01-hello.md

title	subject	subtitle	short_title	authors	license	keywords	exports
Euler's identity	Math	Lorem ipsum dolor sit.	Euler	name affiliations email John Doe University of Basel name@surname.com	CC-BY-4.0	myst, markdown, open-science	format template pdf arxiv_two_column

+++ {"part": "abstract"}

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Massa tincidunt dui ut ornare lectus sit amet est placerat. +++

Intro

Many phenomena are described by Euler's identity .
It's used in the wave equation¹.
More in , and .
Also see Wikipedia.
And a paper here .

Example

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.

$$e^{ix}=\cos(x)+i\sin(x) $$ (my-eq)

:::{figure} wave.jpg :name: my-fig :width: 300px :alt: A drop of water.

A water wave :::

:name: my-program
:caption: Calculation with numpy.
import numpy as np

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

:::{list-table} Translate from radian to degree :header-rows: 1 :name: example-table

• • Rad
  • Deg
• • 3.14
  • 180
• • 6.28
  • 360 :::

:::{note} :class: dropdown Lorem ipsum dolor sit amet :::

Footnotes

1. Very useful! ↩