File:Dependence of delta with epsilon in case of the continuous square function.svg
Original file (SVG file, nominally 1,525 × 404 pixels, file size: 43 KB)
Captions
Summary
[edit]DescriptionDependence of delta with epsilon in case of the continuous square function.svg |
English: Illustration of the dependence of epsilon and delta for the epsilon-delta-criterion of continuity. The function is shown. is continuous at . |
Date | |
Source | Own work |
Author | Stephan Kulla (User:Stephan Kulla) |
SVG development InfoField | This plot was created with Matplotlib. |
Source code InfoField | Python codeimport matplotlib.pyplot as plt
import numpy as np
from matplotlib.patches import Rectangle
from itertools import chain
ax, fig = plt.subplots(1,4)
xs = np.linspace(0.0, 1.5, 1e4)
ys = xs*xs
ax.set_figwidth(20)
ax.set_figheight(4)
epsilons = [0.8, 0.6, 0.4, 0.2]
for f, eps in zip(fig, epsilons):
delta = eps/3
f.plot(xs, ys)
f.set_ylim((0,2))
f.set_xlim((0,2))
f.add_patch(Rectangle((1-delta,1-eps), 2*delta, 2*eps,
edgecolor="black", facecolor="#dddddd",
alpha=0.6, linestyle="solid", lw=1.5))
xs_delta = xs[(xs > 1-delta) & (xs < 1+delta)]
f.plot(xs_delta, xs_delta*xs_delta, color="green", lw=3)
f.plot([1], [1], "o", color="black")
ax.savefig("Dependence of delta with epsilon in case of the continuous square function.svg", bbox_inches='tight', pad_inches=0.5)
|
Licensing
[edit]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.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 22:02, 9 March 2017 | 1,525 × 404 (43 KB) | Stephan Kulla (talk | contribs) | + padding | |
18:28, 9 March 2017 | 1,454 × 333 (43 KB) | Stephan Kulla (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Width | 1220pt |
---|---|
Height | 323pt |