Something that looks at the problem numerically, and not theoretically.

要从某种数字的层面来解读，而不是理论。

It's very difficult，numerically，to win a prize if you want to.Even if you don't want to, it's very difficult numerically.

从数据来看，就算你很想得奖，得奖的机会微乎其微。同样就算你不想得奖，得奖的机会还是会微乎其微。

Hard as it may be for you to believe, most people don't sort their breakfast cereal numerically by fiber content.

也许你很难相信，大多数人不会把芥麦早餐用纤维量的顺序排列。

I now try to estimate it numerically.

我现在试着用数字来估计它。

And also for things like times and dates, I'm a bit numerically blind.

而且对于像时间日期这东西，我有点数字盲。

So, though the two ships are numerically identical, they are not qualitatively identical.

，管这两艘船在数量上是相同的，但它们在性质上并不相同。

They can even numerically assess the  odds of winning a territorial dispute.

他们甚至可以从数字上评估赢得领土争端的几率。

Statues seems to at least equal the Victorian one numerically.

雕像的数量似乎至少与维多利亚时代的数量相当。

But yet each community is numerically distinct, unique.

然而，每个社区在数量上都是独特的、独一无二的。

If 50,000 people go online and say something, that's still not a numerically significant number.

如果有5万人上网发表意见，这个数字在统计上仍然不具显著意义。

When you do this calculation purely numerically, its matrix vector multiplication.

当你用纯数值的方法计算时 它是矩阵向量的乘法。

The mountaineers waged spirited guerilla warfare against the numerically and technologically superior enemy.

登山者们与数量和技术上占优势的敌人展开了激烈的游击战。

And so you do it numerically.

于是你用数值方法来做。

So this tends to be done numerically.

所以这通常采用数值方法来完成。

But generally speaking, these are discrete questions that numerically or quantitatively tap our general theories of people.

但总的来说，这都是离散的问题，它们以数字或定量的方式触及我们对人的普遍理论。

In fact, let's see how vector edition looks numerically.

实际上 让我们看看矢量编辑在数值上是怎样的。

I have endeavoured to test this numerically by averages, and, as far as my imperfect results go, they confirm the view.

我已努力通过平均值在数值上对进行检验， 就我的不完美结果而言， 它们证实了这一观点。

But their true discovery in the field of music was that the musical intervals between the notes could be expressed numerically.

但他们在音乐领域的真正发现是, 音符之间的音乐间隔可以用数字表示。

Easier to think about rotations performing This matrix multiplication numerically is, once again, pretty similar to the two dimensional case.

更容易考虑旋转执行这个矩阵乘法的数值运算 再一次 和二维情况很相似。

You don't have to feel bad about doing it numerically, because you're like, oh, how do I take the integral of this?

你不用为数值地做这件事而感到不好， 为你可能会想，哦， 我怎么对这个求积分呢？