Recent content by 2thumbsGuy

OK, that helps. I've actually been working with a much more complex expression that turns out I would need to use imaginary numbers to fully plot, so that hasn't helped. And also I've been mapping a series of formulas and writing checks into excel, which doesn't throw zero on sin(pi), so I'm...

OK, I'm confused again. So... arcsin [sin ((x-102)] = arcsin (0) = (x - 10)2 = nπ ...? How does arcsin(0) equal anything but 0?

aaaaaaah nice, it's kind of coming trickling back, now. Thank you, sirs!

So, x = (√(nπ) + 10)? So then where does arcsin come in?

Right, yes! That!

It's been a long time since I had to try and figure this stuff out, so a little refresher would be helpful. I'm trying to find where x = 0 in this equation: sin((x-10)^2) I forget how this works. Can I get a little help? Thank you!

Actually, I think the programming solution would be the same as the math solution. As you say, f(x) if x∈[b,c] and F(x)=0 elsewhere, and the same for g(x). This is normal if/then scenario. I know how I can do this! Thanks for helping me think through it.

Thank you very much! This is familiar. To your second question, the domains will vary according to circumstance. For this case we can use a = 1, b = 2, c = 3, d = 4. But they will change many, many times.

both f(x) and g(x) have values outside of the defined domains, but I want to only consider the values within their respective defined domains. I'll be using this in some software, so maybe it's best that I constrain the domains within the software instead of in the math, but I wanted to get all...

OK, so I posted this a few days ago: https://www.physicsforums.com/threads/subtracting-the-overlap-of-functions.784184/#post-4925108 What I've come to discover is that I want to understand how I can subtract f(x) on domain [b,c] from g(x) on domain [a,d]. I want to be able to disregard both...

OK, I find it to be desirable where f(x) >= 0 and g(x) >= 0, so how can I restrict the function to that range before performing the subtraction? Or is it specific to the function? EDIT Here are the graphs I came up with to evaluate your statement: Graph 1 ( f(x) )...

I didn't think it would be that simple... let me just do that and see what I come up with. Thanks!

I have a fun project I'm trying to do and it's been a good number of years since I did any math higher than algebra. As such, I don't know how to approach this and would like some pointers. I am trying to understand how I can subtract one function from another ONLY where the two functions...

Ah. \frac{1}{μ1}B1 = \frac{1}{μ2}B2 \frac{1}{μ1v1}E1 = \frac{1}{μ2v2}E2 E1 = \frac{μ1v1}{μ2v2}E2 E1 = βE2 Ei-Er = βEt Subbing for Et: Ei-Er = β(Ei+Er) Er = Ei-βEi-βEr Er+βEr = Ei-βEi Er(1+β) = Ei(1-β) Er = \frac{1-β}{1+β}Ei So simple! Why didn't I see it...

OK, I see how you got that. But why would you add them? What about the first two relevant eqns in #2? These solutions so far do not fall into that format, and if I plug in, say (Ei-Er)=βEt it does not resolve.