Freeform Surface Characterization and Instrument Alignment for Freeform Space Applications

CMM (Coordinate Measuring Machine) metrology provides simple, 3D (three dimensional) surface data used for prescription retrieval, figure error, and alignment with high accuracy without null-correctors. Two freeform mirrors for a compact telescope were successfully characterized and aligned using the CMM

On Prime Powers and Symbolic Prime Powers.

We study the conditions under which the power of a prime ideal is equal to the corresponding symbolic prime power. We begin by extending a result of Villamayor(h). We consider a smooth k-algebra S(S\sp\prime) which is the localization of a finite k-algebra where k is a field of characteristic zero. For a prime ideal P (P\sp\prime) we show that if $S\over P$ $\cong$ S\sp\prime\over P\sp\prime then P\sp{n} = P\sp{(n)} if and only if P\sp\prime\sp{n} = P\sp\prime\sp{(n)}, for n $\geq$ 1. In the proof we use a generalization of the notion of a truncated cotangent complex introduced by Illusie. We then continue on by using the notions developed in the course of the proof to construct a new class of cohomological objects {\cal U}\sp{n{,}i} which play an analogous role for the higher order differentials to the role played by the cotangent complex of Lichtenbaum and Schlessinger in the case of the ordinary Kahler differentials

All in the family

There is no abstract available for this creative project.Thesis (M.A.E.

Examining the intersections of age, race, and mental health through linguistic analysis

The purpose of the current study was to examine patterns in the language used to describe individuals at different stages of the lifespan, and to determine through a framework of intersectionality, whether language use directed toward others differs in relation to perceived identity and social location. Researchers also sought to examine the ways in which study participants’ own intersecting identities influence their use of language. A pilot study was conducted to obtain descriptive words associated with general and specific concepts of being elderly, mental illness, and race/ethnicity. Custom dictionaries were created and used for linguistic analysis of archival data from a previous study examining differences in language use to describe images of women at different life stages (Rook-Phenis & Scott, 2019). A theme analysis of the previous archival data was also undertaken. Results demonstrated differences in themes and stereotypical language between descriptions of the younger versus older woman based on age and other perceived intersectional identities. The analysis also found that participants’ own unique intersecting identities influenced their use of stereotypical language

Harrow

801,546The Oklahoma Inventors is a collection of United States patents issued to individuals residing in Indian and Oklahoma Territory from 1880-1907

All in the family

There is no abstract available for this creative project.Thesis (M.A.E.