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Diffusion
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Diffusion" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"imports" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 187, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from numpy import array, linspace, exp, zeros, diff, pi\n", | |
"from numpy import log as ln, log10, unique, interp, empty_like\n", | |
"from scipy.integrate import odeint, ode\n", | |
"from scipy.special import erf\n", | |
"from matplotlib import pyplot as plt\n", | |
"from sympy import symbols, roots" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Stefan-Maxwell-Ansatz" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Skript 16.1 Hydrierung von Benzol\n", | |
"\n", | |
"$\\begin{array}{cccc}\n", | |
"C_6H_6&+3 H_2 & \\rightarrow & C_6H_{12}\\\\\n", | |
"1 & 2 & & 3\n", | |
"\\end{array}$\n", | |
"\n", | |
"$\\begin{array}{cccc}\n", | |
"\\frac{d \\widetilde{y}_1}{d \\zeta}= & & \n", | |
"\\frac{1}{\\delta_{12}}\\cdot(\\widetilde{y}_1 \\dot{r}_2-\\widetilde{y}_2 \\dot{r}_1) & +\n", | |
"\\frac{1}{\\delta_{13}}\\cdot(\\widetilde{y}_1 \\dot{r}_3-\\widetilde{y}_3 \\dot{r}_1) \\\\\n", | |
"\\frac{d \\widetilde{y}_2}{d \\zeta}=& \n", | |
"\\frac{1}{\\delta_{21}}\\cdot(\\widetilde{y}_2 \\dot{r}_1-\\widetilde{y}_1 \\dot{r}_2) & & +\n", | |
"\\frac{1}{\\delta_{23}}\\cdot(\\widetilde{y}_2 \\dot{r}_3-\\widetilde{y}_3 \\dot{r}_2)\\\\\n", | |
"\\frac{d \\widetilde{y}_3}{d \\zeta}=& \n", | |
"\\frac{1}{\\delta_{31}}\\cdot(\\widetilde{y}_3 \\dot{r}_1-\\widetilde{y}_1 \\dot{r}_3) & +\n", | |
"\\frac{1}{\\delta_{32}}\\cdot(\\widetilde{y}_3 \\dot{r}_2-\\widetilde{y}_2 \\dot{r}_3)\\\\\n", | |
"\\end{array}$\n", | |
"\n", | |
"Randbedingungen: \n", | |
"\n", | |
"$\\widetilde{y}_{1, \\infty}=0,3 ; \\widetilde{y}_{2, \\infty}=0,7$ (stöchiometrisches Verhältnis bis Überschuss von H_2)\n", | |
"\n", | |
"$\\widetilde{y}_{1, Ph}=0$ (diffusionslimitiert, schnelle Reaktion) \n", | |
"\n", | |
"Ferner \n", | |
"\n", | |
"$\\{\\delta_{12}=\\delta_{21};\\delta_{23}=\\delta_{32}\\}=\n", | |
"10\\cdot \\{\\delta_{13}=\\delta_{31}\\}$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc6d28160>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"r1, r2, r3 = [0.33, 1, -0.33]\n", | |
"d21 = d12 = d23 = d32 = 1e-5 # m^2/s\n", | |
"d13 = d31 = 1/10 * d12\n", | |
"y0 = [0.3, 0.7, 0]\n", | |
"\n", | |
"zeta = linspace(0,2.5e-6, 40)\n", | |
"\n", | |
"def dy_dzeta(y, t):\n", | |
" y1, y2, y3 = y\n", | |
" return array([\n", | |
" 1/d12*(y1*r2 - y2*r1) + 1/d13*(y1*r3 - y3*r1),\n", | |
" 1/d21*(y2*r1 - y1*r2) + 1/d23*(y2*r3 - y3*r2),\n", | |
" 1/d31*(y3*r1 - y1*r3) + 1/d32*(y3*r2 - y2*r3),\n", | |
" ])\n", | |
"\n", | |
"soln = odeint(dy_dzeta, y0, zeta)\n", | |
"lines = plt.plot(zeta, soln)\n", | |
"lines[0].set_label(r'$y_{C_6H_6}$')\n", | |
"lines[1].set_label(r'$y_{H_2}$')\n", | |
"lines[2].set_label(r'$y_{C_{6}H_{12}}$')\n", | |
"plt.xlabel(r'$\\zeta \\quad [-]$')\n", | |
"plt.ylabel(r'$y \\quad [-]$')\n", | |
"plt.title('Skript 16.1.1')\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### 20140310 Oxidation von Kohlenstoff zu CO\n", | |
"\n", | |
"$\\begin{array}{cccc}\n", | |
"O_2&+C & \\rightarrow & 2 CO\\\\\n", | |
"1 & 2 & & 3\n", | |
"\\end{array}$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc746eb70>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"r1, r2, r3 = [-1, 2, 0]\n", | |
"d21 = d12 = d23 = d32 = 1e-5 # m^2/s\n", | |
"d13 = d31 = 1/1 * d12\n", | |
"y0 = [0, 2/3, 1/3]\n", | |
"\n", | |
"zeta = linspace(0,2.5e-6*2, 40)\n", | |
"\n", | |
"def dy_dzeta(t, y):\n", | |
" y1, y2, y3 = y\n", | |
" return array([\n", | |
" 1/d12*(y1*r2 - y2*r1) + 1/d13*(y1*r3 - y3*r1),\n", | |
" 1/d21*(y2*r1 - y1*r2) + 1/d23*(y2*r3 - y3*r2),\n", | |
" 1/d31*(y3*r1 - y1*r3) + 1/d32*(y3*r2 - y2*r3),\n", | |
" ])\n", | |
"\n", | |
"soln = ode(dy_dzeta).set_initial_value(y0)\n", | |
"i=0\n", | |
"dzeta = diff(zeta)[0]\n", | |
"y = zeros([len(zeta), 3])\n", | |
"y[0] = y0\n", | |
"while soln.successful() and i < zeta.size-1 and (y>=0).all():\n", | |
" i+=1\n", | |
" soln.integrate(soln.t+dzeta)\n", | |
" y[i] = soln.y\n", | |
"\n", | |
"plt.figure(figsize=[10,10])\n", | |
"lines = plt.plot(zeta[:i+1], y[:i+1], 'o', fillstyle='none')\n", | |
"plt.plot(zeta[:i+1], r1-exp(zeta[:i+1]/d12)*(r1-y0[0]), '-', color=lines[0].get_color(), \n", | |
" label=r'$\\widetilde{y}_{1,S}=\\dot{r}_1-exp\\left(\\frac{\\zeta}{\\delta} \\right)(\\dot{r}_1-\\widetilde{y}_{1,Ph})$')\n", | |
"plt.plot(zeta[:i+1], r2-exp(zeta[:i+1]/d12)*(r2-y0[1]), '-', color=lines[1].get_color(),\n", | |
" label=r'$\\widetilde{y}_{2,S}=\\dot{r}_2-exp\\left(\\frac{\\zeta} {\\delta} \\right)(\\dot{r}_2-\\widetilde{y}_{2,Ph})$')\n", | |
"plt.plot(zeta[:i+1], r3-exp(zeta[:i+1]/d12)*(r3-y0[2]), '-', color=lines[2].get_color(),\n", | |
" label=r'$\\widetilde{y}_{3,S}=\\dot{r}_3-exp\\left(\\frac{\\zeta}{\\delta} \\right)(\\dot{r}_3-\\widetilde{y}_{3,Ph})$')\n", | |
"y1s=r1-exp(zeta[:i+1]/d12)*(r1-y0[0])\n", | |
"y2s=r2-(r1-y1s)/(r1-0)*(r2-2/3)\n", | |
"#print(array([[y1s[i], y2s[i]] for i in range(len(y2s))]))\n", | |
"#print(zeta)\n", | |
"plt.plot(zeta[:i+1], y2s, '+', color='gray', label=\n", | |
" r'$\\dot{r}_2-\\frac{\\dot{r}_1-\\widetilde{y}_{1,s}}{\\dot{r}_1-\\widetilde{y}_{1,Ph}}\\cdot(\\dot{r}_2-\\widetilde{y}_{2,Ph})$')\n", | |
"lines[0].set_label(r'$y_{O_2}$')\n", | |
"lines[1].set_label(r'$y_{CO}$')\n", | |
"lines[2].set_label(r'$y_{N_2}$')\n", | |
"plt.xlabel(r'$\\zeta \\quad [-]$')\n", | |
"plt.ylabel(r'$y \\quad [-]$')\n", | |
"plt.title(\n", | |
" r'$\\delta=10^{-5}\\frac{m^2}{s} \\quad'+\n", | |
" r'\\dot{r}_1=-1, \\dot{r}_2=+2, \\dot{r}_3=0 \\quad'+\n", | |
" r'\\widetilde{y}_{O_2,Ph}=0, '+\n", | |
" r'\\widetilde{y}_{CO,Ph}=2/3, '+\n", | |
" r'\\widetilde{y}_{N_2,Ph}=1/3$'\n", | |
" )\n", | |
"plt.suptitle('20140310')\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Skript 12.1 einleitende Beispiele\n", | |
"Freies Ausströmen einer Flüssigkeit" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"c:\\users\\public\\apps\\anaconda3\\lib\\site-packages\\ipykernel_launcher.py:7: RuntimeWarning: invalid value encountered in sqrt\n", | |
" import sys\n", | |
"c:\\users\\public\\apps\\anaconda3\\lib\\site-packages\\scipy\\integrate\\_ode.py:869: UserWarning: vode: Repeated convergence failures. (Perhaps bad Jacobian supplied or wrong choice of MF or tolerances.)\n", | |
" 'Unexpected istate=%s' % istate))\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc6d28908>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"t = linspace(0,4,30)\n", | |
"plt.figure(figsize=[10,5])\n", | |
"plt.plot(t, exp(-t), '--', label='exp(-t)')\n", | |
"plt.plot(t, (1-t/2)**2, '--', label=r'$(1-t/2)^2$')\n", | |
"\n", | |
"soln1 = odeint(lambda m, t: -m, 1, t)\n", | |
"soln2 = ode(lambda t, m: -m**(1/2.))\n", | |
"soln2.set_initial_value(1, 0).set_integrator('vode')\n", | |
"dt = (t[-1]-t[-2])\n", | |
"y = zeros(t.size)\n", | |
"y[0] = 1\n", | |
