Recent content by Novak

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    random intervals

    s*it! i should not post solutions when i'm about to go to bed! 'intersect' is not the same as 'included'
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    random intervals

    if im not mistaken... pairing to have an interval (a,b) intersecting all of the others means that for each (a_i, b_i) != (a,b) one has a_i < a, b_i > b. so, (a,b) = (1005, 1006), a_i < 1005, b_i > 1006. thus, suitable / total number of pairings: \[\frac{1004!}{\binom{2010}{1005} \cdot 1005!}=...
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    Another variant of a classic

    or directly, \[ E[\text{the last one}] = \sum_{k=1}^{\infty} \int_0^1 \int_0^{x_1} \dots \int_0^{x_{k-1}} \int_{x_k}^1 x_k\; d x_{k+1} d x_k \dots d x_1 \] and this is \[\sum_{k=1}^{\infty} \frac{1}{(k+1)!} - \frac{2}{(k+2)!} = (e-2) - 2(e - 2 - 1/2) = 3-e\]
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    Is the City closed for non-EU entry-level quants starting April 2011? - career advice

    @cgorac: thanks, man! at the moment i am finishing with writing my phd thesis i'm about to defend this summer, so that's the main focus for now. i am not in the job market yet, but planning ahead, it seems that i should forget about london unless i manage to get strongly recommended to someone...
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    Shopping

    correct. it is \(\sum_{k=1}^\infty \large(\frac{1}{k} - \frac{1}{k+1}\right)\cdot \large(N\cdot\large(\frac{1}{k} - \frac{1}{k+1}\right)\cdot \frac{k}{2}\right)\) one distinguishes cases depending on the number of articles bought (Pr in the first bracket) and computes the expected change in...
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    two teasers about ten-digit numbers

    3816547290 firs you figure 0, then 5. then 6-4 combo, then 2, then 8. these are forced. two possibilities for a7: 3 or 7, each of which gives 4 or 6 numbers to check.
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    UK - Final details of curbs on overseas students to be announced

    So, to conclude, here is what is the news: there used to be a route to getting a work-permit visa that allowed you to stay in UK, to search for a job, to get hired on the same terms as a UK national, to bring your dependents with you. And all of this after you do a UK degree. Now, all of this...
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    UK - Final details of curbs on overseas students to be announced

    The Border Agency page states something similar here. I'd say it is official now. Really bad news for non-EEA quant wannabees and also for the financial math programs all over UK.
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    UK - Final details of curbs on overseas students to be announced

    Hmmm... there are contradicting news on this. Bloomberg has announced yesterday something else
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    Poker Bots Invade Online Gambling

    No player wants to be bothered by stupid messages from the server. Plus, many if not all big servers are international and people do not necessarily have to be able to reply / understand the language. A generic 'me no understand' could be sent back to the server.
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    Poker Bots Invade Online Gambling

    It has to be a protocol rather than a 0/1 test. I would first look for deterministic behavior of the players. Unless randomness is explicitly enforced and sub-optimal plays allowed, a program *always* plays the same move given the same amount of time and the same configuration. Keyword is...
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    UK Govt to abolish student work visa

    Sure, but unlike any other profession, aspiring quants face extreme competition where an administrative hurdle such as the visa one easily throws them out of the game. IT people, for instance, do not have to worry so much, since there is a plenty of companies willing to sponsor visas for good...
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    UK Govt to abolish student work visa

    Well, according to the page 7 of the consultation report, Post Study Work route is about to be abolished. Consequently, I see no purpose in enrolling a UK financial math course if you are non-EU, since you will be required to go back to your home country after the graduation to apply for a...
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    two twos

    sure, was too lazy to check. (cosh(arcsinh(2)))^2 is fine.
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    two twos

    sqrt counts as another 2
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