查询词典 infinite set

With the idea and the technique of the newly constructed basitheoryology ~ [1] , this article discusses two different concepts of infinite set existing in present set theory: potential infinity and actual infinity.

从新构建的基础理论学的角度，以全新的基础理论学的方法[1]，讨论同时存在于现有集合论中两种性质上截然不同的"无穷集合"概念：潜无穷式的与实无穷式的无穷集合。

And, like natural numbers , integers is a countable infinite set.

和自然数一样，整数也是一个可数的无限集合。

And, like natural numbers , integers are a countable infinite set.

和自然数一样，整数也是一个可数的无限集合。

Speakers use a finite set of rules to produce and understand an infinite set of sentences.

说话者可以运用一组数量有限的规则来表达与理解数量无限的句子。

But the image I'm pushing on is this: Can we prove that a finite set of functions generates this infinite set of possibilities?

而我要促进的想象是：我们能证明一组有限的功能会产生一组无尽的可能性吗？

Paul Erds once posed the following problem about real line R: is it true that, for every infinite set X, there is a closed set E with positive lebesgue measure such that E doesn't contain any subset similar to X (I.e., there is no subset of E, which is a linear homeomorphic image of X). In 1984, K. J. Falconer proved the following: for a decreasing sequence of positive numbers {xn} such that \%lim\%xn=0 and \%lim\%(xn+1)/=1, Erds problem has a partial positive answer.

叶盛 Paul Erds曾提出如下关于实直线R的问题：是否对R的每一个无限子集X，都存在一个具有正测度的闭子集E，使得E的任何子集都不相似于X(E的任何子集都不与X线性同胚)。1984年，Falconer证明了如下结论：对于一个满足limxn=0和lim(xn+1)/=1的单调递减的正实数列{x n}，Erds问题有一个部分肯定的解答。

It will also be clear that if we take the domain to be an infinite set , then the result of the query will also be infinite.

如果我们采用域为无限集合，则查询的结果也会是无限的，这是很明显的。

One of the wonders about language and language use is that with a finite set of rules speakers can produce and understand an infinite set of sentences.

语言和语言使用的奇妙处之一在于，说话者可以运用一组数量有限的规则来表达和理解数量无限的句子。

One of the wonders about language and language use is that with a finite set of rules speakers can produce and understand an infinite set if sentences.

语言与语言使用的奇妙处之一在于，说话者可以运用一组数量有限的规则来表达和理解数量无限的句子。

People tend to reduce an infinite set of choices down to a small, finite set of choices. Even when you don't do the exact same thing each time, you will tend to choose your actions from a small, repetitive set of options.

人们倾向于将无限的决策集合降低到最少的有限决策集合，甚至当你每次做的事并不完全相同时，也常常会从一个重复的较小选项集合中选择自己的行为。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。