From 11d3ba5336ee019fb31aca3ba527a3f4fa459a5e Mon Sep 17 00:00:00 2001 From: "Laurent G. OSSBSS AMIS UCC" Date: Wed, 13 Mar 2019 15:49:14 +0100 Subject: [PATCH] Add files via upload --- ...k Practice Physical Constants Ratios.ipynb | 112 +++++++++++++++--- 1 file changed, 95 insertions(+), 17 deletions(-) diff --git a/Jupyter-Notebook Practice Physical Constants Ratios.ipynb b/Jupyter-Notebook Practice Physical Constants Ratios.ipynb index 073982c..5344393 100644 --- a/Jupyter-Notebook Practice Physical Constants Ratios.ipynb +++ b/Jupyter-Notebook Practice Physical Constants Ratios.ipynb @@ -170,7 +170,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 1, "metadata": { "scrolled": true }, @@ -189,8 +189,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1.42 s, sys: 611 ms, total: 2.03 s\n", - "Wall time: 2.03 s\n" + "CPU times: user 1.73 s, sys: 1.1 s, total: 2.83 s\n", + "Wall time: 2.89 s\n" ] } ], @@ -362,7 +362,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Atiyah key formula\n", + "# Sir Michael Atiyah's key formula\n", "\n", "https://www.reddit.com/r/math/comments/9ig4ei/atiyahs_computation_of_the_fine_structure/\n", "\n", @@ -409,12 +409,12 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 25, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ "
" ] @@ -429,18 +429,23 @@ "#%matplotlib notebook\n", "%matplotlib inline\n", "import pylab\n", + "import numpy as np\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from mpl_toolkits.mplot3d import proj3d\n", "fig = pylab.figure()\n", "ax = fig.add_subplot(111, projection = '3d')\n", - "x = [0, 2, 30, 30, 31.556]\n", - "y = [0, 1, 7, 7, 7.38]\n", - "z = [0, log(log(268.6)), log(log(9.656e82)), log(log(4.258e78)), log(log(2.350e99))]\n", + "x = [0, 10, 10, 14, 14, 14.56, 18, 22, 22, 23.3, 25.17, 26, 30, 30, 31.556]\n", + "y = [0, 1, 2, 3, 3, 3.14, 4, 5, 5, 5.33, 5.78, 6, 7, 7, 7.38]\n", + "z = [0, np.log(np.log(274.072)), np.log(np.log(268.6)), np.log(np.log(83432)), np.log(np.log(83782)), np.log(np.log(245901)), np.log(np.log(6.842e9)), np.log(np.log(1.3011e19)), np.log(np.log(1.834e19)), np.log(np.log(7.52e24)), np.log(np.log(2.46e36)), np.log(np.log(2.126e39)), np.log(np.log(9.656e82)), np.log(np.log(4.258e78)), np.log(np.log(2.350e99))]\n", "sc = ax.scatter(x,y,z)\n", "# now try to get the display coordinates of the first point\n", "\n", - "x2, y2, _ = proj3d.proj_transform(1,1,1, ax.get_proj())\n", + "x2, y2, _ = proj3d.proj_transform(10,2,1.72, ax.get_proj())\n", "x3, y3, _ = proj3d.proj_transform(30,7,5, ax.get_proj())\n", + "x4, y4, _ = proj3d.proj_transform(14.56,3.14,2.51, ax.get_proj())\n", + "x5, y5, _ = proj3d.proj_transform(14,3,2.427, ax.get_proj())\n", + "x6, y6, _ = proj3d.proj_transform(23.3,5.3,4.078, ax.get_proj())\n", + "x7, y7, _ = proj3d.proj_transform(26,6,4.506, ax.get_proj())\n", "\n", "label = pylab.annotate(\n", " \"Mean Pion\", \n", @@ -450,6 +455,34 @@ " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", "\n", "label = pylab.annotate(\n", + " \"Rydberg Wavelength\", \n", + " xy = (x5, y5), xytext = (-20, 20),\n", + " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", + " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'red', alpha = 0.5),\n", + " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", + "\n", + "label = pylab.annotate(\n", + " \"Higgs Boson\", \n", + " xy = (x4, y4), xytext = (-20, 