{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "hideCode": false, "hideOutput": true, "hidePrompt": false, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "%display typeset" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "slide" } }, "source": [ "# Differentiability \n", "## Two examples" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "slide" } }, "source": [ "## Recall \n", "\n", "* Write $\\mathbf{r} = (x,y), \\mathbf{r}_0 = (x_0,y_0)$ and so on...,\n", "* Let $f$ be defined on a region $\\mathcal{R}$ of $\\mathbb{R}^2$ containing the point $\\mathbf{r}_0 = (x_0,y_0)$.\n", "* Its **linear approximation** at $\\mathbf{r}_0$ is $$T(\\mathbf{r}) = f(\\mathbf{r}_0) + \\nabla f (\\mathbf{r}_0)\\cdot (\\mathbf{r} - \\mathbf{r}_0)$$\n", "* Upon expanding, one can equivalently (but it is longer to do so) write $$T(x,y) = f(x_0,y_0) + f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)$$" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "slide" } }, "source": [ "### Differentiability\n", "\n", "The function $f$ is differentiable at $\\mathbf{r}_0$ if the error made by by replacing $f(\\mathbf{r})$ by $T(\\mathbf{r})$ is **small compared to** $||\\mathbf{r}- \\mathbf{r}_0||$.\n", "\n", "* This means that near $\\mathbf{r}_0$, $f$ and $T$ beheave in the same way.\n" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "fragment" } }, "source": [ "* So their contour plots should look pretty similar." ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "fragment" } }, "source": [ "* But since $T$ is linear, its contour plot is formed by parallel lines (whose common normal vector is precisely $\\nabla f(\\mathbf{r}_0)$ provided it is non zero).\n", "\n", "* Sometimes one refers to differentiability (at a point) as *local linearity* (near that point)" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "slide" } }, "source": [ "## Example 1\n", "\n", "Let us consider the function $f$ given by $f(x,y) = 2x^2 +y^2$, and study its differentiability at $(1,1)$. \n", "\n", "Below we have the surface and its tangent plane. A direct calculation shows $T(x,y) = 4x+2y-3$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "hideCode": false, "hideOutput": false, "hidePrompt": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var('x,y')\n", "f(x,y) = 2*x^2 + y^2\n", "x0, y0 =1,1\n", "T(x,y) = taylor(f(x,y), (x,x0), (y,y0), 1)\n", "Surface = plot3d(f(x,y), (x,0,2), (y,0,2), color = \"orange\",opacity= 0.65, mesh = 1)\n", "Plane = plot3d(T(x,y), (x,0,2), (y,0,2), color = \"green\",opacity= 0.65, mesh = 1)\n", "show(Surface + Plane, aspect_ratio = [4,4,1])" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "slide" } }, "source": [ "Let us now see the two contour plots, together, with different zoom factors." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "hideCode": true, "hidePrompt": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics Array of size 1 x 3" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Fig1 =contour_plot(f, (x,0,2), (y,0,2), cmap = \"Oranges\", fill = False, contours = 15)\n", "Fig1 += contour_plot(T, (x,0,2), (y,0,2), cmap = \"Blues\", fill = False, contours = 15)\n", "Fig2 =contour_plot(f, (x,0.5,1.5), (y,0.5,1.5), cmap = \"Oranges\", fill = False , contours = 15)\n", "Fig2 += contour_plot(T, (x,0.5,1.5), (y,0.5,1.5), cmap = \"Blues\", fill = False, contours = 15)\n", "Fig3 =contour_plot(f, (x,0.9,1.1), (y,0.9,1.1), cmap = \"Oranges\", fill = False , contours = 15)\n", "Fig3 += contour_plot(T, (x,0.9,1.1), (y,0.9,1.1), cmap = \"Blues\", fill = False, contours = 15)\n", "Array = graphics_array((Fig1, Fig2, Fig3))\n", " \n", "Array.show(figsize = 8) \n" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "fragment" } }, "source": [ "One clearly sees that the contour plots tend to be pretty much the same. The function is **differentiable** at $(1,1)$" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "slide" } }, "source": [ "### Warning\n", "* This interpretation of differentiability **heavily relies** on the fact that the linear approximation is nonzero at the approximation point.