论文标题
非传统间隔及其使用。哪些真的有意义？
Non-traditional intervals and their use. Which ones really make sense?
论文作者
论文摘要
本文讨论了为什么间隔是间隔分析的主要对象的问题，其形式正是我们习惯性地使用的形式，而不是其他形式。特别是，我们研究了为什么传统间隔是关闭的原因，即\，e。包含它们的终点，以及空间隔的问题。工作中考虑的第二个问题是扩展其他一些对象的传统间隔是多么的权宜。我们表明，从许多不同的角度来看，不当（“反向”）间隔（“反向”）间隔（kaucher完整间隔算术）非常有用。
The paper discusses the question of why intervals, which are the main object of Interval Analysis, have exactly the form that we know well and habitually use, and not some other. In particular, we investigate why traditional intervals are closed, i.\,e. contain their endpoints, and also what is wrong with an empty interval. The second question considered in the work is how expedient it is to expand the set of traditional intervals by some other objects. We show that improper ("reversed") intervals and the arithmetic of such intervals (Kaucher complete interval arithmetic) are very useful from many different points of view.
