# Recent content by bowlbase

1. ### Anyone considering a career as a patent attorney?

I just want to say that I have been working for the USPTO for a while now and never would have considered patents if not for this thread. If anyone has any questions about the USPTO or working as a patent examiner I'll answer what I can.
2. ### General Optics Question

Yeah, its been several years since I've had any optics classes so I'm struggling to remember. I recall doing some matrix multiplication for compound lenses but I don't dare delve that deeply. I don't think it is impossible, just more effort.
3. ### General Optics Question

What 'd' should be used for calculating the power when including the third lens? So I have the first two lenses easy enough. But I'm not sure if I take the P12 to be the distance of the second lens, the average of the distance from 1->3 and 1->2 or just the total distance. I suspect it is the...
4. ### General Optics Question

I have all the dimensions of the lenses and distances between in the system.
5. ### General Optics Question

Homework Statement I have a compound thick lens problem that I need to find the sign of the refractive power. Homework Equations Thick lens equation and focal length equation. The Attempt at a Solution I believe all I need to do is calculate the focal length of the first two thick lenses and...
6. ### Relative Entropy or Kullback Leibler divergence

Nevermind, I've got it!
7. ### Relative Entropy or Kullback Leibler divergence

Homework Statement I am suppose to calculate the relative entropy between two sets of data: Base set Set 1: A C G T 0 0 0 10 0 0 0 10 0 0 10 0 0 10 0 0 10 0 0 0 * * * * //Randomized 0 0 0 10 0 10 0...
8. ### Hidden Markov Model

I think that I have found a way to do this, but I want to make sure it is correct. I believe that the equation is telling me to multiply the two probabilities (prob.to be ACGT within R or G and prob. that R or G changed) and then multiply all of those together. I'm just not sure about order...
9. ### Hidden Markov Model

Homework Statement Consider an HMM with two possible states, “R” and “G” (for “regulatory” and “gene” sequences respectively). Each state emits one character, chosen from the alphabet {A,C,G,T}. The transition probabilities of this HMM are: aRG = aGR = 1/4 aRR = aGG = 3/4 The emission...
10. ### DNA sequence evolution

You are right. I had a feeling that I was getting the opposite result that I was meaning to get. I should have realized I had them mixed up! Thanks!
11. ### DNA sequence modeled as 4 faced die

Oh, okay. I was worried for a second that I had done something else wrong. Thanks!
12. ### DNA sequence modeled as 4 faced die

Well, the ML method described in class was to take the binomial distribution's derivative, set it to 0 and solve for the probability. So that is the method I used. Is this not correct?
13. ### DNA sequence evolution

Homework Statement A strand of length L begins life as all A's. Assume that each letter evolves independent of all the rest until today, 1000 generations later. Within each generation there is a ##\mu## probability that the letter mutates to either C, G, T. Finally, assume that once a letter...
14. ### DNA sequence modeled as 4 faced die

I finally found time to sit and finish this, sorry it took so long. So, I found the maximum with the method I described initially and got the exact some result as if I had just taken the first "simple" method I thought of. It seems my first instinct was correct. Thanks for the help.
15. ### DNA sequence modeled as 4 faced die

My idea was handle each as either A or Not-A as you mentioned. Since I was explicitly given the hint to use the binomial and maximization likelihood. I don't believe we ever discussed the multinomial distribution but I can see how it works here. I think that since the problem is really just...