Brouwer's Fixed Point Theorem

Пікірлер: 6

  • @timlee8717
    @timlee8717 Жыл бұрын

    Excellent explanations. Thank you very much.

  • @venkateshduduka6920
    @venkateshduduka6920 Жыл бұрын

    Thank you Sir. Which device is used to prepare the class.

  • @enkii82
    @enkii829 ай бұрын

    At 05:20 it should be red if f(x) >= x and blue if f(x)

  • @knuddelig5304
    @knuddelig5304 Жыл бұрын

    3:10 what if f(x) is parallel to h(x)=x then there will never be an f(x)=x. What is the error in my thinking?

  • @compscilessons

    @compscilessons

    Жыл бұрын

    A parallel line to h(x)=x would have to be either completely above x or completely below x. If it is completely above, the function value at 1 would be strictly larger than 1 and this is not allowed. The function has to map from [0,1] to [0,1]. If it is completely below, the function value at 0 would be strictly smaller than 0 and this is also not allowed.

  • @timlee8717
    @timlee8717 Жыл бұрын

    😃😃😃