In the "Acta" of 1691 James Bernoulli derived the equation for the tractrix.
在1691年的《学报》中詹?出跟踪曲线的方程。
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Bernoulli also came up with what we now know as Bernoulli's equation.
伯努利还放了什么 我们通过伯努利方程知道它。
This is known as Bernoulli's principle.
这被称为伯努利定律。
The first term in Bernoulli's equation takes that energy, and divides it by volume.
伯努利方程的第一项 能量除以体积。
Now with this definition of this-- and this is the most general definition of a Bernoulli Distribution.
现在有了这个定——这伯努利分布最一般的定。
The mean of this Bernoulli distribution is going to be P2.
这个伯努利分布的均值将 P2。
That’s called the kinetic energy density, and it’s the second term of Bernoulli’s equation.
这就所谓的动能密度, 它伯努利方程的第二项。
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,连续性方程、伯努利方程和托里拆利定理。
That's called the kinetic energy density, and it's the second term of Bernoulli's equation.
这称为动能密度, 它伯努利方程的第二项。
Bernoulli also came up with what we now know as Bernoulli’s equation.
伯努利还提出了我们现在所知的伯努利方程。
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, 乘以其速度的平方。
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这两个比例的乘积。
This is known as Bernoulli’s principle.
这被称为伯努利原理。
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, 即托里拆利定理。
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,再乘以速度的平方。
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。
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。
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。
To figure out really the formulas for the mean and the variance of a Bernoulli Distribution if we don't have the actual numbers.
如果我们没有实际数字,要真正找出伯努利分布的均值和方差的公式。
We talk about Bernoulli's principle a lot on this channel, and he's got something to say about the flow of water in a spillway.
我们在这个频道上经常谈论伯努利原理,他对溢洪道中的水流有话要说。
And then we'll come up with general formulas for the mean and variance and standard deviation of this distribution, which is actually called the Bernoulli Distribution.
然后我们会得出这个分布的均值、方差和标准差的通用公式,这实际上被称为伯努利分布。
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