Re: [微積] 高斯符號積分

[Honor1984 (喬祺對我如此狠)]

※ 引述《xy210742 (Sam)》之銘言：
: 各位大大好
: 想請問有關高斯符號是怎樣積分呢
: 例如:積分[t^2] 範圍從0到2
: 希望大大可以解惑一下
: 感恩

[t^2] = 1 => 1 <= t^2 < 2

          => 1 <= t < sqrt(2)

[t^2] = 0 => 0 <= t^2 < 1

          => 0 <= t < 1

[t^2] = 2 => 2 <= t^2 < 3

          => sqrt(2) <= t < sqrt(3)

[t^2] = 3 => 3 <= t^2 < 4

          => sqrt(3) <= t < 2

 2
S [t^2]dt
 0

= sqrt(2) - 1 + 2[sqrt(3) - sqrt(2)] + 3[2 - sqrt(3)]

= 6 - sqrt(3) - sqrt(2) - 1

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→ keith291    : [t^2] = 2 or 3 範圍都還沒積到
謝謝，更正。
※ 編輯: Honor1984 (61.56.10.112), 05/05/2017 11:46:59