def f(x):
    return (x-3)*(x-5)*(x-7)+85

import numpy as np
x = np.linspace(0, 10, 200)
y = f(x)
plot(x,y)

from IPython.display import HTML
HTML("<iframe src=http://co-op.nashvl.org width=700 height=350></iframe>")

from IPython.display import YouTubeVideo
YouTubeVideo("BS4Wd5rwNwE")

from sympy import *
%load_ext sympyprinting
x, y = symbols("x y")

eq = ((x+y)**2 * (x+1))
eq

expand(eq)

(1/cos(x)).series(x, 0, 6)

%lsmagic

%timeit np.linalg.eigvals(np.random.rand(100,100))

%%timeit a = np.random.rand(100, 100)
np.linalg.eigvals(a)

%%ruby
puts "Hello from Ruby #{RUBY_VERSION}"

%%bash
echo "hello from $BASH"

%load_ext rmagic

x,y = arange(10), random.normal(size=10)

%%R -i x,y -o XYcoef
lm.fit <- lm(y~x)
par(mfrow=c(2,2))
print(summary(lm.fit))
plot(lm.fit)
XYcoef <- coef(lm.fit)

XYcoef

from IPython.parallel import Client
client = Client()
dv = client.direct_view()

len(dv)

def where_am_i():
    import os
    import socket
    
    return "In process with pid {0} on host: '{1}'".format(
        os.getpid(), socket.gethostname())

where_am_i_direct_results = dv.apply(where_am_i)
where_am_i_direct_results.get()