Benutzer:SprinterSB/Formeln

sin oder -sin in einer verrauschten Kurve finden

$$S(a,b) = \sum_{i=1}^n (f(x_i)-m(x_i))^2$$

---

$$\int_0^{2 \pi/b} |a\cdot\mathrm{sin}(b x) | \mathrm{d}x = 4 |a/b|$$

---

$$(f\star g)(x) = \int_{-\infty}^\infty f(y)\,g(x-y) \,dy \qquad \mathrm{Faltung\ von\ }f\mathrm{\ und\ }g$$

---

$$(f\star t)_n = \sum_{i=-K}^K t_i \cdot f_{n+i} \qquad\mathrm{mit}\qquad 1 = \sum_{i=-K}^K t_i$$

---

$$F(x,y) = \int_{x-y}^{x+y} f(t)\,dt$$