Lab1_template.sagews

# Lab 1: Plotting legs of PPTs (template)
reset

<function reset at 0x7f539f74f050>

#Part 1: making list of lists [m,n] from fractions without duplicates
#Input: N, the number of diagonals in the table given in the lab description
#Output:list of fractions m/n on the N diagonals without duplicates.
def mn_list(N):
    S=[]# This list will store fractions m/n from the table
    L=[] # This list wil store lists [m,n]
    for n in range(2,N+2):
        temp=[QQ(m)/QQ(n) for m in range(1,n)]# List comprehension constructor is used here
        S.extend(temp)# Learn about command extend and use it here
    S=list(set(S))# This command excludes duplication
    for c in S:
        mn=[numerator(c),denominator(c)]# Make a list [m,n] from the fraction m/n
        L.append(temp)
    return L

def mn_pairs(N):
    L=[];
    for n in range(2,N+2):
        temp=[[m,n] for m in range (1,n)]
        L.extend(temp)
    return L

L=mn_pairs(8);L

[[1, 2], [1, 3], [2, 3], [1, 4], [2, 4], [3, 4], [1, 5], [2, 5], [3, 5], [4, 5], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6], [1, 7], [2, 7], [3, 7], [4, 7], [5, 7], [6, 7], [1, 8], [2, 8], [3, 8], [4, 8], [5, 8], [6, 8], [7, 8], [1, 9], [2, 9], [3, 9], [4, 9], [5, 9], [6, 9], [7, 9], [8, 9]]

#Part 2: PPT list
#Input: List L of lists [m,n]
#Output: List of ppt_legs of legs [a,b] of PPTs constructed from [m,n] in L according to version 2 of the characterization theorem for PPTs

[]

Traceback (most recent call last): File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_parsing.py", line 533, in introspect obj if not preparse else preparse_code(obj), namespace) File "<string>", line 1, in <module> NameError: name 'my_ppt_list' is not defined

#Part 3: Plotting legs of PPTs using data in ppt_legs list
#Learn about the syntax of command list_plot and use the command for this task
import matplotlib.pyplot as plt
from matplotlib.pyplot import figure

Error in lines 1-1 Traceback (most recent call last): File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1188, in execute flags=compile_flags), namespace, locals) File "", line 1, in <module> File "", line 3, in ppt_legs TypeError: 'list' object is not callable

def plot_ppt(ppt_legs):
    x=[c[0] for c in ppt_legs]
    y=[c[1] for c in ppt_legs]
    figure(num=None, figsize=(5, 3))
    figure=plt.plot(x, y,'ro',xblue,yblue,'bo',markersize=4)
    plt.show(figure)

#Advanced nice snippet of code for plotting (just FYI)
import numpy as np
import matplotlib.pyplot as plt

#evenly sampled time at 200ms intervals
t = np.arange(0., 5., 0.2)

# red dashes, blue squares and green triangles
plt.plot(t, t, 'r--', t, t**2, 'bs', t, t**3, 'g^')
plt.show()

# Lab 1: Plotting legs of PPTs (template)
reset

<function reset at 0x7f539f74f050>

#Part 1: making list of lists [m,n] from fractions without duplicates
#Input: N, the number of diagonals in the table given in the lab description
#Output:list of fractions m/n on the N diagonals without duplicates.
def mn_list(N):
    S=[]# This list will store fractions m/n from the table
    L=[] # This list wil store lists [m,n]
    for n in range(2,N):
        temp=[QQ(m)/QQ(n) for m in range(1,n)]# List comprehension constructor is used here
        S.extend(temp)# Learn about command extend and use it here
    S=list(set(S))# This command excludes duplication
    for c in S:
        mn=[numerator(c),denominator(c)]# Make a list [m,n] from the fraction m/n
        L.append(temp)
    return L

testplot=mn_list(10);testplot

[[1, 2], [1, 3], [2, 3], [1, 4], [3, 4], [1, 5], [2, 5], [3, 5], [4, 5], [1, 6], [5, 6], [1, 7], [2, 7], [3, 7], [4, 7], [5, 7], [6, 7], [3, 8], [5, 8], [1, 9], [7, 8], [4, 9], [5, 9], [7, 9], [8, 9], [1, 8], [2, 9]]

#Part 2: PPT list
#Input: List L of lists [m,n]
#Output: List of ppt_legs of legs [a,b] of PPTs constructed from [m,n] in L according to version 2 of the characterization theorem for PPTs
...

#Part 3: Plotting legs of PPTs using data in ppt_legs list
#Learn about the syntax of command list_plot and use the command for this task
import matplotlib.pyplot as plt
from matplotlib.pyplot import figure

def plot_ppt(ppt_legs):
    x=[c[0] for c in ppt_legs]
    y=[c[1] for c in ppt_legs]
    figure(num=None, figsize=(5, 3))
    figure=plt.plot(x, y,'ro',xblue,yblue,'bo',markersize=4)
    plt.show(figure)

#Advanced nice snippet of code for plotting (just FYI)
import numpy as np
import matplotlib.pyplot as plt

#evenly sampled time at 200ms intervals
t = np.arange(0., 5., 0.2)

# red dashes, blue squares and green triangles
plt.plot(t, t, 'r--', t, t**2, 'bs', t, t**3, 'g^')
plt.show()