In the "Acta" of 1691 James Bernoulli derived the equation for the tractrix.
在1691年的《学报》中?伯利跟踪曲线的方程。
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Bernoulli also came up with what we now know as Bernoulli's equation.
伯努利放了什么 我们通过伯努利方程知道它。
Bernoulli also came up with what we now know as Bernoulli’s equation.
伯努利了我们现在所知的伯努利方程。
Some of the X odds are going to be Bernoulli.
一些X赔率将是伯努利。
We see some xi's from a Bernoulli distribution.
我们从伯努利分布中看到了一些xi。
This is known as Bernoulli's principle.
这被称为伯努利定律。
Bernoulli's principle is a part of mechanics and science.
伯努利原是力学和科学的一部分。
This is known as Bernoulli’s principle.
这被称为伯努利原。
The first term in Bernoulli's equation takes that energy, and divides it by volume.
伯努利方程的第一项是 能量除以体积。
And we've seen this when we first learned about Bernoulli distributions.
当我们第一次了解伯努利分布时,我们已经看到了这一点。
Today, you learned about fluids in motion, with a focus on the continuity equation, Bernoulli’s equation, and Torricelli’s theorem.
今天,您学习了运动中的流体,重点是连续性方程、伯努利方程和托里拆利定。
The key is stability, and the essence is using aerodynamics, which is fundamentally based on Bernoulli's principle.
关键是稳定性, 而本质是使用空气动力学,这从根本上是基于伯努利原的。
That's called the kinetic energy density, and it's the second term of Bernoulli's equation.
这称为动能密度, 它是伯努利方程的第二项。
And we saw this many many videos ago when we learned about Bernoulli distributions.
当我们了解伯努利分布时,我们看到了很多很多视频。
The mean of this Bernoulli distribution is going to be P2.
这个伯努利分布的均值将是 P2。
The first term in Bernoulli’s equation takes that energy, and divides it by volume.
伯努利方程中的第一项取该能量, 并将其除以体积。
Again, Bernoulli divided this form of energy by volume, to get half the fluid's density, times its velocity squared.
伯努利将这种形式的能量分开,得到 流体密度的一半,再乘以度的平方。
That’s called the kinetic energy density, and it’s the second term of Bernoulli’s equation.
这就是所谓的动能密度, 它是伯努利方程的第二项。
Again, Bernoulli divided this form of energy by volume, to get half the fluid’s density, times its velocity squared.
同样,伯努利将这种形式的能量除以体积, 得到流体密度的一半, 乘以其度的平方。
And then the variance of this Bernoulli distribution is going to be these two proportions multiplied.
然后这个伯努利分布的方差就是这两个比例的乘积。
Now, let’s look at a special case of Bernoulli’s equation, known as Torricelli’s theorem.
现在,让我们看一下伯努利方程的一个特例, 即托里拆利定。
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