Recent content by Steve Zissou

Thank you Hill.

Thank you to those who have shared their insights here. Let me rephrase one more time. $$\int_{0}^{\infty}f(x)g(x)dx=\int_{0}^{\infty}f(x)h(x)dx$$ 1) Can we "cancel" the ##f(x)## terms on each side, thereby now having $$\int_{0}^{\infty}g(x)dx=\int_{0}^{\infty}h(x)dx$$ 2) Can we also now say...

I'm imagining that the two integrals are Riemann sums in a limit. So I'm seeing the ##f(x,y)##'s all cancelling out as additive terms.

renormalize, thanks for your reply. In your example, can we not conclude that ##(x-1)y=(x-1)a##?

Thank you all for looking at this. I wish I had a more concrete example but I'm just trying to understand a certain concept here. So please allow me to rephrase my original question. How about this? Let's say ## f = f(x,y) ## and also ## g = g(x,y) ##. $$\int_{0}^{\infty}f(x,y)g(x,y)dx...

I'm very sorry guys, allow me to make my examples firmer. I don't want to waste your time. I'll be back with a "better question."

I was hoping to be able to make definite integrals here.

Thank you Frabjous. How about this? Let's say we have $$ \int f(x) g(a) dx = \int f(x) g(b) dx $$ ...where a and b are parameters. Can we say that ## g(a)=g(b) ##?? ...or even that ## a = b ##? Thanks again

Thank you. Is there any chance you can help me understand?

Howdy all, Let's say we have, in general an expression: $$ \int f(x) g(x) dx $$ But in through some machinations, we have, for parameter ##a##, $$ \int f(x) g(x) dx = \int f(x) g(a) dx $$ ...can we conclude that ## g(x) = g(a) ## ???? Thanks

Just for fun - Did Ramanujan actually exist, or was he just an alter-ego of Hardy? What do you think?

@Stephen Tashi I see. So 1) define some best fit, and 2) make some specification for behavior of the tails

hutchphd and Stephen Tashi, thank you for your quick replies. Stephen I think you've already made a great point. But regardless here is my attempt to "tighten up" my question. Ok, so let's say we have some data that ostensibly "comes from" the normal...

Ok, I'm sure I can find a smarter way to pose this question, and I will try to define the question more carefully in coming days. That having been said, consider this: Let's say we have a random variable X (or whatever). I can calculate the moments of this variable with no problem. In fact let's...

Thanks, mjc123!