Actually could you go into more detail about the pressure difference (that's the heart of my question)? I understand that an airfoil creates a pressure difference above and below the wing. I accept hand-wavy explanations of this with Bernoulli's principle.
However, why does flow separation...
Hi!
I'm working on a high Reynold's number model, considering flow over an airfoil with a high angle of attack. I know I want to minimize drag. I'm told that flow separation creates pressure drag---relatively low pressure in the wake of my foil.
Q1: Why would flow separation cause lower...
I've always been told "correlation does not imply causation." However, I've never been told much about whether it can imply a probability of causation. Moreover, there seem to be competing and often misused definitions of "to cause", i.e., use in a syllogistic sense versus use in probabilistic...
Disregard that last question, I've answered it for myself. The output stream is of arbitrary length and should be used as the vector of 'random' numbers.
However the question remains: does the length of the table matter? Is there an optimal length?
Also:
Is the final vector of 'random' numbers the appendage of the output stream to the table? Just the table? Just the output stream? Or does it matter?
Thanks Nemo.
Three things
(1) The illustration of the table and output stream were very helpful; thank you so much! I think its the diction that has confused me--I would describe the algorithm with a choice of words totally different from what I've found in literature (probably just a consequence of my...
Hi!
I've got an idea of how LCGs work. However, I'm reading "Exploring Monte Carlo Methods" and came across the Bays-Durham Shuffle, a means of getting rid of low-order correlations in the minimal standard LCG.
The outline of this algorithm in the book makes no sense to me. Can someone...
Closure! I'm pretty sure I solved it a little while back. It turns out the answer was not pretty as I had imagined it would be. The real problem was that I had failed to simplify it into something comparable. Thanks so much!
Thanks dingo. I did notice that I had the wrong sign in the exponent shortly after posting.
As for solving it:
Unfortunately, I have to give some thought on how to make Mathematica obey me (since solving for A,B,F is an overdetermined system in its opinion, right?). By hand I'm having a...
Allow me to attempt :)!
First, I consider the case of
\begin{array}{lr}
-\frac{h^2}{2m} \frac{d^2 \psi}{d x^2} - \alpha [\delta (x+a) + \delta (x-a)] \psi = E \psi & [1]
\end{array}
, where E > 0 (scattering states) and x \neq |a|
There are three such regions, and for each...
Sorry, I should have been more specific! I meant a single delta function potential at some point x=a. However, it seems that you grasped my real interest---understanding how to arrive at the transmission coefficient when we have two symmetric delta potential wells:
V(x)=V_0\delta (x)+V_0\delta...
(This is my first post; so, please let me know if I'm going about this wrong.) Griffiths actually asks the reader to calculate the transmission coefficient in the next problem for a fixed \alpha. How does the transmission coefficient vary from the single-well case? Does anyone have any pointers...