diff --git a/README.md b/README.md index 8145faf..134beea 100644 --- a/README.md +++ b/README.md @@ -49,7 +49,7 @@ Jupiter notebook (with matlab or octave kernel) ### Note on Homework and online forms -The Homeworks are graded based upon effort and completeness. The forms are not graded at +The Homeworks are graded based upon effort, correctness, and completeness. The forms are not graded at all, if they are completed you get credit. It is *your* responsibility to make sure your answers are correct. Use the homeworks and forms as a study guide for the exams. In general, I will not post homework solutions. diff --git a/lecture_16/.compiled_data.csv.swp b/lecture_16/.compiled_data.csv.swp deleted file mode 100644 index 70ab7de..0000000 Binary files a/lecture_16/.compiled_data.csv.swp and /dev/null differ diff --git a/lecture_16/lecture_16.ipynb b/lecture_16/lecture_16.ipynb index be266b3..7ab08d2 100644 --- a/lecture_16/lecture_16.ipynb +++ b/lecture_16/lecture_16.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 171, "metadata": { "collapsed": true }, @@ -13,7 +13,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 172, "metadata": { "collapsed": true }, @@ -119,7 +119,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 173, "metadata": { "collapsed": false }, @@ -773,7 +773,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 174, "metadata": { "collapsed": false }, @@ -811,7 +811,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 175, "metadata": { "collapsed": false }, @@ -830,7 +830,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 177, "metadata": { "collapsed": false }, @@ -849,7 +849,7 @@ }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 180, "metadata": { "collapsed": false }, @@ -896,561 +896,539 @@ "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", "\n", "\n", "\n", "\n", - "\t\t\n", + "\t\t\n", "\t\t0\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t0.05\n", + "\t\t\n", + "\t\t5\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t0.1\n", + "\t\t\n", + "\t\t10\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t0.15\n", + "\t\t\n", + "\t\t15\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t0.2\n", + "\t\t\n", + "\t\t20\n", "\t\n", "\n", "\n", - "\t\t\n", + "\t\t\n", "\t\t-20\n", "\t\n", "\n", "\n", - "\t\t\n", + "\t\t\n", "\t\t-15\n", "\t\n", "\n", "\n", - "\t\t\n", + "\t\t\n", "\t\t-10\n", "\t\n", "\n", "\n", - "\t\t\n", + "\t\t\n", "\t\t-5\n", "\t\n", "\n", "\n", - "\t\t\n", + "\t\t\n", "\t\t0\n", "\t\n", "\n", "\n", - "\t\t\n", + "\t\t\n", "\t\t5\n", "\t\n", "\n", "\n", - "\t\t\n", + "\t\t\n", "\t\t10\n", "\t\n", "\n", "\n", - "\t\t\n", + "\t\t\n", "\t\t15\n", "\t\n", "\n", "\n", "\n", "\n", - "\t\n", - "\n", - "\t\n", - "\t\trelative counts\n", - "\t\n", - "\n", - "\n", - "\t\n", - "\t\tx position (cm)\n", - "\t\n", - "\n", + "\t\n", "\n", "\n", "\tgnuplot_plot_1a\n", - "\n", + "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_2a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_3a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_4a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_5a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_6a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_7a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_8a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_9a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_10a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_11a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_12a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_13a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_14a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_15a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_16a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_17a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_18a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_19a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_20a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_21a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_22a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_23a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_24a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_25a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_26a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_27a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_28a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_29a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_30a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_31a