Landau's license plate game (dau.etf.ba)

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    12 34 1 2 = 3 41 2 = 3! 4 12 = 3 4

    0 = 0

    [ ] { }

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    123412 =

    3 4 1 2 = 3! 4 12 = 3 4

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    x y

    ex lg e ln

    ex

    lg

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    tan2 x + 1 = sin2x+cos

    2x

    cos2 x= 1

    cos2 x= sec2 x

    f(n) = n + 1 = sec2 arctann

    n + 1 = sec arctan

    n

    tan x = 1x

    n + 1 = tan cos arctan

    n

    +,,, :,, lg, log03 02

    2 3

    6! = 720 720 = 2 360 n!360 n 6 sin n! = 0 n

    0 = 0

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    log2 2 = 1 log2 1 = 0 log2 4 = 20 = 0

    log2

    e lg ln ee

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    logyx y

    x