I'm rather clueless on the whole thing so no meaning behind the formula (just invented something ... :/).
But, Hallsoflvy, that's exactly what I wanted to know. How the term below the fraction line is related to the term above. So whatever there is below the fraction line, this determines what...
Hello!
In my course on physical transport processes time and again these type of equations, containing partial derivatives, appear:
But how do you actually calculate such an equation? I know how to take the partial derivative from a function like x²tz³.
Would it be that I am given a...
Okay, I guess I got number one where the minus is simply based on the knowledge of +/- δ being zero thus having no further meaning.
And to the second problem: So does x(0) actually mean n is equal to the value which is substracted from n?
And does (n-1)-1 simply mean n-2?
Thanks!
Ahh... now I get the second question also! HAHA...
So if anyone should care:
In the second equation the author simply plugged in a 1 for the δ meaning that the particles (or the particle) are at zero after 1 step (actually have averaged out each other)! I reckon...
Would be cool if some math...
Okay I've looked up the answer to the first question in a book and there it says plus before the term encircled. So maybe it's not minus? Or might be that both are right? Ummm... anyone in the mood for some random walk? ;)
Okay, it's not easy for me but probably for you ;)
Hello first of all!
I have two questions:
1. Why is there a minus before the expression in the red circle?
2. How did the x((n-1)-1) in the last line come to be?More precise: I understand the first parts. It's the random walk and x signifies...
Yeah, it is the random walk! :)
Do you mean that the middle part equals zero (all negatives and positive deltas are on average 0) and that's why it can be canceled out?
I thought it was some formula like (a+b)(a-b) where it's a²-ab+ab-b² where the inner parts just cancels out each other.
This is basic maths but I kind of forgot how to retrace such an equation.
My question is: why does "+-2*xi(n-1)*delta" which is in the middle of the first long equation cancle out? I'm thankful for an answer!
Another question:
Equation 1.) is followed by equation 2.). In equation 2.) the delta is treated separately as encircled in red colour. Is this just a process of pulling the expression after the sigma sign in equ. 1 apart?
But then, why is the second expression (in the circle) SUBTRACTED from...
Oh okay, thank you. After some thinking ad not giving that much emphasis of on this n-1 (which so muchly looks like the n-1 from the df concept) I finally realized what both of you mean ;) I was really confused about why suddenly this n-1 would appear. But its probably quite reasonable. oO...
Hello!
I'm struggling with a probably easy physics question concerning random walks. Here I have the slide regarding this:
Delta is the distance that a particle moves.
Can someone explain where the n-1 initially comes from? Does it have to do wtih the concept of the degrees of freedom?
Than...
Homework Statement
Exercise: Hexachlorobenzene (C6Cl6) is a highly toxic waste product of pesticide manufacturing. It is resistant to biodegradation. Sediments at the bottom of a reservoir in the Upper Mississippi River catchment have been found to contain high C6Cl6 concentrations. The...