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。

Um, it isn't really a scientific law, not in the sense of predicting gravitation mathematically or something, but it's attempting a pattern in the spacing of the planets, and it was noticed by Bode hundreds of years ago.

嗯，这不是一个真正意义上的科学定律，并不在预测重力数值之类的层面，但它在尝试测量星球之间的，几百前被波德发现。

The geometry of the Universe mathematically describes its overall curvature, the shape of space on the largest scales of all.

宇宙的几何学在数学上描述了它的整体曲率，空间的形状在所有空间中最大的尺度。

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

所以们说（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。

But mathematically speaking, at New Trier High School in Illinois, the ratio of twins to the student body is one out of 10.

但从数学上讲，在伊利诺斯州的新特里尔高中，双胞胎的比例是十分之一。

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。

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，研究员可以从分数上确定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学模型。

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

在数学上，功函数等普朗克常数和阈值频率的乘积。

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。

And while that's not mathematically impossible, it is rather unlikely just given the momentum that he's had in this race and the fact that, frankly, he was not able to broaden the base of progressive supporters that he's had.

虽然从数学上来说这并非不可能，但考虑到他在竞选中的势头，而且坦白说，他无法扩大他所拥有的进步支持者的基础，因此这不太可能实现。

" A well–used minimum suffices for everything" ." But, in order not to exceed it, you must jump mathematically from the trains upon the steamers, and from the steamers upon the trains again" .

" 要想不超过八十天，必须极准确地一下火车马上就上船，一下船马上又上火车才行啊！"

This material is highly relevant.Theoretically the laws governing the psychological energy structures could be worked out mathematically, but until it is realized that energy is basically mental and psychological in nature and origin, little can be done.

这份资料有高度的相关性。从理论上讲，统辖心理能量建的法则可以用数学方法计算出来，但直到能认识到能量的本质和起源基本上是精神和心理的，否则几乎无能为力，毫无办法。

And of course, you'd have to reveal the January birthdays fact using a mathematically guaranteed privacy protection… but that's what the main video is about. So go watch it.

当然你需要使用在数学上有保证的隐私保护来揭露一月份生日事实......但这是主视频里要讲的。所以去看看吧。

Three years later, he smashed the entrance exam for Boston's English High School – a school that specifically catered toward mathematically inclined students who were looking for a career in business and finance.

三后，他顺利通过了波士顿英语高中的入学考试——这是一所专门为那些有数学倾向、想在商业和金融领域找到工作的学生开设的学校。

What the hero did to the girl is mathematically the same as running her over with a space shuttle at maximum speed.

这英雄带着女孩的快速移动，在数学上相当搭乘太空梭到达极大速度。这位英雄对女孩所做的，算起来就和带她撞上极速飞来的宇宙飞船一样。

Three years later, he smashed the entrance exam for Boston's English High School — a school that specifically catered toward mathematically inclined students who were looking for a career in business and finance.

三后，他顺利通过了波士顿英语高中的入学考试——这是一所专门为那些有数学倾向、想在商业和金融领域找到工作的学生开设的学校。

Joints are the meeting places between two or more bones — and even though it might not sound mathematically possible, you actually have more joints in your body than you have bones.

关节是两块或两块以上骨头的交汇处——尽管这在数学上听起来不可能，但你身体里的关节实际上比骨头还多。