diff --git a/courseware/sympy-greenhouse.ipynb b/courseware/sympy-greenhouse.ipynb index 1400dfd..1e0b539 100644 --- a/courseware/sympy-greenhouse.ipynb +++ b/courseware/sympy-greenhouse.ipynb @@ -55,7 +55,7 @@ "outputs": [ { "data": { - "image/png": "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\n", + "image/png": "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", "text/latex": [ "$\\displaystyle T_{s}$" ], @@ -134,7 +134,6 @@ "outputs": [ { "data": { - "image/png": "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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}T_{s}^{4} \\sigma\\\\T_{0}^{4} \\epsilon \\sigma\\\\T_{1}^{4} \\epsilon \\sigma\\end{matrix}\\right]$" ], @@ -180,7 +179,7 @@ "outputs": [ { "data": { - "image/png": "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\n", + "image/png": 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", "text/latex": [ "$\\displaystyle \\left\\{ Q : 341.3, \\ \\alpha : 0.298564312921184, \\ \\sigma : 5.67 \\cdot 10^{-8}\\right\\}$" ], @@ -232,7 +231,7 @@ "outputs": [ { "data": { - "image/png": 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"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", "text/latex": [ "$\\displaystyle T_{s}^{4} \\sigma$" ], @@ -271,7 +270,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ "$\\displaystyle T_{0}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)$" ], @@ -331,7 +330,7 @@ "outputs": [ { "data": { - "image/png": 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"text/latex": [ "$\\displaystyle T_{1}^{4} \\epsilon \\sigma + \\left(1 - \\epsilon\\right) \\left(T_{0}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)\\right)$" ], @@ -380,7 +379,7 @@ }, { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ "$\\displaystyle T_{0}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{1}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)^{2}$" ], @@ -445,7 +444,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ "$\\displaystyle T_{1}^{4} \\epsilon \\sigma$" ], @@ -484,7 +483,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ "$\\displaystyle T_{0}^{4} \\epsilon \\sigma + T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right)$" ], @@ -575,7 +574,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", "text/latex": [ "$\\displaystyle \\left\\{ Q : 341.3, \\ T_{0} : 275.0, \\ T_{1} : 230.0, \\ T_{s} : 288.0, \\ \\alpha : 0.298564312921184, \\ \\sigma : 5.67 \\cdot 10^{-8}\\right\\}$" ], @@ -646,7 +645,7 @@ "outputs": [ { "data": { - "image/png": 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DppPXw5TRB9uH8iBWHleLSPqEYivkAndd+eCdRrPKWOxLGgOxN+JBWMf8FdZRPoG58EkzFvMZtx/dvzACtk9p/9RvK9Lpt+513D796o1P/lR1UazzKpwZaSIDcCs/53YlIrNUdRds5ugXmBH6LnbC8lasLt5ZVmAReVdVN8ZmVYZgb+7Tsa/GnCkij1YJH3F9JOs+2P60tzH/jMNFZHKGTLXmsYiy7dOzvTUT3z7JSRfQMWO5ATbg2AkbYE3B9sSpS//qG5ejTXDNY8vK0hXP9jYA937c5Rlf2x7sTw69Zs+uw1tEINBzUdVhmAub9UXkyXbLUyeqeiRmxLaSEq5vAoFAINA6gv3JptDVUiAwh3Au9nWN9D67bzVqJ0yHAWPDwDMQCAR6JMH+ZBAGn4E5HhGZiZ3GfFztk2dzCitgS2et2hMUCAQCAQeC/cnm/8NxmvixqYy0AAAAAElFTkSuQmCC", "text/latex": [ "$\\displaystyle 324.2752734375 \\epsilon \\left(1 - \\epsilon\\right) + 158.669847 \\epsilon + 390.0793946112 \\left(1 - \\epsilon\\right)^{2}$" ], @@ -692,7 +691,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", "text/latex": [ "$\\displaystyle \\left\\{ Q : 341.3, \\ T_{0} : 275.0, \\ T_{1} : 230.0, \\ T_{s} : 288.0, \\ \\alpha : 0.298564312921184, \\ \\epsilon : 0.586041150248834, \\ \\sigma : 5.67 \\cdot 10^{-8}\\right\\}$" ], "text/plain": [ - "{Q: 341.3, T₀: 275.0, T₁: 230.0, Tₛ: 288.0, α: 0.298564312921184, ε: 0.5860411\n", - "50248834, σ: 5.67e-08}" + "{Q: 341.3, T₀: 275.0, T₁: 230.0, Tₛ: 288.0, α: 0.298564312921184, ε: 0.586041150248834, σ: 5.67e-08}" ] }, "execution_count": 17, @@ -834,7 +832,6 @@ "outputs": [ { "data": { - "image/png": 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"text/latex": [ "$\\displaystyle \\left[\\begin{matrix}T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)^{2}\\\\T_{0}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right)\\\\T_{1}^{4} \\epsilon \\sigma\\end{matrix}\\right]$" ], @@ -881,7 +878,6 @@ "outputs": [ { "data": { - "image/png": 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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}66.8447576358007\\\\78.6681827185129\\\\92.9870596456864\\end{matrix}\\right]$" ], @@ -932,7 +928,6 @@ "outputs": [ { "data": { - "image/png": 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"text/latex": [ "$\\displaystyle \\left[\\begin{matrix}0.28\\\\0.33\\\\0.39\\end{matrix}\\right]$" ], @@ -1036,7 +1031,6 @@ "outputs": [ { "data": { - "image/png": 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"text/latex": [ "$\\displaystyle \\left[\\begin{matrix}T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)^{2}\\\\T_{0}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right)\\\\T_{1}^{4} \\epsilon \\sigma\\end{matrix}\\right]$" ], @@ -1078,7 +1072,6 @@ "outputs": [ { "data": { - "image/png": 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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}T_{s}^{4} \\sigma \\left(- \\delta_{\\epsilon} - \\epsilon + 1\\right)^{2}\\\\T_{0}^{4} \\sigma \\left(\\delta_{\\epsilon} + \\epsilon\\right) \\left(- \\delta_{\\epsilon} - \\epsilon + 1\\right)\\\\T_{1}^{4} \\sigma \\left(\\delta_{\\epsilon} + \\epsilon\\right)\\end{matrix}\\right]$" ], @@ -1122,7 +1115,6 @@ "outputs": [ { "data": { - "image/png": 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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}- T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)^{2} + T_{s}^{4} \\sigma \\left(- \\delta_{\\epsilon} - \\epsilon + 1\\right)^{2}\\\\- T_{0}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{0}^{4} \\sigma \\left(\\delta_{\\epsilon} + \\epsilon\\right) \\left(- \\delta_{\\epsilon} - \\epsilon + 1\\right)\\\\- T_{1}^{4} \\epsilon \\sigma + T_{1}^{4} \\sigma \\left(\\delta_{\\epsilon} + \\epsilon\\right)\\end{matrix}\\right]$" ], @@ -1167,7 +1159,6 @@ "outputs": [ { "data": { - "image/png": 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UJACOJepbIuvbJ20yq5FVAhtIgO8XbIMw6f+HdhoV300xOgAAAABJRU5ErkJggg==\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}2 T_{s}^{4} \\delta_{\\epsilon} \\epsilon \\sigma - 2 T_{s}^{4} \\delta_{\\epsilon} \\sigma\\\\- 2 T_{0}^{4} \\delta_{\\epsilon} \\epsilon \\sigma + T_{0}^{4} \\delta_{\\epsilon} \\sigma\\\\T_{1}^{4} \\delta_{\\epsilon} \\sigma\\end{matrix}\\right]$" ], @@ -1217,7 +1208,6 @@ "outputs": [ { "data": { - "image/png": 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"text/latex": [ "$\\displaystyle \\left[\\begin{matrix}2 T_{s}^{4} \\sigma \\left(\\epsilon - 1\\right)\\\\T_{0}^{4} \\sigma \\left(1 - 2 \\epsilon\\right)\\\\T_{1}^{4} \\sigma\\end{matrix}\\right]$" ], @@ -1304,7 +1294,7 @@ "outputs": [ { "data": { - "image/png": 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"text/latex": [ "$\\displaystyle - T_{0}^{4} \\sigma \\left(1 - 2 \\epsilon\\right) - T_{1}^{4} \\sigma - 2 T_{s}^{4} \\sigma \\left(\\epsilon - 1\\right)$" ], @@ -1369,7 +1359,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ "$\\displaystyle - T_{s}^{4} \\sigma \\left(1 - 2 \\epsilon\\right) - 2 T_{s}^{4} \\sigma \\left(\\epsilon - 1\\right) - T_{s}^{4} \\sigma$" ], @@ -1405,7 +1395,7 @@ "outputs": [ { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOCAYAAAAWo42rAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA3ElEQVQoFW2S3Q2CQBCEkVgA0Q7ODvypQEpQO9AWjG+8GVuwA4MdCBWY0IF2ILED/AZvyYWwyTKze7M75GDUNE2kyLIsAS7kl3yRM/JGvwKjWA8fJfjg4Ehe4Wcyhzudt0KKA9yBdzUVcG1Wnau2jVt4oUYvntRzhhITpj2BldqqSGOp/zyqPQ6B08aJP7HpUGjDU7PWoW0OhR2X0Ka6ZkDM7aN3NEtrBrrO5W3WupohaxsuTKhLXYarPF+AlVxbIUSfrAY3JobLYUfu1Rvr4UPTJwTO1ytwTd3+FD9d+zu+IBCKGAAAAABJRU5ErkJggg==\n", + "image/png": "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", "text/latex": [ "$\\displaystyle 0$" ], @@ -1470,7 +1460,7 @@ "outputs": [ { "data": { - "image/png": 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"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", "text/latex": [ "$\\displaystyle 0.02 \\epsilon$" ], @@ -1502,7 +1492,6 @@ "outputs": [ { "data": { - "image/png": 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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}-3.78528239476332\\\\-0.654045776110835\\\\1.85974119291373\\end{matrix}\\right]$" ], @@ -1537,7 +1526,7 @@ "outputs": [ { "data": { - "image/png": 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"text/latex": [ "$\\displaystyle 2.57958697796043$" ], @@ -1645,7 +1634,6 @@ "outputs": [ { "data": { - "image/png": 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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}- T_{0}^{4} \\epsilon \\sigma - T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{s}^{4} \\sigma\\\\T_{0}^{4} \\epsilon \\sigma - T_{1}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)\\\\T_{1}^{4} \\epsilon \\sigma + \\left(1 - \\epsilon\\right) \\left(T_{0}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)\\right)\\end{matrix}\\right]$" ], @@ -1694,13 +1682,12 @@ "outputs": [ { "data": { - "image/png": 