On Fuzzy Matroids

The aim of this paper is to discuss properties of fuzzy regular-flats, fuzzy C- flats, fuzzy alternative-sets and fuzzy i-flats. Moreover, we characterize some peculiar fuzzy matroids via these notions. Finally, we provide a decomposition of fuzzy strong maps

Determination of the absolute contours of optical flats

Emersons procedure is used to determine true absolute contours of optical flats. Absolute contours of standard flats are determined and a comparison is then made between standard and unknown flats. Contour differences are determined by deviation of Fizeau fringe

Four Flats Correspondence

Four Flats pre-made card for spreading info about the Four Flats concert in Portland. 2 pages, black and white.https://digitalcommons.georgefox.edu/fourflats_papers/1015/thumbnail.jp

Curved flats in symmetric spaces

In this paper we study maps (curved flats) into symmetric spaces which are tangent at each point to a flat of the symmetric space. Important examples of such maps arise from isometric immersions of space forms into space forms via their Gauss maps. Further examples are found in conformal geometry, e.g. the curved flats obtained from isothermic surfaces and conformally flat 3-folds in the 4-sphere. Curved flats admit a 1-parameter family of deformations (spectral parameter) which enables us to make contact to integrable system theory. In fact, we give a recipe to construct curved flats (and thus the above mentioned geometric objects) from a hierarchy of finite dimensional algebraically completely integrable flows.Comment: 9 pages, latex2e, no figures, also available at http://www_sfb288.math.tu-berlin.de/preprints.htm

Four Flats Business

Budgeting notes for the Four Flats.https://digitalcommons.georgefox.edu/fourflats_papers/1096/thumbnail.jp

Four Flats Memorabilia

Member card for Manila Executives Athletic Club Inc issued to Ron Crecelius.https://digitalcommons.georgefox.edu/fourflats_papers/1060/thumbnail.jp

Four Flats Correspondence

Suggested itinerary for the Four Flats in 1959.https://digitalcommons.georgefox.edu/fourflats_papers/1074/thumbnail.jp