diff --git a/Interactions.ipynb b/Interactions.ipynb index 85323b7..af14d52 100644 --- a/Interactions.ipynb +++ b/Interactions.ipynb @@ -53,7 +53,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": { "collapsed": false, "scrolled": true @@ -61,9 +61,9 @@ "outputs": [ { "data": { - "image/png": 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LzazUzAqiqENEkhPJoMpmlu/uNbH7PwJGuftFraynQZVFIpDRgyo3hkdMH2BV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\nAAAAAElFTkSuQmCC\n", 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7RCQ5kQyqbGYF7l4Tu/8joMjdf9jCehpUWSQCGT2ocmN4xPQEGna2rohkrign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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -111,11 +111,11 @@ " plt.ylabel('velocity')\n", " \n", "interact(plot_FPFT, \n", - " F00=widgets.IntSliderWidget(value=1, min=0, max=2.), \n", - " F01=widgets.FloatSliderWidget(value=1, min=0., max=2., description='F01(dt)'),\n", - " F10=widgets.FloatSliderWidget(value=0, min=0., max=2.),\n", - " F11=widgets.FloatSliderWidget(value=1, min=0., max=2.),\n", - " covar=widgets.FloatSliderWidget(value=0, min=0, max=1.));" + " F00=widgets.IntSlider(value=1, min=0, max=2.), \n", + " F01=widgets.FloatSlider(value=1, min=0., max=2., description='F01(dt)'),\n", + " F10=widgets.FloatSlider(value=0, min=0., max=2.),\n", + " F11=widgets.FloatSlider(value=1, min=0., max=2.),\n", + " covar=widgets.FloatSlider(value=0, min=0, max=1.));" ] }, { @@ -131,7 +131,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -140,7 +140,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -148,14 +148,19 @@ } ], "source": [ + "%matplotlib inline\n", "from IPython.html.widgets import interact, interactive, fixed\n", "from IPython.html.widgets import FloatSlider\n", - "from math import cos, sin, pi\n", + "from math import cos, sin, pi, atan2, sqrt\n", + "import numpy.linalg as linalg\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib.patches import Ellipse\n", + "\n", "def plot_covariance_ellipse(P):\n", " U,s,v = linalg.svd(P)\n", - " angle = math.atan2(U[1,0],U[0,0])\n", - " width = math.sqrt(s[0]) * 2\n", - " height = math.sqrt(s[1]) * 2\n", + " angle = atan2(U[1,0],U[0,0])\n", + " width = sqrt(s[0]) * 2\n", + " height = sqrt(s[1]) * 2\n", "\n", " ax = plt.gca()\n", " e = Ellipse(xy=(0, 0), width=width, height=height, angle=angle,\n", @@ -191,16 +196,16 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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/bIfBQDHgDNAbmGU7Pwu433bcB/hOa31Fax0L7AekwpSQP0lMNHnsiYn+6S8+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\nwTWyEgNXK50dKVPG9PHf/+Z9Nk+9eib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mi0gTr+NGRIzvq+0pvnYO80iBi42NJTY2NtiuKkr4YowdtJOSSIyO5tMjR/h4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\nHTE4etQGhufM8b+AfKBg6y2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smV0PWMQWkBOxi9gHWOz93LlzzJ49m0mTJrFhwwbOnj1L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\niqIoqBgoiqIoqBgoiqIoqBgoiqIowP8DW6ZYlXH34GQAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -244,10 +249,10 @@ " plt.show()\n", "\n", "interact (interactive_gh, \n", - " x=widgets.FloatSliderWidget(value=0., min=-50, max=50.), \n", - " dx=widgets.FloatSliderWidget(value=5., min=-50., max=50.), \n", - " g=widgets.FloatSliderWidget(value=0.1, min=0.01, max=2, step=.02), \n", - " h=widgets.FloatSliderWidget(value=0.02, min=0.0, max=0.5, step=0.01));" + " x=widgets.FloatSlider(value=0., min=-50, max=50.), \n", + " dx=widgets.FloatSlider(value=5., min=-50., max=50.), \n", + " g=widgets.FloatSlider(value=0.1, min=0.01, max=2, step=.02), \n", + " h=widgets.FloatSlider(value=0.02, min=0.0, max=0.5, step=0.01));" ] } ], @@ -267,7 +272,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.4.1" + "version": "3.5.0" } }, "nbformat": 4,