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Euler's identity

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University of Basel

Abstract

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Keywords:mystmarkdownopen-science

Intro

Many phenomena are described by Euler’s identity (1).
It’s used in the wave equation[1].
More in Figure 1, Program 1 and Table 1.
Also see Wikipedia.
And a paper here Bourne et al. (2012).

Example

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eix=cos(x)+isin(x)e^{ix}=\cos(x)+i\sin(x)
A drop of water.

Figure 1:A water wave

import numpy as np

c = a + b*1j
print(np.real(c))
print(np.imag(c))

Program 1:Calculation with numpy.

Table 1:Translate from radian to degree

RadDeg
3.14180
6.28360
Footnotes
  1. Very useful!

References
  1. Bourne, P. E., Clark, T. W., Dale, R., de Waard, A., Herman, I., Hovy, E. H., & Shotton, D. (2012). Improving The Future of Research Communications and e-Scholarship (Dagstuhl Perspectives Workshop 11331). 10.4230/DAGMAN.1.1.41