g_s(t)=g(t)\cdot e^{-s\;t}\
g_s(t)=\cos{t}\cdot e^{\frac{1}{5}t-s\;t}\

G(s)=\int_0^∞g_s(t,s){\rm d}t

Urbildbereich konkret

Urbildbereich

Einfluss von s

O: (0, 0)
A = (12, 3)
C = (13.716707046285665, 3)
D: (12.00067, 3.9)
ω = 1 (slider from -5 to 5)
a = 0.2 (slider from -5 to 5)
g(t) = (cos((ω * t)) * exp((a * t)))
r(t) = exp((a * t))
mr(t) = (-r(t))
f(t) = (cos(t) * ℯ^((1 / 5 * t)))
s = 0.3 (slider from -1 to 10, step 0.05)
g_s(t) = (cos(t) * exp((1 / 5 * t) - (s * t)))
r_s(t) = ℯ^(((1 / 5 - s) * t))
mr_s(t) = (-r_s(t))
r_k(t) = exp((1 / 5 * t))
mr_k(t) = (-r_k(t))