Murphy Sünnenwold StrangeGirlMurph
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StrangeGirlMurph
/ curves.nb
Last active
May 7, 2022 13:32
Visualisierung für beliebig parametrisierte Kurven
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| norm[x_] := Sqrt[Simplify[x . x]]; | |
| interval = 1.4; | |
| f[t_] = {t^2, t^3 - t}; (* Kurve *) | |
| v[t_] = D[f[t], t]; (* Geschwindigkeitsvektor *) | |
| V[t_] = norm[v[t]]; (* Geschwindigkeit *) | |
| a[t_] = D[v[t], t]; (* Beschleunigungsvektor *) | |
| T[t_] = v[t]/ |
StrangeGirlMurph
/ normalvectors.nb
Last active
May 3, 2022 08:04
Normalvector of curve - Mathematica
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| interval = 1.4; | |
| f[t_] = {t^2, t^3 - t} (* Kurve *) | |
| tf[t_] = D[f[t], t]; (* Tangentialvektor *) | |
| ntf[t_] = tf[t]/Sqrt[tf[t] . tf[t]]; (* Normierter Tangentialvektor *) | |
| af[t_] = D[ntf[t], t]; (* Normalvektor aber nicht normiert*) | |
| kf[t_] = Norm[af[t]]; (* Krümmung *) | |
| nf[t_] = af[t]/kf[t];(* Normalvektor *) |