Recent content by Max.Planck
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Graduate 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.- Max.Planck
- Post #3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate 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...- Max.Planck
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- Max Notation Value
- Replies: 3
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Understand Lemma Lucas Theorem & Its Proof
Ah of course, thank you.- Max.Planck
- Post #7
- Forum: Linear and Abstract Algebra
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Graduate Understand Lemma Lucas Theorem & Its Proof
Doesnt this imply that p does not divide p choose k?- Max.Planck
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate Understand Lemma Lucas Theorem & Its Proof
Agreed. I don't understand this. Ok thanks.- Max.Planck
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate 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...- Max.Planck
- Thread
- Theorem
- Replies: 6
- Forum: Linear and Abstract Algebra
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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- Max.Planck
- Post #2
- Forum: STEM Academic Advising
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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...- Max.Planck
- Post #2
- Forum: STEM Academic Advising
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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?- Max.Planck
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- Computer Computer science Europe Science Theoretical Universities
- Replies: 1
- Forum: STEM Academic Advising
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Graduate Easy test if unitary group is cyclic
Anyone?- Max.Planck
- Post #13
- Forum: Linear and Abstract Algebra
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Graduate Easy test if unitary group is cyclic
U(15) is not cyclic, but it is a power of a squarefree number right?- Max.Planck
- Post #12
- Forum: Linear and Abstract Algebra
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Graduate Easy test if unitary group is cyclic
No, i don't see it.- Max.Planck
- Post #10
- Forum: Linear and Abstract Algebra
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Graduate 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.- Max.Planck
- Post #8
- Forum: Linear and Abstract Algebra
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Graduate 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.- Max.Planck
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate Easy test if unitary group is cyclic
The operation is multiplication mod n, sorry forgot to mention.- Max.Planck
- Post #3
- Forum: Linear and Abstract Algebra