1a establish the variations for sizes and positions

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Unformatted text preview: f the Standard where most of the other models are having trouble are: form tolerances, floating zones, Rule #1 tradeoff, bonus tolerance arising from material condition, and/or datum precedence. Our model [Davidson, et al., 2002, Mujezinović, et al., 2004, and Davidson and Shah, 2002] of variations is one of several vector space models that map all possible variations into a region in parametric space. Of the vector space models [Whitney, et al., 1994], [Giordano, et al., 1999, 2001] and [Roy & Li, 1999] just one [Giordano, et al., 1999, 2001] models the variations of an axis. In these papers the authors create parametric point-spaces from four of the six Plücker coordinates of a line, one form of a torsor. Since only four of these six coordinates are independent [Davidson & Hunt, 2004], these spaces are limited to dimension 4. Our own model for lines [Davidson and Shah, 2002, Bhide, 2002, and Bhide, et al., 2003] is based on areal coordinates and has no dimensional limit. Further, by making appropriate choices when building the model o...
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