单词 | 无穷集 |
释义 | 〔infinite〕Of or relating to a set capable of being put into one-to-one correspondence with a proper subset of itself.无穷集的:能与自身的一个子集发生一一对应的集的,与其有关的〔infinite〕Infinite is sometimes grouped with absolute terms such asunique, absolute, and omnipotent, since in its strict mathematical sense it allows no degree modification or comparison;one quantity cannot be more infinite than another (though technically one infinite set can be larger than another).Unlike other absolute terms, however,infinite also does not permit modification by adverbs such as nearly and almost; mathematically, infinity is not approached by degrees.In nontechnical usage, of course,infinite is often used metaphorically to refer simply to an unimaginably large degree or amount, and here the comparison of the word is unexceptionable: Infinite 有时被一些表示绝对意义的词修饰, 如unique , absolute 和 omnipotent , 由于在其严格的数学意义上它不允许表示程度的修饰或比较,一个数不可能比另一个数“更加无穷大”(虽然以技术上讲一个无穷集可以比另一个集更大)。但是,与其它表示绝对意义的词不同,infinite 也不能用 nearly 和 almost 这一类副词来修饰; 以数学上讲,无穷大是不能逐步接近的。当然,在非技术性的用法中,infinite 常常隐喻地仅指明一个难以想象的大程度或数量, 在这种用法下,仍然不能使用比较: |
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