Entries from 2022-10-16 to 1 day

Brachistochrone curve

sin(θ−α)/sinθ

numerical sequence

Σ ( −1)n・2n-1 = T.theodor 2022.10.16.

numerical sequence

Σ ( −1)n・2n−1 = T.theodor 2022.10.16.

numerical sequence

Σ ( −1)n2n = T.theodor 2022.10.16.

function

f(x) = axn+bxn-1+…z g(x) = a'xn+b'xn-1+…z' Intersection α≧0 T.theodor 2022.10.16.

function

f(x) = ax3+bx2+cx+d g(x) = ex2+fx+g Intersection α≧1 T.theodor 2022.10.16.

function

f(x) = ax3+bx2+cx+d g(x) = ex2+fx+g Intersection α≧1 T.theodor 2022.10.16.

function

f(x) = ax2+bx+c g(x) = dx2+ex+f Intersection 2 b2−2be+e2−4(ac−af−dc+df)>0 Intersection 1 b2−2be+e2−4(ac−af−dc+df)=0 a≧d bd=ae b2d−e2a−4a(cd−df)=0 Intersection 0 a≧d b2d−e2a−4a(cd−df)>0 b2−2be+e2−4(ac−af−dc+df)<0 T.theodor 2022.10.16.

function

y = ax+b y = cx+d a=c 以外必ズ交点1点ヲ持ツ。 T.theodor 2022.10.16.