Entries from 2022-10-30 to 1 day

aer

combustionem ヨリ O2 ガ1番多イ。 T.theodor 2022.10.30.

limit

y=x2 L = 1 [0,1] T.theodor 2022.10.30.

function

y=sinθ x=cosθ x2+y2=sin2θ+cos2θ=1 y=√1−x2(−1≦x≦1) y=√1−cos2θ (360(n−1)°≦θ≦180(2n−1)°) y=−√1−(x−2)2 (1≦x≦3) y=−√1−cos2θ (180(2n−1)°≦θ≦360n°) T.theodor 2022.10.30.

function

y=sinθ x=cosθ x2+y2=sin2θ+cos2θ=1 y=√1−x2(−1≦x<1) y=√1−cos2θ (360(n−1)°≦θ<180(2n−1)°) y=−√1−x2(−1≦x<1) y=−√1−cos2θ(180(2n−1)°≦θ≦360n°) T.theodor 2022.10.30.

limit

lim Σ1/√ns√ns=1+(1+√2s)(1+Σ1/√ns√ps+Σ1/√ns√(n−p)s) =2+√2s+Σ1+√ps/p−1+Σ1+√n−ps/(n−p−1) =2+√22s−1/√ns√2s T.theodor 2022.10.30.