"i = 0\n", | |
"while soln2.successful() and i < t.size-1:\n", | |
" i+=1\n", | |
" soln2.integrate(soln2.t+dt)\n", | |
" y[i] = soln2.y\n", | |
"\n", | |
"plt.plot(t, soln1, 'o', fillstyle='none', label=r'$\\frac{dM}{dt}=-c_{lam} M$')\n", | |
"plt.plot(t, y, 'o', fillstyle='left', label=r'$\\frac{dM}{dt}=-c_{turb} M^{1/2}$')\n", | |
"plt.xlabel(r'$t \\quad [s] $', fontsize='large')\n", | |
"plt.ylabel(r'$\\frac{M}{M_0} \\quad [-]$', fontsize='large')\n", | |
"plt.legend(fontsize='x-large');" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### 20151007 Verdunstung: Einseitige Diffusion\n", | |
"\n", | |
"Instationäre einseitige Diffusion von Ether in Luft" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc74a9a90>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"z_h = linspace(3/4,1,30)\n", | |
"b = 4*ln(1/(1-0.592))\n", | |
"def dy_dzh(y,t):\n", | |
" return -(1-y)*b\n", | |
"soln = odeint(dy_dzh, 0.592, z_h)\n", | |
"plt.plot(1-(1-0.592)*exp(-b*3/4)*exp(b*z_h), z_h, '.', label=r'$t=0, z_{Ph}=3/4h$')\n", | |
"plt.plot(soln, z_h, '--', label=r'$t=0, z_{Ph}=3/4h$')\n", | |
"plt.plot(1-exp(-(1-z_h)/(1-1/4)*ln(1/(1-0.592))), z_h, label=r'$t=0, z_{Ph}=3/4h$')\n", | |
"\n", | |
"\n", | |
"z_h = linspace(1/4,1,30)\n", | |
"b = 4/3*ln(1/(1-0.592))\n", | |
"def dy_dzh(y,t):\n", | |
" return -(1-y)*b\n", | |
"soln2 = odeint(dy_dzh, 0.592, z_h)\n", | |
"\n", | |
"plt.plot(1-(1-0.592)*exp(-b*1/4)*exp(b*z_h), z_h, '.', label=r'$t=t_1, z_{Ph}=1/4h$')\n", | |
"plt.plot(soln2, z_h, '--', label=r'$t=t_1, z_{Ph}=1/4h$')\n", | |
"z_h = linspace(0,1,30)\n", | |
"b = 1*ln(1/(1-0.592))\n", | |
"plt.plot(1-(1-0.592)*exp(-b*0)*exp(b*z_h), z_h, '--', \n", | |
" label=r'$t\\rightarrow oo$')\n", | |
"plt.xlim(xmin=0)\n", | |
"lines = plt.get(plt.gca(), 'lines')\n", | |
"#lines[-1].set_label('')\n", | |
"plt.xlabel('z/h')\n", | |
"plt.ylabel(r'$\\widetilde{y}_1$')\n", | |
"plt.title('20151007')\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Baehr WuS B. 2.14 NO-Reduktion am Kat\n", | |
"\n", | |
"NO-Reduktion am Katalysator eines Personenkraftwagens\n", | |
"\n", | |
"$\\begin{array}{ccccccc}\n", | |
"NO&+&CO & \\rightarrow & \\frac{1}{2} N_2&+&CO_2\\\\\n", | |
"A && B & & C& & D\n", | |
"\\end{array}$\n", | |
"\n", | |
"Bilanz: \n", | |
"\n", | |
"$0 = -\\dot {N}d \\widetilde{x}_A - \\dot{n}_{A,L}dA$\n", | |
"\n", | |
"Verdünnt ($\\widetilde{x}_{A,L,s=0}=10^{-3}$):\n", | |
"\n", | |
"$\\Rightarrow$ Kinetik $\\dot{n}_{A,L}=\\beta_{12}\\cdot \\widetilde{\\rho}\\cdot(\\widetilde{x}_{A,L}-\\widetilde{x}_{A,Ph})$\n", | |
"\n", | |
"$\\Rightarrow \\dot{N}=konst, \\widetilde{M}=konst$ \n", | |
"\n", | |
"Verknüpfung von Bilanz und Kinetik\n", | |
"\n", | |
"$\\dot{N}d \\widetilde{x}_A=\n", | |
"\\beta_{12}\\cdot \\widetilde{\\rho}\\cdot(\\widetilde{x}_{A,Ph}-\\widetilde{x}_{A,L})$\n", | |
"\n", | |
"$\\widetilde{x}_{A,Ph}=\n", | |
"\\frac{\\widetilde{x}_{A,L}}{1+k_1''\\frac{L}{\\delta}}$\n", | |
"\n", | |
"$\\rightarrow A=\\left(\\frac{D_{aI}}{D_{aI}+1}\\right)\n", | |
"\\cdot\\frac{\\dot{N}R T}{\\beta_{A2}P}\\cdot \n", | |
"ln\\left(\\frac{\\widetilde{x}_{A,L,0}}{\\widetilde{x}_{A,L,z}}\\right)$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc79ce4e0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"x_l = linspace(0,1, 30)\n", | |
"l = ln(1/.2)*350/0.032/3600*8.3145*753.15/7.655/0.1/0.13e6*(3)\n", | |
"xa = 1e-3*exp(\n", | |
" -7.655*(0.1*l)*0.12e6/(350/0.032/3600*8.3145*753.15)*(0.5/1.5)*x_l)\n", | |
"t_funktion = r'$\\widetilde{x}_{A,L}(0)\\cdot '+ \\\n", | |
" r'exp \\left(-\\frac{A\\cdot (L \\beta_{A,2})}{\\dot N R T}\\cdot '+ \\\n", | |
" r'\\frac{D_{aI}}{1+D_{aI}}\\cdot \\frac{x}{L}\\right)'+ \\\n", | |
" r\"\\quad ; D_{aI}=k''/\\beta_{A,2}$\"\n", | |
"plt.figure(figsize=[10,5])\n", | |
"plt.subplot(2,1,1)\n", | |
"plt.plot(x_l, xa)\n", | |
"plt.ylabel(r'$\\widetilde{x}_{A,L}$')\n", | |
"plt.xlabel('x/L')\n", | |
"plt.suptitle('Baher WuS B2.14')\n", | |
"plt.get(plt.gca(), 'lines')[0].set_label(t_funktion)\n", | |
"plt.legend(fontsize='x-large')\n", | |
"\n", | |
"plt.subplot(2,1,2)\n", | |
"plt.setp(plt.gca(), frame_on=False, xticks=[], yticks=[])\n", | |
"plt.text(0,0,r'$\\widetilde{x}_{A,L}(x)=$'+t_funktion,\n", | |
" horizontalalignment='left',\n", | |
" verticalalignment='center');\n", | |
"plt.text(0,0.75,'L wird bestimmt, damit RB erfüllt:\\t '+\n", | |
" r'$\\frac{\\widetilde{x}_{A,L}}{\\widetilde{0}_{A,L}}=0,2'+\n", | |
" r'\\Rightarrow '+'L={:0.4f} m'.format(l)+'$')\n", | |
"plt.text(0,0.55, r'$A=7,655m^2, (L\\beta_{A,2})=\\delta_{A,2}='+\n", | |
" '{:0.4f} m'.format(0.1*l)+'$');\n", | |
"plt.text(0,0.35, r'$\\dot N='+'{:0.5f}mol/s'.format(350/0.032/3600)+\n", | |
" ', T=753,15K, D_{aI}=0,05/0,1=0,5'+'$');" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Cussler 2.2-3 veränderlicher Diffusionskoeffizient\n", | |
"\n", | |
"Veränderlicher Diffusionskoeffizient nach \n", | |
"$\\delta=\\frac{\\delta_0 \\widetilde{c}_1}{\\widetilde{c}_{1,0}}$\n", | |
"\n", | |
"$0=\\frac{d j_1}{dz}=\\frac{d}{dz}\\left(\n", | |
"-\\delta\\frac{d\\widetilde{c}_{1}}{dz}\\right)=\n", | |
"\\frac{d}{dz}\\left(\n", | |
"-\\frac{\\delta_0}{\\widetilde{c}_{1,0}}\\widetilde{c}_{1}\n", | |
"\\frac{d\\widetilde{c}_{1}}{dz}\\right)$\n", | |
"\n", | |
"Randbedingungen\n", | |
"\n", | |
"$\\begin{align}\n", | |
"z=0 & \\qquad \\widetilde{c}_{1}=\\widetilde{c}_{1,0}\\\\\n", | |
"z=L & \\qquad \\widetilde{c}_{1}=\\widetilde{c}_{1,L}=0\n", | |
"\\end{align}$\n", | |
"\n", | |
"$\\widetilde{c}_{1}=\\widetilde{c}_{1,0}\\cdot\\left(\n", | |
"1-\\frac{z}{L}\\right)^{1/2}$\n", | |
"\n", | |
"$j_1=-\\delta\\frac{d\\widetilde{c}_{1}}{dz}=\n", | |
"\\frac{1}{2}\\frac{\\delta_{12}}{L}\\widetilde{c}_{1,0}\n", | |
"\\left(1-\\frac{z}{L}\\right)^{-1/2}\n", | |
"$\n", | |
"\n", | |
"$j_1(z=0)=\n", | |
"\\frac{1}{2}\\frac{\\delta_{12}}{L}\\widetilde{c}_{1,0}\n", | |
"$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc76f1588>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"z=linspace(0,1,100)\n", | |
"plt.plot(z , (1-z)**0.5)\n", | |
"plt.ylabel(r'$\\frac{\\widetilde{c}_{1}}{\\widetilde{c}_{1,0}}$')\n", | |
"plt.xlabel('z/L');" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Cussler 2.3 Quasi-unendliche Platte\n", | |
"\n", | |
"Bilanz\n", | |
"\n", | |
"$\\frac{d\\widetilde{c}_{1}}{dt}=-\\frac{d}{dz}\n", | |
"\\left(-\\delta_{12}\\frac{d\\widetilde{c}_{1}}{dz}\\right)=\n", | |
"\\delta_{12}\\frac{d^2\\widetilde{c}_{1}}{dz^2}$\n", | |
"\n", | |
"Kombination der Variablen\n", | |
"\n", | |
"$\\zeta\\equiv\\frac{z}{\\sqrt{4\\delta_{12}t}}$\n", | |
"\n", | |
"$\\rightarrow\n", | |
"\\frac{d\\widetilde{c}_{1}}{d\\zeta}\\frac{d\\zeta}{dt}=\n", | |
"\\delta_{12}\\frac{d^2\\widetilde{c}_{1}}{d\\zeta^2}\n", | |
"\\left(\\frac{d\\zeta}{dz}\\right)^2\n", | |
"$\n", | |
"\n", | |
"$\\rightarrow \n", | |
"\\frac{d^2\\widetilde{c}_{1}}{d\\zeta^2}+2\\zeta\n", | |
"\\frac{d\\widetilde{c}_{1}}{d\\zeta}=0\n", | |
"$\n", | |
"\n", | |
"$\\frac{\n", | |
"\\widetilde{c}_{1}-\\widetilde{c}_{1,0}}{\n", | |
