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Rect-Window.ipynb.orig
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Rect-Window.ipynb.orig
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{
"metadata": {
"name": "",
"signature": "sha256:168a7718ec459ff39e0b0f4108dc6e142793b3dd4ba30aa1004476de855d0998"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"def rectwindow(freq1, freq2, f_sample=10, width=1, sig=.1): #f_sample in kHz und width ist der Anteil des Fensters am Gesamtsignal (1 heisst, kein Fenster)\n",
" \"Erstellt einen Rechteckfenster-Frequenz\u00fcbergang freq1 auf freq2 mit Signall\u00e4nge 2*sig (in s) und entsprechende FFT\"\n",
" freq1, freq2, width = float(freq1), float(freq2), float(width)\n",
" f_sample = f_sample*1000.\n",
" #print \"Samplingfrequenz:\", f_sample/1000, \"kHz\"\n",
<<<<<<< HEAD
" f1 = tile(concatenate((ones(f_sample/(2*freq1)), zeros(f_sample/(2*freq1))), axis=1), sig*freq1)\n",
" f2 = tile(concatenate((ones(f_sample/(2*freq2)), zeros(f_sample/(2*freq2))), axis=1), sig*freq2)\n",
=======
" f1 = tile(concatenate((ones(f_sample/(2*freq1)), zeros(f_sample/(2*freq1))), axis=1), sig*freq1) #erste Frequenz\n",
" f2 = tile(concatenate((ones(f_sample/(2*freq2)), zeros(f_sample/(2*freq2))), axis=1), sig*freq2) #zweite Frequenz\n",
>>>>>>> 3ff5290e0b8ed017db1d97521df5cbce5f9e31c8
" f = concatenate((f1, f2), axis=1)-0.5\n",
" window = concatenate((zeros(((width-1)/(2*width))*f.size), ones(f.size/width)), axis=1)\n",
" window = concatenate((window, zeros(((width-1)/(2*width))*f.size)), axis=1)\n",
" window = concatenate((window, zeros(f.size-window.size)), axis=1)\n",
" f = f*window\n",
" xaxis = linspace(0, 2*sig, f.size)\n",
<<<<<<< HEAD
" #xaxis = arange(0, 2.*sig, 1./f.size)\n",
" #figure(figsize=(10,3))\n",
" #plot(xaxis, f)\n",
" plt.xlabel('t in Sekunden', fontsize=15)\n",
" plt.ylabel('Stimulus', fontsize=15)\n",
" #plt.xticks([0, 0.05, 0.1], [0,1,2])\n",
" #plt.yticks([-0.5, 0.5], ['aus', 'an'])\n",
" #plt.title('Eingangssignal Flicker 200->700Hz')\n",
" #plt.ylim(-1,1)\n",
" #plt.xlim(0,0.1)\n",
" plt.tight_layout()\n",
" #plt.savefig(\"signalsim.pdf\")\n",
" #figure(figsize=(10,2))\n",
=======
" figure(figsize=(10,3))\n",
" plot(xaxis, f)\n",
" plt.xlabel('t in s')\n",
" plt.ylabel('Amplitude')\n",
" plt.ylim(-1,1)\n",
" plt.xlim(4,6)\n",
" figure(figsize=(10,2))\n",
>>>>>>> 3ff5290e0b8ed017db1d97521df5cbce5f9e31c8
" FTdata = fft.fft(f)/f.size\n",
" FT = FTdata[:(FTdata.size/2)]\n",
" integral = sum(abs(FT[:1000]))\n",
" print str(freq1) + \" \" + str(freq2) + \" \" + str(integral)\n",
" faxis = fft.fftfreq(f.size, (1./f_sample))\n",
<<<<<<< HEAD
" #faxis = faxis[:(faxis.size/2)]\n",
" #plot(faxis[0:600], abs(FT)[0:600])\n",
" plt.xlabel('Frequenz in Hz', fontsize=15)\n",
" #plt.xlim(0,40)\n",
" #plt.ylim(0,.0005)\n",
" plt.ylabel('Amplitude', fontsize=15)\n",
" plt.yticks([0, 0.0003])\n",
" plt.tight_layout()\n",
" #plt.savefig('zacken_200_400.pdf')\n",
" #print abs(FT[:101])\n",
" integral = sum(abs(FT)[:600])\n",
" #print integral\n",
" #figure()\n",
" #plt.psd(f, f.size/2, f_sample)\n",
" #plt.xlim(0, 800)\n",
" return FTdata, xaxis, faxis, integral;\n",
=======
" plot(faxis[0:500], abs(FT)[0:500]) #hier das xlim fuer den Plot anpassen\n",
" plt.xlabel('Freq in Hz')\n",
" plt.ylabel('Amplitude')\n",