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wzYCv52pWqXtnK6QOZyC9dH4E5d4uiy0gDJJLqxiU6TUs6jpphzf89Bwz17Mtnl6aLN4YbJSG1amvdGegwziJcTmw2dLWxhAmQTw8GTH8OjLsSbN40EKyEcShrg++Nt1nIDAGG9LFuoS8W5+IBX1Cug23+wRukmf5X5WIDVIZJMlL32qBEgoGRbZJGgOippUBs7/USxSWOM57fkTloCR9e6+3Cievr0wFnxioGTx8DsWA6wwsNe3U9V9V7Po/F7GZQV4ObMA2hP8M0hfJegmPfoXIB7K3tltCNi7hUEqfoV1SY5OKd+sTy/aarbb7slyPLP3eyPTFJteAjrLmzYpbPfNdEC4OiBLGLL5jANSMum2X0KoEZeL6gwBK4tKAx6rKE9WJQdM4/Looi/qcAJ8U5mjnEGy/riZ/5ochbKaSkwMbBrclt7Km8u7LF8TDkxieQrLqSb5Y0BKyEcShoD4D4NHYiC901Nf1xaTpzCXk3frEGbpJA7ba7kmZnFvY9dwCCsqP4cHAXp0f6dHdGCMoAcWxkoJBwR33SuGkea27b3/dzVKqxPVPx9hoR6gMDtMioBz0fK07RgbGiCubOJSRM3geyv+p/KsaI6p/CjYiPd6pjhzYsOLFoWavEw3E0f7OKHTt3/lOjDdz4sAIPNo1fibP83ZAruelZSMCh032GfCfgo3yIINs/dIf0EP0vdCKawrerU8I4JSukHZPyfLssq5ubm4Qdr5fwICHlWwuEoFaUVSfo9dz26jhj/heKMwZGJEl7jOZcGB2h4HV/2z/agyLFv4Qke27pt1WIyZBxeID4xWDaTLGyks7pTrUGsVVXeemZCOK8IUTCRe3TVy9DUh1Clt0QqLyrU/02lWYZO0Tqi97u/dYzu4VzxzOZbfi6l722vdVoRvM+qsh+M2423ZbM+NkG2AvjnNRwVWfSCbZ7gnNwiOLsGSJEEA2MUBY2WWC41ZL9biYsz5xDm3uPrFGu59zvVKIGSQzgJdFh8LAKGF5v+/e9APMvx0E1HZ884XVgByKflHGxQMGMGeSZq3IKT/nq5yRvSjNVngYAbUBs3LagjNjV3rGSHTbh+GMM2NUl/WJHobCJFufUF2rtHuP5VW9ZpDMh59ZKXu4lauFild/MVbMfUDAZ7R9iF3nKcWqwjqUd2tlFt3IYDeqCN8WZWNN4FipwMh0jjNquQ4rW59wqOe/r9nu+bn11GhnSDygjA2S8eEECSMEReL9M72x5ZaeXriw+lC9HaE7z8z0QgeDFZXf1TSyuuC+kpufiBk1im72Xzn4WNTKRo37pmVjRrPMylq3qSsDfcI/iucySE5121ifcC2Q6b52u2di86yamu/qDIkZJGfwWIAhYAgYAoaAIWAI5ECgbZDYlk0OxK0OQ8AQMAQMAUPAELiIQHaDRNaQe63pImEWGUbAMDRswghYjCHgR8D0hh8XQg2bMDY5Y7IaJGp0ThGzN9k+sJWT3+LrMgzDTWjYhLGxmDIQkAw/0pX8jRrrG+H2N2zC2IyJEY6+j46OKSLfH+qJWIyQx6Oos8QdBAzDDhwdj2HTgcM8BSIgGeYjlXwkLukBVusbYWEwbMLYTIjh8DVv/E12OVdIeBvgxWRKLSMIGIZhOciGjTod3y+hviIdtMPD1og3XE8v1SZLvL6drW9sTaYi6MmGzd7lW/xhSPMv9pN1Y9R/2QCkKuKzwre6+OAXdxxbMDgIcWGkxdL/Tvl4re+kO/6iXkuE7lhX41PxqjxO0fPqb/O11jqNYegBtSRsalp5Re2ph5UigkT797r4nxRkdBP9UnTQbw6Lq/jne0Y/6O70aCVLNS6mNzw9qyRsalp3L9/iE53yVtePujqy7GnCs6Aog0S5+FhOY2C4UlQhnzR+p3tHOctP56ITOfdMYRB63wXs5V7zxDJrM7PRM98l+UV3/ivFLb8ahuFGLwmbix8hU3tjpDPT/VjPoztkGKLkMfwJ3ytdW/nX48PiKjnBGGNW+ZGuviupb/RpX9pfEjZHkm/Gf8ZA2meUuxeZmiVqtwJQZak7EQaGG3DbRfGHc9XMS+noaBC4V8fg0/mH1RorBqP2ftquMRTPn+uaeqipCGxqWX6je2dVQX7+qZkVB+T8ma7NG96iFfnkg2pT20zZ0zjRgI44Mq4oblataJO+K6Jv9ImO9Ytn0xv70xt8AHPSts3gCokEhu0W36u67iS4Lw6FjILhjrLuKHCF7cmBQ/WPvz2mMNTobOCH8+F0eAwLky+M8s5qIA0rHhhIqhUyPTPAu61MorfsXoi433XN+g+cBAweHVeUd2dSA6aSJdO9AeEqDJtDybfahnMk1VkS3Ud9ATtqhSRQqFPMvhUSTtuipBlwP9Eze2duGQcRY4tjkgVF5o05jC1mMRhfQad4X8MYhkKsBGxEI8vq0Lob41q80EdRHM4whsWsTnUfGlfxj9GB7vDp0ZPiTW8EJLIEbETjUeUbeW6OMQSa8Cz4+iykFyBAm4OZvSiUGMoMpdZxCqs6l+4s3XBVTn4aB0OE8yS+fHTMb3RVjaj7z0rXdEg9E8/e1Je6eO47lj1H71v1CxnjV32hPXi3MuLFqK7j8BgKv9zyNVV+WPXwDhpj5CVn2rq/BPtTTQuH1FEca/F2dFw/E/b8o6xPH+buG0FZqWVpat+pRS3dzfRGOiz7JSXSG5whZZwe5QYNEl9pIhiDAYPgR1+8L0x5MEScxfRSfk6Ut40VBufq4I/Cz5SjwhjgiSeOcpxxwoy1MkKUZhOzV9EBL2DEQeAzRaPwk8INQ4DwuIWwmSs/rGa1zwR5KN9OkDC82J9alLLdmNWIb9XN49FxZUITrbcW6hsXZUV1zu07vSZfxrsQNnN5P6p8Y0xzXIPLOwb6pODaFxgRhgDjfOci7mJ6vyKKlY5mtaMdXQsSZX2hZ58xgvHBGwHPFd82Yh4ojO2g6A6t9Dkc21M/iS72DkPOMAwhc7fVR2wq+UohPxiQ78IkbydGcgetwf7UoxSewGctd3Rcx/JveiMsqamxMb0RxnpIbzhdiXz/Gi6mG3Pd9Ub7Lp19iC6klZClQByvyT6+ezzxLrMzYIhn66MxRuo0lSGi8CgrjHTKh2ETq4BvlRYjKBpQpcUY4e2FoVlnqRjSFq7j67FxYPpAfD9rQj480HZudexDaPhpCWzmyg/GL/KQ1AkXcEstk0P9qc0DfQilcdEtRCd1HhrXmv8xE6ol+gbtsLTuNb0ByoncQv0xpd5wupL+He2mGiQMSJfORpwEGG8bPNT1B3f5h1YLWBlp0ii9Y0jB1bkT3wD/SHEX6SCzc3WZoTMfLtnke83zSXcfrf1yBzEkg8qCR7a4huimvBwYNm0Efc6JPs4CcLg3xRsbUdi4uiPubBf62mSU/ETUMzqJ8ELOh9p2bLlDsjC2vNNCdI6mIzbDQvQmx1X8YJC62WQMe4N9Q7xvUfea3ohp3cg0hcl3JFen03V0yjqhgGA2RScKnh9RGgaAxgiRn9df+U5DaJZMeV7DQnnc7I3Dd333TAFnWzz9RDn88Kh6eKOoGfgc7bp3ZkB1+BCGDJaU9UAXaYdc8RjCYAw2Q0C04+vyCJorPwwaMe3Qrn6t56AseAhCvjry6UmzZNDRcb0VuLTBoIvpG0pzON0LcDHYDALcSlCXR4jpjRYurcdYvYF8R7t70Sk/JMRCx13a38cabuLVuGy1YJSEFDpbIqFO6WYPHaWpsh4pD8aK1/JWeDZX08KSZ2OM1JVjpPjcIIYqi1enKe8HXwGesKIxbPEziE0rbcxjKvlB/kIyGkNHzjSXZKFPB31olNLoFzDTb7jGAxjTNw6le1vQxWDTSj74aHrjMkRDesON9Z1x+3KRp0n/9utWObwrExpEIQRiXYM6GlB6TmhcmLvTiZ7UeV3YCb8u8lFXk1dhlO/eyCF+Ndei5VbPfF+Fi4O20PeV7r4GuYjhRGaKxbDHb1JshH8q+WGQT7210mM9mTcoC54a4Mnblz1plwg6Oq7oh/uRwF7sG5J1yjmM7u1hdhGbXtpBr+mNDxDVcvUh4O5pSG+4yVvfDuiX0/Ffd3wBjwjisAsrElTCHfdK4XSm17q3zw3QIXB9QwHCHJFVAvej/BwCRaA4K/Fad/JijLhyiWOgd2U/lP9T+ft1KDi7w/CALvZt+64xRkTrGAz75Qz6VX6xGE7Fps7HGSWc79DqXczda+Jz5YcVPw4se51oIQ75doaz6x+db+l4MycOjJCFdo18B+N5OyDz89FxRd99E8J8ZN9w+rGvF3epe0di00Bc5zO90SBy95BYbyCLTNL7stirteu9urm5wcDgWwQM8MxWZjmV4cr7qE2MnvlQCisHzsiYVc9RMgsvtn0YTD/ZMs81nakOtQ6yqvowADiXhCGGzIGRewNhMP+UBCofGWZrrjE0p5SzlTziA6WBwbSqbB0ZV/GOAYtR1tGXU2REZRWne0Uz+s30xpQGXymP2mxQbygN+pl2HdTJSsO5J2yDq3sL8vSgV3bf34s2b+EIsOzPWaFcjk7BF39RaBgIbsl2yfpZ5WI7ZC+OM0oojrXdYXGV/NJvmEWyUpXK9XVt35+qnhTlmN5IgWLeMmL0BvLcnCONJW8Jg8TNHu/3iMA/ewWmV6Z5N4KAFCvLc67tc1CFYYAiZ8vsT10YKIs68cd3cbD6F69rUUZUuHigP3Jua/UVS9FwdFx/VFsMziQjZML1v2J0r9re9EZEw24lSYzeqNM8Es3uO2LR5Cc3SBAw1U7H8Fnlvleooom1hIYACEjGWBVBkfFl3ys9szLjzm7ocVEXMztYlIBEhWPI5VhViiX3yLiySsWy9SynvmC69wKCpjcugBMfFaM3+A8bvlSOPI5yyQ2SunY6WKPsakGYROAobvab2Gfc7ZfbYc5Y4m/PAjm0l+VNEckyxjZvT80eQIbZXCZFTXvoDbBlKh0o9ci4indWjjkLhaE915nuDSNoeiOMzWDMCL3B6vWLwQI9CZIfanV1iHjX+FhJDB7ef/h16e3eRUD4sS1Qvb6pO8+sAvTfaFLQ8VzdMRzjyBbfbMlikLhK7W4IpERA8osc82bW7FfLVYbpXk/jCJf2JML0hgejuUE1xnwgNPqsXZ2nOtTaNkh8tLCq0ax0+BJYmCFgCBgChsB8BKRrWSHxfWBxfuFWgiGwMAKSXybOGBbB81CK401F0p05xV3xHRKWoEPWjB1CPYPNAgwBQ8AQSI+AFDITwJMuDhvbil96iK3EZRHAjhhawHCrd15Krt6/f++NsEBDwBAwBAwBQ8AQMARyIfD/NMIbbhV64jgAAAAASUVORK5CYII=\n", "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- T_{0}^{4} \\epsilon \\sigma - T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{s}^{4} \\sigma\\\\- 2 T_{0}^{4} \\epsilon \\sigma - T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{1}^{4} \\epsilon \\sigma - T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right) + T_{s}^{4} \\sigma\\\\T_{0}^{4} \\epsilon \\sigma - 2 T_{1}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right) - \\left(1 - \\epsilon\\right) \\left(T_{0}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)\\right)\\end{matrix}\\right]$" + "$\\displaystyle \\left[\\begin{matrix}T_{0}^{4} \\epsilon \\sigma + T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) - T_{s}^{4} \\sigma\\\\- 2 T_{0}^{4} \\epsilon \\sigma - T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{1}^{4} \\epsilon \\sigma - T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right) + T_{s}^{4} \\sigma\\\\T_{0}^{4} \\epsilon \\sigma - 2 T_{1}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right) - \\left(1 - \\epsilon\\right) \\left(T_{0}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)\\right)\\end{matrix}\\right]$" ], "text/plain": [ - "⎡ 4 4 4 ⎤\n", - "⎢ - T₀ ⋅ε⋅σ - T₁ ⋅ε⋅σ⋅(1 - ε) + Tₛ ⋅σ ⎥\n", + "⎡ 4 4 4 ⎤\n", + "⎢ T₀ ⋅ε⋅σ + T₁ ⋅ε⋅σ⋅(1 - ε) - Tₛ ⋅σ ⎥\n", "⎢ ⎥\n", "⎢ 4 4 4 4 4 ⎥\n", "⎢ - 2⋅T₀ ⋅ε⋅σ - T₁ ⋅ε⋅σ⋅(1 - ε) + T₁ ⋅ε⋅σ - Tₛ ⋅σ⋅(1 - ε) + Tₛ ⋅σ ⎥\n", @@ -1719,7 +1706,7 @@ "A = E.copy()\n", "\n", "# absorbed radiation at surface\n", - "A[0] = F[0]\n", + "A[0] = -F[0]\n", "# Compute the convergence\n", "for n in range(2):\n", " A[n+1] = -(F[n+1]-F[n])\n", @@ -1749,28 +1736,18 @@ "outputs": [ { "data": { - "image/png": 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WJxK1fGHtnkhqKyZjBBjTQgtwrxT+lfQVv4Wxryi6pBVYnEpmIDiZUVJ86CPB3tEJKcDbRsPjzH2ke/aQsYLHFgWIf4xidaNokgxzsckKF8nBivpJ58NMNCQLxod/avETik11TfUeQjfWAK0EbMSj9YnEjV9CuycW2YrLF4HYuOCd1lh8vhKJs6usuUvInIxJbH+gX3ll8PeN2a2Zxg3GK0/t1Oqa5fjmEj2DAo4r+2HPylbYPcV9o6MaPHT+VWG1I+DicYI/10HaLvECD/usVifVE9voPYiN8k7CBWGUZ01sWFWt22118BJUMISHq4InAbGZdgIuwkWIt810YwgHF59FnwGtHbCZK7v1ibB6zwotqN1nyWeZykHA2UQYftfDtfdBepLkF3UxDmwIejUszhcNx0tbZw4meRROPM7Uz9yPJeXDcfUvjP2oe972azq31F29MKHwM2dKYTjWxBNHOfDA4MSqYeW0Ks2uK4iqfzI2ytOLi2Q7Kc3a2LCiXsy+nyE8wMwRW2Q2mdD4CmNn8ZxcN4ZwUHz2fQa8VsJmqezWJ2LKnCg803ZPJJ0VkzEC9x1vIR/HO7UPMuY/ytpFO7BChcf8v8iwtF7a6qCFMwWF9vjdxAR+VSYrqfVqajOJM2SU95muQ84rzipvDD5XfNPpRRHZnrCr4yoePE3GRrxHcaFQxeP4rI0NdfiOS7XZ0hAeHcaRCd3JgZLqxhAOii+lz9A2qbFJIbv1ifV7TY7tvr7UK9egvs/Cjsd2bG28rJjFZH8swwnS5TI2JBDlpoirZCWtXFBjgBrbCNdiCQfwbYg1heO88ub2kBL37X+tilYZvOzDDOYvzrrvc4jJQ4eD+HzXk5vL0x+69g5vtdKq+9p5dWkqx1XhozZck075cISTYOZ4aJ4GsSGx+GB1iFXo2DaOZplbYMNEAP1ISivhPYRHUwb0A0ekl8QnZYYMPnpyX/HPAgWwhcY/UQhEnwWl1o0hHIiHx9z7DECNwuYM0XhACtmtT2TSJ+LNfBaTot3PCi0tQH1+aLwtTaTU/PYt1tDvIXyX4ggH9j91/LeO/8uZeykpDscYB2hQDJVVfW5I5yHnlbIY6IP7X4lUGTwSr51W3fNFAz4s3zfYUyYrr3XHU/qmQ0WZId5wBKO8KK5FrswkmLUKvr0ZwgZ+kYNOgnM0hjbBZgwjU9OshPcQHlPZPInPWu+amRXOPkhedEzxJYPUujGEQyl9Bsh7sWm2ycjrJLKPrGtSMulSMrvdqHhIFxpJx13m0CfGcdpKlW27t7gcvvkPJcEHyZ2K8JW6INIHdRDsndVmEj8u5/JUt8lb7LrWlyul+B8d/6Xjbiz1kcLVkAzSfCmgdhB1Xa1a6dxqRBdOA/ftf8UZaJbFlgQc2L5VUsoMOqKuTkXffJqLiwY90/XZloNG/GaXY7BRGla/v9QZzHFmx9AW2DAj9R13DE97poniEWAKA9XS4UCa1YNW0o0oDq4+5HodEC6bPgNvY7AJyBANSii79YkoyssjMm735cItL+F/VQQ+SO5Usq+E3xAa8xgzoCz8ihtWBn9rfcGBvRiSEcGJ4rF97XA64XGwuo8eiWKmDwX3v6ocFCK0d+xa4eQNlangE46dVxzum8RAArUcEcc7dX1cxe7/04vNAva2wAZsY/gvYH2VrH14dCtEP9C9vWkN3ejDoZQ+Q7ukxiaV7NYn1u01ubb7ulJvULrGRrZSMIZPIT5/2feUdEpZJaTlpWVw6hJPaJufAu3GZ31/lTV3CZmTsjK404iskPqGxAHFkXmosNBjU6/gsdkJZUJdp4FBpc9BYtX2bJVWPFSrtjpTHwavcoB173nnpa9uXUq2Cw1hM5epLbDBGVpza8Vc2UP5evHoZECmmK52kq56u4Zu9OJQSJ8B9NHYSCbslN+bFtrfe8IeJJLd+sSqXSLbdl9X6g1Kl/5jGziMIggIIz65yec82eLo/Qr8n8915LIoFuE+HnwxDqwgwHnFEaz2v3YgqVc71bgMGg91VI6tS/e7wknzSueQo+tXQVzy6oRyBEll8PIYAxkvNr3SGacU59WXTRx/fuAd5Ae6f6T7XZ1X1T8HG7E+nlTHFtiwos5LfEESD8TR/n7VxLd/6zu9wcyJA0fg0azxsW6eNwO2ul5bN0bgkGWfAf852CgPOsgkl/6APaLvxZ7opJDd+oQATkmFtHtKka2svBFggeMb6aX3K57o/mPdM3ktku68ePEC48j3I3GQihVkD/SFl8eOPbVNJ/hv8fNSYd4h3YO9bOoUDjzewSHv/o3vbjyKlz9UOdtJ6nbbjZkEFUsOjBIO9myMlZd2SvUS1yipXJ1Z6cYoxldOJFz8tqXqaylUp7BVJ7Aq3/pEp12FyaZ9QvVt3u4dkTe/lcy8jMbnIe9sXvmECsWfH+/NV5qAW+qkTX25m7rwCyvPOz/d1VbubTKQtzKwonWkx07s646uKo9sCrYfxFb5RhZhyRIhgG7isPLkiAmxXzXR5WpkfeIc2q37xB7tfi61hRgCBSBgDuyCRtJMgAEGJ/Z+oJjXgTALygQBtR3f3GW