What if there are infinitely many things?
如果有无限多的东西呢？
Any plane actually has infinitely many normal vectors.
每一个平面都有无数条法向量。
Now suppose infinitely many new guests arrive, sweaty and short-tempered.
现在我们假设有无穷多的新客人到了，全是脾气暴躁难伺候的主。
Or, if a matrix is not invertible, then you have infinitely many solutions.
或者矩阵不可逆时，有无穷解。
The integers divide the number line into infinitely many half-open intervals.
整数把数轴分成无穷多个半开区间。
Otherwise, well, AX equals B has either no solution, or infinitely many solutions. Yes?
否则，此线性方程组无解，或者无穷解？
This doubling trick opens up all the odd-numbered rooms - infinitely many of them - for the new guests.
这种双倍叠加的策略把所有奇数号码的房间腾出来——无穷多的奇数号码的房间——留给新的客人。
How does one give a finite description of a language if it contains infinitely many possible strings?
如何给一个语言一个有限的描述，如果该语言包含了无限多可能的字串？
If there's infinitely many universes, then surely there are other copies of you and me having this conversation.
如果存在着无限多个的宇宙，那么肯定存在着你和我这次谈话另外的副本。
Squeezing infinitely many real Numbers into a finite number of bits requires an approximate representation.
挤压无限多的实数到有限数量的部分需要一个近似表示。
Under suitable hypotheses obtain the existence of infinitely many radial solutions and non-radial solutions.
在适当的假设下得到了该方程无穷多个径向与非径向解的存在性。
Although there are infinitely many integers, in most programs the result of integer computations can be stored in 32 bits.
虽然有无限多的整数，在大多数项目的结果可以存储在32位整数计算。
There can be infinitely many solutions for every project; the goal is to try making this project better than the last one.
每一个项目可能会有很多种设计手法，但是目标是尽量把现在这个项目做得比上一次要好。
Time is a constant, but it's also a variable. Hardworking people are infinitely many, and those who are lazy are infinitely less.
时间是个常数，但也是个变数。勤奋的人无穷多，懒惰的人无穷少。
By means of the variational approach, in a condition weaker than(AR) the existence of infinitely many solutions of fourth-order elliptic equation is discussed.
在比（AR）条件更弱的一类超线性条件之下，利用变分方法讨论了一类超线性四阶椭圆方程的无穷多解的存在性。
And then add all of these together and divide by the number of data points But, depending on how careful you are, actually, there are potentially infinitely many points to look at.
然后把所有测量值加起来，再除以数据点的数目，但这取决于你能有多仔细，原则上，有无限多个点要测量。
The problem involves non-odd symmetric critical nonlinearity. Existence of infinitely many solutions of this problem is obtained with improved Compactness- Concentration principle.
运用改进的集中列紧原理证明了在某些指数条件下非奇对称的临界非线性项仍能保证无穷多弱解的存在性。
The first thing you have to realize about proving Taylor's theorem is that there are infinitely many versions of Taylor's theorem: one for each possible expression of the remainder term.
要证明泰勒定理你必须意识到的第一件事就是泰勒定理有无限多版本即一对每个可能表达的余项。
There are infinitely many buses, and worse still, each one is loaded with an infinity of crabby people demanding that the hotel live up to its motto, “There’s always room at the Hilbert Hotel.”
大巴的数量无穷多，而且更严重的是，每辆大巴上载着无穷多的乘客，无不暴躁地要求旅馆兑现“希尔伯特永远有房可住”的诺言。
The main contents are as follows: in chapter 2, we proved that there exists infinitely many singular positive radial solutions which satisfy apriori estimates for quasilinear elliptic equations.
在第二章中我们证明了拟线性椭圆型方程存在无穷多个正奇异对称解，并且满足先验估计。
We have a relationship infinitely superior to those of many of our friends.
我们之间的关系远比我们许多朋友之间的关系好得多。
Here's a group of ancient people (ancient Indians) trying not only to comprehend the infinite but somehow thought it important to name so many divisions of infinitely large and small.
有很多古人(古印度人)不仅努力理解无限，还认为给无限大和无限小的不同分类定义很重要。
There are many things you can learn from books but there is a learning which is infinitely clear, quick and without any ignorance.
从书本上你能学到很多东西，但是有一种学习是无限清澈的，快速的，没有任何的愚昧无知。
As we've said many times in the past, graphics is almost infinitely parallelizable.
正如我们已经说过很多次在过去，图形几乎是无限并行。
The first is just way out of the realm of answerability , as there are too many aspects to possibly go into, and each of those components can be infinitely complex.
第一个问题已经超出了我能够解答的范围，因为通向游戏开发之路的途径实在太多，并且，所有的这些路都无限复杂。
The first is just way out of the realm of answerability , as there are too many aspects to possibly go into, and each of those components can be infinitely complex.
第一个问题已经超出了我能够解答的范围，因为通向游戏开发之路的途径实在太多，并且，所有的这些路都无限复杂。
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