"\\widetilde{c}_{1,\\infty}-\\widetilde{c}_{1}}=erf(\\zeta)$\n", | |
"\n", | |
"$j_1 = \\sqrt{\\frac{\\delta_{12}}{\\pi t}}\n", | |
"(\\widetilde{c}_{1,Ph}-\\widetilde{c}_{1,\\infty})\n", | |
"e^{-\\frac{z^2}{4 \\delta_{12}t}}\n", | |
"$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Taylor 3.T\n", | |
"(eTe)^(1/2)=0.0438\n", | |
"Taylor 3.T\n", | |
"(eTe)^(1/2)=0.0081\n" | |
] | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc7432ba8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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sCG3v/PIRQqDX69Hr9R3227Ql9Lnmb3Fxsed+ZWVli+toNJoOR6SpEGhFZ9OrFUWgJYxT4SAFVBzJIGDqVMbfNJDVCw/w7dYckif0afQ6k9VG+px5pF09nQ2LXuPLt99g3xerSZ/zIAMuG+0zeYVWgz7Sij7SimV47fHq4so6+R5V2SUUfVcA1W7rQydc10XVKg9DtBWNpedYH75Gp9Oh0+mwWq3tnsPpdDarbJo6VlBQUOe8L0KgGzunQqAVNfRqRRFki6BSLygJtRKQkQHAgBHhRA0IYPuKYySOikRvbPrDEtInhlm/fopj3+xgw6L/46PnnyJ++EjS58wjtG9sk9d1NlqbAW2iAVNisOeYdDipOl9WJ/Kq/Ns8Snedrb0u0FA36irKii7MjND0TuvD12g0GsxmM2azud1z1IRAt3UrraSkhLy8PM/j1oRA15SuaY914126Rm2lXfr0akURbI9CSElehIkQt6IQQnD5rAQ+fGE3e784xajr4lucZ8CI0cQNHc43qz/l6w/eZfFjP2H4tBsYf8udmDoQOdQRhE6DwW051CClxFlcVTfyKruE8ow8qEn70GvQRVowRNvQR1k8ikRj7tVvlW6Ddwh0R+hoCHRFRUWrt9LaqlwaK12jttK6ll796bfYgrE7nZwL09Jv0wmcZWVozGaiE4IYMDyc3WtOkDyxD5aAlj+UWp2eUTfcTPIVk9ny77fZvWoFhzatZ+Id9zB0yjQ0mq4344UQaO0GtHYDpqR61sfZ0jpRV2UHcynZUevA1QYZGzjOdSEmZX1conRGCHTNVlprFU7Nfe8ggdaEQAMdDhJQW2kdo1eHxxbk5nDXx+lM+j6KG5edJf799zEPdZXsyM8p4d2nt5M6qS+TZie1ee6z33/HhkWvkXX4AOH94km/7yH6paa1eZ6uQkqJs7DSY3W4IrCKcZwv85RpFHpNHb9HzfaVxtSrf38o2kBNCHRbS9fU/9uaEGi1ldYQFR7bCiz2IAKcTk6Gut5kFRkZHkURHGUlZWIfDm48TdrkGIIiLW2aO7L/QG5/4lkyt23hy7ff4P1nfkPimMuZdM/9BEVGdfpz6WyEEGgDjZgDjZgHh3iOy6pqL+vDpUBK9+cit+d4xmiDjbW+D3cEllZZH4pG8A6BDggIaPmCJqhfuqa1lk5bq0D31q20Xq0oDEYT9mo4HViFMJmocPspahh9Q3++3ZbD1o+/Y/oPh7Z5fiEESeMm0v+y0ez69GO2ffwex77Zwcjrb2LsTbdhMLdN+XQHhF6LIcaOIaY21FRKSfXFSs+2lcd5fvhCrfVh0Lp9HrVbV/ooCxpjr34LKjqJmhDojlYTaE7JNKVw2lpNAC69rbRe/ym1OAUlogpjQgLlGUfqngswcNk1/dj+yffkHLtI1ID2FevTG4yMm3UHKelT2LxkEds/fp+DGz7nirvmknzFZMQl9uuiPkIIdEFGdEFGzEO8CiZWVuM4W+pRHpXZxZTuzUVu87I+Qkye7aua3A9tsLI+FP5Hq9VisViwWNr/A66xrbTWKJvi4mIuXLjQpsKcNVtpP/3pTzuUlNoalKJwaikRDoxJSRR/+WWD88OmxHLgy9N8tewoN//ysg7tT9pDwrj2J//FsGuuZ/2ihaz++4vs+exT0u97iL6DhnTkaXRLNAYthlg7htj61kcFVWdKaq2PnEasj2hrnagrZX0oLgU6ayutLVFper3v86F6/SfPJHWUimqMSUlc/PBDHLm56MJqy3cYTDrGzOjPhneOcGzPeQaOiOjwmn2SBnPXMy9wePMGNi15i6V/eIzBE67kirvmEhAW3vIElzAu68OELsiEObkR68NteVRll1C693xD68PL76GsD0VPpTOi0joTpSikAaeoQPZ3JchVZGTUURQAQy6PZu+6LL7+8Dvih4ah7UAp8BqERkPypKtIGDOeHcs/YOcnH3F0x9Ymy5n3dLytj5rMDykl1QUVdRznVdkllB9Svg+Fwp/0+k+TWZiACsriXZZCeUYG1ssvrzNGo9Vw+ayB/Odv+zi46TRpkzsv69pgMjPhjnsZetU0Tznz/evXMunuHzC4hXLmPR0hBLpgE7rgFqyPnCasD2/fR5SKvFIo2kuvVxQmYQYuUmzVog0LoyIjs9FxcamhxAwOZsenxxk0NgpjJ9dJCgiPYMbPHydr2vWsX/QaK1/6E3tWf8rk+x4kKqHteRw9mWatj5x61kcd34c77yNK5X0oFG2h139CTBrXHmBhZSHRSYkNQmRrEEJw+S0JvPfHHexadYLLb+l4L4rGiBmSyj1/fJEDX37O5ncX885vHyV50lVcced92EJCW56gl1LH+qgfeXWuNu+jMruJvI96ykMXqmpeKRQ19HpFYdG5IhMuVlwkPjGJ/KVLkdXViEZilMNj7QweF8Xe9adIvbIvAWHtL+7WHEKjYejka0gaO5FtH7/H7v98TOa2rxhz022MvOEm9AbfhsL1JDSGJvI+Cr0r7rq2r8q/zauTda6Lqt22qlEkquaVojfS69/1Fr1LURSU5WEcNAhZUUHlyZMY+/dvdPzYmQM4uvOcp7+2LzFaLEy6ay5pU6az8Z032PLvf7Hvi9VMuvsHDBp/Ra/2X3QEIQS6QCO6prLOvZIGyw7kUuJtfQQ1Yn2oiruKHk6vVxRWYwg44HzReYxJVwFQkZHZpKKwBZsYPrUfO1ceZ9hVsUT2b3+sdGsJioxi5qO/4dSh/axf9Br/+ev/8s2qT5T/opNpKuvcWVhJZX3fR0Y+OGv6fWhckVfe/o8oa4/qNqjo3fR6RWEyBqGvkuSXnMeYNhA0GiqOHIFp1zR5zYhr+nFw02m2LMvk5v/qWBJeW4hNHso9z77IwQ1fsHlprf9i4p1zsIeEtTyBos3UqXk1yMv6cDipqvF95Hj1+9jp1e8jwOBRGh7roxf0Olf0PHq9otBZggi86CS/7AIakwlDv35UZDbu0K7BlYQ3gC+XHOH7vbkMGO6/JDmNRsvQq64hadxEtn/8Hrv+8zEZ27Yw5sZbGXXDzb0u/6KrEDoNhj42DH3qJkRVF1U2jLw66tVtsKbXeb3tK629Y/0lFApf0usVhd4SQIDTSWH5RQCMgwZR/u3hFq9LnhDNvnWn+OrDo8SlhnZKEl5bMFosXHHXXNKuns7Gt9/kq/feYf8Xa7ji7rm9Pv+iK/H0+/DuNljtxHG+zKvmVQnl3xVQ+o1Xr3ObvsHWlT7CgtAr60PR9fR6RWGwBBDorKaoqhAAY1IiRWvW4CwtRdNMcTCNVsPltyT4JAmvLQRGRDHj0V+TdeiAJ//im1UrSJ/zIH2SBneJTIq6CG1t/gbevc5LqupaHzklFG/NBoe7t4IGdGGWBttX2kCD+iGg8Cu9XlEYbUEEOCXHHSWux0lJICUVR49iTmu+0VBcaih9B/kuCa8txCSncvezf+bQl+vYvHQx7/7+l+76UfcRENbx+lSKzkdr1aMdGIRpYJDnmHRKHBfK6pQtqTxRSNne854xwqRDH22pa31EWdEYVAc3hW/o9YrCZA0gsLqa4upS1+NBgwB3E6MWFIUQggm3upPwVp/g8lm+ScJrLRqNltTJU0kaP7G2ftT2rxl5w82MuelWDCbf5H0oOg+hEejDLejDLZBW6/tyljs8VodLgZRSuuscstJdjlqALsSELsqraKIqW6LoJHq9orDYQwhwOimVFQDoY2IQFgvlTWRo1yc81s7gsVHsW5dF6iTfJeG1BU/9qCnT2LRkEds++jcH1q9hwux7SblySrfo361oGxqTDmN8IMb42p4o0uldNLHY03mwTtFEvVfZkqjabSxNF1q/ikuPXq8orPZAApxOyqjC4XSg0+gwJiRQcaR1igJg7I0DyNzlnyS8thAQFsH18x9jxPQZbFj8Gmv+8RLfrP6UyXPmEZty6fTvVjSO0AiXFRFiwpzSRNkStwVSdjCXkh0Oz5hGQ3fDzAg/B2UoLg16vaLQ6Q2Yq10fjqLKIoJNwRiTEin+Yh1SylY5DW3BJoZfHcuuVSf8loTXFvokDebOZ17gyFcb2fjOW7z39G9IGD2OSffcT3BUn64WT9HJNFW2xFlU6dm2ajJ0N9xS2zSqpmyJXTnPezt+VRRCiOnAXwEt8H9SyufqnY8D3gDCgTzgHilllq/lMjpdL8PFiosEm4IxJQ3i4gfLqM7NRRfeuhyJy6bFcWjzGb8n4bUWIQSDJ1zJwNHj2PXpx2z/+H3eevQRRky/nnGz7sTUTRqkKHyDEAJtgBFtgBGTd+JgvdDdqpwSKo7VC9216Ly2r1zKQxdpUc7zXoTfFIUQQgv8DZgKZAE7hBArpJSHvIa9ACyWUi4SQlwFPAvc62vZjNKV7FRYWRMi6yqLUX4kA1srFUWdJLw9uQwY0T071dX0706dPJWv3nubXStXcPDLdYy/ZTbDrrkOrU7tXfcmmgrddZa6Q3drrI+cEkp25iAr3aG7bue5PsrqKZ6oi7KiU87zHok/LYoxwFEp5TEAIcRS4EbAW1EkA79w318PfOwPwQzSCFRzsaIm6c6lKCoyMrBNnNDqeRok4XXjZClbcAjX/HA+w6fdwJdvv8H6Ra+xZ81/mHT3/QwcNbbbWUQAVVVVZGVlUV5e3tWi9FhMJhMxMTHoLXqMA4IwDqgbuludX14v96OUsnrOc12kqnvV0/CnougLnPJ6nAWMrTdmL3ALru2pmwG7ECJUSnnBl4IZhQUo8lgUuuBgdOHhTfamaAqNVsOE2xL59OW97NuQxYip/XwgbecSET+AW3/7DN/v2cmXi19n+Qv/TUxyKun3ziNyQNeG+9YnKysLu91OfHx8t1RklzpSSi5cuEBWVhb9GymKKTQCXagZXagZc0ptbbEGzvMcV8Mo77pXGru+7vaVyjy/pPCnomjsky3rPf4l8IoQYi6wETgNOOpfBCCEeAh4CKBfv459IRuEFSjyWBTg2n5qq6IAiEsJpV9KKDv/8z2DxkZhCej+NXyEEAwYMZq4oSPY/8VnfPX+O7z9m1+QMukqJsy+t9sUHCwvL1dKwocIIQgNDeX8+fMtD/aiSed5cb3M87OlFH99Bhzuj70GdKFml9URWRvCqw1W21fdDX8qiizAu85FDHDGe4CU8gwwC0AIYQNukVJepBGklAuBhQCjRo2qr3DahFFrB3I8FgW4FEX+O+8gHQ6Erm0v08TbEnj36e1s/+QY6XdfOmU0tDodw6ddz5Ar0tn20XvsXrmcI19vZtSMWYyeOatbJOwpJeFbOuv1FUI0UffKnXmeU7t1VZlVTNm+3NprDdraqKtIiyeJUG1fdR3+tPt2AIlCiP5CCAMwG1jhPUAIESaEqJHp17gioHyO0NsxO2UDi0JWVlJ58mSb5wuOsjL0yr4c2nyG3KzizhTVLxgtVibd/QN+8OI/GDByDFuXvcsbP3uIfV98htNZ3dXidSkFBQX8/e9/b/X477//nrFjx5KYmMgdd9xBZWVlo+OeffZZEhISGDRoEJ999pnn+P33309ERASpqal1xufl5TF16lQSExOZOnUq+fn5gOuX/Pz580lISCAtLY3du3e341n6DuGunmtJCyfwmnjC5iQT/avR9HlqPOGPDCNoVgLWUZGg1VB2IJeCT46R+9p+sp/Zypk/buP8GwcoWHmMkl1nqTxdjKxydvVT6hX4TVFIKR3AT4DPgMPAe1LKg0KIp4UQM93D0oEjQogMIBL4H3/I5jTYCKyurmNRmLwc2u1h9A39MVh0bH4/Ayk7ZPB0GYERUcz4+ePc+cyfCIiIZO3Cl/nXr+ZzfM+urhaty2ironj88cf5xS9+QWZmJsHBwbz++usNxhw6dIilS5dy8OBBVq9ezSOPPEJ1tUshz507l9WrVze45rnnnmPKlClkZmYyZcoUnnvOFWm+atUqMjMzyczMZOHChTz88MPtfKb+RWPUYewXgG1MNEEzBxLxwzSifz+O6N+MIez+VAKv7Y9pYBDOokqKt5wh//0Mzr38Daef2ELOn3dyYclhCr84SdnBCzgulCGdl+Znrrvi1zwKKeVKYGW9Y3/wuv8B8IE/ZQLAYCewyklBWX7toYEDQaul/MgRAqZPb/OUJqueMTcMYNO/M/zes6Kz6ZOe7waDAAAgAElEQVQ0hDuf/hOZ27awcclbLHv2CeLSRnDlPfcTHtd4J8CeyoIFC/juu+8YPnw4U6dO5U9/+lOTY6WUrFu3jiVLlgBw33338eSTTzb48l6+fDmzZ8/GaDTSv39/EhIS2L59O+PHj2fSpEkcP368wdzLly9nw4YNnnnT09N5/vnnWb58OXPmzEEIwbhx4ygoKCA7O5vo6OhOew38RZ3cj6R6Zdtzy+qE7ja6feWOvtJ5dR9U21fto9dnZgMIk53AirqKQmM0YoiLoyIjs93zpk7qw4GNp9my7ChxKd07XLYlhBAkjZvIgJFj2bvmP2xdtpTFj88nNf1qJtx+D7aQ0JYn6USe+uQgh84UtjywDST3CeCJGc2XYHnuuec4cOAAe/bsoaioiOHDhzc6bsmSJURERBAUFITO7eOKiYnh9OnTDcaePn2acePGeR43Nc6bs2fPer78o6OjOXfunGeu2NhaV2DNXJeiomgKodW4nN+RVhjmVTixwuHpee5wK5Gyg7k4vUqXeKKvvJzn+kgLQq+SB5tDKQpAYwogIN9JTkVBnePGQUmUHzjY/nm1GibemsAnL+9l3/osRlzT/cNlW0Kn1zPy+ptIvnIK2z78N9+s/pRvv9rI6BmzGDWjezi8/YXdbmfPnj1Nnm8seqgxZ3FjW5PtdSp35lyXGjXbV8Z+tSV0XKVLqryc5+7oK+++H8IdfRVlQeelQHShZhV95UYpCkBnthPodFJUVVTnuCkpiaJVq3GWlKCxWts1d7+UUOKGhrJz5fcMGndphMu2BrPNTvqceQy/5no2vbuIrz94l31ffMblt91NavrVaLS+/YXW0i9/f1BUVMQVV1zR6LklS5YwZMgQCgoKcDgc6HQ6srKy6NOnYW2tmJgYTp2qTTFqapw3kZGRni2l7OxsIiIi2j1XT8a1fWVAG2Cou31V0/cjp8YCcScPHqyXPBhh8Wxh1SiQ3lj7SikKQG8JJKDaSbG7eVENNaU8KjIzMTexxdAaJtySwNKnt7Ptk2NMvoTCZVtDUFQ0M36xgDMZh9nwr9dZu/Bldq9czqS7f0D/EaN63AfKbrdTVFTkud+cRQEwefJkPvjgA2bPns2iRYu48cYbG4yZOXMmd911F48++ihnzpwhMzOTMWPGNDvvzJkzWbRoEQsWLKgz78yZM3nllVeYPXs227ZtIzAwsEdtO3UWdfp+DG0kebCmfMnZEsoz8yndXbf2lcvy8FIgkRY0pp77ddpzn1kb0FtcpcarpINyRzkmnQlw9c8GKM/I6JCiCI6yMjQ9hn3rTzH0yr6EeSUm9RQ8Du/tX7FpyVt89PxTxKakceU993e7DO+OEBoayoQJE0hNTeXaa69t1pkN8PzzzzN79mx+97vfMWLECB544AEAVqxYwc6dO3n66adJSUnh9ttvJzk5GZ1Ox9/+9je0bovszjvvZMOGDeTm5hITE8NTTz3FAw88wIIFC7j99tt5/fXX6devH++//z4A1113HStXriQhIQGLxcKbb77p2xekh9FY8iDUtq11uLeuqnJKKN19DllRGy6uDTJ6OdBdykMfYekRpdvFpRq66c2oUaPkzp072339icO72LZyJs+EhfD5rZ8TaY0EQDqdZIwaTeCsWUT97rcdkrG8pIp3/rCV0L5WbvzFiB73S9ubaoeDfZ+v4usP3qWsqJDBE65k4uw5BEZEdmjew4cPM2TIkE6SUtEU6nVuHVJKqvMrqDpbUteJfr60tnS7BnRh5lrnuTuBsLsUTxRC7JJSjmppnLIoAJM9iEB33HphZaFHUQiNBmNiIhVHjnR8DaueMTP6s3HppR8u2xJanY4R02eQPGkKO1Z8wK5PPyZz2xaGT5/B2Jtvx2zreRaVovchhFfjqCG1UX91wnfPurPPzxRTdiC3ef9HpAVNQPf0fyhFAZhtQQQ4XREQ3tnZ4PJTFK1Z0+omRs2RckXPCZdtDUaLhYmz5zBs6nVsee9tdv3nYw6uX8vYm29n+LQb0Bl6hmNfofCmTvguXuG7ldU4ztYqD5f/o6CO/0OYdbXKI9LitkQsXd66VikKwGoLJNCtKLyzs8Hlpyh4/30c586jj4zo0DqucNlEVry0h73rT3HZNXEdmu9SwR4axvSHf87I629i4ztv8uXbb/DNZ58y4Y57GTLhSoSmZytMhQLc/o9YO4bYhv4Ph9f2VVVOKaV7ziHLa/0fmgBDHcWhj/Rv8yilKHBtlRiqa7vceWNMSgRcpTw6qigAYpNDiB8ays6Vxxk8LrrHhMu2hvB+8dzy66c4sW8PG995k1Wv/D92fvIhk+6aS9yw7tcVUKHwB1qrHm393h9SUl1YWcd53lj+hzbEROSPh/vc4lCKwo3W6Yp0qm9RmGpCZDOOYLtiYqesNeHWRN59ahvbVhxj8j09K1y2NcSlDeee1Bf59utNbFm6mGXPPkG/1GFMuvsHPSpCSqFoL0IIdIFGdIH1Wtc6JY68co8CceSWIcy+/xpXisKNEBaEbGhRaIOC0EVGtrs4YGMERVoYOjmGvetOkTqpL+H9ep9zV2g0DJlwJYljLmff2pV8/eG/efvXP2fwhCuZcMe9BEVGdbWICkW3Q2gE+jAz+jAz5tSWx3cWanPYTZXGglWKBhYFuBza5R2o+dQYo6+Px2zTs3HpkV5d6VKn13PZdTcy76XXGHvz7RzdsZU3f/Ej1r31T0oLG21F0qX4s8x4eXk5Y8aMYdiwYaSkpPDEE094xr/yyiskJCQghCA3N7fOXBs2bGD48OGkpKRw5ZVXtuNZKhR1UYrCTYXWiq0aCisaUxSJVB49iqyq6rT1jBY9l89KIOdYId9uze60eS9VjBYrE2fP4YG/LiQlfQp7Vv+H1+fPY+uypVR1ox7Z/iwzbjQaWbduHXv37mXPnj2sXr2arVu3AjBhwgQ+//xz4uLqBkQUFBTwyCOPsGLFCg4ePOhJxFMoOoJSFG6qtBbsTtmoRWEaNAhZVUVlI+WeO8KgsVFEDQjk64++o7yk85TQpYwtJJRrHvop973wN2JThrHlvbd5/WcPsmfNym7R18O7zPhjjz3W7NiaMuO33nor4CoH/vHHHzcY11SZcSEENpsNgKqqKqqqqjwO/xEjRhAfH99griVLljBr1ixPe+CaGlAKRUdQPgo3Dr2NAGd1Ax8FgCk5GYCyAwcxJiZ22ppCI5h0ZxLv/3EH2z/5nkmzkzpt7kud0JhYbnrsd5z+9hCb3n2LL17/O5PmL6CsuAiT1YZY/WvI2d+5i0YNhWufa3aIv8uMV1dXM3LkSI4ePcqPf/xjxo4d26x8GRkZVFVVkZ6eTlFRET/72c+YM2dOs9coFC2hFIUbp95GcHU1GY1YFIb+/dFYLJQfOAA339Sp64bH2kmd1JcDX2YxZEI04bG9z7HdHH0HJ3PHk89zbPcO8iqquHg2h1KjkUBHFVokgq4LqfVHmXGtVsuePXsoKCjg5ptv5sCBAw3aonrjcDjYtWsXX3zxBWVlZYwfP55x48aRlKR+hCjaj1IUbpwGG8HllY1aFEKrxZScTNmBTv4F62bMzAEc3X2OTUszuPmXKp+gPkIIBo4cQ8WhQwRGRFKcn0du8o8wmM3YQsIwmExdIpc/y4wHBQWRnp7O6tWrm1UUMTExhIWFYbVasVqtTJo0ib179ypFoegQykdRg9FOsLOaoqoinLJhw3bT0KFUHP62Ux3anrmtesbdNJDs7y5yZFtOp8/fUxBCYLYHEBbTD3tYOI7KSvJOn6IgJxtHE9FEnU1jZcYbuyUnJyOE8JQZB5otM7506VIqKir4/vvvPWXGz58/T0GBq5lWWVkZn3/+OYMHN593c+ONN7Jp0yYcDgelpaVs27ZNFfhTdBilKNxojHYCnE6c0klxVXGD86bUFGRlJRVHj/pk/SHjo4nsH8BXy45SUaoc280hNBqsgUGE9YvDFhxCRVkpuVknuHj+LNUO37523mXGW3Jmg6vM+J///GcSEhK4cOFCnTLjf/iDq128d5nx6dOne8qMZ2dnM3nyZNLS0hg9ejRTp07lhhtuAOCll14iJiaGrKws0tLSmDdvHgBDhgxh+vTppKWlMWbMGObNm9esBaJQtAZVZtzNjo//xumj/8Pvw0NZNWsVMfaYOucrT57ku2umEfX0UwTffnuH1mqKcycKef+5naSlx3DFHWqroD5Nlb+udjgoKcinzJ13YQkIxBIcjFardlbbgyoz3ntobZlxZVG40ZoDayvIVjb0U+hjY9EEBnaoh3ZLRMQFkHJFX/ZvyCI3q6FVo2gcrU5HQFg4YbFxmGx2Si4WkHvyBMV5F3BWV7c8gUKhaBalKNwYLHYCq90VZBtJuhNCYE5J8ZlDu4ZxNw7AaHFnbPcAa8+faPV6AiMiCYuNw2i2uJzep05QUpCP09nQ76RQKFqHUhRuDNagZi0KAFNqKhUZmTgrKnwmh8mqZ/zNA8k+epGM7Wd9tk5PRmcwEBQVTWhMLHqjkaILuVw4dYLSwotK+SoU7UApCjdGq1dPikYsCgDT0FRwOKj49lufyjLk8mgi4l2O7coyh0/X6snojSaCo/sS0qcvGp2OwvPnyD11grKiIqUwFIo2oBSFG4u91qJorIwHgNkdPVJ24IBPZREawZV3JlFaVMn2T7/36Vq9AYPZQkifGIKj+iCEhovncriQdZLykmKlMBSKVqAUhRuzPQiTlOjRNGlR6KKi0IaGUr7ft4oCXI7t5Il92Lc+iwunlWO7owghMFqthMbEEhgZBRIKcrLJO51FRWmJUhgKRTMoReHGYgnAKQUWqWvSRyGEwJyaSvlB3ysKgPE3DsRg1rJxaYb6IuskhBCYbXZCY/sRGBGJ01lNfvYZ8s6cprKstMXrfVFm/MKFC0yePBmbzcZPfvKTOud27drF0KFDSUhIYP78+Z73QV5eHlOnTiUxMZGpU6eSn58PuMqBzJ8/n4SEBNLS0ti9e3erZVUomkIpCjcarYYSTFiltkmLAtwO7e+O4Swp8blMJpuecTcO5ExmAZk7lGO7M/Fkecf2IyA8Aqejirwzp10Ko7ysyet8UWbcZDLxzDPP8MILLzQ49/DDD7Nw4UIyMzPJzMxk9erVgKs44ZQpU8jMzGTKlCk895yrmOGqVas8YxcuXMjDDz/calkViqZQisKLMmHGWt1486IaTENTwemk/PBhv8iUPLEPEXF2Nr+fqUqR+wAhNFgCAgmNjcMeGo6jsoK801nkZ5+hqqJhHwxflBm3Wq1MnDgRU72aVdnZ2RQWFjJ+/HiEEMyZM8dz/fLly7nvvvsazLt8+XLmzJmDEIJx48ZRUFBAdrbqd6LoGCp11YsyjRWbUzZaGLAGb4e2ZVSLCY0dRqMRpN89mPef28lXHx7lqntVxizA89uf59u8zo0+GxwymMdGPUbpxQJKL+ZzIesUJqsNa3AIeqMR8E2Z8aY4ffo0MTG1FQK8rz979izR0dEAREdHc+7cOc81sbGxDa6pGatQtAe/KwohxHTgr4AW+D8p5XP1zvcDFgFB7jELpJQr/SFbucaCrVqS04xFoQsLQxcd7ReHdg3h/ewMnxLLN2tPMmhMFH0HBftt7d6GRqPBFhyCJSCQ0osFlFwsoLykGJPNhi04pM7Yzioz3hTNlR/vzGsUipbwq6IQQmiBvwFTgSxghxBihZTykNew3wHvSSlfFUIkAyuBeH/IV6m1EFB9sVmLAsCcmuLqTeFHRs/oz3ffnGPDkiPc8bvR6PRav67f3Xh8zOM+nV+j1WILCcUSGETJxXxKL16kvLiYwrwCcH8Zd1aZ8aaoKfpXg/f1kZGRZGdnEx0dTXZ2tqeTXWtKlisUbcXfPooxwFEp5TEpZSWwFKhfd1kCAe77gcAZfwlXpbMRWO2g1FFKlbNpf4ApdSiVJ05QXdi05dHZ6A1a0u8aTMHZUnatOuG3dXs7Gq0We0gYYf3isAYFo9e6HNoXz+VgNho7pcx4U0RHR2O329m6dStSShYvXuy5fubMmSxatKjBvDNnzmTx4sVIKdm6dSuBgYFq20nRYfytKPoCp7weZ7mPefMkcI8QIguXNfHTxiYSQjwkhNgphNjZmInfHqp1VkIcrvDF5iOfUgAoP+i7AoGNEZscwqCxUexefULlVvgZrVaHPTSMpLQRjB83jrETJzH/x49w8dxZHM30KGlNmXGA+Ph4Hn30Ud566y1iYmI4dMhlZL/66qvMmzePhIQEBg4cyLXXXgu4nOpr164lMTGRtWvXsmDBAgCuu+46BgwYQEJCAg8++GCbIrQUiqbwa5lxIcRtwDQp5Tz343uBMVLKn3qNedQt1/8TQowHXgdSpWykm5CbzigzDrDtbw9wqvQLnoqws+KmFfQP7N/ouOqLF8kYO47w/3qUsAcf7PC6baGsqJIlT24jKNLMrF+ORGh6z/5zdyp/Xe1wUFqQ76ofhcRsC8AaHIJOr+9q0TpMd3qdFb6lu5YZzwJivR7H0HBr6QHgPQAp5deACQjzh3BOg53waldIZHN+Cm1gIPp+/fzq0K7BbDcw8bYEco4VcmBj6yNoFJ2LVqfDHhZOWL94LAFBlBcXceHUiRYtDIXiUsTfimIHkCiE6C+EMACzgRX1xpwEpgAIIYbgUhSds7fUEkY7wdLVv6C5XAroGod2DUljo4gdEszXH39HcX7DWH+F//D0wugXhzkgkPLiInJPHXcrDP+0Z1UofI1fFYWU0gH8BPgMOIwruumgEOJpIcRM97D/Ah4UQuwF3gXmSj/tj2lMtT0pWop8MqUOperMGRx5ef4QrQ5CCK68azCyWrJxaYbf11c0RKvTuxVGrYWRe+oEF8/l+K2ft0LhK/yeR+HOiVhZ79gfvO4fAib4Wy4ArcneYgXZGjwO7QMHsE2a5HPZ6hMYbmb0Df35+qPv+O6bcwwcEeF3GRQNqbEwrEHBHh9GWVERZrsda1AIOoOhq0VUKNqMKuHhhc4ciL2FnhQ1mJJTQAjK9vu2411zDL86lrBYGxuXZlCh+lZ0K7x9GNagYMpLisk9dYKCs8rCUFx6KEXhhc5iRweYNcYWLQqtzYphwACf9tBuCY1Ww+R7BlNWWMnXH33XZXIomkarc4XV1iiMitISt8LIpsqHnRIVis5EKQovjNYgAKzC1KKPAlx1n8oO7O/SEuARcQGkXRXLwY2nOXO0oMvk6C20t8z44MFDmPfIjwmIisYaHExFaSkXsk6Sn3OGLZs2MXz4cIYPH86wYcP46KOPPNfff//9REREkOquMebNyy+/zKBBg0hJSeFXv/oVAGvXrmXkyJEMHTqUkSNHsm7duo4/aUWvRykKL0w2l6KwoG/RogBXyfHq87k43AXZuooxM/pjDzGx4e1vqa5qMt1E0Ql0tMz4W28twh4SRni/eGwhIVSVlxMdHMiaT5az/euvWb16NT/84Q9xOFxbiXPnzvWUFvdm/fr1LF++nH379nHw4EF++ctfAhAWFsYnn3zC/v37WbRoEffee2/nPHFFr0YpCi/MtkAAV/Oi1lgUQ12/8roqTLYGg0nHpDuTyM8pZfcaVd7Dl3RWmXGNVostOJSwfnFExsRCdTV5Z7LIOf49gtrifpMmTSIkJKTB3K+++ioLFizA6K5qW1PracSIEZ7aTikpKZSXl1OhtrgUHUSVGffCandVZbU4NRS0wqIwDh4MWi1l+/djnzLF1+I1S/zQMBJHRbBz1XEGjAgntI+tS+XxNTl//CMVhzu3zLhxyGCifvObZsd0dplxjUaLNSiYfYe/5f777+fkyZO8/ML/Ung2B2twMEaLtdH5MzIy2LRpE7/97W8xmUy88MILjB49us6YZcuWMWLECI8yUSjai1IUXpjMVqqlwFoNJ1phUWhMJoyJiV3q0PZm4u1JnPo2ny/eOswtj49Eq1UGoy/pzDLj48eP5/Dhwxw6eJA5c+YwdcrVVFWUozMYKS9uWNfL4XCQn5/P1q1b2bFjB7fffjvHjh3zzH/w4EEef/xx1qxZ085np1DUohSFF0KjoURYsFZLCisLkVK2WMvfPDSVojVrWzXW11gCDKTfPYjV/zzAzpXHGTtjQJfK40ta+uXvD3xRZjw5JQV7QAA5FwtJHTyIkoJ8ii6cp7qqitLCi5htdoRGQ0xMDLNmzUIIwZgxY9BoNOTm5hIeHk5WVhY333wzixcvZuDAgb546opehlIU9SjFjM1RTZWzijJHGRa9pdnxppRUCt7/gKrTpzF4dSPrKgaOiCBpbCS7Vp0gfmgYkfEBLV+kaDV2u52ioiLP/eYsCsBTZnz27NlNlhn//vvviY2NRafTceLECY4cOUL//v0x2wMw2excKCoGAYXnz1GcfwFrYDAzZ85k3bp1pKenk5GRQWVlJWFhYRQUFHD99dfz7LPPMmFCl+StKnogam+iHuUaC3Z3xEmrIp9qHNpdmHhXn0l3JGEJMPDFW4dwVFZ3tTg9itDQUCZMmEBqamqLzmxoXZnxzZs3M2zYMIYPH87NN9/M3//+d8LCXHUw77rrLtKnXM3R744xalI6Sz/4kKILucy8ejIZhw+TmprqUUJCCF555RWOHj3KM8884wm5PdfFUXmKSx+/lhn3FZ1VZhzg2/8exxar4C8hxXww4wMGhQxqdrysrOTIyFEEz7mXyFZ8cfiLk4cu8MlLexk2JZaJtyV2tTidgip/7aKqvJySgnzKS4oRGoHZHog1MAhtJ5U4V69z78GvZcaFEL7tS+lHKnUWAmuaF7XCohAGA8YhQ7qk5Hhz9EsOJXVSX/auO8XpjPyuFkfRiehNJoKiogmLjcNktVNWeNFdgPCsyvZW+IR2KQohxHtet/eBeZ0sV5fh0FkJcbg+bC3Ve6rBnJpC+cGDSGf3Sna7/JYEAsLMfLHoMJXlqhZUT0NnMBAYEUlYrLvEeUmRK9s7+wyVZWVdWjFA0bNor0VRKKW83X27Dfi8M4XqShw6G2HVZUDrLApwlRx3lpRQebx7JbvpjVquvm8IRXnlbHk/s6vFUfgIrd5V4jy8X39XtndFOXlnssg7k0V5cbFSGIoO06yiEEJcLYQIdt8fJYSoyf75n3pDf+sL4boCp8FGhKMUaLknRQ21Jce7j0O7huiEIEZM7cehLdkc35/b1eIofEhttnc8AWEROKurKTibzYVTJ10tW7uZxau4dGjJolgHPOG+vxioBpBSfi+ECBNC3OB+7P/uPb7CYCdclqEV2lZbFMaBAxFmM2VdXMqjKcbOGEBIHyvr//Ut5cWqTWdPR6PRYAkMJCw2jqDIKIRGUHj+HOdPHqc4Pw9ntYqEU7SNlhSFFagJxC+XUnr6bkopc4GnfSVYl2G0oRUSu97WaotCaLWYkpO7nUO7Bq1ew9VzkykvruLLpUe6WhyFnxBCYLLZCekbS3CfvuiNRorzLnD+5HEKc8+r3t6KVtOSorgPeN19/5gQ4tp653tcuy5hculFm87WaosC3A7tw4eRju7pNA7vZ2f0DfEc3XmOzJ1nu1qcS5a2Vo995ZVXSEhIQAhBbm7TW3+LFi0iMTGRxMREFi1a5Dm+a9cuhg4dSkJCAvPnz/f4G/Ly8pg6dSqJiYlMnTqV/HxXZJuUkvnz55OQkEBaWhq7d+9GCIHRbCE4ui+hMf0wWa2uSKmTxynIyaayvKydr4ait9CSokiVUm5x3/8p8KwQYokQYr4Q4p9Aj+uWozW7FIVV07qeFDWYUociy8up+K77viSXTYsjIj6AL989QslFFUbZHtqqKCZMmMDnn39OXFxck2Py8vJ46qmn2LZtG9u3b+epp57yfPE//PDDLFy4kMzMTDIzMz0lx5977jmmTJlCZmYmU6ZM4bnnngNg1apVnrELFy7k4YcfrrOW3mgkMCKKsH5xWIOCqSwvJe90FhdOn1KOb0WTtKQoNtZYEVLKbGAksAwIB/YBd/lWPP+jcysKCy13ufPGu4d2d0Wj1XD13CE4Kp2s/9e36kuhHbSlzDi4yn7Hx8c3O+azzz5j6tSphISEEBwczNSpU1m9ejXZ2dkUFhYyfvx4hBDMmTPHU6Z8+fLl3HfffUDd8uXLly9nzpw5CCEYN24cBQUFZGdnN1hTq9O7O+/1xx4W7nF85546QWVZKVXl5Q2uUfRemq31JKVcUu9xNS5FscyXQnUlBou7JwU6zle03kdviItDY7dTtn8/Qbfc4ivxOkxwlJXxNw1k8/uZHNp8hpQr+na1SO1i03sZ5J5qWFW1I4TF2rji9qRmx7SlzHhycnKr1j19+jSxsbGexzXlyE+fPk2MV/0w7zLlZ8+eJTo6GoDo6GhPmY6m5qoZWx+NRoM1MAhLQCAVJcWUXCygvLiYhY/MJe3q6QyffgP2kLBWPQ9Fz0UVBayHweKyKMxOHYWO1lsUQqPBlJLSbUqON0fa5BiO789l83uZRA0M7PG9K3xFa4oCtobGLDshRJPH2zNXS9Q4vk02O9kX8olNTWPHig/Z+elHJI2byGXXzSQ6oflyNoqei1IU9TDbXe1QzdWCosoinNKJRrQuL9E8NJULby3CWVmJxtB9/fxCI7j6B8n8+7+389nCA9z269HojdquFqtNtPTL3x+0VGa8tRZFTEwMGzZs8DzOysoiPT2dmJgYsrKy6hyvKVMeGRlJdnY20dHRZGdnezrcxcTEcOrUqUavaS1avZ6Zj/6Gi+dy+Gb1p+xft4Zvt3xJdOIgLrvuRhLHXI5Wp746ehOqemw9PH2zq0EiKaosav21KalQVUXFkQxfiddpWAONTL0/hfyzpWxUIbOtprEy443dWqskAKZNm8aaNWvIz88nPz+fNWvWMG3aNKKjo7Hb7WzduhUpJYsXL/aUKZ85c6YnOsq7fPnMmTNZvHgxUkq2bt1KYGBgk9tOLREYEUX6nHn88NW3mDz3h5QVFvKfv/4v/zd/HtuXf0BZces/G4pLG6Uo6mGtsSgcrknEb5IAACAASURBVKSk1tZ7Aq8e2ge7r0Pbm9ghIYy6Np5vv87h268bOjwVDWlrmfGXXnrJYxmkpaUxb56rLNrOnTs990NCQvj973/P6NGjGT16NH/4wx88fbJfffVV5s2bR0JCAgMHDuTaa10R6gsWLGDt2rUkJiaydu1aFixYAMB1113HgAEDSEhI4MEHH2xThFZTGMwWLrt2Bvf/5Z/c9Ks/EBLdl01L3mLhw3NZ+9orXMg62eE1FN0bVWa8HtLppOqpMN6MncYr+gMsvX4pKWEprbtWSjIvn4Bt8mT6/LF+lZPuidMpWf7iN5w7UchtC0YT0qfxHs3dAVX+2j+05nU+f/I4u1eu4PDm9VRXVRGXNoIR02+g/4hRaDSX1jZmb8avZcZ7EkKjoVSYsbqzVtuSSyGEwDJqFCVbv75kQk81GsE1D6SgN2r57P8OUKUaHSlaQXi/eKb9aD4P/f0tJtxxLxeyTvLx/z7DGz97iB2ffKi2pXoYSlE0QqmwYKtsfU8Kb6wTJuA4k03l98d9IJlvsAYZufoHyeRll7Dp393fv6LoPlgCAhk36w7mvfw6N/x8AfbQcDa+/QYLH57Lmn++xPkT33e1iIpOQIUuNEK5sBBY5cpcbotFAWCd6OpTXLJlC8YB/TtdNl/RLzmUkdPi2LX6BH2Tghk0NqqrRVJcQmh1OgaNn8ig8RM5d/wYe9b8h8ObNrB/3Rr6Dk5hxPQZJIwep6KlLlGURdEIFVoLgVVt60lRgyEmBkNcHCWbN/tCNJ8yZkZ/ohMC2bDkCPk5JV0tjuISJSJ+ANc89FMeevUtrrznforzcvn0L8/xfz99gK3LllJSoDouXmr4VVEIIaYLIY4IIY4KIRY0cv5FIcQe9y1DCFHgT/lqqNRasVeXYtK2rd5TDdYJEyjZvh2ne/vqUkGj1XDNA6no9Bo+e+0ADuWvUHQAs83OqBmzuP+vC7npV38gNKYfW957m4WPzOWTvzzPqYP7LhlfXm/Hb3agEEIL/A2YCmQBO4QQK6SUh2rGSCl/4TX+p8AIf8nnjUNnxVh5hgBjdJstCnBtP+UvWULZN3uwjh3jAwl9hy3Y5a/49OW9bHovk8n3DO5qkRSXOBqNloEjxzBw5Bjyzpxm3+erOLjhczK+3kRI31iGTb2OlCuvwmjpvhF3vR1/WhRjgKNSymNSykpgKXBjM+PvBN71i2T1qNbbMDtLCTAEtMuisIwZCzrdJbn9BBCXEspl0+I4tPkMGTtyulqcbkVbq8c+8MADDBs2jLS0NG699VaKixvWp7pw4QKTJ0/GZrPxk5/8pM65yspKHnroIZKSkhg8eDDLlrnKrP35z38mOTmZtLQ0pkyZwokTrja8J06cYOTIkQwfPpyUlBT+8Y9/dODZdj4hffqSPmceD/1jEdMe/jkGs5n1b/2Tf/xoDmv++RJnjx3tahEVjeBPRdEXOOX1OMt9rAFCiDigP64Oe37HabBhkWUEGgPbZVFobVYsw4dTsmVLy4O7KWNn9id6YCAb3j5CwdnSrhan29BWRfHiiy/+//buPD6q6nz8+OfMvmQnK4TIkiAECFsSAkEREEUUlBbEBVCqRenXWkvRH7ZfrRutFvdiUSogKFr7VapYEUEUUCBAWBLZ9yUQIEBCyDpZzu+PO4QEskxgFpKc9+s1r8zcuXPucyeZPHPuPfc5ZGRkkJmZSUxMDDNnzrxsHYvFwosvvsirr7562XPTp08nPDycPXv2sGPHDgYOHAhoVWnT09PJzMxk9OjRPPXUU4BWIHDt2rVs3bqV9evX8/LLL3P8+PEr3FvPMZrMdLvpZu6f/jrj/vomXVIHsvOnVXz09BMs/NMUtq38jjKHKoV/rfBmoqitMlldByjvAT5zVqutvTEhJgkh0oUQ6Tk5OW4JsCookz92UUKA0Z9zjsb3KEA7/FSyYwflZ5vmLLE6vY6hD3VFb9CxVJ2vqNLYMuMBAVqRSSklxcXFtRbos9vtDBgwAIvFctlzc+fO5emnnwa0Sq+hoVol10GDBmGz2QBISUmpqgllMpkwm80AlJaWUtkE5smO6BDLLY88ziPvzmfQg5NwFBXx7aw3ee/RCXw/7z1OHznk6xBbPG+OVcsC2lZ7HA3U9VXnHuB/6mtMSjkbmA3aldnuCPACYfYHwKazNqqER3X21AHkvPkWhWvWEjjiDneG5zX+IRbtfMU7GXy/YCdDH+rqUiVSb/jhg9mcOnzArW2GX9eBQQ9OqnedKykzPnHiRJYsWUJ8fDyvvfaay/Hk5WljOZ555hlWrlxJx44dmTlzJhERETXWmzNnTlVpD4CjR49y++23s2/fPmbMmNHoooC+YrH70fu2kfQaNoKsHT+TueJbMr/7hi1LvyKqU2cShgzj+n4DMJovT6iKZ3mzR7ERiBNCtBdCmNCSweJLVxJCXA8EA+u8GFsNOouWKKwYr+jQE4Alvgv6oKAmffgJ4Lpureh3V0f2pp9i0zeHfB3ONcXVooDz5s3j+PHjdOnShU8//dTl9svLy8nKyiI1NZXNmzfTr18/pk6dWmOdjz76iPT09Bq9m7Zt25KZmcm+ffuYP38+J082ralvhRC07ZrA7Y8/yaRZ8xk4/iFKCwr4dtabvPvIBL6bM4tTh9z7JUGpn9d6FFLKciHEY8C3gB6YK6XcLoR4AUiXUl5IGvcC/5I+HDd3YTpUa6WB4vJiHBUOTPrGlQ0Xej32/v0oXLMGKeU18038SvS6JYazxwtZv/ggwVF2OvYK93VIDX7z94bGlBnX6/WMHTuWGTNmMHHiRJfab9WqFTabjVGjRgEwZswY5syZU/X8d999x/Tp01m1alXV4abqWrduTdeuXfnxxx8ZPXp0Y3btmmELCCTxjlH0uf0uju3aTuaKb9n2wzIyln1NZMc4ug8ZRufUGzFZrL4OtVnz6mWSUsolwJJLlj17yePnvBlTbS5Mh2qu0Dpc+Y58Qq2Nn+XLnjqA/CXfULpnL5brfT9/wpUSQnDTuOvJO1XEd/N2EBBqJaytv6/D8onayozXRUrJ/v37iY2NRUrJV199RefOrg83FkIwYsQIVq5cyeDBg1mxYkVV8tmyZQuPPPIIS5curZqLArT5J1q1aoXVaiU3N5c1a9YwZcqUK9zba4cQgugu3Yju0o1BD05i5+rvyVzxLctn/52VC97n+n430H3wUKLiOjfpL2XXKnU9fS1Mdm06VEu59geXX3qliaI/oJXzaMqJAsBg1HPbo9357OV0lvwjk9HTErEHXv4ttrmrXmb8tttuY8aMGXWuK6XkgQceID8/HyklPXr0YNasWQAsXryY9PR0XnjhBQDatWtHfn4+DoeDL774gmXLlhEfH88rr7zC+PHjeeKJJwgLC2PevHkAPPnkkxQUFDBmzBgAYmJiWLx4MTt37uQPf/hD1Qx5U6dOpXv37h5+V7zL6udP7+F30uu2kRzfs4ufV3zLrrWr2PbDMkLatKXboKHE3zAIe1Cwr0NtNlSZ8Vrs/3k9HT+/hfm9fs+reZ+z4LYF9Aq/smv/9t9xB8bwCGLmzml45SYg58h5Fr26iVZt/LhrSi8MRu+VlFZlxr2jKb7PjuIidq/7iZ9/WEb2nl3o9Hra90qi++ChtO+ZiE6vSp/XxtUy46pHUQurn7NHUdb4yYsu5Zc6gNxPPqGypARdLcMfm5qwGH9ufjCepbO3sXLhboY80EV19RWfM1ltdB98C90H38KZrKNsW7mcHau/Z396GvagYOIHDqHbTTcT0jra16E2SaooYC1sF2a5c2hzUlzpyCfQrqeQDgdF6ZvcEtu1oGPvcJJHtGd32gm2LFezmynXllbRbRk47ldM+scH3Dn1f4noGEf6V4uY9/tH+eSZJ8n8biklhZdfIa/UTfUoanEhUdgcDhCNLzVeo63ERITJROFPP+HnLEHeHCQOb8fZ7ELW/Wc/IZF22iU0/hyOoniS3mAgNimF2KQUCnLPsmP192xftYLl/5zJ9x+8R2xiCl0HDuG6hF7q0FQDVKKohclsoVQasZaWgOXqehQ6qxVbYp8mfz3FpYQQDJ7QhfycYpbN2c4vn+pDqzZ+vg5LUWrlFxxC8p2jSRr5S07u38v21SvYtWY1u9f9iD0omC43DKLrjYMJjWnn61CvSerQUx0KhRWDoxB/o/9V9ShAKzteuncvZSdPuSm6a4PRpOe2RxMwWvR8/Y9Mis83rbLqSssjhCAythNDfjWZR95dwMgpfyQythObl3zJ/Ccf48Npv2PzN4spyr+6z3xzoxJFHYqFFX1ZAQHmgKvqUYCWKIBm16sArSz58EcTKMp3sHT2NirKr/3aQooCYDAaievbn7uefIZH3l1QdRHnDx/M5r1HJ/CfV55n15pVlJWW+DhS31OJog4lOjuG8sIrLjVenfn669GHhjbLRAEQ0T6AwRM6c3xvHis/2oWsbPpDruvS2OqxM2fOJDY2FiEEp0+frloupeTxxx8nNjaWhIQENm/eXOvrN23aRPfu3YmNjeXxxx+vmujn7NmzDB06lLi4OIYOHUpubm6D7c6fP5+4uDji4uKYP3/+lex+s2ULCKT3bSMZ//JbPDBjJr2H38mpQwf4+u0ZzJo0nm/eeZ1DGZuprGiZxTFVoqhDqc6GsbzwikuNVyeEwC+1P4Vr1yKbQDXPK9EpKZLkEe3ZlXaCNZ/ta7YzlzU2UaSmpvLdd99x3XXX1Vj+zTffsHfvXvbu3cvs2bOZPHlyra+fPHkys2fPrlp36dKlgFaccMiQIezdu5chQ4bw8ssv19vu2bNnef7551m/fj0bNmzg+eefr0ouSk2hMe20UVPvzOPuZ//C9f1uYH/6ej7/y7PM/s2D/DD/n5w80Hz/xmujEkUdygx2zBXu6VGAdvipIjeXkh073RDdtSlxeDt6DG5LxvdHSV9yyNfheERjy4z36tWLdu3aXbb8yy+/ZMKECQghSElJIS8vj+zs7BrrZGdnk5+fT79+/RBCMGHCBL744ouq1z/wwAMAPPDAAzWW19but99+y9ChQwkJCSE4OJihQ4dWJR2ldkKno23XBG599HEefe9DRkx5mqi4zmQs+5qPnn6CeVMms+7zT8g7kd1wY02cGvVUhzKDH5aSI27pUQDY+18s52Ht1vWq27sWCSFIHR1LaXEZG746iMlqoMfgtg2/8ArkfbUfx/FCt7Zpam0naETHete5kjLjtTl27Bht2158b6Kjozl27BhRUVE11omOjr5sHYCTJ09WrRsVFcWpU6fqbbeu5YprDCYTnfqm0qlvKiUFBexZ/xM7f1zJ2n8vZO2/FxLRIY7OqTdyfb8b8G/V/IaKq0RRhwqjHYssJsAUQH5p/lVXgDWEhmLu0oXCNWsIfcT3lU89RegEg8Z1xlFcwU//3ovZZqBzSlTDL2yCGioKWJ/aDltc+vflyjqutnslbSm1s/j5kTBkGAlDhpF/+hS71/3E7rWrWfXhHFZ9OIc2nbvSuf+NdEpJxRYY5Otw3UIlijpIkz92WUSgOZByWU5xeTE2o+2q2vRL7c+Z+QuoLCxEZ2++E8lrs+PF8/U7mXy/YBcmi4EOPcPcuo2Gvvl7Q2PKjF8qOjqao0cvzgyclZV12QRD0dHRVTPXXbpOREQE2dnZREVFkZ2dXVVBtq52o6OjWblyZY3lN910k8v7qtQuIDScpBG/IGnEL8jNPsbutT+ya+1qVsydxffz3iOmew+u738DcUn9sfg13euM1DmKOkiTH1bhwK7XkoNbzlMMGABlZRRu2HDVbV3rLlSbDb/On2/f38bRXU1zSthL1VZmvKGJi2ozcuRIFixYgJSStLQ0AgMDaxx2Au2Qkr+/P2lpaUgpWbBgAXfeeWfV6y+MXJo/f36N5bW1e+utt7Js2TJyc3PJzc1l2bJl3Hrrre5+e1q04Kg2pPzyHh587R88MGMmyXeN4dzJEyx7921mTRrHf155nu2rVjTJ8iEqUdRBOGe5s1RqnS53nKew9u6NsFgoXLP2qttqCkwWA3c81oOgcBtLZv3MiYNN/yKm6mXGXTmZ/fbbb1f1DBISEnj44YcBGD58OB06dCA2NpZf//rXNUZSVT/vMWvWLB5++GFiY2Pp2LFj1ZSn06ZNY/ny5cTFxbF8+XKmTZtWb7shISE888wzJCUlkZSUxLPPPktISIjb3helptCYdgy4Zzy/ems29//lDXrdNoKcw4dY+o83mPXrcSx6+Tm2rfyOkoKmkTRUmfE6bFj0FsmZz7J01Fye3Pocc26ZQ3JU8lW3e2TSJMqOHKXj0m/cEGXTUHiulEUzNlFaVM6oP/S+4lIfTbH8dVOk3mfPkJWVnNi/l91pP7F3/Rryc06h0+uJ6d6TTimpxCamYPUP8GpMrpYZVz2KOugt2i/MpBWQdUuPAsBvwAAchw7hyGo5I07sgWbufKIXeqOOxW9v5VxOsa9DUhSvEzodUXHXc9P4h3j473O4f/rr9Ln9LnKPZ7Hs3bd595HxfDb9GTJXLL3mSoioRFEHo01LFMZS7QI5d5yjgGrlPNY2z6u06xIQamXk73pSUV7J4re2UJhX6uuQFMVnLtScuvH+iTz09vuM++ubJN4xinMnT7B89kzenTSeT5+bxqavvyQ/x/c14lSiqIPJmSjMpVc/J0WNdjt0wBAZSeFPLStRALRq7ceIx3pSfL6MxW9vpShfFRFUFCEEER1iueG+B/nVW7MZ/8rb9P3FWEoKzrNywT/552O/4sNpvyPt839x+uhhn1wRrobH1sHsp41/1hWXYBAGt/UohBDYB6RyftlyZHk5wtCyfgUR7QMY/psEvp6ZwaJXN3HnE73wD2n6M/8pijsIIQhv14Hwdh1Ivft+ck8cZ9+GdezduI41//6INf/+iOCo1sQm9SM2qR9RsZ0QOs9/31c9ijpY7Np0qLL0vFsqyFbnl5pKZX4+Jdu2ua3NpiT6+mBG/k7rWSyasYncE+69wlpRmovgyNYkjfwl9734Ko+8u4CbH/4NAWERbPr6Cz55Ziqzf/MghXmer9nVsr7ONoLNPxiAipJ8AqzuqfdU1XZKCghBwU9rsNZRAqK5i4oN4q4pvfjq7a3857XNjHi8J2Ft/X0dlqJcs/yCQ+gxdDg9hg6npKCAA1s2cnz3Tq9c/a16FHWw+2s9CkrOu63e0wWG4GAs3bs327Ljrgpr68+oP/RGb9DxxetbyN6X5+uQGtTY6rEPPfQQPXr0ICEhgdGjR1PgHDe/evVqevfujcFg4LPPPqvz9Q6Hg0mTJtGpUyc6d+7M559/DsDrr79OfHw8CQkJDBkyhMOHDwOwdetW+vXrR9euXUlISODTTz+tamvFihX07t2bnj17MmDAAPbt23clb4FyDbD4+RF/wyBufvg3XinFohJFHQxGE8XSBI4Ct1WQrc6e2p/izEwqzl1bw+C8LTjSzi+e7IMtwMTit7ZyZPsZX4dUr8YmijfeeIOMjAwyMzOJiYlh5syZAMTExPDBBx9w33331fv66dOnEx4ezp49e9ixYwcDBw4EtKq06enpZGZmMnr0aJ566ikAbDYbCxYsYPv27SxdupQnnniCvDwtAU+ePJmFCxeydetW7rvvPl566aUreQuUFkglinoUChvC4f4eBYD/zTdDRQXnvvzSre02Rf4hFkb9oTeBETa+/kcm+zb5fjhgXRpbZjwgQBs9J6WkuLi46ttfu3btSEhIQNfAici5c+fy9NNPA6DT6QgN1SqTDho0CJtNKy+TkpJSVROqU6dOxMXFAdC6dWvCw8PJyckBtBOl+fna3/G5c+cuqy2lKHVR5yjqUSKs6MsKqyrIupO1a1esvXpxduFCgseN88rIhWuZLcDEqCm9+O/MTJa9vw1HSWfiU+v+R/bNN99w4sQJt8YQGRlZVSKjLldSZnzixIksWbKE+Ph4XnvtNZfjudATeOaZZ1i5ciUdO3Zk5syZRERE1Fhvzpw5tca9YcMGHA4HHTtqBRTff/99hg8fjtVqJSAggLS0NJdjUVq2lv3fqQElOhvG8gICzYGcLztPRaV7p0EMHnc/ZYePUPjjj25tt6ky24yM/F1PoruE8MOHu8hYcbThF/mQq0UB582bx/Hjx+nSpUuNcwYNKS8vJysri9TUVDZv3ky/fv2YOnVqjXU++ugj0tPTL+vdZGdnM378eObNm1fVa3njjTdYsmQJWVlZTJw4kSlTplzF3istiepR1KNUb8fonOUO4LzjPEEW940wCLjlFk6FhXH2o4X4OY89t3RGs57bJyewfO52fvq/vZQWlZF0R/vLTtg19M3fGxpTZlyv1zN27FhmzJjBxIkTXWq/VatW2Gw2Ro0aBcCYMWOYM2dO1fPfffcd06dPZ9WqVZjN5qrl+fn53H777bz00kukpKQAkJOTQ0ZGBn379gVg7NixDBs2rHE7rLRYKlHUo8xgx7/0JIFmbQRUXmmeWxOFMBoJumcsp/8+k9KDBzG3b++2tpsyvVHHLQ935YeFu9n49SGKzpdxw9g4X4cF1F5mvC5SSvbv309sbCxSSr766is6d+7s8raEEIwYMYKVK1cyePBgVqxYUZV8tmzZwiOPPMLSpUur5qIAbZTUqFGjmDBhAmPGjKlaHhwczLlz59izZw+dOnVi+fLlqvCf4jopZZO/9enTR3rCxtd+IbOei5PbTm+T3T7oJr/e/7Xbt1F26pTc0a27zH5putvbbuoqKyrl2kV75cxHVshFr26S27Zt93VIUkop7733Xtm1a1c5derUeterqKiQ/fv3l926dZNdu3aV9913nzx37pyUUsoNGzbINm3aSJvNJkNCQmR8fHzV63r06FF1/9ChQ/KGG26Q3bt3l4MHD5aHDx+WUko5ZMgQGR4eLnv06CF79OghR4wYIaWU8sMPP5QGg6FqeY8ePeSWLVuklFIuWrRIduvWTSYkJMiBAwfK/fv31xr3jh07rvzNUZoUIF268D/Wq2XGhRDDgLcAPfC+lPLlWta5G3gOkECGlLL+8YN4psw4wPq/P0Dcme8JfPYQN3x6A7dcdwvP9X/O7ds59tRTFKz4nthVq9D7Nd+Z767U7vUn+OGjXfS5N4iefbpjNOt9HVKzpsqMtxzXXJlxIYQeeAe4DYgH7hVCxF+yThzwNJAqpewKPOGt+GpTafLDLovR6/T0iejDhhOemZkuZNw4KgsLOffFFx5pv6m7vm8kv3yyDwC5J4soKSzzcUSK0rJ4c9RTMrBPSnlASukA/gXceck6vwbekVLmAkgpfTug3uSPWZThKC2hb2Rfjp4/SnZBtts3Y01IwJKQQO7ChcjKSre33xyExfhjCzRhNOnIP11MQW6JT6poKkpL5M1E0QaoPt4xy7msuk5AJyHEGiFEmvNQVa2EEJOEEOlCiPQLFxS524XpUIvO55EUmQTgwV7F/TgOHqRw7TqPtN8c6HSCoAgbVj8TRfkOzp0qprJCJVZF8TRvJoraCpJc+pXQAMQBNwH3Au8LIWodZiSlnC2lTJRSJoaFhbk10At0zlnuis7nERccR5A5yGOJwn/YMPShoeR++KFH2m9O/FtZ8A+x4CgpJ/dEEeUO917f0pKpXppSG28miiygbbXH0cDxWtb5UkpZJqU8COxGSxw+YbBqPYqSwnPohI6kyCQ2ntjokQ+TzmQi+O67KVi9GseRI25vvzmwWCycOXMGKSVWfxPBkTaklOSeKKK0SJ23uFpSSs6cOYPFouYHUWry5nUUG4E4IUR74BhwD3DpiKYv0HoSHwghQtEORR3wYow1GG3a9ROlhVopheTIZJYfXk7W+SzaBrSt76VXJGjsWE7Pnk3uwo+JeHqa29tv6qKjo8nKyqL6ocbKSknxeQeVRyQmqwGT1YAXimk2WxaLhejoaF+HoVxjvJYopJTlQojHgG/RhsfOlVJuF0K8gDaWd7HzuVuEEDuACuBJKaXPyoleSBSOIq3Ca3JkMqCdp/BEojBGhBNwyy3kLVpE2OO/RWdXQ2WrMxqNtK/losTysgpWfbKHXWuzieoYyOAHuhAUbvNBhIrSPHm11pOUcomUspOUsqOUcrpz2bPOJIHzGpApUsp4KWV3KeW/vBnfpazOWe7Ki7SCgO0D2xNqDfXYeQqA4PHjqDx/nnOLF3tsG82Nwahn8PjODP1VPGezC/n0pQ1sW31MHW9XFDdRRQHrYfHXzqNXFGuJQghBUmQSG05s8Ng/IWvPnli6duXswoXqH10jCCHolBzJPc8kE9UxkFUf7+a/f8+gILfU16EpSpOnEkU9rH5aoqgsPV+1LDkymdPFpzmYf9Aj2xRCEDxuHI59+ylSZaAbzS/YwojHezLw3k4c35fHv15cz56NJ1TSVZSroBJFPex+2qEnWXIxUfSN1Kpvbsze6LHtBgy/DX1wMGc//Mhj22jOhBB0GxjN2D8lExxpY/mcHSx7fzslBWpklKJcCZUo6qE3GCiUFoTjYqKI9o8m0h7J+hPrPbZdndlM0N13U/DDDzicM5cpjRcUYWPU1D6k3NWBA1tz+OSF9Rz6+bSvw1KUJkcligYUCSs6R0HVYyEEyZHJpJ9Ip1J67qrg4HvvAZ2O3I8/8dg2WgKdTtBnWDvGPJ2I1d/I1+9k8sOHO3GUlPs6NEVpMlSiaECxzoa+rKDGsuTIZHJLc9mXt89j2zVGRuI/dCh5n31GZVGRx7bTUoRG+zNmWhK9b41h59psFv45jV3rspGV6tyFojREJYoGlOpsGMoLayyrup4i23PDZEGr/1SZn8+5r/7r0e20FHqjjn6jYvnlU4n4h1hYMX8nn72STvb+c74OTVGuaSpRNKBUb8dUUTNRRPlFEe0X7dHrKQCsffpg7tyZ3I8+UqN23CiifQC/fLIPN0+MpzCvlEUzNrFsznbOny3xdWiKck1SiaIBZXo7lorLD/0kRyWTfjKdikrPFaQTQhAyfhyle/dStMFzo6xaTpKJLAAAErVJREFUIqETXN83kvtf6Efi8HYc2JrDx39OY8NXByhTRQYVpQaVKBpQbrRjlrUkishkzjvOsyt3l0e3H3D77eiDgsh5801kmRre6W5Gs56+Iztw33N9adcjlI1fH+LjP6exZ4O69kJRLlCJogEVRj9sdSQK8Oz1FAA6i4WIP/2J4i1bOPXGmx7dVksW0MrKrQ93Y9TU3lj9TSyfu4NFMzZx8mC+r0NTFJ9TiaIB0uSHTRZfNvNcmC2MdgHtPH6eAiBwxB0E33cvZ+fOJX/5co9vryVrHRvEmGmJDJ7QmfzTJXz2Sjpf/T2D43vzfB2aoviMShQNMftjEhWUlhZf9lTfqL5sOrmJskrPHxIKnzYNS/fuZD/9RxyHD3t8ey2Z0Am69G/N/S+k0PfODuQcyec/r21m0aubOPTzaXVISmlxVKJogDA7Z7nLz73suaTIJIrKi9hxZofH49CZTES/+QZCryfrd09QWaJG6HiayWIg8bZ2jJ/enxvGxnH+bAlfv5PJp9M3snfjSSrVNRhKC6ESRQP0znmziwsvH2tfNY+2h6+nuMDYpg2tZ/yN0l27OPHii17ZpgJGk56EQW0Z92I/hjzQhcrySpbN2c7CP6ex/cdjVJSpebuV5k0ligborVphwOLzlx+jDrGEEBcc55XzFBf43XgjrSY/yrnPF5H3+ede264Cer2Ozv2iuPfZvtz2SHcsNgMrF+5mwf+uZcuyIziKVVkQpXny5lSoTZLJpvUoHEW1j35Jjkzm8z2f46hwYNKbvBJT2GOPUZKRwYkXXsQSH4+lSxevbFfRCJ2gQ68w2vcMJWtXLpuWHmbton1s+O8BYnuH0yW1NVGxgQg1J6vSTKgeRQNMdm1OigvToV4qKTKJkooSMnMyvRaT0Otp/eqr6IOCyPrdE1TkqyGcviCEoG2XEO76fS/GPJ1Ip76R7N+aw39e28zCZ9PYtPQQhXlq4iSl6VOJogHmqulQa08UiRGJCAQbT3j3ymlDSAht3niDsuPHOf7HP6qROD4Wfl0Ag+7vzMRXBjDkwS7Yg8ykfXGA+U+v4b/vZHBgSw4V5epchtI0qUNPDbBdmA612uRF1QWaA+kc0pkNJzYwmcneDA1b715EPDmVk399mbNz59HqoV95dfvK5YxmPZ1TouicEkXeySJ2rctm17psvvn5Z6z+Rjr1jaRLvyhatfHzdaiK4jKVKBpgdSYKWVL34Z3kyGQ+3vUxJeUlWAwWb4UGQPCECRRt3sKp11/HmtAdW1KSV7ev1C0owkbKXR1JHtGeIzvOsnNtNj9/n0XGd0cJirDRLiGU9j1CiewQiE6nzmco1y6VKBpgswVQKQWUFtS5TnJUMvN3zGdrzlZSolK8GJ12nDxq+kuU7t5N1pQpdFi0CENYmFdjUOqn0+to1z2Udt1DKcp3sH/zKQ5mnibz+6NsXX4Eq7+R67qH0j4hlLbxIRhNel+HrCg1qETRAJ1ex3ks4Kj90BNAn4g+6IWeDdkbvJ4oAPR+frR56y0OjR3LsSl/IHrWLPR+dq/HoTTMFmCi+03RdL8pmtLico5sP8PBjNMc2JLDrrXZ6I062nYJoX0PLbHYArwzkk5R6qMShQuKhRW9o+4ehd1op2urrl69nuJSlus7EfXC8xz/f9M4cMcdRD7zv/gPGeKzeJSGma0G4hIjiEuMoKKikuN78ziYcZqDGTkcyjwNAsLa+tM6LojWcUFExQZi9VOJQ/E+lShcUKyzoy+vO1GAdvjpg20fUFRWhM1o81JkNQWOHImxbVtO/Pk5sv7nMfxuHkLkn/6EMSrKJ/EortPrdbTtHELbziHccHccZ44VcDDjNMd257Jt9TEyVhwFIKS1ndaxQVXJwx5k9nHkSkugEoULSnQ2jJdMh3qppMgk3v/5fTaf2syANgO8FNnlbL160f7zzzg7fz45M9/hwO13EPbE7wi+/36EXh37bgqEEIRG+xMa7U/S7e2pKKvk1OF8ju/L4/jePHavP8G21ccACAizakkjNpCwGH+CI+3oDWrUu+JeKlG4wKG3YSy/fE6K6nqF98KgM7Ahe4NPEwWAMBpp9fDD+A8bxonnX+DkX/7KuS8XE/n881i7dfVpbErj6Y06omKDiIoNos8wqKyo5HRWAcf35jkPV2nnNwB0ekFIazuhbf0JjfYjrK0fraL9MVvVR125cuqvxwVlBj/8y87Uu47VYCUhNMGn5ykuZYqOpu3s9zi/dCkn/vIXDt19NyHjxxH628fVye4mTKfXEX5dAOHXBdDz5hhkpSTvVBGnjxZwOus8OUcLOPzz6arkARAQaqlKHiFRdgLDbQSGW9UIK8UlKlG4oMJgx1JZf48CtPMUszNnk+/IJ8AU4IXIGiaEIOC227CnppLz5pucXfAh+d8uUye7mxGhEwRH2gmOtBOXFAGAlJKifAenjxaQc/R8VRI5sCWnxmvtQWaCwq1ViSPI+TMwzIrBqJKIolGJwgWVJj9sXD5x0aWSI5N5N+NdNp3YxKCYQV6IzHX6gAAin32WwJEjyX72z2T9z2OY47tg79cPe0o/bH16o7P55iS84n5CCOyBZuyBZq7r1qpquaOknHOnisk7VcS5U0XknSrm3KkiDmzNoaSg2gRcAvyCzPgFm7EHWfALvnDfjF+w9tgWaEKvV+dDWgKVKFxQafLHLouQlZUIXd0fjISwBMx6M3O3zaW4vJiU1imEWEK8GGnDrD170v7zz8j95F+cX7aMsws+5OycuWA0Yk1IwJ6Sgj2lL5YePdCZ1FDM5sZkMRAW409YjP9lz5UWlVUljrxTxeSfLqYgt5Qzxwo4vO005Y5LalUJsPmbtKQRYMLiZ8TqZ8Lib8Ra474Jq58Ro0WvKuo2UcKbxeSEEMOAtwA98L6U8uVLnn8QmAEccy6aKaV8v6F2ExMTZXp6upujvWjdgmfod+Btip/Mwmq//ANW3Zyf5zB321zyHVrJjy4hXejfuj/9W/enZ3hPr5Uid1VlcTFFmzdTlJZGYdp6SrZvh8pKhMWCrU8fbCl9sfVJxNg6CkNICEIljxZJSomjuJyC3FIK8kopzC2lILek6n7ReQclBWUUny+rs/ihziCw2o2YrAZMVgNmqwGTzXnfYri43LnMaNZjNOkxmHUYTXqMZj0Gkx6DSacSjpsIITZJKRMbXM9biUIIoQf2AEOBLGAjcK+Ucke1dR4EEqWUjzWmbU8nivWf/o2+O6dz+tGfCY2MaXD9isoKdpzZwbrsdaw9vpaMUxmUy3KsBiuJEYlViaN9YPtr7g++Ij+fovR0CtelUZSWRunevTWe1wcGog8LxRAahqFVKwyhoRjCQtG3CsUQGorOz47ObEaYTBdvZjPCaEJnMoLReM3ts+I+UkrKSiuqkkZxgeOy+47ickqLy3EUl+Moqai635iZAg0mXbXEocdg1KE36NAbddr96o+dP/VGHXq9QKfXoTMI9HodOr1w3nToDc7nqpYJhE6gc96E3vlTd/lPodMO9+l0AgTacuFcXv0+ApzrCoHPPwuuJgpvHnpKBvZJKQ8ACCH+BdwJeH7C6auks2onpsvfG8wxYUCi/XIv/gSqLZOAP3CL81YkYJsFtliK2FK8mh+P/QhAQIXEJC/WehdSa6X6DUDniwri4cBI8CvUEXMCAgolfoUQUJiPf9E5/I/sx38X+BeCuazB1qpUAhUGKNeB1GnvXaUAWd+tegPVPle1vS3Sxc9do95SldfcRgBm5+1SUuip0Fmp0Fup1Fup1Jmp1Jmo1JmRzp+VwuRcZkI6ny/XmSgTBqTOSKUwIoUBqTMghfPxhfs6I4hr8AS9rKTqv0i1+yBB4vyPIi8ulxf+y2jrjH4pkdDINh4N0ZuJog1wtNrjLKBvLev9UghxI1rv4/dSyqO1rIMQYhIwCSAmpuFv+VejfdJw0vavQldZipAXf2EX/n9U/6WJOv4FxQKxpTCmFHJ0ZWw3lXDAUEqF0F5XWdWCptL5SOL6Pz+PsMHZDnC2nlWMDom9SGIvrMToAEOFRF/h/FnOxfsVoC+XGCpAV+FMjFJLt9r92m7V3s9qd2t7S4QHEqon2lTqU+K85dZYKgC91G5cxbQe2q9TjxT6y35KYbhkmUA7Sq5DCl2NnxfvX1hPx4Wvd9pyUW09Ue2x8wulqPn44uug2ldH5/KL9y8uv7jMYPB8fTlvJoraPtuXfgy/Aj6RUpYKIR4F5gODa2tMSjkbmA3aoSd3Bnqp0KgYQn//iVvbvNWtrSmKoniON8e2ZQFtqz2OBo5XX0FKeUZKeWHuyH8CfbwUm6IoilIHbyaKjUCcEKK9EMIE3AMsrr6CEKJ69bqRwE4vxqcoiqLUwmuHnqSU5UKIx4Bv0Q78zZVSbhdCvACkSykXA48LIUYC5WiHxR/0VnyKoihK7bx6HYWneHp4rKIoSnPk6vBYdf29oiiKUi+VKBRFUZR6qUShKIqi1EslCkVRFKVezeJkthAiBzh8hS8PBU67MZymQO1zy9DS9rml7S9c/T5fJ6UMa2ilZpEoroYQIt2Vs/7NidrnlqGl7XNL21/w3j6rQ0+KoihKvVSiUBRFUeqlEoWzsGALo/a5ZWhp+9zS9he8tM8t/hyFoiiKUj/Vo1AURVHq1WIShRBimBBitxBinxBiWi3Pm4UQnzqfXy+EaOf9KN3Hhf2dIoTYIYTIFEKsEEJc54s43amhfa623mghhBRCNPkRMq7ssxDibufversQ4mNvx+huLvxtxwghfhBCbHH+fQ/3RZzuIoSYK4Q4JYTYVsfzQgjxtvP9yBRC9HZ7EFLKZn9Dq1a7H+gAmIAMIP6SdX4DvOu8fw/wqa/j9vD+DgJszvuTm/L+urrPzvX8gdVAGtr87D6P3cO/5zhgCxDsfBzu67i9sM+zgcnO+/HAIV/HfZX7fCPQG9hWx/PDgW/QJodLAda7O4aW0qOomq9bSukALszXXd2daDPqAXwGDBG+nvn8yjW4v1LKH6SURc6HaWgTSTVlrvyOAV4E/oY232ZT58o+/xp4R0qZCyClPOXlGN3NlX2WQIDzfiCXTJDW1EgpV1P/bMR3AgukJg0IumRun6vWUhJFbfN1XzobedU6Uspy4BzQyivRuZ8r+1vdQ2jfSJqyBvdZCNELaCul/K83A/MgV37PnYBOQog1Qog0IcQwr0XnGa7s83PAOCFEFrAE+K13QvOZxn7eG82bc2b7kivzdbuyTlPh8r4IIcYBicBAj0bkefXusxBCB7xB85oMy5XfswHt8NNNaL3GH4UQ3aSUeR6OzVNc2ed7gQ+klK8JIfoBHzr3udLz4fmEx/93tZQeRYPzdVdfRwhhQOuy1tfdu5a5sr8IIW4G/gSMlBfnKm+qGtpnf6AbsFIIcQjtWO7iJn5C29W/6y+llGVSyoPAbrTE0VS5ss8PAf8GkFKuAyxoNZGaK5c+71ejpSSKBufrdj5+wHl/NPC9dJ4paoJcmZ+8F/AeWpJo6setoYF9llKek1KGSinbSSnboZ2XGSmlbMpTI7ryd/0F2sAFhBChaIeiDng1SvdyZZ+PAEMAhBBd0BJFjlej9K7FwATn6KcU4JyUMtudG2gRh56ka/N1z0Hrou5D60nc47uIr46L+zsD8AP+z3nO/oiUcqTPgr5KLu5zs+LiPn8L3CKE2AFUAE9KKc/4Luqr4+I+/wH4pxDi92iHYB5swl/6EEJ8gnboMNR53uXPgBFASvku2nmY4cA+oAiY6PYYmvD7pyiKonhBSzn0pCiKolwhlSgURVGUeqlEoSiKotRLJQpFURSlXipRKIqiXGMaKgR4Be39zVkUcqezgGCjyhOpRKEoinLt+QBwS7kVIUR/IBVIQLvoNIlGVmJQiUJRFOUaU1shQCFERyHEUiHEJiHEj0KIzq42h3bRoQkwo12DcbIx8ahEoSgeIIR4VAix1Xk7KIT4wdcxKU3ebOC3Uso+wFTgH668yFnG5Acg23n7Vkq5szEbbhFXZiuKtzmvmH1XCGEEvgde93FIShMmhPAD+nOxkgJovQOEEL8AXqjlZceklLcKIWKBLlycSmC5EOJGZ6/FJSpRKIpnvYVWN+wrXweiNGk6IE9K2fPSJ6SUi4BF9bx2FJAmpSwAEEJ8g1YU0+VEoQ49KYqHCCEeBK4DnvdxKEoTJ6XMBw4KIcZA1fSnPVx8+RFgoBDC4OzhDgQadehJJQpF8QAhxIXjyOOa8TwIioc4CwGuA64XQmQJIR4C7gceEkJkANupfQbH2nyGNn3sz2hTx2Y0toerigIqigcIIeYBtwIXSrinSykf9mFIinLFVKJQFEVR6qUOPSmKoij1UolCURRFqZdKFIqiKEq9VKJQFEVR6qUShaIoilIvlSgURVGUeqlEoSiKotRLJQpFURSlXv8fmCtUfm6Sqb8AAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc76dca90>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=[10,5])\n", | |
