From 8dc531ac53ae1b085482c9f1bda6001ca803c164 Mon Sep 17 00:00:00 2001 From: Kuster Yanik Date: Tue, 2 Aug 2022 21:14:53 +0200 Subject: Created python files for graphics. Created addtional subsection verlockende Intuition --- .../Bilder/lambertAbstandBauchgef\303\274hl.py" | 58 ++++++++++++++++++++++ 1 file changed, 58 insertions(+) create mode 100644 "buch/papers/lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" (limited to 'buch/papers/lambertw/Bilder/lambertAbstandBauchgefühl.py') diff --git "a/buch/papers/lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" "b/buch/papers/lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" new file mode 100644 index 0000000..9031bfc --- /dev/null +++ "b/buch/papers/lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" @@ -0,0 +1,58 @@ +# -*- coding: utf-8 -*- +""" +Created on Sun Jul 31 13:32:53 2022 + +@author: yanik +""" + +import numpy as np +import matplotlib.pyplot as plt +import scipy.special as sci + +W = sci.lambertw + + +t = np.linspace(0, 1.2, 1000) +x0 = 1 +y0 = 1 + +r0 = np.sqrt(x0**2+y0**2) +chi = (r0+y0)/(r0-y0) + +x = x0*np.sqrt(1/chi*W(chi*np.exp(chi-4*t/(r0-y0)))) +eta = (x/x0)**2 +y = 1/4*((y0+r0)*eta+(y0-r0)*np.log(eta)-r0+3*y0) + +ymin= (min(y)).real +xmin = (x[np.where(y == ymin)][0]).real + + +#Verfolger +plt.plot(x, y, 'r--') +plt.plot(xmin, ymin, 'bo', markersize=10) + +#Ziel +plt.plot(np.zeros_like(t), t, 'g--') +plt.plot(0, ymin, 'bo', markersize=10) + + +plt.plot([0, xmin], [ymin, ymin], 'k--') +#plt.xlim(-0.1, 1) +#plt.ylim(1, 2) +#plt.ylabel("y") +#plt.xlabel("x") +plt.grid(True) +plt.quiver(xmin, ymin, -0.2, 0, scale=1) + +plt.text(xmin+0.1, ymin-0.1, "Verfolgungskurve", size=20, rotation=20, color='r') +plt.text(0.01, 0.02, "Fluchtkurve", size=20, rotation=90, color='g') + +plt.rcParams.update({ + "text.usetex": True, + "font.family": "serif", + "font.serif": ["New Century Schoolbook"], +}) + +plt.text(xmin-0.11, ymin-0.12, r"$\dot{v}$", size=30) +plt.text(xmin-0.02, ymin+0.05, r"$V$", size=30, c='b') +plt.text(0.02, ymin+0.05, r"$Z$", size=30, c='b') \ No newline at end of file -- cgit v1.2.1 From ded30e493c1b05f1f412f2e78636d7195ea054e0 Mon Sep 17 00:00:00 2001 From: Kuster Yanik Date: Thu, 4 Aug 2022 21:24:11 +0200 Subject: added new subsection wird das Ziel erreicht? --- .../lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) (limited to 'buch/papers/lambertw/Bilder/lambertAbstandBauchgefühl.py') diff --git "a/buch/papers/lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" "b/buch/papers/lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" index 9031bfc..3a90afa 100644 --- "a/buch/papers/lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" +++ "b/buch/papers/lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" @@ -39,8 +39,8 @@ plt.plot(0, ymin, 'bo', markersize=10) plt.plot([0, xmin], [ymin, ymin], 'k--') #plt.xlim(-0.1, 1) #plt.ylim(1, 2) -#plt.ylabel("y") -#plt.xlabel("x") +plt.ylabel("y") +plt.xlabel("x") plt.grid(True) plt.quiver(xmin, ymin, -0.2, 0, scale=1) @@ -53,6 +53,6 @@ plt.rcParams.update({ "font.serif": ["New Century Schoolbook"], }) -plt.text(xmin-0.11, ymin-0.12, r"$\dot{v}$", size=30) -plt.text(xmin-0.02, ymin+0.05, r"$V$", size=30, c='b') -plt.text(0.02, ymin+0.05, r"$Z$", size=30, c='b') \ No newline at end of file +plt.text(xmin-0.11, ymin-0.08, r"$\dot{v}$", size=20) +plt.text(xmin-0.02, ymin+0.05, r"$V$", size=20, c='b') +plt.text(0.02, ymin+0.05, r"$Z$", size=20, c='b') \ No newline at end of file -- cgit v1.2.1 From 9b9ef5890fe375831f015e2a42ca719c102cadd9 Mon Sep 17 00:00:00 2001 From: Kuster Yanik Date: Sat, 6 Aug 2022 15:26:51 +0200 Subject: Removed unused pictures. Applied last changes to teil0 and teil1. --- .../lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" | 10 +++++++--- 1 file changed, 7 insertions(+), 3 deletions(-) (limited to 'buch/papers/lambertw/Bilder/lambertAbstandBauchgefühl.py') diff --git "a/buch/papers/lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" "b/buch/papers/lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" index 3a90afa..73b322c 100644 --- "a/buch/papers/lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" +++ "b/buch/papers/lambertw/Bilder/lambertAbstandBauchgef\303\274hl.py" @@ -39,9 +39,11 @@ plt.plot(0, ymin, 'bo', markersize=10) plt.plot([0, xmin], [ymin, ymin], 'k--') #plt.xlim(-0.1, 1) #plt.ylim(1, 2) -plt.ylabel("y") -plt.xlabel("x") + plt.grid(True) +plt.tick_params(labelsize=15) +#plt.xticks(ticks=range(0, 7)) +#plt.yticks(ticks=range(0, 7)) plt.quiver(xmin, ymin, -0.2, 0, scale=1) plt.text(xmin+0.1, ymin-0.1, "Verfolgungskurve", size=20, rotation=20, color='r') @@ -55,4 +57,6 @@ plt.rcParams.update({ plt.text(xmin-0.11, ymin-0.08, r"$\dot{v}$", size=20) plt.text(xmin-0.02, ymin+0.05, r"$V$", size=20, c='b') -plt.text(0.02, ymin+0.05, r"$Z$", size=20, c='b') \ No newline at end of file +plt.text(0.02, ymin+0.05, r"$Z$", size=20, c='b') +plt.ylabel(r"$y$", size=20) +plt.xlabel(r"$x$", size=20) \ No newline at end of file -- cgit v1.2.1