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_32a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_33a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_34a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_35a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_36a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_37a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_38a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_39a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_40a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_41a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_42a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_43a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_44a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_45a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_46a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_47a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_48a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_49a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_50a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_51a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_52a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_53a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_54a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_55a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_56a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_57a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_58a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_59a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_60a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_61a\n", "\n", "\n", "\n", - "\t\n", - "\t\n", - "\tgnuplot_plot_62a\n", - "\n", - "\t\n", - "\t\n", - "\tgnuplot_plot_63a\n", - "\n", - "\t\n", - "\t\n", - "\tgnuplot_plot_64a\n", - "\n", - "\t\n", + "\t\n", "\t\n", - "\n", + "\n", "\n", "\n", "\n", @@ -1470,27 +1448,12 @@ } ], "source": [ - "x_vals=linspace(-15,20,30);\n", - "hist(x_darts,x_vals,1);\n", - "[histFreq, histXout] = hist(x_darts, 30);\n", - "binWidth = histXout(2)-histXout(1);\n", - "bar(histXout, histFreq/binWidth/sum(histFreq));\n", - "pdfnorm = @(x) 1/sqrt(2*s_x^2*pi).*exp(-(x-mu_x).^2/2/s_x^2);\n", - "%cdfnorm = @(x) 1/2*(1+erf((x-mu_x)./sqrt(2*s_x^2)));\n", - "%hist(x_darts,x_vals,trapz(x,f))%,cdfnorm(max(x_darts))/2)\n", - "hold on;\n", - "plot(x_vals,pdfnorm(x_vals))\n", - "n=2; % n=1, 68% confidence, n=2, 95% confidence, n=3, 99% conf\n", - " plot([mu_x+n*s_x,mu_x+n*s_x],[0,0.1],'r-')\n", - " plot([mu_x-n*s_x,mu_x-n*s_x],[0,0.1],'r-')\n", - "\n", - "xlabel('x position (cm)')\n", - "ylabel('relative counts')" + "hist(x_darts,30,100)" ] }, { "cell_type": "code", - "execution_count": 84, + "execution_count": 182, "metadata": { "collapsed": false }, @@ -1628,450 +1591,450 @@ "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_2a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_3a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_4a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_5a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_6a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_7a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_8a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_9a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_10a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_11a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_12a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_13a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_14a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_15a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_16a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_17a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_18a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_19a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_20a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_21a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_22a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_23a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_24a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_25a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_26a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_27a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_28a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_29a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_30a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_31a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_32a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_33a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", 