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2 changed files with 16 additions and 308 deletions

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{
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@ -25,6 +26,7 @@
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@ -252,6 +254,18 @@
"$$ f(x_1, x_2) = x_1 \\cdot x_2 \\qquad \\to \\qquad \\frac{\\partial f}{\\partial x_1} = x_2, \\quad \\frac{\\partial f}{\\partial x_2} = x_1, \\quad \\nabla f = (x_2, x_1) $$ "
]
},
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"source": [
"$$ f(x_1, x_2) = \\max(x_1, x_2) \\hskip{12em} \\\\\n",
"\\to \\qquad \\frac{\\partial f}{\\partial x_1} = \\mathbb{1}_{x_1 \\geq x_2}, \\quad \\frac{\\partial f}{\\partial x_2} = \\mathbb{1}_{x_2 \\geq x_1}, \\quad \\nabla f = (\\mathbb{1}_{x_1 \\geq x_2}, \\mathbb{1}_{x_2 \\geq x_1}) $$ "
]
},
{
"cell_type": "markdown",
"metadata": {
@ -545,6 +559,7 @@
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {
"slideshow": {
@ -818,6 +833,7 @@
]
},
{
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"metadata": {
"slideshow": {