File:Graph of a generating function u with its measure U.png
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Size of this preview: 800 × 406 pixels. Other resolutions: 320 × 162 pixels | 640 × 325 pixels | 1,024 × 520 pixels | 1,596 × 810 pixels.
Original file (1,596 × 810 pixels, file size: 24 KB, MIME type: image/png)
Summary
| Description |
English: Graph of the generating function u as a step function with it examples of its measure U shown as areas under the curve |
| Date | |
| Source | Own work |
| Author | Dom walden |
| PNG development |  This plot was created with Matplotlib. |
| Source code | Python codeimport matplotlib.pyplot as plt
import numpy as np
fig, ax = plt.subplots()
ax.stairs([1, 2, 3, 4, 5], linewidth=2.5)
ax.stairs([1, 2], edges=[0, 1, 1.5], fill=True, label='U(1.5)')
ax.stairs([3], edges=[2.4, 2.6], fill=True, label='U{[2.4, 2.6]}')
ax.set_yticklabels(['$\mathregular{a_0}$', '$\mathregular{a_1}$', '$\mathregular{a_2}$', '$\mathregular{a_3}$', '$\mathregular{a_4}$'])
ax.set(xlim=(0, 5), xticks=np.arange(1, 5),
ylim=(0, 6), yticks=np.arange(1, 6))
ax.legend()
ax.set_title("Graph of u(x), showing U(1.5) and U{[2.4, 2.6]} as areas under the curve")
plt.show()
|
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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- to share – to copy, distribute and transmit the work
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- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:06, 16 February 2025 | | 1,596 × 810 (24 KB) | wikimediacommons>Dom walden | Uploaded own work with UploadWizard |
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