So we had an exam question which was the following:
Assume you have N identical balls and K different contains if there are N pre-Selected boxes and that N < k what is the probablity that none of these pre-selected boxes are empty?
I answered it and it was the same as the professor's answer...
Actually I might have proved it
Assume:
##(1-P(D)) y = x^n ##
Assume ##y = Q(D) x^n##
If this ##Q(D) = (1+P(D) + P(D)^2 ... )##
##(1-P(D)) (1+P(D) + P(D)^2 ... ) x^n ##
It is easy to verify that this is equal to x^n thus ##y = Q(D) x^n##
We have the rules of D operator for Linearity, Sum and...
Thank you all for the responses. Sorry for the late reply.
Fresh_42, That is kinda advanced mathematics for me. I still haven't taken most of what you have mentioned.
RPinPA, Exactly. I understood the method of undetermined coefficients. Absolutely reasonable for me. I can also work with the D...
How does this relate to my question?
"And they continue by expanding using maclaurin series. How do you treat an operator as a variable? How could you possibly assign a value of zero to it?"
I don't really understand how their inverses work.
For example, in solving 2nd order linear non-homogeneous differential equations.
The particular solution is found by
## y_{pi} = \frac{p(x)}{f(D)} ##
And they continue by expanding using maclaurin series. How do you treat an operator as a...
I have been thinking about what you both said. I would ask you please to check if this is correct.
Assume lorentz factor is 2
Say Observer A knows he will unfortunately explode when his clock reads 5 secs and he is moving relative to observer B. When both of them were at the same point they...
I don't really understand how time dilation works in SR.
I just know this that "Now" in one reference frame is not the same in another so for example when Observer A says his time is 10s then at the same moment he will say Observer B's time who is moving relative to him is 5s for example.
The...
Yes I know that but I am asking how you can do that? Like what codition do you put in each situation then sum it up?
In wikipedia they put some conditions on the current in 3 situation but I didnt understand how ?
In the wikipedia page and on every book they proof the transformation by equaling the the equivalent resistance between any pair of terminals while disconnecting the other node.https://en.wikipedia.org/wiki/Y-%CE%94_transform
Why this should make the two circuits equal? How can we apply...
My bad, Say you have a alloy made of 40% A and 60% B and another alloy 30% A and 70% B, if you heat both to the same temperature where you would have two phases ( Solid and liquid), Using tie line, You will find that the liquid or solid phase has the same composition regardless of the general...