File:Air density vs temperature.svg
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Original file (SVG file, nominally 575 × 431 pixels, file size: 51 KB)
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This is a file from the Wikimedia Commons. The description on its description page there is shown below.
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Summary
| Description |
English: Air density vs. Temperature graph with exponential and 2nd-order polynomial trends. Data from w:en:Density#Air |
| Date | |
| Source | Own work |
| Author | T.seppelt |
| SVG development |  This plot was created with Matplotlib. |
| Source code | Python codeimport csv, numpy,scipy,scipy.optimize
import matplotlib.pyplot as plt
x = []
y = []
with open("data.csv", "r") as f:
for line in csv.DictReader(f, fieldnames=['x','y'], delimiter=';'):
x.append(int(line['x']))
y.append(float(line['y']))
x = numpy.array(x)
y = numpy.array(y)
intx = numpy.linspace(min(x), max(x), 100)
P1 = numpy.poly1d(numpy.polyfit(x, y, 2))
P2_data = scipy.optimize.curve_fit(lambda t,a,b: a*numpy.exp(b*t), x, y, )[0]
P2 = lambda x : P2_data[0]*numpy.exp(P2_data[1]*x)
plt.scatter(x,y, label="Density of air at 1 atm pressure")
plt.plot(intx, P1(intx), label = "Polynomial Trend\n$x \mapsto 10^{{-5}} x^2 {}x+{}$".format(*numpy.round(P1,4)[1:]))
plt.plot(intx, P2(intx), label = "Exponential Trend\n$x \mapsto \exp({}x) {} $".format(* numpy.round(P2_data,4)))
plt.legend()
plt.xlabel("Temperature [°C]")
plt.ylabel("Density [kg/m³]")
plt.title("Air density vs. temperature")
plt.savefig("output.svg",format="svg",transparent=True)
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Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- 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.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 03:09, 5 October 2017 | 575 × 431 (51 KB) | T.seppelt | exp as function without exponent |
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