In this thesis, we report the study of two-dimensional spatial solitons observing in planar nematic liquid crystal cells with applied AC voltage. Two 2-D spatial solitons can be produced in one channel. They will attract or repulse each other, if we make the media with non-uniform reflection index. We study their interacting phenomena and expect the two solitons can make a spiral structure.

A common requirement for spatial analysis is the modeling of the second-order structure. While the assumption of isotropy is often made for this structure, it is not always appropriate. A conventional practice to check for isotropy is to informally assess plots of direction-specific sample second-order properties, e.g., sample variogram or sample second-order intensity function. While a useful diagnostic, these graphical techniques are difficult to assess and open to interpretation. Formal alternatives to graphical diagnostics are valuable, but have been applied to a limited class of models. In this dissertation, we propose a formal approach testing for isotropy that is both objective and appropriate for a wide class of models. This approach, which is based on the asymptotic joint normality of the sample second-order properties, can be used to compare these properties in multiple directions. An L_2 consistent subsampling estimator for the asymptotic covariance matrix of the sample second-order properties is derived and used to construct the test statistic with a limiting $\\chi^2$ distribution under the null hypothesis. Our testing approach is purely nonparametric and can be applied to both quantitative spatial processes and spatial point processes. For quantitative processes, the results apply to both regularly spaced and irregularly spaced data when the point locations are generated by a homogeneous point process. In addition, the shape of the random field can be quite irregular. Examples and simulations demonstrate the efficacy of the approach.

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Thesis (Ph.D.)--University of Nebraska-Lincoln, 2009. / Title from title screen (site viewed January 5, 2010). PDF text: 135 p. : ill. (some col.) ; 1.12 Mb. UMI publication number: AAT 3365709. Includes bibliographical references. Also available in microfilm and microfiche formats.

Thesis (M. Land Res. Sc.)--University of Queensland, 2002. / Includes bibliographical references.

Thesis (M.S.)--Florida State University, 2003. / Advisor: Dr. Maria L. Fernandez, Florida State University, College of Education, Dept. of Middle and Secondary Education. Title and description from dissertation home page (viewed Apr. 7, 2004). Includes bibliographical references.

Thesis (Ph.D.)--University of Delaware, 2009. / Principal faculty advisor: . Includes bibliographical references.

Thesis (Ph. D.)--University of Texas at Austin, 2000. / Vita. Includes bibliographical references (leaves 116-127). Available also in a digital version from Dissertation Abstracts.

Thesis (M. Soc. Sc.)--University of Hong Kong, 1987.

Although spatial navigation is predominantly guided by allothetic visual cues, idiothetic cues can obtain control when familiar visual cues are not available. In path integration, the current position and orientation are estimated and continuously updated using idiothetic cues, which are contributed by the vestibular system. Previous studies have revealed that vestibular lesioned rats were significantly impaired in path integration. Rats assessed in the current study received neonatal treatment with either VU0240551 (KCC2 blocker) or muscimol (GABAA receptors agonist) in the vestibular nuclei. Path integration ability appears to be intact in rats receiving either treatment. However, VU0240551-treated rats displayed impairments in their ability to resolve conflicting allothetic and idiothetic cues. Therefore, it is proposed that the ability to properly resolve a cue-conflict requires the normal polarity of GABA and/or glycine action in the vestibular nuclei during the neonatal period. / published_or_final_version / Physiology / Master / Master of Medical Sciences