# Recent content by Pi Face

1. ### Algorithm for creating unique groups of elements

Homework Statement so for a side task I'm supposed to assign people to groups for an icebreaker in python, can anyone give me links to theories that I could read up on or give me suggestion X number of people at my company signed up for a dinner roulette as a way to meet new people. Everyone...
2. ### Find where one graph is bigger than the other

Homework Statement My question is part of a bigger one that I'm using in a graphical proof. I have two functions, tanh(ap) and 2a/(1+a^2). The a is the input and p is a constant. I'm trying to find the value for p which is the bridging point between the two functions having 1 intersection...
3. ### Basic sturm liouville boundary problems

Wow such careless errors haha, but thanks for finding where I went wrong. I got the answer and everything seems good!
4. ### Basic sturm liouville boundary problems

Homework Statement Compute the eigenvalues/functions of the given regular S-L problem f''(x)+λf(x)=0 0<x<π f(0)=0 f'(π)=0 2. The attempt at a solution First off, why is π not included in the given boundary if it tells you f'(x) at π? Now for my attempt: assuming λ=0...
5. ### Thermal expansion (and the Michelson Morley experiment)

Ah I see, I completely forgot that only one arm was being affected. I understand what you're saying, but I'm having trouble expressing it mathematically. How do I know which arm to lengthen? The same change in L will affect the parallel and perpendicular arms differently (different denominators...
6. ### Thermal expansion (and the Michelson Morley experiment)

Homework Statement (B) http://imgur.com/VL4aG although I showed the rest of the problem for context if needed Homework Equations ΔL=αLΔT The Attempt at a Solution I'm a little confused by the wording of the problem. When we find the shift in ΔN, are we actually finding Δ(ΔN)...
7. ### Simplifying boolean expressions

I tried to use X(N)OR and this is what I came up with: From =a'b'c'+ac+bc I can multiply ac and bc by (1) in the form (x+x') =a'b'c'+ac(b+b')+bc(a+a') =a'b'c'+abc+ab'c+abc+a'bc Get rid of one of the two abc (redundant) =a'b'c'+abc+ab'c+a'bc Factor =bc(a+a')+b'(ac+a'c') =bc(1)+b'(aXORc)'...
8. ### Simplifying boolean expressions

It doesn't say we can't and we did cover it, however it doesn't show up in any of the other problems or examples so far
9. ### Simplifying boolean expressions

Homework Statement Simplify the following Boolean expressions to a minimum number of literals (a+b+c')(a'b'+c) 2. The attempt at a solution Whenever I tried this I made no progress in reducing the number of literals, I just reordered the expression. (a+b+c')(a'b'+c)...
10. ### Identifying parallel elements in a circuit

Okay I see, thank you very much for clarifying that for me.
11. ### Identifying parallel elements in a circuit

So say we have a square circuit, with one resistor on the top and 3 resistors in series on the bottom (nothing on left and right) Only the outer 2 of the 3 bottom resistors would be parallel with the top? Not the middle one? edit: also, going by what you said my answer for series seems to be...
12. ### Identifying parallel elements in a circuit

In the following circuit, a) identify all combinations of 2 or more circuit elements that are connected in series and b) Identify pairs of circuit elements that are connected in parallel. http://imgur.com/keorO a) Seems easy enough, the 4 and 6 ohm resistors are in series, and so are the 5...
13. ### Uncertainty Relations & Wave Packets

PROBLEM: Laser pulses of femptosecond duration can be produced, but for such brief pulses it makes no sense to speak of the ‘color’ of the laser. To demonstrate this, compute the time duration of a laser pulse whose range of frequencies covers the entire visible spectrum (4.0*10^14 Hz to...
14. ### Power disspated in a circuit

ahh I see, I don't actually need to find the value of I P=2000I^2=R*(I/2)^2=R*(1/4)I^2 meaning R must be 4 times 2k, or 8kΩ. And both R1 and R2 are equal so 8k for both, which I think is what the solutions said cool, thanks!
15. ### Power disspated in a circuit

P=I^2*R right? but R is still R1 or R2, and I don't know the current numerically. I know it's half of I1, but what's I1? The only way I can think of finding it is I=V/Req, where V is 10 and Req is 2k+R_1/2, which for R1 I don't know either and leads me in a circle