

In [23]:

    
%matplotlib inline
import matplotlib.pyplot as plt

My First Square Roots

This is my first notebook where I'm going to implement the Babylonian square root algorithm in Python



In [1]:

    
2*2









    Out[1]:





4



In [2]:

    
9+3









    Out[2]:





12



In [3]:

    
15-7









    Out[3]:





8



In [4]:

    
34/9









    Out[4]:





3.7777777777777777



In [5]:

    
4**5









    Out[5]:





1024



In [6]:

    
variable = 6



In [7]:

    
variable









    Out[7]:





6



In [8]:

    
variable * 3









    Out[8]:





18



In [9]:

    
a = 1.5



In [10]:

    
1.5 ** 2









    Out[10]:





2.25



In [11]:

    
1.25 ** 2









    Out[11]:





1.5625



In [16]:

    
a= [1.5]

for i in range(10):
    next = a[i]+2
    a.append(next)



In [17]:

    
a









    Out[17]:





[1.5, 3.5, 5.5, 7.5, 9.5, 11.5, 13.5, 15.5, 17.5, 19.5, 21.5]



In [18]:

    
a[0]









    Out[18]:





1.5



In [19]:

    
a:[0:5]









    



  File "<ipython-input-19-48236528f928>", line 1
    a:[0:5]
        ^
SyntaxError: invalid syntax



In [24]:

    
a[0:5]









    Out[24]:





[1.5, 3.5, 5.5, 7.5, 9.5]



In [28]:

    
plt.plot(a, 'o')
plt.title("My First Sequence")









    Out[28]:





<matplotlib.text.Text at 0x10f32d400>



In [26]:

    
plt.plot?



In [35]:

    
b=[1.5]

for i in range (10):
    next = b[i]*2
    b.append(next)



In [38]:

    
plt.plot (b, '--o')
plt.plot (a, '--o')
plt.title("My Second Sequence")









    Out[38]:





<matplotlib.text.Text at 0x10f7ad4a8>



In [36]:

    
b









    Out[36]:





[1.5, 3.0, 6.0, 12.0, 24.0, 48.0, 96.0, 192.0, 384.0, 768.0, 1536.0]



In [ ]: