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    The volume of the n-dimensional ball (or n-ball), is given by:


    where is its radius and is the gamma function. Any even-dimensional ball has volume:


    and, summing up all the unit-ball (R=1) volumes of even-dimension gives:



    (Taken from Wikipedia). This is just awesome.
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    That every continuous function on a closed interval is bounded.


    JOKING, I don't believe real numbers exist lol
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    Euler's identity - it's simultaneous simplicity and yet underlying complexity is something to behold.
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    (Original post by BioChemWizard)
    Euler's identity - it's simultaneous simplicity and yet underlying complexity is something to behold.
    Too mainstream.
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    lol jk
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    A = π × r2

    all dem GCSE circle questions :love:
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    Pythagoras' theorem.
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    The Binomial Theorem
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    (Original post by IrrationalRoot)
    Too mainstream.
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    lol jk
    Okay, okay okay...


    Pythagoras.
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    Sylow's theorem.
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    (Original post by serah.exe)
    The Binomial Theorem
    I was considering that one too it blows my mind... And for negative exponents and rational and real exponents... It's a real peice of art... Love it
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    The result of Black-Scholes is really nice*
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    (Original post by EricPiphany)
    I was considering that one too it blows my mind... And for negative exponents and rational and real exponents... It's a real peice of art... Love it
    Great minds think alike.:ahee:
    And agreed. :yep:
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    Marden's Theorem:

    Suppose the zeroes z_1, z_2 and z_3 of a cubic p(z) are non-collinear. There is a unique ellipse inscribed in the triangle with vertices z_1, z_2, z_3 and tangent to the sides at their midpoint. The foci of that ellipse are the zeroes of the derivative p'(z).
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    Its not even a theorem but i bloody love the quadratic equation, i remember being so bloody proud knowing it off by heart.
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    (Original post by retro_turtles)
    Its not even a theorem but i bloody love the quadratic equation, i remember being so bloody proud knowing it off by heart.
    Lol it is a theorem though
    Like c squared = a squared + b squared
    Here's my favourite
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    You + me = forever
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    Fermat's last theorem.
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    (Original post by LonelyMathsBoy)
    Lol it is a theorem though
    Like c squared = a squared + b squared
    Here's my favourite
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    You + me = forever
    It is? huh well good thing i didn't pick maths at A level
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    smooth
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    The Picard–Lindelöf theorem
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    e^ipi + 1 = 0

    Euler's identity

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    (Original post by BioChemWizard)
    Euler's identity - it's simultaneous simplicity and yet underlying complexity is something to behold.

    Same. I love the eloquent manner in which you expressed this!
 
 
 
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