<SYSTEM_TASK:>
Given the following text description, write Python code to implement the functionality described below step by step
<END_TASK>
<USER_TASK:>
Description:
 Basic plot example
Step1:  $$c = \sqrt{a^2 + b^2}$$
$$
\begin{align}
c =& \sqrt{a^2 + b^2} \
=&\sqrt{4+16} \
\end{align}
$$
$$
\begin{align}
f(x)= & x^2 \
 = & {{x[1]}}
\end{align}
$$
This text contains a value like $x[1]$ is {{x[1]}}
Widget example
Step6:  Here we will set the fields to one of several values so that we can see pre-configured examples.
<ASSISTANT_TASK:>
Python Code:
from matplotlib.pyplot import figure, plot, xlabel, ylabel, title, show
x=linspace(0,5,10)
y=x**2
figure()
plot(x,y,'r')
xlabel('x')
ylabel('y')
title('title')
show()
Explanation: Basic plot example
End of explanation
from IPython.display import display
text = widgets.FloatText()
floatText = widgets.FloatText(description='MyField',min=-5,max=5)
floatSlider = widgets.FloatSlider(description='MyField',min=-5,max=5)
#https://ipywidgets.readthedocs.io/en/stable/examples/Widget%20Basics.html
float_link = widgets.jslink((floatText, 'value'), (floatSlider, 'value'))
Explanation: $$c = \sqrt{a^2 + b^2}$$
$$
\begin{align}
c =& \sqrt{a^2 + b^2} \
=&\sqrt{4+16} \
\end{align}
$$
$$
\begin{align}
f(x)= & x^2 \
 = & {{x[1]}}
\end{align}
$$
This text contains a value like $x[1]$ is {{x[1]}}
Widget example
End of explanation
floatSlider.value=1
bSatiationPreset=widgets.Button(
    description='Salt Satiation',
    button_style='', # 'success', 'info', 'warning', 'danger' or ''
    tooltip='Click me'
)
bDeprivationPreset=widgets.Button(
    description='Salt Deprivation2',
    button_style='', # 'success', 'info', 'warning', 'danger' or ''
    tooltip='Click me'
)
def bDeprivationPreset_on_click(b):
    floatSlider.value=0.5
    
    
def bSatiationPreset_on_click(b):
    floatSlider.value=0.71717
    
bDeprivationPreset.on_click(bDeprivationPreset_on_click)
bSatiationPreset.on_click(bSatiationPreset_on_click)
#floatSlider.observe(bDeprivationPreset_on_click,names='value')
myw=widgets.HTMLMath('$a+b=$'+str(floatSlider.value))
display(floatText,floatSlider)
display(bSatiationPreset)
display(bDeprivationPreset)
display(myw)
txtArea = widgets.Text()
display(txtArea)
myb= widgets.Button(description="234")
def add_text(b):
    txtArea.value = txtArea.value + txtArea.value
myb.on_click(add_text)
display(myb)
from IPython.display import display, Markdown, Latex
#display(Markdown('*some markdown* $\phi$'))
# If you particularly want to display maths, this is more direct:
display(Latex('\phi=' + str(round(floatText.value,2))))
display(Latex('$\begin{align}\phi=&' + str(round(floatText.value,2)) + " \\ =& \alpha\end{align}$"))
display(Markdown('$$'))
display(Markdown('\\begin{align}'))
display(        '\phi=' + str(round(floatText.value,2)))
display(Markdown('\\end{align}'))
display(Markdown('$$'))
from IPython.display import Markdown
one = 1
two = 2
myanswer = one + two**2
Markdown("# Title")
Markdown(
# Math
## Addition
Here is a simple addition example: ${one} + {two}^2 = {myanswer}$
Here is a multi-line equation
$$
\\begin{{align}}
\\begin{{split}}
c = & a + b \\\\
 = & {one} + {two}^2 \\\\
 = & {myanswer}
 \end{{split}}
\end{{align}}
$$
.format(one=one, two=two, myanswer=myanswer))
a = widgets.IntSlider(description='a')
b = widgets.IntSlider(description='b')
c = widgets.IntSlider(description='c')
def g(a, b, c):
    print('${}*{}*{}={}$'.format(a, b, c, a*b*c))
def h(a, b, c):
    print(Markdown('${}\\times{}\\times{}={}$'.format(a, b, c, a*b*c)))
    
def f(a, b, c):
    print('{}*{}*{}={}'.format(a, b, c, a*b*c))
def f2(a, b, c):
    widgets.HTMLMath(value=Markdown('${}\\times{}\\times{}={}$'.format(a, b, c, a*b*c))._repr_markdown_())
def f3(a, b, c):
    print(Markdown('${}\\times{}\\times{}={}$'.format(a, b, c, a*b*c))._repr_markdown_())
def f4(a, b, c):
    return Markdown('${}\\times{}\\times{}={}$'.format(a, b, c, a*b*c))._repr_markdown_()
def f5(a, b, c):
    print('${}\\times{}\\times{}={}$'.format(a, b, c, a*b*c))
def f6(a, b, c):
    display(widgets.HTMLMath(value='${}\\times{}\\times{}={}$'.format(a, b, c, a*b*c)))
    
def f7(a, b, c):
    display(Markdown('${}\\times{}\\times{}={}$'.format(a, b, c, a*b*c)))
out = widgets.interactive_output(f7, {'a': a, 'b': b, 'c': c})
widgets.HBox([widgets.VBox([a, b, c]), out])
#widgets.HBox([widgets.VBox([a, b, c]), widgets.HTMLMath('$x=y+z$')])
Markdown('$${}\\times{}\\times{}={}$$'.format(a.value, b.value, c.value, a.value*b.value*c.value))
myMarkDown
%matplotlib inline
from ipywidgets import interactive
import matplotlib.pyplot as plt
import numpy as np
def f(m, b):
    plt.figure(2)
    x = np.linspace(-10, 10, num=1000)
    plt.plot(x, m * x + b)
    plt.ylim(-5, 5)
    plt.show()
interactive_plot = interactive(f, m=(-2.0, 2.0), b=(-3, 3, 0.5))
output = interactive_plot.children[-1]
output.layout.height = '350px'
interactive_plot
def g(x,y):
    return Markdown(
$$
{x}\\times {y}={z}
$$
.format(x=3,y=4,z=4*5))
print(g(6,7))
x=3
y=4
Markdown(
$$
\\begin{{align}}
\\begin{{split}}
z & =x \\times y \\\\
 & = {x} \\times {y} \\\\
 & = {z}
\end{{split}}
\end{{align}}
$$
.format(x=x,y=y,z=x*y))
Latex(
$$
\\begin{{align}}
\\begin{{split}}
z & =x \\times y \\\\
 & = {x} \\times {y} \\\\
 & = {z}
\end{{split}}
\end{{align}}
$$
.format(x=x,y=y,z=x*y))
Explanation: Here we will set the fields to one of several values so that we can see pre-configured examples.
End of explanation
<END_TASK>