You just saved my life on my calc homework dude, I totally missed that substitution before the integration by parts and I was in hell. Thanks for putting this up!
It would be helpful if there was a video on how to integrate v^2 and the maxwell-boltzmann distribution since root mean square velocity is equal to the square root[average of v^2]. Gaussian techniques need to be used, apparently, and there are no examples on the Internet.
Its not stats, it is a theorem of calculus, the average value of a function f(x) over a range (a,b) is equal to the integral of the function multiplied by x { f(x) . x } from a to b.
its because there is something in stats called the expected value of a function or mean of a function and when the function is a probability density function like it is here the expected value will be the integral from -ve infinity to +ve infinity of xf(x) dx Here's the source it'll be under "Random variables with density":en.wikipedia.org/wiki/Expected_value
Bruh, I feel so called out: "I left some room in the recording right there in case anybody had to groan out loud" 💀 Thanks for the help with this one!
so real. soooo so so real.
you are a good man .. my exams were coming and i was terribly scared, you saved my life .. hope you dont get corona
@Davion Darius 😘😘
You just saved my life on my calc homework dude, I totally missed that substitution before the integration by parts and I was in hell. Thanks for putting this up!
Holy, thanks brother, just what i needed
It would be helpful if there was a video on how to integrate v^2 and the maxwell-boltzmann distribution since root mean square velocity is equal to the square root[average of v^2]. Gaussian techniques need to be used, apparently, and there are no examples on the Internet.
beautifully explained
i get why multiplying by v makes it a big difference. But why are we multiplying by v? Ive never taken stats.
Its not stats, it is a theorem of calculus, the average value of a function f(x) over a range (a,b) is equal to the integral of the function multiplied by x { f(x) . x } from a to b.
its because there is something in stats called the expected value of a function or mean of a function and when the function is a probability density function like it is here the expected value will be the integral from -ve infinity to +ve infinity of xf(x) dx
Here's the source it'll be under "Random variables with density":en.wikipedia.org/wiki/Expected_value
Can you explain how to get the most probable velocity?
You just take the first derivation of the Maxwell distribution and make it equal to zero (because it is the top of the distribution).