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    English: Addition of the function sin: and exp: to the function sin+exp: with (sin+exp)(x)=sin(x)+exp(x).
    Date
    Source Own work
    Author Stephan Kulla (User:Stephan Kulla)
    SVG development
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     This plot was created with Matplotlib.
    Source code
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    Python code

    import matplotlib.pyplot as plt
    import numpy as np
    
    xs = np.linspace(-1, 1, 100)
    ys1 = np.exp(xs)
    ys2 = np.sin(xs)
    ys3 = ys1 + ys2
    fs = 13
    x = 0.5
    
    blue="#007ec1"
    orange="#d77a5a"
    green="#6e8334"
    
    plt.plot(xs, ys3, color=blue, label="$\\sin+\\exp$", linewidth=2)
    
    plt.arrow(x+2.5e-2, 0, 0, np.sin(x)-0.15, color=green, head_width=0.03, head_length=0.1)
    plt.arrow(x, 0, 0, np.exp(x)-0.15, color=orange, head_width=0.03, head_length=0.1)
    plt.arrow(x, np.exp(x), 0, np.sin(x)-0.15, color=green, head_width=0.03, head_length=0.1)
    
    plt.plot(xs, ys2, color=green, label="$\\sin$")
    plt.plot(xs, ys1, color=orange, label="$\\exp$")
    
    plt.plot([x], [np.sin(x)+np.exp(x)], color=blue, marker="o")
    plt.plot([x], [np.sin(x)], color=green, marker="o")
    plt.plot([x], [np.exp(x)], color=orange, marker="o")
    
    plt.text(x=0.18, y=np.sin(0.5)+0.1, s="$\\sin(0.5)$", color=green, fontsize=fs)
    plt.text(x=0.55, y=np.exp(0.5)-0.1, s="$\\exp(0.5)$", color=orange, fontsize=fs)
    plt.text(x=-0.3, y=np.sin(0.5)+np.exp(0.5)-0.05, s="$(\\sin+\\exp)(0.5)$", color=blue, fontsize=fs+3)
    
    plt.legend()
    plt.axhline(color="black")
    
    plt.savefig("Example for addition of functions.svg", transparent=True, bbox_inches="tight", pad_inches=0.05)
    

    Licensing

    I, the copyright holder of this work, hereby publish it under the following license:
    Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
    The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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    21 February 2019

    34,215 byte

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    46aac09813b864a265239fecf864eb892f5897e1

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    Date/TimeThumbnailDimensionsUserComment
    current23:25, 21 February 2019Thumbnail for version as of 23:25, 21 February 2019487 × 367 (33 KB)Stephan KullaUser created page with UploadWizard

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