The Gaussian distribution or the normal distribution, they're two words for the same thing.

高斯分布或正态分布，它们是同一事物两个词。

The relevant  search term here would be gaussian curvature.

这里搜索词是高斯曲率。

Key words, gaussian elimination and row echelon form.

键词 高斯消去和行阶梯形。

Thing, e to the minus quadratic form, is Gaussian.

事物, e 到负二次形式, 是高斯。

Whereas, gaussian lives between minus infinity and infinity.

而高斯介于负无穷大和无穷大间。

Realize  that means we could have chosen a rectangular box as our imaginary, closed Gaussian surface.

意识到这意味着我们可以选择一个矩形盒子作为我们想象闭合高斯曲。

Uh … The imaginary closed Gaussian cylindrical  surface is made up of 3 surfaces.

呃… 假想封闭高斯圆柱是由3个曲组成。

Now multiply what's in each column, and you'll come out with two Gaussian integers.

现在将每列中内容乘，您将得到两个高斯整数。

Anytime you ever see a distribution and it's e to the minus, some quadratic form, that's Gaussian distribution.

任何时候你看到一个分布， 它是 e 到负，一些二次形式， 那就是高斯分布。

And where this is coming from, is they're all sampled from a bell curve known as a Gaussian distribution.

这是从哪里来，它们都是从称为高斯分布钟形曲线中采样。

Statistical speech models and a probabilistic technique called Gaussian mixture modelling are then used to identify each phoneme, before reconstructing the original word.

然后由语音统计模型和一种称为高斯混合模型概率工具来识别每个语素，再将其组合为原来单词。

Okay, just like we did with Gaussian surfaces, we need to look at the different sides of the Amperian rectangle.

好， 就像我们对高斯曲所做那样，我们需要查看安培矩形不同边。

And that  all still equals the charge inside the Gaussian surface divided by the permittivity of free space.

而这一切仍然等于高斯表内电荷除以自由空间介电常数。

The team says Jiuzhang's quantum computing system can implement large-scale " Gaussian boson sampling" 100 trillion times faster than the world's fastest existing supercomputer.

研究团队表示，“九章”量子计算系统可以实现大规模“高斯玻色采样”，比目前世界上最快超级计算机快100万亿倍。

That means the charge inside the Gaussian cylinder equals the surface charge density times the  area of one end.

这意味着高斯圆柱内电荷等于表电荷密度乘以一端积。

And … Everybody brought the area of one end  of the Gaussian cylinder to the party!

和。。。每个人都把高斯圆柱体一端积带到了派对上！

Now that  we have that figured out, Bobby, what shape shall we choose for our imaginary Gaussian surface?

现在我们已经明白了， Bobby，我们应该为我们假想高斯曲选择什么形状呢？

And, realize, while the Gaussian  surfaces we usually work with are imaginary, the Gaussian surface could  actually be a real, physical surface.

并且，要意识到，虽然我们通常使用高斯曲是假想，但高斯曲实际上可能是一个真实物理曲。

To see why, we need to understand how numbers factor inside the Gaussian integers.

要了解原因，我们需要了解数字如何在高斯整数中进行分解。

Also, from a purely artistic standpoint, the ultimate result is just really pretty to think about, much more so that Gaussian elimination.

此外， 从纯粹艺术角度来看，最终结果确实非常值得思考，更何况是高斯消去法。