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

因为金冠形状不规则 无法用数出体积。

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，从数角度来看，我的意见相反。

Now, mathematically you should go for it.

从数意义来讲，你应该努力争取。

Mathematically, this is basically a lot of multiplication.

从数上讲，这基本上是大量的乘法运。

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。

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人物和粉丝是否有共同的性格特征。

Then they modeled what they saw mathematically.

之后他们把看到的情况建立了数模型。

Meaning, let's put a ton of these cases together and calculate a score mathematically.

也就是说，让我们把大量这样的案例放在一起，用数方法一个分数。

Mathematically, the work function equals the product of Planck's constant and the threshold frequency.

在数上，功函数等于普朗克常数和阈值频率的乘积。

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

" 谢谢您。" 福克先生说。说完这句话，他就踱着方仰光号客厅去了。

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

从数上讲，任何有质量的物体都可以成为黑洞。

We can prove this mathematically using algebra.

我们可以使用数中的代数来证明。

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，从数上讲，它们看起来就不一样大了。

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

数上，测不准原理是这样表示的，x 表示位置，表示动量。

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，我们甚至可以用数来表达它们的关系。

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

因为用数去理解湍流太困难，我们可以用艺术来描绘它的样子。

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

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

Precisely simulating all but the simplest chemical reactions is mathematically intractable for any non-quantum computer, no matter how huge.

精确模拟哪怕是最简单的化反应时所需处理的数工作对任何一台非量子机而言，无论是多大的非量子机，都是相当棘手的。

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，它们在数上是相互关联的。

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金带来的吹嘘权利，而较低的费使得这在数上是不可能的。