First steps

Download notebookView on GitHubOpen in ColabLaunch BinderRun when the site was built.

A notebook that exercises what the converter handles: math, printed output, an image, an HTML table and the cell tags.

The grid spacing is $h = (b - a)/n$, and the midpoint rule reads

$$\int_a^b f(x)\,dx \approx h \sum_{i=1}^{n} f(x_{i-1/2}).$$

Braces {like these} and a stray < are escaped for MDX.

import numpy as np
from example_pkg import Grid, linspace_midpoints

grid = Grid(0.0, np.pi, 8)
print(grid.spacing)
print(grid.spacing * np.sin(linspace_midpoints(0.0, np.pi, 8)).sum())

0.39269908169872414
2.012909085599128

print(grid)
print(grid.nodes())

Show the grid

Grid(start=0.0, stop=3.141592653589793, cells=8)
[0.         0.39269908 0.78539816 1.17809725 1.57079633 1.96349541
 2.35619449 2.74889357 3.14159265]

Show code

import matplotlib.pyplot as plt

x = grid.nodes()
fig, ax = plt.subplots(figsize=(5, 2.5))
ax.plot(x, np.sin(x), "o-")
ax.set_xlabel("x")
plt.show()

from IPython.display import HTML

HTML(
    "<table><tr><th>cells</th><th>spacing</th></tr>"
    + "".join(f"<tr><td>{n}</td><td>{np.pi / n:.4f}</td></tr>" for n in (4, 8, 16))
    + "</table>"
)

cells	spacing
4	0.7854
8	0.3927
16	0.1963

raise ValueError(
    "shown on the page, and not a failure: the cell is tagged raises-exception"
)

---------------------------------------------------------------------------
ValueError                                Traceback (most recent call last)
Cell In[5], line 1
----> 1 raise ValueError(
      2     "shown on the page, and not a failure: the cell is tagged raises-exception"
      3 )

ValueError: shown on the page, and not a failure: the cell is tagged raises-exception