{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"FMP\"\n", "\"AudioLabs\"\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\"C2\"\n", "

Exponential Function

\n", "
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\n", "In this notebook, we review some properties of the complex exponential function. This function plays an important role for defining and understanding the Fourier transform, see Section 2.3.2 of [Müller, FMP, Springer 2015].\n", "

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Power Series\n", "\n", "One encounters the **real exponential function** $\\exp:\\mathbb{R}\\to \\mathbb{R}$ in the context of many mathematical applications, and the function can be characterized in many different ways. Historically, the exponential function was studied already by **Johann Bernoulli** in the $17^\\mathrm{th}$ century when considering **interest rates**: Assume that an amount of $1$ earns an interest $a$ at an annual rate compounded monthly. Then the interest earned each month is $\\frac{a}{12}$ times the current value, so that each month the total value is multiplied by $\\left(1+\\frac{a}{12}\\right)$ and the value at the end of the year is $\\left(1+\\frac{a}{12}\\right)^{12}$. In case the interest is compounded every day, it becomes $\\left(1+\\frac{a}{365}\\right)^{365}$. Letting the time intervals grow per year by making them shorter leads to the limit definition of the exponential function\n", "\n", "$$\\exp(a) = \\mathrm{lim}_{n\\to\\infty} \\left(1+\\frac{a}{n}\\right)^{n},$$\n", "\n", "which was first given by **Leonhard Euler**. The constant $e:=\\exp(1)\\approx 2.71828 \\ldots$ is also known as **Euler's number**. By expanding the $n$-fold product in the above definition, one can show that the exponential function can also be expressed by the following power series:\n", "\n", "$$\\exp(a) := \\sum_{n=0}^{\\infty} \\frac{a^n}{n!} = 1 + a + \\frac{a^2}{1 \\cdot 2} + \\frac{a^3}{1 \\cdot 2 \\cdot 3} + \\dots$$\n", "\n", "with $a\\in\\mathbb{R}$. Replacing in the power series the real-valued variable $a\\in\\mathbb{R}$ by a complex-valued variable $c\\in\\mathbb{C}$, one still obtains the **complex exponential function** $\\exp:\\mathbb{C}\\to \\mathbb{C}$ given by \n", "\n", "$$\\exp(c) := \\sum_{n=0}^{\\infty} \\frac{c^n}{n!} = 1 + c + \\frac{c^2}{1 \\cdot 2} + \\frac{c^3}{1 \\cdot 2 \\cdot 3} + \\dots$$\n", "\n", "Based on the definition of the complex exponential function, one can also extend the definition of trigonometric functions (e.g. $\\sin$ and $\\cos$) to complex arguments.\n", "\n", "The following implementation yields an approximation of the power series by considering only the first $N$ terms specified by the parameter $N\\in\\mathbb{N}$. For the case $c=1$, this yields an approximation for the number $e$." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T09:00:02.939773Z", "iopub.status.busy": "2024-02-15T09:00:02.939466Z", "iopub.status.idle": "2024-02-15T09:00:04.032768Z", "shell.execute_reply": "2024-02-15T09:00:04.032105Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Approximation (N = 1): 1\n", "Approximation (N = 2): 2.0\n", "Approximation (N = 4): 2.6666666666666665\n", "Approximation (N = 8): 2.7182539682539684\n", "Approximation (N = 12): 2.718281826198493\n", "Numpy: 2.718281828459045\n" ] } ], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline\n", "\n", "def exp_power_series(c, N):\n", " \"\"\"Compute power series for exponential function\n", "\n", " Notebook: C2_ExponentialFunction.ipynb\n", "\n", " Args:\n", " c: Complex number\n", " N: Number of summands used for approximation\n", "\n", " Returns:\n", " exp_c: Approximation of exp(c)\n", " \"\"\" \n", " exp_c = 1\n", " c_power = 1\n", " nfac = 1\n", " for n in range(1, N):\n", " nfac *= n\n", " c_power *= c \n", " exp_c += c_power / nfac\n", " return exp_c\n", "\n", "c=1\n", "print('Approximation (N = 1):', exp_power_series(c, 1))\n", "print('Approximation (N = 2):', exp_power_series(c, 2))\n", "print('Approximation (N = 4):', exp_power_series(c, 4))\n", "print('Approximation (N = 8):', exp_power_series(c, 8))\n", "print('Approximation (N = 12):', exp_power_series(c, 12))\n", "print('Numpy: ', np.exp(c))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exponentiation Identity and Euler's Formula \n", "\n", "Based on the power series definition, one may prove two famous formulas of the exponential function that explain many of its properties. The first formula is knowns as **exponentiation identity** and says that \n", "\n", "$$\n", " \\exp(c_1 + c_2) = \\exp(c_1)\\cdot \\exp(c_2)\n", "$$\n", "\n", "for any complex numbers $c_1, c_2\\in\\mathbb{C}$. In particular, this property explains the exponential increase for real arguments. For example, \n", "\n", "$$\n", " \\exp(n) = \\exp(1+1+\\ldots +1) = \\exp(1)^n = e^n\n", "$$\n", "\n", "for $n\\in\\mathbb{N}$. The second famous formula, which is known as **Euler's formula**, relates the values of the exponential function at purely imaginary arguments to trigonometric functions. It states that for the complex number $c = i\\gamma$ with some real-valued $\\gamma\\in\\mathbb{R}$ one has the identity \n", "\n", "$$\\mathrm{exp}(i\\gamma) = \\cos(\\gamma) + i\\sin(\\gamma) .$$\n", "\n", "Actually, starting with the real sine and cosine functions, one often defines $\\mathrm{exp}(i\\gamma)$ by means of the Euler formula (rather than using the power series). This explains the periodic behavior of the real and imaginary part of $\\exp$ along the imaginary (vertical) axis as shown in the next figure. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T09:00:04.064130Z", "iopub.status.busy": "2024-02-15T09:00:04.063860Z", "iopub.status.idle": "2024-02-15T09:00:04.496137Z", "shell.execute_reply": "2024-02-15T09:00:04.495628Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "A, B = np.meshgrid(np.arange(-2, 2, 0.1), np.arange(-12, 12, 0.1))\n", "C = A + B*1j\n", "f_exp = np.exp(C)\n", "\n", "plt.figure(figsize=(12, 4))\n", "extent = [-2, 2, -12, 12]\n", "plt.subplot(1, 3, 1)\n", "plt.imshow(np.real(f_exp), aspect='auto', cmap='seismic', origin='lower', extent=extent)\n", "plt.title('Real part Re(exp(c))')\n", "plt.xlabel('a = Re(c)')\n", "plt.ylabel('b = Im(c)')\n", "plt.colorbar()\n", "plt.subplot(1, 3, 2)\n", "plt.imshow(np.imag(f_exp), aspect='auto', cmap='seismic', origin='lower', extent=extent)\n", "plt.title('Imaginary part Im(exp(c))')\n", "plt.xlabel('a = Re(c)')\n", "plt.ylabel('b = Im(c)')\n", "plt.colorbar()\n", "plt.subplot(1, 3, 3)\n", "plt.imshow(np.abs(f_exp), aspect='auto', cmap='gray_r', origin='lower', extent=extent)\n", "plt.title('Absolute value |exp(c)|')\n", "plt.xlabel('a = Re(c)')\n", "plt.ylabel('b = Im(c)')\n", "plt.colorbar()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic Properties\n", "\n", "The exponential function has a number of interesting properties:\n", "\n", "\\begin{eqnarray}\n", "\\exp(i\\gamma) & = & \\exp(i(\\gamma+2\\pi)) \\\\\n", "|\\exp(i\\gamma)| & = & 1 \\\\\n", "\\overline{\\exp(i\\gamma)} & = & \\exp(-i\\gamma) \\\\\n", "\\exp(i(\\gamma_1+\\gamma_2)) & = & \\exp(i\\gamma_1) \\exp(i\\gamma_2) \\\\\n", "\\frac{d\\exp(i\\gamma)}{d\\gamma} & = & i\\exp(i\\gamma)\n", "\\end{eqnarray}\n", "\n", "In particular, note that the complex values $\\mathrm{exp}(i\\gamma)$ lie on the unit circle of the complex plane for all $\\gamma\\in\\mathbb{R}$. Furthermore, due to periodicity, it suffices to consider $\\gamma\\in[0,2\\pi)$. In fact, $\\gamma$ encodes the angle (in radians) of the complex number $c = \\mathrm{exp}(i\\gamma)$, while $|c|=1$. The following visualization shows how the values $\\mathrm{exp}(i\\gamma)$ change when increasing the angle $\\gamma$ from $0$ to $2\\pi$:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T09:00:04.498759Z", "iopub.status.busy": "2024-02-15T09:00:04.498578Z", "iopub.status.idle": "2024-02-15T09:00:08.817326Z", "shell.execute_reply": "2024-02-15T09:00:08.816596Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot as plt\n", "from matplotlib import ticker \n", "%matplotlib inline\n", "\n", "cmap = plt.cm.get_cmap('hsv') # hsv is nice because it is a circular color map\n", "\n", "N = 64\n", "\n", "fig = plt.figure(figsize=(5 * 3, 5))\n", "ax1 = fig.add_subplot(1, 3, 1, projection='polar')\n", "ax2 = fig.add_subplot(1, 3, 2)\n", "ax3 = fig.add_subplot(1, 3, 3)\n", "\n", "for i in range(N):\n", " gamma = 2 * np.pi * i / N\n", " c = np.exp(1j * gamma)\n", " color = cmap(i / N)\n", " ax1.plot([0, np.angle(c)], [0, np.abs(c)], color=color)\n", " ax1.plot(np.angle(c), np.abs(c), 'o', color=color)\n", " ax2.plot(gamma, np.real(c), 'o', color=color)\n", " ax3.plot(gamma, np.imag(c), 'o', color=color)\n", " \n", "ax2.grid()\n", "ax2.set_xlabel('$\\gamma$ [radians]')\n", "ax2.set_ylabel('$\\mathrm{Re}(\\exp(i \\gamma))$')\n", "ax2.xaxis.set_major_formatter(ticker.FormatStrFormatter('$%s$')) \n", "\n", "ax3.grid()\n", "ax3.set_xlabel('$\\gamma$ [radians]')\n", "ax3.set_ylabel('$\\mathrm{Im}(\\exp(i \\gamma))$')\n", "ax3.xaxis.set_major_formatter(ticker.FormatStrFormatter('$%s$')) \n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Roots of Unity\n", "\n", "Let $N \\in \\mathbb{N}_{>0}$ be a positive integer. A complex number $\\rho \\in \\mathbb{C}$ is called an $N^\\mathrm{th}$ **root of unity** if $\\rho^N = 1$. It is not hard to see that there are exactly $N$ distinct $N^\\mathrm{th}$ roots of unity. Additionally, if $\\rho^n \\neq 1$ for all $n\\in [1:N-1]$, it is called a **primitive** $N^\\mathrm{th}$ root of unity. \n", "\n", "With the properties mentioned above, it is easy to see that $\\rho_N:=\\exp(2 \\pi i / N)$ is such a **primitive** $N^\\mathrm{th}$ root of unity. All $N^\\mathrm{th}$ roots of unity can be generated by considering powers of $\\rho_N$:\n", "\n", "$$1=\\rho_N^0, \\quad \\rho_N^1, \\quad \\rho_N^2, \\quad ...,\\quad \\rho_N^{N-1}$$\n", "\n", "The following plot shows all roots of unity for different integers $N \\in \\mathbb{N}_{>0}$. The primitive roots are indicated in red. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-02-15T09:00:08.820174Z", "iopub.status.busy": "2024-02-15T09:00:08.819974Z", "iopub.status.idle": "2024-02-15T09:00:11.274499Z", "shell.execute_reply": "2024-02-15T09:00:11.273656Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from math import gcd\n", "import sys\n", "sys.path.append('..')\n", "import libfmp.c2\n", "\n", "def plot_root_unity(N, figsize=(5, 5)): \n", " root_unity = np.exp(2j * np.pi / N)\n", " root_unity_power = 1\n", "\n", " fig, ax = plt.subplots(figsize=figsize)\n", " plt.grid() \n", " plt.xlim([-1.4, 1.4])\n", " plt.ylim([-1.4, 1.4])\n", " plt.xlabel('$\\mathrm{Re}$')\n", " plt.ylabel('$\\mathrm{Im}$')\n", " plt.title('Roots of unity for $N=%d$'%N)\n", "\n", " for n in range(0, N):\n", " colorPlot = 'r' if gcd(n, N) == 1 else 'k'\n", " libfmp.c2.plot_vector(root_unity_power, color=colorPlot)\n", " plt.text(np.real(1.2*root_unity_power), np.imag(1.2*root_unity_power), \n", " r'$\\rho_{%s}^{%s}$' % (N, n), size='18', \n", " color=colorPlot, ha='center', va='center')\n", " root_unity_power *= root_unity\n", "\n", " circle_unit = plt.Circle((0, 0), 1, color='lightgray', fill=0) \n", " ax.add_artist(circle_unit)\n", "\n", "plot_root_unity(N=8) \n", "plot_root_unity(N=11)\n", "plot_root_unity(N=12)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Acknowledgment: This notebook was created by Meinard Müller and Frank Zalkow.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", "
\"C0\"\"C1\"\"C2\"\"C3\"\"C4\"\"C5\"\"C6\"\"C7\"\"C8\"
" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 1 }