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Thread: Is Bernoulli's equation a binomial distribution?

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    Is Bernoulli's equation a binomial distribution?

    IF so, how do they relate?
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    Re: Is Bernoulli's equation a binomial distribution?

    Quote Originally Posted by math951 View Post
    IF so, how do they relate?
    So far as I know Bernoulli's equation is not mathematics but something to do with the physics of air lift.
    But there is Bernoulli's inequality: SEE HERE
    Where we see that $(1+x)^n\ge 1+nx,~n\in\mathbb{Z},~n\ge 2~\&~x\ge -1$ now that is mathematics.

    Here is binomial distribution $\displaystyle {(1 + x)^n} = \sum\limits_{k = 0}^n {\left( {\begin{array}{*{20}{c}} n\\ k \end{array}} \right){x^k}} $.

    Now what more is there to your question?
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    Member Walagaster's Avatar
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    Re: Is Bernoulli's equation a binomial distribution?

    There is also a differential equation called Bernoulli's equation: $y' + P(x)y = Q(x)y^n$. Not related to binomial distribution that I know of. See
    Differential Equations - Bernoulli Differential Equations
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    Re: Is Bernoulli's equation a binomial distribution?

    I think what Plato was reaching for in Physics is an equation in fluid dynamics. It is an extreme of fluid dynamics in that it deals with a smooth (no friction) irrotational (the fluid flow does not "twist") constant density linear (no vortices) flow of fluid, usually thought of as in a pipe. It's about as a simple concept as fluid flow gets. See here for the basics.

    -Dan
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    Re: Is Bernoulli's equation a binomial distribution?

    A Bernoulli trial is an event with two possible outcomes success and failure.

    The number of successes out of some number of trials has a Binomial Distribution.
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