wyk/11_Propagacja_wsteczna.ipynb

@@ -1,6 +1,7 @@
 {
  "cells": [
   {
+   "attachments": {},
    "cell_type": "markdown",
    "metadata": {
     "slideshow": {
@@ -25,6 +26,7 @@
    ]
   },
   {
+   "attachments": {},
    "cell_type": "markdown",
    "metadata": {
     "slideshow": {
@@ -252,6 +254,18 @@
     "$$ f(x_1, x_2) = x_1 \\cdot x_2 \\qquad \\to \\qquad \\frac{\\partial f}{\\partial x_1} = x_2, \\quad \\frac{\\partial f}{\\partial x_2} = x_1, \\quad \\nabla f = (x_2, x_1) $$ "
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "slideshow": {
+     "slide_type": "subslide"
+    }
+   },
+   "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 @@
    ]
   },
   {
+   "attachments": {},
    "cell_type": "markdown",
    "metadata": {
     "slideshow": {