texas. / Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.