\n", "* To wit, let us consider the same function $f$, but let us now use $(0,0)$ as approximation point. We have $T(x,y) = 0$.\n", "* Below, the surface and the tangent plane." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var('x,y')\n", "f(x,y) = 2*x^2 + y^2\n", "x0, y0 =0,0\n", "T(x,y) = taylor(f(x,y), (x,x0), (y,y0), 1)\n", "Surface = plot3d(f(x,y), (x,-1,1), (y,-1,1), color = \"orange\",opacity= 0.65, mesh = 1)\n", "Plane = plot3d(T(x,y), (x,-1,1), (y,-1,1), color = \"green\",opacity= 0.65, mesh = 1)\n", "show(Surface + Plane, aspect_ratio = [2,2,1])" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "slide" } }, "source": [ "### A comment on the contour plots\n", "\n", "The linear approximation is zero, so its contour plot is something tricky : at level zero, the **contour line** is the whole plane, whereas all other level curves are **empty**\n", "\n", "Let us now see the contour plots for $f$ with different zoom factors. We see that **near the origin** they do not look like the contour lines of its linear approximation $T$. Instead, they look like ellipses. However, one can compute $$ \\lim_{\\mathbf{r} \\to \\mathbf{0}} \\frac{f(\\mathbf{r}) - T(\\mathbf{r})}{||\\mathbf{r}||} = 0$$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics Array of size 1 x 3" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Fig1 =contour_plot(f, (x,-1,1), (y,-1,1), cmap = \"Oranges\", fill = False, contours = 15)\n", "Fig2 =contour_plot(f, (x,-0.5,0.5), (y,-0.5,0.5), cmap = \"Oranges\", fill = False , contours = 15)\n", "Fig3 =contour_plot(f, (x,-0.1,0.11), (y,-0.1,0.1), cmap = \"Oranges\", fill = False , contours = 15)\n", "Array = graphics_array((Fig1, Fig2, Fig3))\n", " \n", "Array.show(figsize = 8) " ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "slide" } }, "source": [ "## Example 2\n", "\n", "Let us consider the function $f$ given by $f(x,y) = ||x| - |y| | - |x| - |y|$, and study its differentiability at $(0,0)$. \n", "\n", "Using the limit definition of the partial derivatives, one can get that, at the origin, $T(x,y) = 0$.\n", "\n", "Below we have the surface and its tangent plane. In particular, note that no matter how close one looks at the surface, it does not fit its tangent plane!" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "Graphics3d Object" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var('x,y')\n", "f(x,y) = abs(abs(x) - abs(y)) - abs(x) - abs(y)\n", "x0, y0 = 0,0\n", "T(x,y) = 0\n", "Surface = plot3d(f(x,y), (x,-1,1), (y,-1,1), color = \"orange\",opacity= 0.65, mesh = 1)\n", "Plane = plot3d(T(x,y), (x,-1,1), (y,-1,1), color = \"green\",opacity= 0.65, mesh = 1)\n", "show(Surface + Plane, aspect_ratio = [2,2,1])" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "slide" } }, "source": [ "### A comment on the contour plots\n", "\n", "Same comment as before here!\n", "\n", "Let us now see the contour plots for $f$ with different zoom factors. We see that **near the origin** they do not look like the contour lines of its linear approximation $T$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics Array of size 1 x 3" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Fig1 =contour_plot(f, (x,-1,1), (y,-1,1), cmap = \"Oranges\", fill = False, contours = 15)\n", "Fig2 =contour_plot(f, (x,-0.5,0.5), (y,-0.5,0.5), cmap = \"Oranges\", fill = False , contours = 15)\n", "Fig3 =contour_plot(f, (x,-0.1,.1), (y,-0.1,0.1), cmap = \"Oranges\", fill = False , contours = 15)\n", "Array = graphics_array((Fig1, Fig2, Fig3))\n", " \n", "Array.show(figsize = 8) " ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false, "slideshow": { "slide_type": "fragment" } }, "source": [ "In order to show the function is not differentiable at $(0,0)$, one has to go by the definition: show that\n", "$$ \\lim_{\\mathbf{r} \\to \\mathbf{0}} \\frac{f(\\mathbf{r}) - T(\\mathbf{r})}{||\\mathbf{r}||} \\ne 0$$" ] } ], "metadata": { "celltoolbar": "Hide code", "hide_code_all_hidden": false, "kernelspec": { "display_name": "SageMath 9.0", "language": "sage", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }