Python Functions

The following tutorial is an introduction to built-in Python functions such as average, standard deviation, maximum, minimum, and conditional counting.

Python Source Code

import random
y = [random.random()*100.0 for i in range(10)]
print("Print y")
print(y)

print("Sorted List")
for i in range(len(y)):
    print("%.2f" % y[i])

def avg(x):
    return sum(x) / len(x)

print("Avg: " + str(avg(y)))
print("Max: " + str(max(y)))
print("Min: " + str(min(y)))
z = sum(1 if i<50.0 else 0 for i in y)
print("Number Below 50: " + str(z))

# another method with NumPy
import numpy as np
print(np.mean(y))
print(np.average(y))
print(np.std(y))
print(np.median(y))
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Data statistics can also be completed with a spreadsheet program like Microsoft Excel and MATLAB where the data sets are arrays or matrices instead of tables in a spreadsheet. Click on the appropriate link for additional information and source code.

Non-Ideal Gas Function Example

Source Code

def P_RK_IG(V, T, do_ideal_gas=False):
   R = 0.0821  # L-atm/K
   Pc = 37.2   # atm
   Tc = 132.5  # K

   a = 0.427 * pow(R,2) * pow(Tc,2.5) / Pc
   b = 0.0866 * R * Tc / Pc

   # Compute in atm
   P_ig = R * T / V
   P_rk = R * T / (V-b) - a/(V*(V+b)*pow(T,0.5))

   # Convert to Pascals
   if do_ideal_gas:
      return P_ig * 101325
   else:
      return P_rk * 101325

for T in range(490,511,10):
   V = 4.0
   while V < 8:
      print("----- Temperature: " + str(T) + " K")
      print("P_ig: " + str(P_RK_IG(V,T,True)) + " Pa")
      print("P_rk: " + str(P_RK_IG(V,T)) + " Pa")
      V = V + 2.0
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