" plt.tight_layout()\n",
" #plt.savefig('200_200.pdf')\n",
" figure()\n",
" plt.psd(f, f.size/2, f_sample)\n",
" plt.xlim(0, 800)\n",
" return f, xaxis, faxis;\n",
>>>>>>> 3ff5290e0b8ed017db1d97521df5cbce5f9e31c8
"\n",
"print \"Integrale:\"\n",
"for i in [200,300,400,500,600,700,800]:\n",
" rectwindow(200,i,168.,1,5.)\n",
"\n",
"\n",
"\n",
"'''\n",
<<<<<<< HEAD
"rectwindow(128, 128, 16.384, 10, 5.) #2er-Potenzen mit 1Hz pro bin\n",
"rectwindow(128, 512, 16.384, 10, 5.)\n",
=======
"rectwindow(200, 400, 20, 10, 5.)\n",
"rectwindow(200, 500, 20, 10, 5.)\n",
"'''\n",
"\n",
"\n",
"\n",
"\n",
>>>>>>> 3ff5290e0b8ed017db1d97521df5cbce5f9e31c8
"\n",
"rectwindow(200, 400, 24, 1., 1.)\n",
"#rectwindow(300, 400, 24, 10., 5.)\n",
"'''\n",
"\n",
"\n",
"\n",
"integrals200 = []\n",
"integrals400 = []\n",
"integrals600 = []\n",
"integrals800 = []\n",
"freqs = [200,300,400,500,600,700,800]\n",
"\n",
"for i in freqs:\n",
" x = rectwindow(200,i,168,1.,3.)\n",
" integrals200.append(x[3])\n",
" \n",
"for i in freqs:\n",
" x = rectwindow(400,i,168,1.,3.)\n",
" integrals400.append(x[3])\n",
" \n",
"for i in freqs:\n",
" x = rectwindow(600,i,168,1.,3.)\n",
" integrals600.append(x[3])\n",
" \n",
"for i in freqs:\n",
" x = rectwindow(800,i,168,1.,3.)\n",
" integrals800.append(x[3])\n",
" \n",
"x = arange(7)\n",
"figure(figsize=(10,6))\n",
"\n",
"plot(x, integrals200, marker='o', label='200 Hz')\n",
"plot(x, integrals400, marker='o', label='400 Hz')\n",
"plot(x, integrals600, marker='o', label='600 Hz')\n",
"plot(x, integrals800, marker='o', label='800 Hz')\n",
"plt.xticks(arange(7), freqs)\n",
"plt.xlim(-.2, 6.2)\n",
"plt.yticks([0,.02,.04])\n",
"plt.xlabel('Frequenz in Hz', fontsize=15)\n",
"plt.ylabel('Amplitude', fontsize=15)\n",
"plt.legend(loc='best')\n",
"plt.tight_layout()\n",
"plt.savefig(\"integrals.pdf\")\n",
"\n",
"\n",
"\n",
"\n",
"'''\n",
"# Was passiert bei der iFFT? Mit lowpass und bandpass\n",
"# oben in der Funktion Normierung auskommentieren!! wegen R\u00fccktransformation: Asymmetrie siehe fft doc\n",
"\n",
"\n",
"FT1, t, f = rectwindow(200,400,24.,1.,5.)\n",
"FT2, t, f = rectwindow(200,600,24.,1.,5.)\n",
"FT3, t, f = rectwindow(200,800,24.,1.,5.)\n",
"x = arange(0,.12,.001)\n",
"y = .005*(((x**3)/(.005**4))*exp(-x/.005)-((x**3)/(.01**4))*exp(-x/.01))\n",
"Y = abs(fft.fft(y, 1000)/21.6)[:300]\n",
"Y = concatenate((Y, zeros(FT.size-300)))\n",
"#signal = fft.ifft(abs(FT1)*Y)\n",
"figure(figsize=(10,6))\n",
"plot(t, fft.ifft(abs(FT1)*Y), label='200Hz, 400Hz')\n",
"plot(t, fft.ifft(abs(FT2)*Y), label='200Hz, 600Hz')\n",
"plot(t, fft.ifft(abs(FT3)*Y), label='200Hz, 800Hz')\n",
"plt.xticks(range(10))\n",
"plt.xlim(4,6)\n",
"plt.ylim(-.0015, .0003)\n",
"plt.grid()\n",
"plt.legend(loc='lower right')\n",
"plt.xlabel('t in Sekunden', fontsize=15)\n",
"plt.ylabel('Amplitude', fontsize=15)\n",
"plt.tight_layout()\n",
"#plt.savefig(\"ifft.pdf\")\n",
"\n",
"'''\n",
"\n",
"'''\n",
"#lowpass = zeros((1,504000))\n",
"#lowpass[0,0:680] = c[0:680]\n",
"#lowpass[0,502000:] = c[502000:]\n",
"\n",
"sig = fft.ifft(lowpass*c.shape)\n",
"figure()\n",
"plot(x, real(sig[0,:]))\n",
"plt.title('Lowpass-iFFT Flicker 200->700Hz')\n",
"plt.xlabel('t in s')\n",
"plt.ylabel('Amplitude')\n",
"plt.xlim(5.7,6)\n",
"'''\n",
"'''\n",
"figure()\n",
"\n",
"bandpass = concatenate((signal.tukey(800, sym=False), zeros(501081)), axis=1)\n",
