Interval Constraint Plotting for Interactive Visual Exploration of Implicitly Defined Relations

Conventional plotting programs adopt techniques such as adaptive sampling to approximate, but not to guarantee, correctness and completeness in graphing functions. Moreover, implicitly defined mathematical relations can impose an even greater challenge as they either cannot be plotted directly, or otherwise are likely to be misrepresented. In this paper, we address these problems by investigating interval constraint plotting as an alternative approach that plots a hull of the specified curve. We present some empirical evidence that this hull property can be achieved by a algorithm. Practical experience shows that the hull obtained is the narrowest possible whenever the precision of the underlying floating-point arithmetic is adequate. We describe IASolver, a Java applet (http://www.cs.brandeis.edu/~tim) that serves as testbed for this idea.     

由桔皮回收醇类的研究

文章谈及用桔皮制造醇类和饲料的方法、条件及有关事宜,并做了工业化的初步设想,着重记述了实验方案的优选处理方法。