So, I am reading this paper on the physicality of the wave function and I have a question.
Here's the passage:
"If the wave function is a physical field, then the mass and charge density will be distributed in space simultaneously for a charged quantum system, and thus, there will exist...
No, I see what I did originally: I didn't carry the minus sign over.
Okay, so now that we have a function for A(a), how do the limits work?
We have:
(a) lim[a→∞]
(b) lim[a→0]
I got
lim[a→∞] = 0
lim[a→0] = ∞
Is that correct?
Okay...
So, when setting up this area equation... would it simply be the the integral of -(x / a^2+a)+(2a+1 / a^2+a) dx - integral of 1/x dx [from x=a to x=a+1]?
Okay, doing that, I get that the function for the area between La and f(x) is:
A(a) = (2a+1 / 2a^2+2a) - ln(a+1) - ln(a)
Is this...
Right, well I know the equation y-y1=m(x-x1).
So, I would have: y-(1/a)=(-1 / a^2+a)*(x-a) ---> y=(-x / a^2+a)+(a / a^2+a)+(1/a).
Right? Or... y=(-x / a^2+a)+(2a+1 / a(a+1))
Which would imply that:
y = (2a+1-x)/(a^2+a)
Right?
Consider the curve f(x) = 1/x
Consider two points on f(x): Pa and Qa, where the x-coordinate of Pa is a, and the x-coordinate of Qa is a+1.
Let La be the line connecting Pa and Qa
1.) Find the equation for La
2.) Find a formula that expresses A(a) = the area between f(x) and La
3.) Determine...
Actually, I was looking at staying away from the mathematical finance realm (since I already did that). I have taken Calculus I and II (both with theory), Calculus III, Mathematical Statistics, Probability (with Calculus), Linear Algebra (proof-based), Mathematical Modeling, and Set Theory. I am...
It's about GARCH(1,1) processes (mainly it's all statistics and probability).
Anyway, there is the section of a book (link below) that is confusing me:
Where does "E[ln(β+αz_t^2)]" come from (on page 319, the "second" page)? My other question is why does it say that "ln(β+αz_t^2) holds...