Recent content by kasperrepsak

  1. K

    Markov chain chance one state is reached before another

    Well the pair is a solution to that matrix vector multiplication. But I'm pretty sure the teacher made a mistake in putting the chance x on the second place of the vector, since the way u explained it it should be on the third place. This is because x is the chance leaving from state 3. I just...
  2. K

    Markov chain chance one state is reached before another

    I'm sorry but as I know sometimes replies are overlooked I'm sending another reply with the hope you will respond.
  3. K

    Markov chain chance one state is reached before another

    Yes I realized that. What about the solution? Doesn't it also contain a mistake? If x is the chance leaving from state 3 shouldn't it come in the third place of the vector instead of the second?
  4. K

    Markov chain chance one state is reached before another

    Thank you very much for taking your time and explaining this neatly and thoroughly. I'm sure this will be helpful to many others too as I haven't found an explanation of this particular problem trough Google.
  5. K

    Markov chain chance one state is reached before another

    If you could direct me to a place where this is explained I would be grateful. The material my teacher provided doesn't address this problem or atleast not directly, so I find it hard to understand this solution from the theory provided. I don't understand why P'f=f must be true. And I don't...
  6. K

    Markov chain chance one state is reached before another

    Hey could someone explain why this is true? I am trying to understand how to solve such a problem but I don't understand the solution. Problem: Given a Markov chain \left\{X_{n}: n\in\ \mathbb{N}\right\} with four states 1,2,3,4 and transition matrix P = \begin{pmatrix} 0 &...
  7. K

    Prove that Sym(F) is a subgroup of O2(R)

    Could someone please help me on my way? It is a homework assignment for tomorrow : D.
  8. K

    Prove that Sym(F) is a subgroup of O2(R)

    Homework Statement \textbf{26.} Let F \subset \textbf{R$^2$} be a non-empty subset of \textbf{R$^2$} that is bounded. Prove that after chosing appropriate coordinates Sym(F) is a subgroup of O_2(\textbf{R}). Homework Equations The hints given are: Prove there is an a \in \textbf{R$^2$}...
  9. K

    Proof that S is a generating set.

    Ok thanks again for your help : ).
  10. K

    Proof that S is a generating set.

    Ok so I know that H and xH must be disjoined sets (easy to proof), they have the same number of elements and both must be in G. But since the order of H is greater than half the order of G, H and xH unified would have more elements than G which is a contradiction. Therefore H must be the whole...
  11. K

    Proof that S is a generating set.

    Thanks for the fast reply ! : ) Thank you I will work with that.
  12. K

    Proof that S is a generating set.

    Homework Statement I have recently started a new course in Algebra. I have to proof that if S is a subset of a finite group G, with an order greater than half the order of G, S is a generating subset for G. Homework Equations I haven't had cosets nor Lagrange theorem so I suppose I should try...
  13. K

    Proof that fn converges uniformly

    thank you, i solved it using that definition and by finding the maxima of fn by differentiation.
  14. K

    Proof that fn converges uniformly

    Homework Statement \frac{x}{1+n^2*x^2} I must show if this converges uniformly or that it doesnt. So i must show that there is an N or that there isn't an N for which if n > N the inequality in the definition of uniform convergence holds for all x. Homework Equations...
  15. K

    I have to proof that $\lim_{x \to \c} frac{1}{f(x) = 0$

    OK thank you. Yeah I know that in writing a proof one has to write a lot of little things to make it formally correct, I just wanted to know if I understand the method of proofing. Thanks again : )