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"\t\n", "\t\n", "\tgnuplot_plot_56a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_57a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_58a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_59a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_60a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_61a\n", "\n", @@ -2081,15 +2044,15 @@ "\t\n", "\tgnuplot_plot_62a\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_63a\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_64a\n", "\n", - "\t\n", + "\t\n", "\t\n", "\n", "\n", @@ -2111,19 +2074,19 @@ } ], "source": [ - "y_vals=linspace(-15,20,30);\n", - "hist(y_darts,y_vals,1);\n", - "[histFreq, histXout] = hist(y_darts, 30);\n", + "x_vals=linspace(-15,20,30);\n", + "hist(x_darts,x_vals,1);\n", + "[histFreq, histXout] = hist(x_darts, 30);\n", "binWidth = histXout(2)-histXout(1);\n", "bar(histXout, histFreq/binWidth/sum(histFreq));\n", - "pdfnorm = @(x) 1/sqrt(2*s_y^2*pi).*exp(-(x-mu_y).^2/2/s_y^2);\n", + "pdfnorm = @(x) 1/sqrt(2*s_x^2*pi).*exp(-(x-mu_x).^2/2/s_x^2);\n", "%cdfnorm = @(x) 1/2*(1+erf((x-mu_x)./sqrt(2*s_x^2)));\n", "%hist(x_darts,x_vals,trapz(x,f))%,cdfnorm(max(x_darts))/2)\n", "hold on;\n", - "plot(y_vals,pdfnorm(y_vals))\n", + "plot(x_vals,pdfnorm(x_vals))\n", "n=2; % n=1, 68% confidence, n=2, 95% confidence, n=3, 99% conf\n", - " plot([mu_y+n*s_y,mu_y+n*s_y],[0,0.1],'r-')\n", - " plot([mu_y-n*s_y,mu_y-n*s_y],[0,0.1],'r-')\n", + " plot([mu_x+n*s_x,mu_x+n*s_x],[0,0.1],'r-')\n", + " plot([mu_x-n*s_x,mu_x-n*s_x],[0,0.1],'r-')\n", "\n", "xlabel('x position (cm)')\n", "ylabel('relative counts')" @@ -2131,7 +2094,7 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 183, "metadata": { "collapsed": false }, @@ -2178,5238 +2141,17319 @@ "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", "\n", "\n", "\n", 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"hold on\n", + "[X,Y]=meshgrid(x,y);\n", + "view([1,1,1])\n", + "\n", + "surf(X,Y,gauss2d(X,Y))" + ] + }, + { + "cell_type": "code", + "execution_count": 190, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\t\n", "\t\n", "\n", - "\n", - "\t\t\n", - "\t\t\n", - "\t\n", + "\n", "\n", "\n", - "\t\t\n", - "\t\t\n", + "\t\t\n", + "\t\t0\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t\n", + "\t\t\n", + "\t\t10\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t\n", + "\t\t\n", + "\t\t20\n", "\t\n", "\n", "\n", - "\t\t\n", - "\t\t\n", + "\t\t\n", + 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"\n", "\n", "\n", - "\t\t\n", - "\t\t\n", + "\t\n", "\t\n", + "\tgnuplot_plot_11a\n", + "\n", "\n", - "\n", - "\t\t\n", - "\t\t\n", + "\n", + "\t\n", + "\t\t\n", "\t\n", - "\n", - "\n", - "\t\t\n", - "\t\t\n", + "\t\n", "\t\n", + "\tgnuplot_plot_12a\n", + "\n", "\n", "\n", - "\t\t\n", - "\t\t\n", + "\t\n", "\t\n", + "\tgnuplot_plot_13a\n", + "\n", "\n", - "\n", - "\t\t\n", - "\t\t\n", + "\n", + "\t\n", + "\t\t\n", "\t\n", - "\n", - "\n", - "\t\t\n", - "\t\t\n", + "\t\n", "\t\n", + "\tgnuplot_plot_14a\n", + "\n", "\n", "\n", - "\t\t\n", - "\t\t\n", + "\t\n", "\t\n", + "\tgnuplot_plot_15a\n", + "\n", "\n", - "\n", - "\t\t\n", - "\t\t\n", + "\n", + "\t\n", + "\t\t\n", "\t\n", - "\n", - "\n", - "\t\t\n", - "\t\t\n", + "\t\n", "\t\n", + "\tgnuplot_plot_16a\n", + "\n", "\n", "\n", - "\t\t\n", - "\t\t\n", + "\t\n", "\t\n", + "\tgnuplot_plot_17a\n", + "\n", "\n", - "\n", - "\t\t\n", - "\t\t\n", + "\n", + "\t\n", + "\t\t\n", "\t\n", - "\n", - "\n", - "\t\t\n", - "\t\t\n", + "\t\n", "\t\n", + "\tgnuplot_plot_18a\n", + "\n", "\n", "\n", - "\t\t\n", - "\t\t\n", + "\t\n", "\t\n", + "\tgnuplot_plot_19a\n", + "\n", "\n", - "\n", - "\t\t\n", - "\t\t\n", + "\n", + "\t\n", + "\t\t\n", "\t\n", - "\n", - "\n", - "\t\t\n", - "\t\t\n", + "\t\n", "\t\n", + "\tgnuplot_plot_20a\n", + "\n", "\n", "\n", - "\t\n", - "\n", - "\t\n", - "\n", - "\t\n", - "\n", - "\t\n", - "\t\tx position (cm)\n", + "\t\n", "\t\n", + "\tgnuplot_plot_21a\n", + "\n", "\n", - "\n", - "\t\n", - "\t\ty position (cm)\n", + "\n", + "\t\n", "\t\n", + "\n", + "\n", + "\n", + "\n", + "\n", "\n", "\n", "\n", @@ -7425,19 +19469,7 @@ } ], "source": [ - "% plot the distribution in x- and y-directions\n", - "gauss2d = @(x,y) exp(-((x-mu_x).^2/2/s_x^2+(y-mu_y).