d(V) = d(4*pi*rho^3/3)*d(theta/2/pi)*d((1 - cos(phi))/2) = 4*pi*rho^2*d(rho)*d(theta)/2/pi*sin(phi)*d(phi)/2 = rho^2*sin(phi)*d(rho)*d(theta)*d(phi)
In spherical coordinates, d(V) is equal to the product of the following three factors.d(4*pi*rho^3/3) = 4*pi*rho^2*d(rho)d(theta/2/pi) = d(theta)/2/pid((1 - cos(phi))/2) = sin(phi)*d(phi)/2
4*pi*rho^3/3 = volume(sphere)0 <= theta/2/pi <= 1since0 <= theta <= 2*pi0 <= (1 - cos(phi))/2 <= 1since0 <= phi <= pi
The variables are correctly labeled, or defined, in the accompanying image.
>>16536681who gives a shit?
>>16538951>who gives a shit?This board is /sci/, remember?And this thread isn't your toilet!
>>16536371This is illegible without MathJaX
>>16537731i've seen every permutation of "correct" labels.i stopped remembering what the mathematicians, physicists, and engineers all say is "correct", and just reason out what convention the problem at hand decides to use
>>16539857The conventional physics method is retardedThe mathchad way has theta being consistent with polar/cylindrical
>>16539846>>16539857>>16540129the elephant in the room (or thread):>>16538951>who gives a shit?
>>16538951>who gives a shit?1st: I tapped the three vertical dots which are to the left of the fifth poster's name.2nd: I tapped the "Delete post" option.3rd: I tapped the "OK" option.4th: I received the "Something went wrong." message.I hope, that a moderator deletes the fifth post!The fifth post is uncivil.
The 2nd post:>>16536681The 5th post:>>16538951>who gives a shit?Does the 5th poster have the IP address of the 2nd poster?If yes, then did the 5th poster stalk the 2nd poster?