"x = linspace(-1.,1.,40)\n", | |
"plt.plot(x, erf(x), '.', label=r'$erf(\\zeta)$')\n", | |
"plt.plot(x, 2/pi**(1/2)*(x-x**3/3+x**5/10), \n", | |
" '--', label='Taylor 3.T')\n", | |
"plt.plot(x, 2/pi**(1/2)*(x-x**3/3+x**5/10-x**7/42+x**9/216), \n", | |
" '-', label='Taylor 4.T')\n", | |
"plt.plot([-1,0,0], erf([0,0,-1]))\n", | |
"plt.xlabel(r'$\\zeta$')\n", | |
"plt.legend()\n", | |
"\n", | |
"e = erf(x)-2/pi**(1/2)*(x-x**3/3+x**5/10)\n", | |
"print('Taylor 3.T')\n", | |
"print('(eTe)^(1/2)={:0.4f}'.format((e.T.dot(e))**(1/2)))\n", | |
"\n", | |
"e = erf(x)-2/pi**(1/2)*(x-x**3/3+x**5/10-x**7/42)\n", | |
"print('Taylor 3.T')\n", | |
"print('(eTe)^(1/2)={:0.4f}'.format((e.T.dot(e))**(1/2)))\n", | |
"\n", | |
"plt.figure()\n", | |
"z = linspace(0,1,30)*1e-8\n", | |
"c10, c1u = 1, 0.5\n", | |
"d12 = 1e-9\n", | |
"for i in range(0,8):\n", | |
" t = 10**(i/2-2)\n", | |
" c1 = (c1u-c10)*erf(z/(4*d12*t))+c10\n", | |
" plt.plot(z, c1, label='t={:0.4f}'.format(t));\n", | |
"plt.xlabel('z')\n", | |
"plt.ylabel(r'$\\widetilde{c}_{1}$')\n", | |
"plt.suptitle(r'$\\widetilde{c}_{1}='+\n", | |
" r'(\\widetilde{c}_{1,\\infty}-\\widetilde{c}_{1})'+\n", | |
" r'\\cdot erf \\left('+\n", | |
" r'\\frac{z}{\\sqrt{4\\delta_{12}t}}'+\n", | |
" r'\\right)+\\widetilde{c}_{1,0}'+\n", | |
" '$')\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"0.0" | |
] | |
}, | |
"execution_count": 17, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc6fb54e0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"vk=0.5\n", | |
"ha = linspace(0,5,30)\n", | |
"\n", | |
"def sinh(x):\n", | |
" return (exp(x)-exp(-x))/2\n", | |
"def cosh(x):\n", | |
" return (exp(x)+exp(-x))/2\n", | |
"\n", | |
"plt.plot(ha, ((1+vk)*exp(ha)-(1-vk)*exp(-ha))/(\n", | |
" (1+vk)*exp(ha)+(1-vk)*exp(-ha)))\n", | |
"plt.plot(ha, \n", | |
" (sinh(ha)+vk*cosh(ha))/(cosh(ha)+vk*sinh(ha))\n", | |
" )\n", | |
"sinh(0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 135, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc8ab5898>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc8c03358>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc8c3af28>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"file = open('Masse _g_.csv', 'r')\n", | |
"data = []\n", | |
"for i in range(1024):\n", | |
" line = file.readline()\n", | |
" if len(line)==0:\n", | |
" break\n", | |
" data += [[float(x) for x in \n", | |
" line.replace('\\n', '').replace(',', '.').split(';')]]\n", | |
"file.close()\n", | |
"data = array(data)\n", | |
"data = data[data[:,1]>=0]\n", | |
"plt.plot(data[:,0], data[:,1], '.')\n", | |
"plt.xlabel('Zeit / min')\n", | |
"plt.ylabel('Masse / g')\n", | |
"m_data = data\n", | |
"\n", | |
"plt.figure()\n", | |
"\n", | |
"file = open('pH.csv', 'r')\n", | |
"data = []\n", | |
"for i in range(1024):\n", | |
" line = file.readline()\n", | |
" if len(line)==0:\n", | |
" break\n", | |
" data += [[float(x) for x in \n", | |
" line.replace('\\n', '').replace(',', '.').split(';')]]\n", | |
"file.close()\n", | |
"data = array(data)\n", | |
"data = data[data[:,1]>=0]\n", | |
"plt.plot(data[:,0], data[:,1], '.')\n", | |
"plt.xlabel('Zeit / min')\n", | |
"plt.ylabel('pH [-]')\n", | |
"ph_data = data\n", | |
"\n", | |
"plt.figure()\n", | |
"\n", | |
"file = open('Temperatur __C_.csv', 'r')\n", | |
"data = []\n", | |
"for i in range(1024):\n", | |
" line = file.readline()\n", | |
" if len(line)==0:\n", | |
" break\n", | |
" data += [[float(x) for x in \n", | |
" line.replace('\\n', '').replace(',', '.').split(';')]]\n", | |
"file.close()\n", | |
"data = array(data)\n", | |
"data = data[data[:,1]>=0]\n", | |
"data[:, 1] = (23 - 19.5)/(16-0) * (data[:, 1] - 0) + 19.5\n", | |
"plt.plot(data[:,0], data[:,1], '.')\n", | |
"plt.xlabel('Zeit / min')\n", | |
"plt.ylabel('Temperatur / °C')\n", | |
"temp_data = data\n", | |
"\n", | |
"zeit=array(\n", | |
" m_data[:,0].tolist()+\n", | |
" temp_data[:,0].tolist()+\n", | |
" ph_data[:,0].tolist()\n", | |
")\n", | |
"zeit = unique(zeit)\n", | |
"zeit.sort()\n", | |
"\n", | |
"m = interp(zeit, m_data[:,0], m_data[:,1])\n", | |
"ph = interp(zeit, ph_data[:,0], ph_data[:,1])\n", | |
"temp = interp(zeit, temp_data[:,0], temp_data[:,1])" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$\\widetilde{c}_1=\\frac{1}{\\frac{x_1}{\\rho_1}+\\frac{1-x_1}{\\rho_2}}\\cdot \\frac{x_1}{\\widetilde{M}_1}$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 203, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc9f939b0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"m0 = 160.56 # g\n", | |
"temp0 = 20 # °C\n", | |
"xnaoh0 = 1/(0.998/(0.75e-3*40)-(0.998/2.130-1))\n", | |
"rho_l = 1/(xnaoh0/2.130+(1-xnaoh0)/0.998) # g/ml\n", | |
"v0 = m0*rho_l # ml\n", | |
"m_co2 = 12+32 # g/mol\n", | |
"cna0 = 0.75 # mol/l\n", | |
"coh0 = 0.75/2+((0.75/2)**2+10**-14)**(1/2) # mol/l\n", | |
"cc0 = 0\n", | |
"\n", | |
"def pk1(t):\n", | |
" return 17052/t+215.21*log10(t)-0.12675*t-545.56\n", | |
"def pk2(t):\n", | |
" return 2902.39/t+0.02379*t-6.4980\n", | |
"def pkw(t):\n", | |
" return 4471.33/t+0.017053*t-6.0846\n", | |
"\n", | |
"coh = symbols('coh')\n", | |
"coh_berechnet = empty_like(zeit)\n", | |
"ph_berechnet = empty_like(zeit)\n", | |
"\n", | |
"for i in range(len(zeit)):\n", | |
" cc = m[i]/m_co2/v0*1000 # mol/l\n", | |
" k1 = 10**-pk1(temp[i]+273.15)\n", | |
" k2 = 10**-pk2(temp[i]+273.15)\n", | |
" kw = 10**-pkw(temp[i]+273.15)\n", | |
" soln = roots(\n", | |
" k1/kw*k2/kw*coh**4+\n", | |
" (k1/kw-cna0*k1/kw*k2/kw+2*cc*k1/kw*k2/kw)*coh**3+\n", | |
" (1-cna0*k1/kw-k1/kw*k2/kw*kw+cc*k1/kw)*coh**2-\n", | |
" (cna0+k1/kw*kw)*coh-\n", | |
" kw\n", | |
" ,coh)\n", | |
" coh_berechnet[i] = list(soln)[-1]\n", | |
" ph_berechnet[i] = -log10(kw) - (-log10(coh_berechnet[i]))\n", | |
"\n", | |
"plt.plot(zeit, ph_berechnet, '.', label='berechnet')\n", | |
"plt.plot(zeit, ph, 'o', fillstyle='none', label='gemessen')\n", | |
"plt.xlabel('Zeit / min')\n", | |
"plt.ylabel('pH')\n", | |
"plt.legend();" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 124, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x28dc73cafd0>]" | |
] | |
}, | |
"execution_count": 124, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc73cabe0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(ph_data[:,0], ph_data[:,1], 'o', fillstyle='none')\n", | |
"plt.plot(zeit,interp(zeit, ph_data[:,0], ph_data[:,1]),'.')\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 125, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x28dc79bf828>]" | |
] | |
}, | |
"execution_count": 125, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x28dc79bf6a0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.plot(temp_data[:,0], temp_data[:,1], 'o', fillstyle='none')\n", | |
"plt.plot(zeit,interp(zeit, temp_data[:,0], temp_data[:,1]),'.')\n" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.6.3" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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