1cQvHYFWpJQMTpqc6L1rxV372U/pJ2ao8W+FxBNQGrPrRFux5Z1WKSYXfzhLPuDBGdVmf6GAoTDbrE6prl3bviGy3hkAxCJgDu7ypWPViD1pFzgjxohjOrdEtAiEn/zZ2n6sUq5b7cN6ulVW6WgfbUUXc5agbewLHSiiTEk/ssd/q5TzrEx717c97tvv20lqNhsBCBC7pJa6FUIWzy1H9Tgd7+HBkcVoZeHZ5kSbM4X6hwoTVTR6JsXrES2o4WrEX4RS1LYkf3uzmO7Vf6GD1qTiCdzGNDEWtnIrfrHVjZ0XAkXksjB7rjD3hZa5NtiShRzqsT+yjALu1+z7iWq2GwDIE7CWuZfhZbkPAEDAEDAFDwBCYiYAmTPYS10zsLjFbU19sC8ElaoDJbAgYAoaAIWAIGAKGQMEIbO7Aynv2nwkpGLZ9WTcM4/gbNnFsLOayEbC+EW9/wyaOjcUYArkisKkDKyPBW5a8Ld18QSFXbLLkyzCMN4thE8fGYspAQDrMvwIm/+KA9Y14+xs2cWymxAjH0J8ETSnC0hoCkxDYzIGVcuO08s8PRjMRMAzjwBk2cWwspgwEpMN8KJ0XQpN+ccD6Rrz9DZs4NjNi3gpPXtQ1MgQ2QWAzB1bSsFH75SZSHbcSwzDetpthIyPN92Opr0iCd2TIjXnD9fSj2mSNz6Ft1jdy06kR/GyGzdH1W/Ix8eIrFsXaxhH6YkkyQmDUZ7ToeOKZvxm81sEH+jlDbAmAUFwfRlpWEvi8VPVPRzpzX9RnfsTvaHL4VLIqk3cMvlZ4/ekbl8YwDKBaEjaOV/728JOAKEUEifcfdPBpJnQ0i34pPug3F4ur5OczfD/p7O1opUsOF7MbgZ5VEjaO18Prt+TEpvyh42cdLV0ONKEFbYiA2uOequNTbbQLNoW/Hcfm1H6K7ouiUQ6sJOLj1rVD6iWU4PzF4TudW4O57jHGAOTpmcJQbAA8FDmZeOxXr5zoGiV5o/MnOvzjQMMw3vIlYdP7pwFqbyZ1rKR9qOucDTjfKv5dxyMdOdDF4io9wXln1eqDQEOU1DcC7K8aVBI2l6TfjP+MgbSPUT4IYO9fyt5UfxeuM/6Y91OyWMiYCtXdkRl4ZOpXGKsszugCgHfQmkW90U0FiNJhmFHooxLOSuuPCxxWOC/N/UCHxlAyf6pj7ib+IrBxuvxa51Zn1331Jw06o+fPdNAvsibxin7+pvPcNksmn3jARlwyrgz0rIrTJl0qom90mR57L5nNbhzPbuAg2TaCsZ1gg3TOxmJLKueVKnWNveG+6acQVQwNrsBKSB7/hz595d+UDcUxgDMgcWZwbw34xaAzjlFwwGFnOb5JOPYYZ/CDQjhdPIaF6ReTuNbTBhpWMmAIqhV4XeMQ+q01ROdML8Xcnzq+25nJS8eVwb41CaY9pEtmeyOKWRg2F6Xfahv2wVZ7YXUu8h8OI2pXcjDjU2ix8ZXCv1I74acxjhVFo1ZgI0roB/IQKLyNCBg4aB/pmr0//rECAPHI/SgzNJxzZjY461FSfKgjG4ZCrARsxCOPeeH1MJMxyUIfZaDxEylE3JRU90XjKvlxUrEdITt6UrzZjYhGloCNeLxU/Uaf6211kSa04O0QiNl4xgAoFn8Tm+nv1RBf6oCxDb4IzODnAaiLUlhljHVmebq5ZE1nxnFlP2woH4b8Gx1Vp9f5V6WrDbiuiWdvzec6uO4Sj+E23Xej+mJ7CP3KaxAjx/jFYyj8ttavufrDqmrQyegqYS73rr9E+5Pj87XOsdn5FqJcOq6PBfK12ipkD7fuG1Fdcbo0t+8k1yOzG8khrQtMZDd4B4Zx2mhnBFx7wsW7Hla8z9WTJL+oQQc2xLIAQVgcyJ9D8aEw5cFx9TOyH3XP229N5xZnrtrorvAzR0FhOITE+5mdd2ZZEaucVqXJYnVMfCALGPHi29nApPCTwg1DgAjQStgs1R9Wy4vZKyQMe/tTA3a2v2w66WvUzeWl48oEeLTdWqlv9OqK6lzadzpNvs7tStgslf1S9ZvJF4+li3w0vY6G7lbqfVdzyBfxTu2D3bhbUPHVzLwYPCi0r/MmpvMrRWYltV5NbUY7w0NZn+k65LzirPIG3XPFN51eGobtCaMHAKXfgtgu8Yv4Yu9TjAzDGDK3jzNS6VcK/WHC4Tt7nPMMYqR38BrtTx0WkQl89qJLx3Wq/GY34pqaGhuzG3Gsh+yGt5Xo99t4MRazIQJ72vlVxLyaWWrf3s05RfJoCuKzU09uLk98S847vMTzKL52Xl2aynFV+KhZHumUD0d4bENeKy1O8+gOqLQ4r7zdPbSqVSqGtIUfKHRZE5jel9zP6pDbC9rOr77fhsav1sBmqf4wWUIfkpJwAbfUOjnUn5oy0IcYZHppJT6p86JxdfJPmYCv0Tdoh7Vtr9kNUE5EK/XHlHbD20q/+pdIcitmBgJ+MhHK6tvnr1Bk7mFzHVgcmL69nSd1MN7GZlkaYB7ofmg1kpXXOo3S+w6g4GrfbMghfKi4Xj7I7MmVGduz6pPNPjuZTzqHeO2WO4ghGVQWMrLlYohvytsCw7qN4M+T+GMvIy+zpXijfRQ2vu4RZ7avhNpkkv6MqGdyEuGFng+17dRyh3RhanmnlficzMfYDCvxmxxXycMEpm+A6Yo82Dcke4621+xGtyUX3Bem3wsktaxLEUBXdFCMd1abRWJ/oCmT6JscGfxeTeVBQLBag9DR/a9Kg8NQO62653NS/PNPbBWO8oKOqPL41SFeNunSMwWcbTnoJtriHhlVD19cqB0lz7vOLeVw4UMY4lxRFkrnlUyXUSoeQyQbg00UgUCEK4+YpfqDkzGmHQJcbB4U1YUAJ+hXSz8DadYMunRcrwVuaGA5w3xM31Cai7O9ADUGmzNAewJceaQwuxHGaazdQL+N9kcAPyk0fnnbk4UfNRWmu1MzKD0rAFDf/kRm23W8jAGP/nFiQwBS1lsdHkjum+RXJ1qDrMp6qEQ4t8GZfbOAta8dLzyCq51XVydObYgGMVRZfIqM8n4KFRAIKxrDhjyD2DTSjrlMpT/oX0xHx/CxZZo+XejyQR/ac5AxXLstEr8f0zcuyvY2oBqDTSP54KXZjX6IhuyGH+tb43Z/kRa7IgK8gMwXT7rE0z//2dNuXPb3cxxYv4oa9NjldKG4KLc3AB4EBklvZHyYP2N0n7q8PuzEvQ7yUVedV2GU779YQPxu1OCFZXq+b8vBi2Xw96XOoQ7ci+FMYYrFsCNvUmyEfyr9wSlM/ai/I3qy26guBGpApmBfDqRdI+jSccU+3BsJbG/fkK5TzsXY3g5mvdh00g7emt24hcjp1W3AzdWQ3fCT/a4f0C3H7jdAQG3I+0TvdK4X1Vy78qmz5xuwsEoVV2NKlaBs7mbFE6XkDP2ucIzvK52b+x4xoFDXsUSRvVJXCfyP8vPSEwaIvZ6vdF6TAe8AAAPOSURBVCYvzqsvlzgcQ1/2A90/0n23DgVvTjiq8MW+sy7Vzqt4nYJht5zBe5VfLIZzsXH5/Obz0EtaHrcU+sMTBV7QC5J4IQ799hMt3z9a3zIOZk4cOEIXmjUyK9/TgF06rti7b5oN0rye2De8fezaxUPa3onY1LC6fGY3akRuLhLbDXSRRZ2uLnZqtdsNEWDS8Y3axNuJJ7r/WPcsIhRJd168eIFD+kYHDuFiQVSGL+8DXdfKq2s+bMzKpHdKiwRsa6aFFzMmnPfuX9VuzUpvfY7PVC9x9dZFpOrDYWRfNY47OgdG/g1tkiQnlY8Os1Wknpgkr2TDAiUHhgwHe1fdumRcJTsTHpz4lr2cowYqqzjbK56xb2Y35jT4TnnUZoN2Q2mwz7TroE1WGvZt4xvc2UmkUdWKP9+/kvhKoyq1RGcINPXl7llsuoD7naK6951ouy0cAR5Ds9d5K8KI8o9uDIA4lKyyrk2sovN4/ijEHmsGmr3pYnGV/tJvmOizEp6Kura2e5+qnhTlmN1IgeK2ZYyxG+hz/R7MtuxZbZeCwBoOrF+dutcBkfvFK7ydMu02EwQ0EPO4yLf9FlzhSDLws4Xjbx04tKuS5GMfEasKq9e1qiAqXDLQH9l3vvsTEfFw6bj+rLYYXKkaoRO+/xVje9X2ZjdGNGwuScbYDZfmoXj233HPhX3j42AIJHdgMUjCCEMamvWHPklyMEhNnLURkI6x6srAxz+38diJlV+/93Tt6sesPqzNQ4rycfy3WLUey+sl48oqOI9RF5HZ3n74zG704zMydozd4MUg/okSX8DIEFgNgeQOrOMUg1wPjs5wmELPb8bQZGB+aeXn5JFzc5WJl1Q2eZNeuszkjK9LLHY49moGx3vsCxm7sHXJuEp2nkyxl5uJ2VIy2xtH0OxGHJvBmAl2g6djLwcLtASGwEIEkr/E5fmRsntjwSwMZ4P9ijYj8wANnIUVj6mrzyHpzDWrjN0vPijo8sgZUi84usV37DZxYH2ldjYEUiIg/UWP+XIFbwovIpVhtjeAoHBpTjrNbgQwWhrkMOYPfUa/K+Dy2EtcS8G/kPxNfWk6sCHxWTWtV1JDCSzMEDAEDAFDYDkCsrWswIb+EGV54VaCIbAyAtJfFlpwRKP7uRXHl1xId0aKK+UrBGe8K8B8pRAqC8OG9IXvwPJINDZbspeuFjaAZTcEDAFDYAwCMtYMgicdvFxnTxTGgGZpckIAP2Jowcs/HciJ77G8mK80Fql06Xr15c779+/TVWUlGQKGgCFgCBgChoAhYAgYAisj8P9SYHxafhGHwQAAAABJRU5ErkJggg==\n", "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- T_{0}^{4} \\epsilon \\sigma - T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{s}^{4} \\sigma\\\\- 2 T_{0}^{4} \\epsilon \\sigma - T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{1}^{4} \\epsilon \\sigma - T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right) + T_{s}^{4} \\sigma\\\\T_{0}^{4} \\epsilon \\sigma - 2 T_{1}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right) - \\left(1 - \\epsilon\\right) \\left(T_{0}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)\\right)\\end{matrix}\\right] = \\left[\\begin{matrix}Q \\left(1 - \\alpha\\right)\\\\0\\\\0\\end{matrix}\\right]$" + "$\\displaystyle \\left[\\begin{matrix}Q \\left(1 - \\alpha\\right) + T_{0}^{4} \\epsilon \\sigma + T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) - T_{s}^{4} \\sigma\\\\- 2 T_{0}^{4} \\epsilon \\sigma - T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{1}^{4} \\epsilon \\sigma - T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right) + T_{s}^{4} \\sigma\\\\T_{0}^{4} \\epsilon \\sigma - 2 T_{1}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right) - \\left(1 - \\epsilon\\right) \\left(T_{0}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)\\right)\\end{matrix}\\right] = \\left[\\begin{matrix}0\\\\0\\\\0\\end{matrix}\\right]$" ], "text/plain": [ - "⎡ 4 4 4 ⎤ \n", - "⎢ - T₀ ⋅ε⋅σ - T₁ ⋅ε⋅σ⋅(1 - ε) + Tₛ ⋅σ ⎥ \n", - "⎢ ⎥ ⎡Q\n", - "⎢ 4 4 4 4 4 ⎥ ⎢ \n", - "⎢ - 2⋅T₀ ⋅ε⋅σ - T₁ ⋅ε⋅σ⋅(1 - ε) + T₁ ⋅ε⋅σ - Tₛ ⋅σ⋅(1 - ε) + Tₛ ⋅σ ⎥ = ⎢ \n", - "⎢ ⎥ ⎢ \n", - "⎢ 4 4 4 ⎛ 4 4 ⎞⎥ ⎣ \n", - "⎣T₀ ⋅ε⋅σ - 2⋅T₁ ⋅ε⋅σ + Tₛ ⋅σ⋅(1 - ε) - (1 - ε)⋅⎝T₀ ⋅ε⋅σ + Tₛ ⋅σ⋅(1 - ε)⎠⎦ \n", - "\n", - " \n", - " \n", - "⋅(1 - α)⎤\n", - " ⎥\n", - " 0 ⎥\n", - " ⎥\n", - " 0 ⎦\n", - " " + "⎡ 4 4 4 ⎤ \n", + "⎢ Q⋅(1 - α) + T₀ ⋅ε⋅σ + T₁ ⋅ε⋅σ⋅(1 - ε) - Tₛ ⋅σ ⎥ \n", + "⎢ ⎥ ⎡0⎤\n", + "⎢ 4 4 4 4 4 ⎥ ⎢ ⎥\n", + "⎢ - 2⋅T₀ ⋅ε⋅σ - T₁ ⋅ε⋅σ⋅(1 - ε) + T₁ ⋅ε⋅σ - Tₛ ⋅σ⋅(1 - ε) + Tₛ ⋅σ ⎥ = ⎢0⎥\n", + "⎢ ⎥ ⎢ ⎥\n", + "⎢ 4 4 4 ⎛ 4 4 ⎞⎥ ⎣0⎦\n", + "⎣T₀ ⋅ε⋅σ - 2⋅T₁ ⋅ε⋅σ + Tₛ ⋅σ⋅(1 - ε) - (1 - ε)⋅⎝T₀ ⋅ε⋅σ + Tₛ ⋅σ⋅(1 - ε)⎠⎦ " ] }, "execution_count": 34, @@ -1779,7 +1756,10 @@ } ], "source": [ - "radeq = sympy.Equality(A, sympy.Matrix([(1-alpha)*Q, 0, 0]))\n", + "# Add (subtract negative/downwelling) shortwave heating to surface layer absorption term\n", + "A[0] += (1-alpha)*Q\n", + "# Set convergence terms to zero\n", + "radeq = sympy.Equality(A, sympy.Matrix([0, 0, 0]))\n", "radeq" ] }, @@ -1803,28 +1783,18 @@ "outputs": [ { "data": { - "image/png": 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Cv0oTS15nzfODtB0B6X2p55Dyh7LHiaAn8veVRgSF5eVdFT/x4OhsbMR7FBcSlT+KQ25syMM1LLItlqbwGDBOmZCdEiipbEzhIP9a2gx1kxqbFGW3NpG/1ZRY7/lLnTkHtX0MIw7bublx2KmIybLH8OZ997WXedGPXgc/F6R3KhAK1OtQweSO8sfJySkhGNv/1yStNDgsgIb+b+56H1MoiYPAQnx+5uHN49UbPTuFsbH06b1T/towjeIn91kbQgmneCiSSTBrefBvk9gQWHxgncAKGluG99PcAhsUaeQjKWXCewoPvwzIBwP5KIlP0gx1mMjJXfk/DiTAFghn0Q54nzillo0pHPCHx9LbDEDNwuYE0bhDirJbmyikTcSr+cQnRb2fJFqbg9r81HhbepHGjBG0SwjdIjmhAP6nrv/W9X/JU0+YoCqZAXuOAjGZq9JqPpeh+5TyR1oMlMH9f3gqDZY0O6VP75wo5sO8Y4MlaWL56wRX4X2FhDRDvKFIRXmRX4/aNJNg1kv4w8sUNvBLORBilIs5tAk2cxg5N0wmvKfwOJfNK/HZyZ0fWe7sA+OgVIqTxKllYwqHWtoMkI9i49fJzOckZZ+Z11nBJEvJ+m0v4ylZ8ILOeyyhTczjtBeq2HrvcTn98h8Kgg5SOmXRlWgjuii7U/Z8HNy4mXLVr8P7Wjn9j67/0nXbz/VSnwU0gxwndTsFS8+N1UT3HsitOxUwtv+PwdRPiyVlFMAxKx1pBhW5Nk9533xahgePHuv5ZMnY89/scQ42CoP19RvdwRxlcA5tgQ0zLtew5vC0Z5goHgGm6EB6MhwIk90pk2xEcWjzo1wvA4Urps3A2xxsAmWIOiUsu7WJKMrrPQqu9/WFW5/C/yoJdJDSKaeuxLgeGpPo06GU436HNwrgYUiNECWEZddOYWsLj4IyXDrCi5kmFNz/p3SosNDemXdyJ24oTTlfoRi5iuXdJzpiqDeQt7yT12eN7/4/o9isYG8LbMA2hv8K1rNEHcNjmCHygeztTTlkYwyHWtoM9ZIam1RltzaRt9WUWu95S71B6hobWQpnDD+H+Hzb2CrdOWmlCMuhRMoxJFbw/E/NDf1XvV+vil1RZFU2gyMgY6FzQKPAoQjcl1to2csJSEz7Jk1oOOjSKY8pGFgNT6yE4qGxGupOfnQYjQKpd8c7h0aGeSnYLjSFzVKmtsAGZSLn0vjSsofijeIxiECZYrI6CJr1NYdsjOJQSZsB9NnYqEz0U27vT2h/4xX9QaKyW5vI2iSKrfe8pd4gdck/fQNXtaQy8Ek3PhfHFjI37qOffKUrm9HnMAqgQET5Q5Fq9v/p7lNnbRP4dLr3dTWKYRvoudwJ80L3kKLoZuFt8OZG5QVJaXD4hIGAgxEvdEepQ/lzaePHx6OdgnlP75/qfVflT/kvwUaszyflsQU2WHQ5BBQk8YAf9e9m7a7+e99pDEZO7DgDDz/HB3p54jts9ZxbNmbgUGSbAf8l2CgOMsgkkfZAf0Tbi60opCi7tQkBnJIqqfeURba01iHABP47yY0b9x/q/TO9MznLQreePn1K58L3w1AwsmWUhfudExVeDjv2FPpK5F9ijT91dgrdzpzum71wwDyPQjv8G77dGBMvb5Q52wG6etuNmQQZqxx0GiioizFWXOop1SGQWaVq8yxKNmYxnjmQcHHbTpqvFZCd3LJOAJW+tYlBvQqTTduE8tu83gdF3vxVZeYwC583u7V55mdkKP7ceF+1ruTjffuM8lvQUwSc8jC09vFuyvQpXiW5YFGpetlgACb7WqNWzUHY2CvLxzErUyyOuedBANlE4WPlggmlswroMRtZmziFdus2sUe9n5baXA6BgCmAK6pZmjQdNErg3UAyLwNu5lQIAqo7vrmItWuLgTVrqVUGJhyPdF9lcVZ89pO5SU1Wni3xOAKqA6xO1AV7frGKoJS77QjxiCt9lJe1iQGGwmSzNqG8dqn3QZHt9UAImAK4vrKxurAHp6G2EXPQBOXQ6AMCISX5g+8+TymsZvtw3s8VK1Eng32vKt5KlI09gcMSh1LviD3GWx3usTbhUN/+vme9b19ay3F3BI50CCQL2FL0+B9h9jChCKL00XHvshE/SwFXJCpMsK6xpIH1gkMuKCqxgzTy2pbEDycr+U7h17qwflRH8C6mKUNVljvxW7Rs7CwIKAIPhNED3elPOAyyyZYS5EiXtYl9BGC3et+nuJbr3gjYIZC9a8DyNwQMAUPAEDAEDoqAJhx2CGTDuvfxtiXgDYG3rAwBQ8AQMAQMAUPAECgBgc0VQGmf7ph7CeWvkgfDMF5thk0cG/M5NgLWNuL1b9jEsTGfy0VgUwVQjYxTTpxW9Dc4Xy66GUpmGMZBNWzi2JhPHQhIhvlXouQnfq1txOvfsIljc46PcAz9ycI5SVjYjRHYTAGUcKD08WVro4UIGIZx4AybODbmUwcCkmE+NMuBsqQnfq1txOvfsIljs8CH/6zloJ9RJQhspgAKDzZ6PqsEl1LZNAzjNbMZNurk+H4g+VVJ8E4ZSmPecL36SXWS43M+m7WN0mRqBj+bYXPp8q3yMXHhFHm1feMMebmoILM+A4PgqtT8TdA7XXzgmDvEki5ExTs3wjKT5fMozT8t6M57VZ+pEL+zqcWnKasiuYGVP3buPt3QhjEMA6jWhE3LK39b9HmgKFU4iXf+eJxPiyCjRbRL8UG7OSyuKj+fkfpZd9ePNrLU4mL9RqBl1YRNy+vFy7fKSZ/yRtcvunqyHKhCc/IQEF539MqngMCNNs/fetIndHqE3pPSLAVQOfJx0E6hcxyIMf6i6K3uvcFQ73RmFMDRY7khGBTwoqgtE8s23cxdz1TiK935r1m3nGMYxmu+JmxGP7qs+mZShCXnYz2X3AHyrcrnuvgD8hLosLhKTlB+sZp8FKiImtpGgP2sTjVhcyT5ZvxnDKR+jOYjQH/8TP1B83ecuqMvOT0iy0T99kzeWPJyFq4mSttpwaBTcPykXumlYVjh6NgQiEslBvveh59brBj8/f0QF42hyvyFrqWbgKvAppXll7r3GqPem49c646cP9ZFuyiaxCvy+bvuS+ssWfnEA33EkXFloMQqS50MqYq2MWR67rvKbP3G5fUbKDC2DDy3EShc2wfS1hvlj6h6pj/g3dcj8EpGkxZAMcHybejTLe6kWsiPAZAOnTuDY2/ATMZ9GQmBAwov5lqfUIzp3MAPCuF0eAwrky8mQT1rNxWrMtBQGwuwnlGo3NYIvEumZ2LuT12r/kM4QQGPjiuDZW8SCaaSJet7I8JVGTaHkm/VDfsAm72Aulf5D0sRscvpzPgRMqa9kPu3whE9inEmKc2yAEYq0Q2EIaY5DQSzKDif6Jm9D84sTAFYMr2UGQLKLZo7ym6U5B9qCIahEKsBG/HIMh28XsxkRmWhjdJRu4kIRdyUlPehcVX5UfLoO0L96JX8rd+ISGQN2IjHo8o38txti4pUoTl/QCDWB9NHQzH/G9+Fv9dT8STAsQ2IMMTg4RjskpJb05npjvnSN2nSGFD82A8YikdH+J2uptHo/pvCdR2gnvFnb8FXungeEssom+47UH6xPVTO8hfEqGX88BgKv63la6n8YNULDtJDISzlvW0v0fbU8vlS99jsc4uiHB3XBwL5neoq1B9u3TaistLK0tK2k1yOrN9IDmmXYKJ+gzMAjNNGEwi0eBPq7UhQpxONBDnfa1IBDCUphmEGBeyXkH/ITXFQ/NyM4Ce9c7rFVw5RhpqNsnI/GWjlhkKFv5tZOGUQi0yj9ClMEdYZ8UFZwIiDMycdu9yv5G4YAkSAMmGzVn6w1mbbixGAYZWTMBxtT17ibF/YdNLk5c3j0XFlAjm738rUNkZlRXmubTuDKs/zmgmbtWU/qnwzeWHZMsvSZR4J2i3Vu23OIV3BKYX3cnB3vTBROgwotK/txmfwK0HAktdZ83zvtuGS1pd6Dil/KHuckHkif19pBDiWl2d3oAq/BbHc/av4Yu9HjAzDGDIfzN2p5CuF/KCwu8YY57wAH8kdvEbb04BFygQ+e9HRcT23/NZvxCU1NTbWb8Sxnuo3XF+JfL+OJ2M+HgKb98PXXubnPI7tXTsnHReWpQWIz6Y8vHm84ltCTmHEn6XUTvlrwzSKn9xnzTIIp3goknOBfqewKJ2zBVhhUf44XTllVakVQ+rCdbR67AhM76rcjzuXDw/UnbP+fnCNP+XAZq38MNlAHpKScAG31DI51Z78MtCG6KRHKROf5HloXNvynzOBzdE2qIfcfa/1G6CciDK1x5T9husrnXUrUckvMhmnLIcK5/D7d8hzrdtSBRAFYGxv25UElNOQmC1h/J7ep6xhWP66MArvBEjOzb7BkEJ1X36jfBDZUZtmbM+eC7b43pb5SvcQr8N0JzEkgtKijCyZT/FNeltg2NUR/DkSf+zl4jBMihOls7Bxec+4s/0gVCdnyc+MfM4OIryQ86m6PTfdKVk4N72rTHyezcfcCJn4TY6rysMEYGwAGBZ5sm2o7CX2vdZvDGtyxXtl8r2ipJcflbrURUGdsucXmv4BOmeSeBNjxu/1jDC9IGIUawFMRff/KQwDbqf06Z3PofDPAzErEOkFFTnFcdYJNqsP6bEcTpaMh4G2eKeMyocTz52i4XjXvVd5rfsUhignpIVQOCHQY5Sqx5CSzcEmikDAo00Pn7XywyA9px4CXGzuFJWFACfIV08+A2FyOh0d13cCN9Txn2A+p20ozOH6XoCag80JoCMObXqEsH4jjNPcfgP5NppGAD0mNL64viGLnnN7mq+TEMxAobH9Wcz2On81JpZuUQJDBSSt17pcQXn3yc2Oe4OU0rqvQCiHwZmln0Du55YXllA65a/NE6UwRJMYKi0+pUN6P4cSCLhVjaFXnklsvLBzHlPJD/IXk9E5fGwZZkwWhnzQhvbspA3XYY3E3+e0jUP1vR5Uc7Dxgk8+Wr8xDtFUv+HG+t64PZ7koX05YMgXAYbE6pD7rN7Qb/X7EgXQWfGCGqmUFioe4XANyDHJIOMaqXNzdzqtR21c53bFuy7ikVcXV26k704M478bebxgxuX7hlwcTIG/b3QPNYBRDBcWploMB+VNio3wTyU/KFWpl2oHRU/2GpWFQA6UKdiWA2FzOB0dV/qHOzOBHW0bknXSOUzfO8BsFJtB2MlX6zc+QNTK1QeHm6epfsNNlod6wDAdexcCwpjzDvytbmc0anHnUzpPcoF0PSdhMcLmUCxuVCp36Lnc6bxe6O7v+6IDgoaKGYLghKIJ4H4Un0MTNGD2ur3Qnbgofy5d/FCsXNr39P6p3od5yHlzQtGDL/bdDKlT/sTrORgO05l8V/rVYrgUmzae2xwbOuThcEshP1i0OeATJPGCH/LtJiquffS+ZRmMnNhxhiz4OTLrzNbB+BlFno+OK/3ddxFsrloZp89FtrhDTrYO3feeic0Ncvpt41m/0SFy8yBcpsYQP8ZUv8GYiFGkhDHa57vkZ5Tq74SZ03Me6v0zvTNJzkK3nj59SqfyShcK1eqMlIZL7yM9d5WvZz4MiWXMKXVZCnRpiQovZgQov8O/miuqqC2fqQ6BTJZN+aFwsa+UTguZAyN3QnIy/pIASh8ZZqm/U+yXpFNKHJWDjgYFdVfZOjKuKjsTBpTgXn+5REaUVnV9r3imf7N+Y0mF7xRHdTbZbygM/TP1OtknKwz7VtENbu1UpFnZij/XvpLoSrMyzRDIx/t2hvRdknfdQ3sfvg+87bVyBFhGZK/nVkQnxD/KMICgkGHly01YcVlevRRijykd9d50WFwlv7QbJspYVFLRsK8dvqfKJ0U61m+kQHHbNOb0G8hzdw5gW/Yst7kI5FAAnXXkzoAJ3ldbGAdp2mshCGggw9zv6n4LrlDEGDhZgv9LFwphVlL52KfBrDZ7XlkLosRVBtoj+253t8iLh6Pj+ovqYtJSMkMmXPurpu9V3Vu/MaNiSwkyp99ow9wXz+47vqWwb3wMEEiuAHEBH3YAAAG2SURBVNKglQcdUWjWGTpSP2DJXg2BcQQkY1j9GDj45xiWDbA8ur1345HX+86Z/a7PJX8KKM5bWE3nluTIuGKFZRlsFVnfOw6f9Rvj+Mz0ndNvcHCBf8JCFzAqGIHkCmBbVjq0bnBpG54JxHJBCCnTy1OrPyZLhr6VgwNGm5xklSwzueF09+oBe69qaHmPnVDfha0j46qyszLCXlYmNmvJ+t44gtZvxLGZ9Dmj32B15tlkghZgdwSSHwJxJZKwuMbGLIDBmv1aNiNwAE3chRXLjM3nPHTnGSvX8NSfnI5HbUfkCo5s8Z2kTRRAl6ndDYGUCEh+kWNO93IScBUpDet7AwgKF3/SZv1GAKO1Ti3G/CHC7L3SbRw7BLIW/Jnxfbx9BTAUHatdZ8kLBTA3Q8AQMAQMgfUIqK/FAhj6oPz6xC0FQyAzApJfDBUoctH9rPLjSwqEOyH51XIK+IR3ORSpK03hzXcAWdKKaet2aCNU1eZmCBgChkBiBNRZM4hc6eJwjlm0E+NryWVHAD1iymDkrNPZmcmQQY260ijet96/f58BJ0vSEDAEDAFDwBAwBAwBQ6BUBP4f9NHfPgCqRZMAAAAASUVORK5CYII=\n", "text/latex": [ - "$\\displaystyle \\left[\\begin{matrix}- T_{0}^{4} \\epsilon \\sigma - T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{s}^{4} \\sigma\\\\- 