Recent content by Max.Planck

  1. M

    Notation: getting one value from arg max

    I want to get the index of the function with the highest value for that particular x, and if there are several, the last index should be returned.
  2. M

    Notation: getting one value from arg max

    I want to take the arg max over a number of functions as below, however it is possible that there are multiple i's for which the result is maximal. How do i denote that I want to take the last possible i, for example if it results in 3 and 5 I want it to return 5, is there notation available for...
  3. M

    Understand Lemma Lucas Theorem & Its Proof

    Ah of course, thank you.
  4. M

    Understand Lemma Lucas Theorem & Its Proof

    Doesnt this imply that p does not divide p choose k?
  5. M

    Understand Lemma Lucas Theorem & Its Proof

    Agreed. I don't understand this. Ok thanks.
  6. M

    Understand Lemma Lucas Theorem & Its Proof

    Hi. I don't understand the following proof. Lemma Let p be a prime number and 1<=k<=p-1, then: {p \choose k} \equiv 0 \pmod{p} Proof {p \choose k} = \frac{p!}{k!(p-k)!}. Since p | p! but p \not | k! \land p \not | (p-k)! the proof follows. I think here what you want to show is that p divides...
  7. M

    Schools Good universities Theoretical Computer Science Europe

    Just putting up some suggestions, maybe someone has experience with them? Switserland - ETH Zürich - EFPL Lausanne Netherlands - TU Delft - Leiden University Germany - Karlsruhe Insititute of Technology - TU München Sweden - KTH Denmark - Aarhus - Copenhagen
  8. M

    Stick with C++ or learn something different?

    C++ is a fine language to learn. It allows you to program in various paradigms, allows you to make very efficient programs and is widely used. However, it is a very large language, and, it has a lot of features that only serve to maintain compatibility with old standards. But, if you stick to...
  9. M

    Schools Good universities Theoretical Computer Science Europe

    Im looking for a good university in Europe do to a MSc in Computer Science. I'm especially interested in Theoretical Computer Science, algorithms & data structures and machine learning. Any recommentations?
  10. M

    Easy test if unitary group is cyclic

    U(15) is not cyclic, but it is a power of a squarefree number right?
  11. M

    Easy test if unitary group is cyclic

    No, i don't see it.
  12. M

    Easy test if unitary group is cyclic

    In case it is prime it is cyclic then. But when it is nonprime I only see looking through the elements for a generator as the only solution.
  13. M

    Easy test if unitary group is cyclic

    Not really, for example U(12) is not cyclic. How can I easily check without looking through all the elements for a generator.
  14. M

    Easy test if unitary group is cyclic

    The operation is multiplication mod n, sorry forgot to mention.
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