"bandpass = concatenate((bandpass, signal.tukey(800, sym=False)), axis=1)\n",
"bandpass = abs(c)*bandpass\n",
"\n",
"sig = fft.ifft(bandpass*c.shape)\n",
"figure()\n",
"plot(x, real(sig))\n",
"plt.title('bandpass-iFFT Flicker 200->700Hz')\n",
"plt.xlabel('t in s')\n",
"plt.xlim(5,7)\n",
"#plt.ylim(-0.005, 0.005)\n",
"'''\n",
"\n",
"\n",
"'''\n",
"figure()\n",
"autocorr = correlate(sig[0,240000:260000], sig[0,240000:260000], mode='full')\n",
"u = arange(0, autocorr.size)\n",
"plot(u[20000:24000], autocorr[20000:24000])\n",
"plt.title('Autocorrelation')\n",
"\n",
"\n",
"figure()\n",
"plot(f[:1500], abs(a[:1500]), label=('200Hz'))\n",
"plt.title('200Hz FFT')\n",
"figure()\n",
"#plot(f[:500], abs(b[:500]), label=('700Hz'))\n",
"plot(f[:500], real(c[:500]), label=('real'))\n",
"plot(f[:500], imag(c[:500]), label=('imag'))\n",
"plot(f[:500], abs(c[:500]), label=('abs'))\n",
"pylab.legend(loc='upper right')\n",
"plt.title('FFT-Spektren im niedrigen Frequenzbereich')\n",
"plt.xlabel('Frequenz in Hz')\n",
"plt.ylabel('Amplitude')\n",
"'''"
],
"language": "python",
"metadata": {},
"outputs": [
{
<<<<<<< HEAD
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"\"\\nfigure()\\nautocorr = correlate(sig[0,240000:260000], sig[0,240000:260000], mode='full')\\nu = arange(0, autocorr.size)\\nplot(u[20000:24000], autocorr[20000:24000])\\nplt.title('Autocorrelation')\\n\\n\\nfigure()\\nplot(f[:1500], abs(a[:1500]), label=('200Hz'))\\nplt.title('200Hz FFT')\\nfigure()\\n#plot(f[:500], abs(b[:500]), label=('700Hz'))\\nplot(f[:500], real(c[:500]), label=('real'))\\nplot(f[:500], imag(c[:500]), label=('imag'))\\nplot(f[:500], abs(c[:500]), label=('abs'))\\npylab.legend(loc='upper right')\\nplt.title('FFT-Spektren im niedrigen Frequenzbereich')\\nplt.xlabel('Frequenz in Hz')\\nplt.ylabel('Amplitude')\\n\""
=======
"output_type": "stream",
"stream": "stdout",
"text": [
"Integrale:\n",
"200.0 200.0 3.36892526332e-16"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"200.0 300.0 0.0245319897898"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"200.0 400.0 0.0357524513368"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"200.0 500.0 0.0422778185501"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"200.0 600.0 0.0465640092851"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"200.0 700.0 0.0496003815586"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"200.0 800.0 0.0518661022598"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"\"\\n# Was passiert bei der iFFT? Mit lowpass und bandpass\\n\\n\\na, x, f = rectwindow(200,200,42,1,6)\\nfigure()\\nb, x, f = rectwindow(700,700,42,1,6)\\nfigure()\\nc, x, f = rectwindow(200,700,42,1,6)\\n\\n\\n\\n\\nlowpass = zeros((1,502681))\\nlowpass[0,0:680] = c[0:680]\\nlowpass[0,502000:] = c[502000:]\\n\\nsig = fft.ifft(lowpass*c.shape)\\nfigure()\\nplot(x, real(sig[0,:]))\\nplt.title('Lowpass-iFFT Flicker 200->700Hz')\\nplt.xlabel('t in s')\\nplt.ylabel('Amplitude')\\nplt.xlim(5.7,6)\\n\\nfigure()\\n\\nbandpass = concatenate((signal.tukey(800, sym=False), zeros(501081)), axis=1)\\nbandpass = concatenate((bandpass, signal.tukey(800, sym=False)), axis=1)\\nbandpass = abs(c)*bandpass\\n\\nsig = fft.ifft(bandpass*c.shape)\\nfigure()\\nplot(x, real(sig))\\nplt.title('bandpass-iFFT Flicker 200->700Hz')\\nplt.xlabel('t in