^2/2/s_y^2));\n", - "\n", - "x=linspace(-20,20,31);\n", - "y=linspace(-20,20,31);\n", - "scatter3(x_darts, y_darts,ones(length(x_darts),1))\n", - "xlabel('x position (cm)')\n", - "ylabel('y position (cm)')\n", - "hold on\n", - "[X,Y]=meshgrid(x,y);\n", - "view([1,1,1])\n", - "\n", - "surf(X,Y,gauss2d(X,Y))" + "hist(darts(:,2))" ] }, { @@ -7473,7 +19505,7 @@ }, { "cell_type": "code", - "execution_count": 96, + "execution_count": 191, "metadata": { "collapsed": false }, @@ -7493,7 +19525,7 @@ }, { "cell_type": "code", - "execution_count": 98, + "execution_count": 194, "metadata": { "collapsed": false }, @@ -7502,15 +19534,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "mean value for pi = 3.132400\n", - "standard deviation is 0.054925\n" + "mean value for pi = 3.138880\n", + "standard deviation is 0.009956\n" ] } ], "source": [ "test_pi=zeros(10,1);\n", "for i=1:10\n", - " test_pi(i)=montecarlopi(1000);\n", + " test_pi(i)=montecarlopi(10000);\n", "end\n", "fprintf('mean value for pi = %f\\n',mean(test_pi))\n", "fprintf('standard deviation is %f',std(test_pi))" @@ -7532,7 +19564,7 @@ }, { "cell_type": "code", - "execution_count": 112, + "execution_count": 196, "metadata": { "collapsed": false }, @@ -7695,300 +19727,300 @@ "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_2a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_3a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_4a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_5a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_6a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_7a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_8a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_9a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_10a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_11a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_12a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_13a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_14a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_15a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_16a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_17a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_18a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_19a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_20a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_21a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_22a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_23a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_24a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_25a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_26a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_27a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_28a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_29a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_30a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_31a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_32a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_33a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_34a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_35a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_36a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_37a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_38a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_39a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_40a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_41a\n", "\n", @@ -8047,7 +20079,7 @@ }, { "cell_type": "code", - "execution_count": 113, + "execution_count": 197, "metadata": { "collapsed": false }, @@ -8146,52 +20178,27 @@ "\n", "\n", "\t\t\n", - "\t\t1.8\n", - "\t\n", - "\n", - "\n", - "\t\t\n", - "\t\t1.82\n", + "\t\t1.75\n", "\t\n", "\n", "\n", "\t\t\n", - "\t\t1.84\n", - "\t\n", - "\n", - "\n", - "\t\t\n", - "\t\t1.86\n", + "\t\t1.8\n", "\t\n", "\n", "\n", "\t\t\n", - "\t\t1.88\n", - "\t\n", - "\n", - "\n", - "\t\t\n", - "\t\t1.9\n", + "\t\t1.85\n", "\t\n", "\n", "\n", "\t\t\n", - "\t\t1.92\n", - "\t\n", - "\n", - "\n", - "\t\t\n", - "\t\t1.94\n", + "\t\t1.9\n", "\t\n", "\n", "\n", "\t\t\n", - "\t\t1.96\n", - "\t\n", - "\n", - "\n", - "\t\t\n", - "\t\t1.98\n", + "\t\t1.95\n", "\t\n", "\n", "\n", @@ -8220,300 +20227,300 @@ "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_2a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_3a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_4a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_5a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_6a\n", "\n", "\n", "\n", - "\t\n", + "\t\n", "\t\n", "\tgnuplot_plot_7a\n", "\n", "\n", "\n", "\t\n", - "\t\t\n", + "\t\t\n", "\t\n", - "\t\n", + "\t\n", "\t\n", 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