20),\n", + " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", + " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'green', alpha = 0.5),\n", + " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", + "\n", + "label = pylab.annotate(\n", + " \"Kotov Cycle * 2pi.a\", \n", + " xy = (x6, y6), xytext = (-20, 20),\n", + " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", + " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'red', alpha = 0.5),\n", + " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", + "\n", + "label = pylab.annotate(\n", + " \"Hubble Diameter * 2 pi\", \n", + " xy = (x7, y7), xytext = (-20, 20),\n", + " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", + " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'red', alpha = 0.5),\n", + " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))\n", + "\n", + "label = pylab.annotate(\n", " \"Super Cycle\", \n", " xy = (x3, y3), xytext = (-20, 20),\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", @@ -458,26 +491,69 @@ "\n", "\n", "def update_position(e):\n", - " x2, y2, _ = proj3d.proj_transform(1,1,1, ax.get_proj())\n", + " x2, y2, _ = proj3d.proj_transform(10,2,1.72, ax.get_proj())\n", " label.xy = x2,y2\n", " label.update_positions(fig.canvas.renderer)\n", " fig.canvas.draw()\n", " \n", "def update_position(e):\n", - " x3, y3, _ = proj3d.proj_transform(1,1,1, ax.get_proj())\n", + " x3, y3, _ = proj3d.proj_transform(30,7,5, ax.get_proj())\n", " label.xy = x3,y3\n", " label.update_positions(fig.canvas.renderer)\n", " fig.canvas.draw()\n", " \n", + "def update_position(e):\n", + " x4, y4, _ = proj3d.proj_transform(14.56, 3.14, 2.51, ax.get_proj())\n", + " label.xy = x4,y4\n", + " label.update_positions(fig.canvas.renderer)\n", + " fig.canvas.draw()\n", + " \n", + "def update_position(e):\n", + " x5, y5, _ = proj3d.proj_transform(14, 3, 2.427, ax.get_proj())\n", + " label.xy = x5,y5\n", + " label.update_positions(fig.canvas.renderer)\n", + " fig.canvas.draw()\n", + " \n", + "def update_position(e):\n", + " x6, y6, _ = proj3d.proj_transform(23.3,5.3,4.078, ax.get_proj())\n", + " label.xy = x6,y6\n", + " label.update_positions(fig.canvas.renderer)\n", + " fig.canvas.draw()\n", + " \n", + "def update_position(e):\n", + " x7, y7, _ = proj3d.proj_transform(23.3,5.3,4.078, ax.get_proj())\n", + " label.xy = x7,y7\n", + " label.update_positions(fig.canvas.renderer)\n", + " fig.canvas.draw()\n", + " \n", "fig.canvas.mpl_connect('button_release_event', update_position)\n", "pylab.show()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2.66 s, sys: 704 ms, total: 3.36 s\n", + "Wall time: 3.47 s\n" + ] + } + ], "source": [ "%%time\n", "%matplotlib inline\n", @@ -513,8 +589,10 @@ "plt.plot(x4, y4, color=\"red\", lw=1, linestyle=':', label=r\"Slope ln2/4\")\n", "\n", "# Atiyah\n", - "x5 = [2, 3, 4, 5, 5.33, 6, 7, 7.38, 8.]\n", + "x5 = [-0.85, 0, 1, 2, 3, 4, 5, 5.33, 6, 7, 7.38, 8.]\n", + "#x5 = [0, 1, 2, 3, 4, 5, 5.33, 6, 7, 7.38, 8.]\n", "x6 = [5.33, 7.38, 8.]\n", + "x7 = [0, 2, 6, 10, 14, 18, 22, 26, 30, 34]\n", "#y5 = [0, 5.5452]\n", "#plt.scatter(x5, y5, color=\"red\", lw=1, linestyle=':', label=r\"Slope ln2/4\")\n", "#plt.yscale('log')\n", @@ -563,7 +641,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -572,7 +650,7 @@ "5.333333333333333" ] }, - "execution_count": 50, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" }