s')\\nplt.xlim(5,7)\\n#plt.ylim(-0.005, 0.005)\\n\\n\\n\\n\\nfigure()\\nautocorr = correlate(sig[0,240000:260000], sig[0,240000:260000], mode='full')\\nu = arange(0, autocorr.size)\\nplot(u[20000:24000], autocorr[20000:24000])\\nplt.title('Autocorrelation')\\n\\n\\nfigure()\\nplot(f[:1500], abs(a[:1500]), label=('200Hz'))\\nplt.title('200Hz FFT')\\nfigure()\\n#plot(f[:500], abs(b[:500]), label=('700Hz'))\\nplot(f[:500], real(c[:500]), label=('real'))\\nplot(f[:500], imag(c[:500]), label=('imag'))\\nplot(f[:500], abs(c[:500]), label=('abs'))\\npylab.legend(loc='upper right')\\nplt.title('FFT-Spektren im niedrigen Frequenzbereich')\\nplt.xlabel('Frequenz in Hz')\\nplt.ylabel('Amplitude')\\n\""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7f2f10052590>"
]
},
{
"metadata": {},
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d4Rapqal4+OGHMXDgQADA3r17sXfv3vKgNT8/H4mJibh16xbGjRuH\n5s2bo3nz5hg7dmx5xrc248aNAwB4e3sjNTW12ml69OihU6aFCxfqzPvQoUP4+uuvcejQIaO/LxFR\nQ8cgmYjISlq2bKnzfMGCBZgxY4bOaytWrNAJXA0JkAGgWbNmAOSEwZKSEqPLdvXqVUyfPh07d+6E\no6Oj0Z8nImroOCaZiMgGjBo1CuvWrUN+fj4AICMjA9evX4efnx+2b9+OwsJC3Lp1C7t27arxBDtD\nA2h9SkpK8OKLL+Ljjz+Gm5ubWeZJRNTQMJNMRFQPqgtsK782cuRInD9/HoMGDQIAtG7dGhs3boRS\nqcRf//pXeHl5wcnJCQMGDKgxGK4peDbmdYVCgcOHDyMuLg7vv/8+3n//fQDAnj170KlTp9q/JBHR\nfUShMVfqgYiILG7hwoVo1aoV5s+fb+2iEBHd1zjcgoiogeH1jImILI+ZZCIiIiKiKphJJiIiIiKq\ngkEyEREREVEVDJKJiIiIiKpgkExEREREVAWDZCIiIiKiKhgkExERERFV8f+YXBP5+i2p1AAAAABJ\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2f11464b50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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zAZ9oEFNb1gTpNI7jx4HyCz5VKhVkMm5e78cfhdOlD7G2J5/oDCRLlizBtGnT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\nwAlBAgBw8gPNzsIAp8AqzQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2f119ad4d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7f2f11c85090>"
]
},
{
"metadata": {},
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Rd1ZHEzJgs93CxPYu5YgcnAm5lREs9nedDlERM/aarIOznXSEIXD8YAeoT2oJ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\n/wcC88oMNz0ptgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2f118eaed0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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gZSWUAcDRUY2ff/aHm5v4+jTl2Fh/vPji03KDBkJgWb9eDaVSfH2VlTW2FFLR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\nREQcUSARERFHFEhERMQRBRIREXHkC2zdyZ8T3cwJAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2f11a5ccd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7f2f100ad090>"
]
},
{
"metadata": {},
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bZUFiUNUZNAadOociBj8nfr/tEOSCZbBjYCcyP6KEOjrR4gDwb7GgO3nxokKm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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2f12616550>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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DW+iYl5eHuLg4eHh4oGnTprC3t0d8fDyICBs3bsSAAQPMpkEMnv6mIhWio4Fe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\nRxRIRETEEQUSERFx5C8hR1lf6isb/wAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2f1178fe50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7f2f119e0fd0>"
]
},
{
"metadata": {},
