latex_bessel#
Bessel functions of the first kind. This example demonstrates the use of
mathtext on titles, Label
annotations and axis labels.
Details
- Bokeh APIs:
- More info:
- Keywords:
mathtext, latex
import numpy as np
from scipy.special import jv
from bokeh.models import Label
from bokeh.palettes import YlOrRd4
from bokeh.plotting import curdoc, figure, show
p = figure(
width=700, height=500,
title=(
r"Bessel functions of the first kind: $$J_\alpha(x) = \sum_{m=0}^{\infty}"
r"\frac{(-1)^m}{m!\:\Gamma(m+\alpha+1)} \left(\frac{x}{2}\right)^{2m+\alpha}$$"
),
)
p.x_range.range_padding = 0
p.xaxis.axis_label = "$$x$$"
p.xaxis.axis_label_text_color = "white"
p.yaxis.axis_label = r"$$J_\alpha(x)$$"
p.yaxis.axis_label_text_color = "white"
p.title.text_font_size = "14px"
p.title.text_color = "white"
x = np.linspace(0.0, 14.0, 100)
for i, (xlabel, ylabel) in enumerate(zip([0.5, 1.6, 2.8, 4.2], [0.95, 0.6, 0.5, 0.45])):
p.line(x, jv(i, x), line_width=3, color=YlOrRd4[i])
p.add_layout(Label(text=f"$$J_{i}(x)$$", x=xlabel, y=ylabel, text_color="white"))
curdoc().theme = 'night_sky'
show(p)