2 T_{0}^{4} \\epsilon \\sigma - T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{1}^{4} \\epsilon \\sigma - T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right) + T_{s}^{4} \\sigma\\\\T_{0}^{4} \\epsilon \\sigma - 2 T_{1}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right) - \\left(1 - \\epsilon\\right) \\left(T_{0}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)\\right)\\end{matrix}\\right] = \\left[\\begin{matrix}T_{e}^{4} \\sigma\\\\0\\\\0\\end{matrix}\\right]$" + "$\\displaystyle \\left[\\begin{matrix}T_{0}^{4} \\epsilon \\sigma + T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{e}^{4} \\sigma - T_{s}^{4} \\sigma\\\\- 2 T_{0}^{4} \\epsilon \\sigma - T_{1}^{4} \\epsilon \\sigma \\left(1 - \\epsilon\\right) + T_{1}^{4} \\epsilon \\sigma - T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right) + T_{s}^{4} \\sigma\\\\T_{0}^{4} \\epsilon \\sigma - 2 T_{1}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right) - \\left(1 - \\epsilon\\right) \\left(T_{0}^{4} \\epsilon \\sigma + T_{s}^{4} \\sigma \\left(1 - \\epsilon\\right)\\right)\\end{matrix}\\right] = \\left[\\begin{matrix}0\\\\0\\\\0\\end{matrix}\\right]$" ], "text/plain": [ - "⎡ 4 4 4 ⎤ \n", - "⎢ - T₀ ⋅ε⋅σ - T₁ ⋅ε⋅σ⋅(1 - ε) + Tₛ ⋅σ ⎥ ⎡ \n", - "⎢ ⎥ ⎢T\n", - "⎢ 4 4 4 4 4 ⎥ ⎢ \n", - "⎢ - 2⋅T₀ ⋅ε⋅σ - T₁ ⋅ε⋅σ⋅(1 - ε) + T₁ ⋅ε⋅σ - Tₛ ⋅σ⋅(1 - ε) + Tₛ ⋅σ ⎥ = ⎢ \n", - "⎢ ⎥ ⎢ \n", - "⎢ 4 4 4 ⎛ 4 4 ⎞⎥ ⎣ \n", - "⎣T₀ ⋅ε⋅σ - 2⋅T₁ ⋅ε⋅σ + Tₛ ⋅σ⋅(1 - ε) - (1 - ε)⋅⎝T₀ ⋅ε⋅σ + Tₛ ⋅σ⋅(1 - ε)⎠⎦ \n", - "\n", - " \n", - " 4 ⎤\n", - "ₑ ⋅σ⎥\n", - " ⎥\n", - " 0 ⎥\n", - " ⎥\n", - " 0 ⎦\n", - " " + "⎡ 4 4 4 4 ⎤ \n", + "⎢ T₀ ⋅ε⋅σ + T₁ ⋅ε⋅σ⋅(1 - ε) + Tₑ ⋅σ - Tₛ ⋅σ ⎥ \n", + "⎢ ⎥ ⎡0⎤\n", + "⎢ 4 4 4 4 4 ⎥ ⎢ ⎥\n", + "⎢ - 2⋅T₀ ⋅ε⋅σ - T₁ ⋅ε⋅σ⋅(1 - ε) + T₁ ⋅ε⋅σ - Tₛ ⋅σ⋅(1 - ε) + Tₛ ⋅σ ⎥ = ⎢0⎥\n", + "⎢ ⎥ ⎢ ⎥\n", + "⎢ 4 4 4 ⎛ 4 4 ⎞⎥ ⎣0⎦\n", + "⎣T₀ ⋅ε⋅σ - 2⋅T₁ ⋅ε⋅σ + Tₛ ⋅σ⋅(1 - ε) - (1 - ε)⋅⎝T₀ ⋅ε⋅σ + Tₛ ⋅σ⋅(1 - ε)⎠⎦ " ] }, "execution_count": 35, @@ -1857,7 +1827,7 @@ "outputs": [ { "data": { - "image/png": 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StLUur2YrSfDvHW28dXNz0ylRSmBDaPtWaAcZu2EIGAKGgCGwVwTkG5kyY3tW3tGvF5eCR9+cKRvPMwTIcKAFQ8AQMAQMAUPAEDgcfnYgvGiD0edMvcf1c2ztfHZtCBgChoAhYAjsBgHXuWS6jCk8FnedhKAzdQlxqH6D6JNMdmEIGAKGgCFgCOwFAflE1p0wvMval/rLZ035g3OmPoEIPFS82npOZ3bagZAFQ8AQMAQMAUNgFwjI7/EKId9kZcHm931+cNCZgpQyMm8KIeJBj8wzC4aAIWAIGAKGwCUhIJ/HgiP8H58N7d0KFpn/D2NGpnicE8CPAAAAAElFTkSuQmCC\n", + "image/png": 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"text/latex": [ "$\\displaystyle \\left\\{ T_{0}^{4} : \\frac{- T_{e}^{4} \\epsilon - T_{e}^{4}}{\\epsilon - 2}, \\ T_{1}^{4} : - \\frac{T_{e}^{4}}{\\epsilon - 2}, \\ T_{s}^{4} : \\frac{- T_{e}^{4} \\epsilon - 2 T_{e}^{4}}{\\epsilon - 2}\\right\\}$" ], @@ -1905,7 +1875,6 @@ "outputs": [ { "data": { - "image/png": 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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}T_{s}\\\\T_{0}\\\\T_{1}\\end{matrix}\\right] = \\left[\\begin{matrix}\\sqrt[4]{\\frac{- T_{e}^{4} \\epsilon - 2 T_{e}^{4}}{\\epsilon - 2}}\\\\\\sqrt[4]{\\frac{- T_{e}^{4} \\epsilon - T_{e}^{4}}{\\epsilon - 2}}\\\\T_{e} \\sqrt[4]{- \\frac{1}{\\epsilon - 2}}\\end{matrix}\\right]$" ], @@ -1979,7 +1948,6 @@ "outputs": [ { "data": { - "image/png": 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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}T_{s}\\\\T_{0}\\\\T_{1}\\end{matrix}\\right] = \\left[\\begin{matrix}1.16291953299473 T_{e}\\\\1.02912806093786 T_{e}\\\\0.917045338028656 T_{e}\\end{matrix}\\right]$" ], @@ -2022,7 +1990,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/latex": [ "$\\displaystyle \\left[ 254.909060186948\\right]$" ], @@ -2047,7 +2015,7 @@ "outputs": [ { "data": { - "image/png": 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"text/latex": [ "$\\displaystyle 254.909060186948$" ], @@ -2088,7 +2056,6 @@ "outputs": [ { "data": { - "image/png": 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"text/latex": [ "$\\displaystyle \\left[\\begin{matrix}T_{s}\\\\T_{0}\\\\T_{1}\\end{matrix}\\right] = \\left[\\begin{matrix}296.4\\\\262.3\\\\233.8\\end{matrix}\\right]$" ], @@ -2129,7 +2096,6 @@ "outputs": [ { "data": { - "image/png": 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"text/latex": [ "$\\displaystyle \\left[\\begin{matrix}T_{s}\\\\T_{0}\\\\T_{1}\\end{matrix}\\right] = \\left[\\begin{matrix}288.0\\\\275.0\\\\230.0\\end{matrix}\\right]$" ], @@ -2277,9 +2243,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python (climlab)", "language": "python", - "name": "python3" + "name": "climlab" }, "language_info": { "codemirror_mode": { @@ -2291,7 +2257,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.11.6" } }, "nbformat": 4,