CoCalc -- Jupyter_Example.ipynb

Project: Dynamics 2019

Views: ⁸⁴

Visibility: Unlisted (only visible to those who know the link)

Kernel: SageMath 8.6

In [1]:

5*4

20

In [2]:

sin(pi/6)

1/2

In [3]:

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

In [4]:

f(pi)

0

In [5]:

f(1)

sin(1)

In [6]:

plot(f, 1, 10)

In [7]:

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

In [8]:

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

In [9]:

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

In [10]:

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

In [11]:

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

In [12]:

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

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")

In [14]:

f(8/9)

32/81