Mathematical Bunker

Mathematical Bunker

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    Vandermonde's identity about binomial coefficients | general mathematics | intermediate level
    10:46

    Vandermonde's identity about binomial coefficients | general mathematics | intermediate level

     43  views
    Hockey-stick identity | general mathematics | intermediate level
    10:24

    Hockey-stick identity | general mathematics | intermediate level

     40  views
    A surprising usage of derivatives to calculate certain sums of binomial coefficients | intermediate
    27:12

    A surprising usage of derivatives to calculate certain sums of binomial coefficients | intermediate

     34  views
    The sum of the binomial coefficients | general mathematics | intermediate level
    3:34

    The sum of the binomial coefficients | general mathematics | intermediate level

     30  views
    Binomial theorem | general mathematics | intermediate level
    22:28

    Binomial theorem | general mathematics | intermediate level

     32  views
    Pascal's formula about binomial coefficients | general mathematics | intermediate level
    10:19

    Pascal's formula about binomial coefficients | general mathematics | intermediate level

     43  views 1 comment
    Inverse Pythagorean theorem | plane geometry | intermediate level
    7:15

    Inverse Pythagorean theorem | plane geometry | intermediate level

     16  views 1 comment
    Droz-Farny line theorem | plane geometry | advanced level
    51:16

    Droz-Farny line theorem | plane geometry | advanced level

     29  views
    The special case of Miquel's theorem when points are collinear | plane geometry | intermediate level
    25:12

    The special case of Miquel's theorem when points are collinear | plane geometry | intermediate level

     24  views
    Reflections of line passing through orthocenter of triangle | plane geometry | intermediate level
    30:04

    Reflections of line passing through orthocenter of triangle | plane geometry | intermediate level

     40  views 1 comment
    De Longchamps theorem about perpendicular bisectors of angle bisectors | geometry | intermediate
    23:51

    De Longchamps theorem about perpendicular bisectors of angle bisectors | geometry | intermediate

     16  views 1 comment
    Brocard angles | plane geometry | intermediate level
    24:19

    Brocard angles | plane geometry | intermediate level

     14  views 1 comment
    Brocard points of a triangle | plane geometry | intermediate level
    16:19

    Brocard points of a triangle | plane geometry | intermediate level

     8  views 1 comment
    The Newton-Gauss line | plane geometry | intermediate level
    18:33

    The Newton-Gauss line | plane geometry | intermediate level

     8  views
    The Bevan point of a triangle | plane geometry | intermediate level
    20:40

    The Bevan point of a triangle | plane geometry | intermediate level

     34  views
    The proof of Napoleon's theorem using rotational homothety | plane geometry | advanced level
    19:52

    The proof of Napoleon's theorem using rotational homothety | plane geometry | advanced level

     42  views 2 comments
    Napoleon's theorem | plane geometry | intermediate level
    25:58

    Napoleon's theorem | plane geometry | intermediate level

     22  views
    The second Fermat-Torricelli point of a triangle | plane geometry | intermediate level
    22:38

    The second Fermat-Torricelli point of a triangle | plane geometry | intermediate level

     19  views
    The first Fermat-Torricelli point of a triangle | plane geometry | intermediate level
    23:12

    The first Fermat-Torricelli point of a triangle | plane geometry | intermediate level

     18  views
    Reflections of foot of altitude of triangle with respect to sides | plane geometry | intermediate
    16:43

    Reflections of foot of altitude of triangle with respect to sides | plane geometry | intermediate

     18  views
    Logarithmic derivative | mathematical analysis | advanced level
    13:50

    Logarithmic derivative | mathematical analysis | advanced level

     20  views 1 comment
    Arithmetic logarithmic derivative | number theory | advanced level
    17:12

    Arithmetic logarithmic derivative | number theory | advanced level

     17  views
    Arithmetic partial derivative | number theory | advanced level
    35:25

    Arithmetic partial derivative | number theory | advanced level

     22  views
    Quotient rule and extending arithmetic derivative to rational numbers | number theory | advanced
    33:56

    Quotient rule and extending arithmetic derivative to rational numbers | number theory | advanced

     5  views
    Extending the arithmetic derivative to negative numbers | number theory | advanced level
    17:38

    Extending the arithmetic derivative to negative numbers | number theory | advanced level

     25  views 1 comment