The present study examined whether a relationship exists between level of rigidity and prejudicial attitudes and whether prejudiced attitudes could be modified as a function of exposure to a competent black model. It was predicted that individuals with a high level of rigidity would display more racial prejudice than low-rigid individuals and that individuals with a low level of rigidity would demonstrate less prejudice than high-rigid individuals after exposure to a competent model. After exposure to a competent model, a significant main effect for rigidity was found which indicated that low-rigid individuals became less prejudiced than high-rigid individuals,

In this paper¡Athe cable structures considering sag effect and flexural rigidity are used to the series of dynamic analysis.It dedatees on vibration of the cables by the harmonic force and win¡Ðrain induced vibration. Using the finite element method to analyze the effect of the sge and the effect of the sag and the flexural rigidity¡Aincluding frequencies of the cable and displacement of every nodes at arbitrarily time.

There is no abstract available for this dissertation.

Thesis (M.S.)--University of Michigan, 1968.

Thesis (M.S.)--University of Michigan, 1968.

published_or_final_version / Sports Science / Master / Master of Science in Sports Science

A two-dimensional direction-length framework (G; p) consists of a multigraph G = (V ;D;L) whose edge set is formed of "direction" edges D and "length" edges L, and a realisation p of this graph in the plane. The edges of the framework represent geometric constraints: length edges x the distance between their endvertices, whereas direction edges specify the gradient of the line through both endvertices. In this thesis, we consider two problems for direction-length frameworks. Firstly, given a framework (G; p), is it possible to nd a di erent realisation of G which satis es the same direction and length constraints but cannot be obtained by translating (G; p) in the plane, and/or rotating (G; p) by 180 ? If no other such realisation exists, we say (G; p) is globally rigid. Our main result on this topic is a characterisation of the direction-length graphs G which are globally rigid for all "generic" realisations p (where p is generic if it is algebraically independent over Q). Secondly, we consider direction-length frameworks (G; p) which are symmetric in the plane, and ask whether we can move the framework whilst preserving both the edge constraints and the symmetry of the framework. If the only possible motions of the framework are translations, we say the framework is symmetry-forced rigid. Our main result here is for frameworks with single mirror symmetry: we characterise symmetry-forced in nitesimal rigidity for such frameworks which are as generic as possible. We also obtain partial results for frameworks with rotational or dihedral symmetry.

We investigate two ways of solving the correspondence problem for motion using the assumptions of minimal mapping and rigidity. Massively parallel analog networks are designed to implement these theories. Their effectiveness is demonstrated with mathematical proofs and computer simulations. We discuss relevant psychophysical experiments.

We study the problem of recovering the structure from motion of figures which are allowed to perform a controlled non-rigid motion. We use Regge Calculus to approximate a general surface by a net of triangles. The non- rigid flexing motion we deal with corresponds to keeping the triangles rigid and allowing bending only at the joins between triangles. We show that depth information can be obtained by using a modified version of the Incremental Rigidity Scheme devised by Ullman (1984). We modify this scheme to allow for flexing motion and call our version the Incremental Semirigidity Scheme.

The thesis consists of two main results. The first main result is a proof that C^1 rigidity holds for circle maps with a break point for almost all rotation numbers. The second main result is a proof that C^1 robust rigidity holds for circle maps in the fractional linear transformation (FLT) pair family. That is, for this family, C^1 rigidity holds for all irrational rotation numbers. The approach taken here of proving a more general theorem that C^1 rigidity holds for circle maps with a break point satisfying a `derivatives close condition', allows us to obtain both of our main results as corollaries of this more general theorem.