And when people talk about how it doesn't work, I'm like mathematically it does.

所以人们说（做广告）没用的时候，从数学角度来看，我的意见相反。

Now, mathematically you should go for it.

从数学意义来讲，你应该努力争取。

Then they modeled what they saw mathematically.

之后他们把看到的情况建立了数学模型。

We can prove this mathematically using algebra.

我们可以使用数学中的代数来证明。

Mathematically, this is basically a lot of multiplication.

从数学上讲，这基本上是大量的乘法运算。

In fact, they're so closely and predictably tied together that we can even express their relationship mathematically.

事实上，它们紧密且可预测地联系在一起，我们甚至可以用数学来表达它们的关系。

They literally become mathematically indistinguishable, and all behave the same way.

它们在数学上变得无法区分，并且都以相同的方式运行。

Mathematically speaking, any object that has mass can become a black hole.

从数学上讲，任何有质量的物体都可以成为黑洞。

So, researchers could mathematically determine if characters and their fans share personality traits.

这样，研究人员可以从分数上确定虚构人物和粉丝是否有共同的性格特征。

And keep in mind, mathematically, she doesn't even have a majority in Parliament here.

记住，从数字上来看，她在英国议会甚至不占据多数席位。

Because the crown was irregularly shaped, there was no way to mathematically determine its volume.

因为金冠形状不规则 无法用数学计算出体积。

" Thank you, " returned Mr. Fogg, descending mathematically to the saloon.

" 谢谢您。" 福克先生说。说完这句话，他就踱着方步走下仰光号客厅去了。

When you split two eights you have a higher chance, again mathematically, to come up with a more favorable hand.

当你拆开两个 8 点时，同样地从数学角度讲，你有更高的机率抽到一张对你更有利的牌。

Mathematically, the uncertainty principle is represented like this, where 'x' is position and 'p' is momentum.

数学上，测不准原理是这样表示的，x 表示位置，表示动量。

Because if they actually were the same size, mathematically speaking they wouldn't look the same size.

因为如果它们真的是一样大，从数学上讲，它们看起来就不一样大了。

In the past, that was mathematically impossible, you got 24, or you got 26, you never got 25.

在过去，这在数学上是不可能的，你会得到 24 分，或者 26分，你永远不会得到 25 分。

Or they may want the bragging rights that accompany a large scholarship, which a lower tuition renders mathematically impossible.

或者，他们可能想要高额奖学金带来的吹嘘权利，而较低的学费使得这在数学上是不可能的。

He was not involved in the study. He said establishing the genes shared by the groups is mathematically difficult.

他没有参与这项研究。他表示，建立群体共有的基因从数学上来说非常困难。

As difficult as turbulence is to understand mathematically, we can use art to depict the way it looks.

因为用数学去理解湍流太困难，我们可以用艺术来描绘它的样子。

And he figured out that the notes in the musical scale aren't random, they're mathematically related to each other.

他发现音阶中的音符不是随机的，它们在数学上是相互关联的。