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Revert changes to pmatrix, since it's unrelated

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Joaquín Ruales 2021-10-06 17:28:41 -07:00 committed by GitHub
parent 927aa58a88
commit 3831acbcd2
1 changed files with 20 additions and 20 deletions
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40
math_differential_calculus.ipynb
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@ -1213,18 +1213,18 @@
"$\n", "$\n",
"\\mathbf{J}_\\mathbf{f}(\\mathbf{x}_\\mathbf{A}) = \\begin{pmatrix}\n", "\\mathbf{J}_\\mathbf{f}(\\mathbf{x}_\\mathbf{A}) = \\begin{pmatrix}\n",
"\\dfrac{\\partial f_1}{\\partial x_1}(\\mathbf{x}_\\mathbf{A})\n", "\\dfrac{\\partial f_1}{\\partial x_1}(\\mathbf{x}_\\mathbf{A})\n",
"& \\dfrac{\\partial f_1}{\\partial x_2}(\\mathbf{x}_\\mathbf{A})\n", "&& \\dfrac{\\partial f_1}{\\partial x_2}(\\mathbf{x}_\\mathbf{A})\n",
"& \\dots\n", "&& \\dots\n",
"& \\dfrac{\\partial f_1}{\\partial x_n}(\\mathbf{x}_\\mathbf{A})\\\\\n", "&& \\dfrac{\\partial f_1}{\\partial x_n}(\\mathbf{x}_\\mathbf{A})\\\\\n",
"\\dfrac{\\partial f_2}{\\partial x_1}(\\mathbf{x}_\\mathbf{A})\n", "\\dfrac{\\partial f_2}{\\partial x_1}(\\mathbf{x}_\\mathbf{A})\n",
"& \\dfrac{\\partial f_2}{\\partial x_2}(\\mathbf{x}_\\mathbf{A})\n", "&& \\dfrac{\\partial f_2}{\\partial x_2}(\\mathbf{x}_\\mathbf{A})\n",
"& \\dots\n", "&& \\dots\n",
"& \\dfrac{\\partial f_2}{\\partial x_n}(\\mathbf{x}_\\mathbf{A})\\\\\n", "&& \\dfrac{\\partial f_2}{\\partial x_n}(\\mathbf{x}_\\mathbf{A})\\\\\n",
"\\vdots & \\vdots && \\ddots && \\vdots \\\\\n", "\\vdots && \\vdots && \\ddots && \\vdots \\\\\n",
"\\dfrac{\\partial f_m}{\\partial x_1}(\\mathbf{x}_\\mathbf{A})\n", "\\dfrac{\\partial f_m}{\\partial x_1}(\\mathbf{x}_\\mathbf{A})\n",
"& \\dfrac{\\partial f_m}{\\partial x_2}(\\mathbf{x}_\\mathbf{A})\n", "&& \\dfrac{\\partial f_m}{\\partial x_2}(\\mathbf{x}_\\mathbf{A})\n",
"& \\dots\n", "&& \\dots\n",
"& \\dfrac{\\partial f_m}{\\partial x_n}(\\mathbf{x}_\\mathbf{A})\n", "&& \\dfrac{\\partial f_m}{\\partial x_n}(\\mathbf{x}_\\mathbf{A})\n",
"\\end{pmatrix}\n", "\\end{pmatrix}\n",
"$\n", "$\n",
"\n", "\n",
@ -1257,18 +1257,18 @@
"$\n", "$\n",
"\\mathbf{H}_f(\\mathbf{x}_\\mathbf{A}) = \\begin{pmatrix}\n", "\\mathbf{H}_f(\\mathbf{x}_\\mathbf{A}) = \\begin{pmatrix}\n",
"\\dfrac{\\partial^2 f}{\\partial {x_1}^2}(\\mathbf{x}_\\mathbf{A})\n", "\\dfrac{\\partial^2 f}{\\partial {x_1}^2}(\\mathbf{x}_\\mathbf{A})\n",
"& \\dfrac{\\partial^2 f}{\\partial x_1\\, \\partial x_2}(\\mathbf{x}_\\mathbf{A})\n", "&& \\dfrac{\\partial^2 f}{\\partial x_1\\, \\partial x_2}(\\mathbf{x}_\\mathbf{A})\n",
"& \\dots\n", "&& \\dots\n",
"& \\dfrac{\\partial^2 f}{\\partial x_1\\, \\partial x_n}(\\mathbf{x}_\\mathbf{A})\\\\\n", "&& \\dfrac{\\partial^2 f}{\\partial x_1\\, \\partial x_n}(\\mathbf{x}_\\mathbf{A})\\\\\n",
"\\dfrac{\\partial^2 f}{\\partial x_2\\,\\partial x_1}(\\mathbf{x}_\\mathbf{A})\n", "\\dfrac{\\partial^2 f}{\\partial x_2\\,\\partial x_1}(\\mathbf{x}_\\mathbf{A})\n",
"& \\dfrac{\\partial^2 f}{\\partial {x_2}^2}(\\mathbf{x}_\\mathbf{A})\n", "&& \\dfrac{\\partial^2 f}{\\partial {x_2}^2}(\\mathbf{x}_\\mathbf{A})\n",
"& \\dots\n", "&& \\dots\n",
"& \\dfrac{\\partial^2 f}{\\partial x_2\\, \\partial x_n}(\\mathbf{x}_\\mathbf{A})\\\\\n", "&& \\dfrac{\\partial^2 f}{\\partial x_2\\, \\partial x_n}(\\mathbf{x}_\\mathbf{A})\\\\\n",
"\\vdots & \\vdots && \\ddots && \\vdots \\\\\n", "\\vdots && \\vdots && \\ddots && \\vdots \\\\\n",
"\\dfrac{\\partial^2 f}{\\partial x_n\\,\\partial x_1}(\\mathbf{x}_\\mathbf{A})\n", "\\dfrac{\\partial^2 f}{\\partial x_n\\,\\partial x_1}(\\mathbf{x}_\\mathbf{A})\n",
"& \\dfrac{\\partial^2 f}{\\partial x_n\\,\\partial x_2}(\\mathbf{x}_\\mathbf{A})\n", "&& \\dfrac{\\partial^2 f}{\\partial x_n\\,\\partial x_2}(\\mathbf{x}_\\mathbf{A})\n",
"& \\dots\n", "&& \\dots\n",
"& \\dfrac{\\partial^2 f}{\\partial {x_n}^2}(\\mathbf{x}_\\mathbf{A})\\\\\n", "&& \\dfrac{\\partial^2 f}{\\partial {x_n}^2}(\\mathbf{x}_\\mathbf{A})\\\\\n",
"\\end{pmatrix}\n", "\\end{pmatrix}\n",
"$" "$"
] ]