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  1. interview question: Urban Planning

    interview question: Urban Planning

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  3. An ant and a blind spider are on opposite corners of a cube

    An ant and a blind spider are on opposite corners of a cube

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  4. Google Interview 25 Horses 5 track

    Google Interview 25 Horses 5 track

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  5. sum of random variables uniform distribution and its pdf, cdf

    sum of random variables uniform distribution and its pdf, cdf

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  6. Probability interview(hard): Basketball what is the probability that she scores exactly 50 baskets

    Probability interview(hard): Basketball what is the probability that she scores exactly 50 baskets

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  7. interview question: dice 3 times payoff

    interview question: dice 3 times payoff

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  8. interview question A bug crawls along the edges of a regular tetrahedron

    interview question A bug crawls along the edges of a regular tetrahedron

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  9. probability question sum of two numbers is a perfect square

    probability question sum of two numbers is a perfect square

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  10. hard probability question x i+x i+1 less than 1 in higher dimension

    hard probability question x i+x i+1 less than 1 in higher dimension

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  11. Find Average number of updates needed to find maximum number in an array

    Find Average number of updates needed to find maximum number in an array

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  12. probability interview x/y is closest to even

    probability interview x/y is closest to even

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  13. The existence proof of eigenvectors and eigenvalues

    The existence proof of eigenvectors and eigenvalues

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  14. Integral of 1/(1+x^2)^2 (substitution)

    Integral of 1/(1+x^2)^2 (substitution)

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  15. Very funny math question solve x for x^x^n=n

    Very funny math question solve x for x^x^n=n

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  18. Prove Method of infinite Descent : square 2 is irrational

    Prove Method of infinite Descent : square 2 is irrational

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  19. Prove Method of infinite Descent : no nontrivial solutions x^2+y^2=3z^2

    Prove Method of infinite Descent : no nontrivial solutions x^2+y^2=3z^2

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  20. Prove Method of infinite Descent (Vieta's jumping) : (4a^2-1)^2/(4ab-1) is integer, then a=b

    Prove Method of infinite Descent (Vieta's jumping) : (4a^2-1)^2/(4ab-1) is integer, then a=b

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  21. Prove Method of infinite Descent : square k is irrational if k is not square free

    Prove Method of infinite Descent : square k is irrational if k is not square free

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  22. sinx+sin2x+sin3x+...+sin nx, cosx+cos2x+cos3x+cos 4 x+...+cos nx

    sinx+sin2x+sin3x+...+sin nx, cosx+cos2x+cos3x+cos 4 x+...+cos nx

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  23. Prove Method of infinite Descent (Vieta's jumping) : (a^2+b^2)/(ab+1) is square, imo1988

    Prove Method of infinite Descent (Vieta's jumping) : (a^2+b^2)/(ab+1) is square, imo1988

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  24. Normal subgroup and quotient subgroup

    Normal subgroup and quotient subgroup

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  25. There exist distinct integers x,y,z for which, x^2+y^2+z^2=14^n

    There exist distinct integers x,y,z for which, x^2+y^2+z^2=14^n

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