CoCalc -- Jupyter_Example.ipynb

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Kernel: SageMath 8.6

In [1]:

5*4

Out[1]:

20

In [2]:

sin(pi/6)

Out[2]:

1/2

In [3]:

f(x) = sin(x)/x^2

In [4]:

f(pi)

Out[4]:

0

In [5]:

f(1)

Out[5]:

sin(1)

In [6]:

plot(f, 1, 10)

Out[6]:

In [7]:

f(x) = 4*x*(1-x)

In [8]:

plot(f, 0, 1, aspect_ratio=1)

Out[8]:

In [9]:

identity(x) = x
plot(identity, 0, 1, aspect_ratio=1, color="red")

Out[9]:

In [10]:

plt = plot(f, 0, 1, aspect_ratio=1) + \
        plot(identity, 0, 1, aspect_ratio=1, color="red")
plt

Out[10]:

In [11]:

x = 1/3
y = f(x)
path = [(x,x), (x, y)]
plt + line2d(path, color="green")

Out[11]:

In [12]:

for i in range(10):
    print(i)

Out[12]:

In [13]:

x = 1/3
y = f(x)
path = [(x,x), (x, y)]
for i in range(10):
    x = y
    y = f(x)
    path.append( (x,x) )
    path.append( (x,y) )
plt + line2d(path, color="green")

Out[13]:

In [14]:

f(8/9)

Out[14]:

32/81

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