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yXRcm11TprSL4rG1sAwJv01zZgdVT9OaMJNfdimS6aUvfPmnSXk3eFqPSS3U9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\nJ+KWW26peeVsqPv6A35FsW3d13uSbLLpScDBDdkGNQEHL9a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"text": [
"<matplotlib.figure.Figure at 0x7f2f12677250>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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hQ+FvadzdiUo5GEmCu3eJGjUiKikhun+fyM5OeM2Yjin3ToNNW3Xr1kVeXp4u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\n7AMNwwAAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2f1166be90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7f2f07b52050>"
]
},
{
"metadata": {},
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TWNjyr+36VG19YzoAVFc33MDENM4Un+KfS0rKcM015ejUKacd97Zu3YoHH3wQ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\nJIkiSI4UKVKkSJEiRYoUSaL/H24h8v/GAJRIAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2f11c3ba10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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NzUVOTg6WL18Od3d35OTk1GRGsyS146Z79wolJ549rKXO2batUHFViv+sUluX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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2f124dfad0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7f2f11a38190>"
]
},
{
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XdNqk7nYLX5E8depUjB8/Htu3bwcAPPLII/jc5z6nd7ZegCAdyLQtWTi0tcUn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\nWFhYWLhgRbKFhYWFhYWFhYWFC/8fSVBVacgsn84AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2f11a38090>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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2WAYxPP/NTyoiI4GQkGdtpVKJkBBhuVQvJCTVdfk8zqm/K1eEiroyGXDunBL1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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2f11439e10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7f2f07b88350>"
>>>>>>> 3ff5290e0b8ed017db1d97521df5cbce5f9e31c8
]
},
{
"metadata": {},
"output_type": "display_data",
<<<<<<< HEAD
"png": 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"text": [
"<matplotlib.figure.Figure at 0x11529ecd0>"
=======
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2sjYm7/21pfHXyMtQJL8wmyYVX7ZB1bSNK68q2xLpNawudLyatrGxSVu+ZOOb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\n/TjjjDNw1113nWhWPDw8PE4Z+OMWHh4eHqcB/PuMPTw8POzgK8keHh4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"text": [
"<matplotlib.figure.Figure at 0x7f2f126e6d90>"
>>>>>>> 3ff5290e0b8ed017db1d97521df5cbce5f9e31c8
]
},
{
"metadata": {},
"output_type": "display_data",
<<<<<<< HEAD
"png": 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h4sQlmQpjgPPnxxEWtpQXXlBhLCIiBYtbxbFlWQGWZX0F/Ap8BIwBKroujwNe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B9LGgHcAQwD5gCnR8S7kgYAt5H6jK8ATo2I+ZUUvgVIOhy4OCKOc51UKx//WfltP+BXEfHT3P/O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\nmZmZmWUOjs3MzMzMsv8C89Mz2GY8aOUAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1145d3290>"
]
}
],
"prompt_number": 5
=======
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kSLz66qv4/PPPjbqoLq+tcePGIS8vD56enggMDMTYsWPh8Xz6EHttmZ4rV4T8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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f2f1172fc90>"
]
}
],
"prompt_number": 15
>>>>>>> 3ff5290e0b8ed017db1d97521df5cbce5f9e31c8
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}