The test for monotonic sequence is a utility that has manifold applications in mathematics and hence every sphere related to mathematics. As mathematics and Computer Science generally go parallel, mathematical operations such as checking for strictly decreasing sequence can be useful to gather knowledge of. Lets discuss certain ways to perform this test.
Method #1 : Using all() + zip()
The all() generally checks for all the elements fed to it. The task of zip() is to link list beginning from beginning and list beginning from first element, so that a check can be performed on all elements.
# Python 3 code to demonstrate # Test for strictly decreasing list # using zip() + all() # initializing list test_list = [10, 8, 7, 5, 4, 1] # printing original lists print ("Original list : " + str(test_list)) # using zip() + all() # Test for strictly decreasing list res = all(i > j for i, j in zip(test_list, test_list[1:])) # printing result print ("Is list strictly decreasing ? : " + str(res)) |
Original list : [10, 8, 7, 5, 4, 1] Is list strictly decreasing ? : True
Method #2 : Using reduce() + lambda
reduce() coupled with lambda can also perform this task of checking for monotonicity. reduce function is used to cumulate the result as True or False, lambda function checks for each index value with next index value.
# Python 3 code to demonstrate # Test for strictly decreasing list # using reduce() + lambda # initializing list test_list = [10, 8, 7, 5, 4, 1] # printing original lists print ("Original list : " + str(test_list)) # using reduce() + lambda # Test for strictly decreasing list res = bool(lambda test_list: reduce(lambda i, j: j if i > j else 9999, test_list) != 9999) # printing result print ("Is list strictly decreasing ? : " + str(res)) |
Original list : [10, 8, 7, 5, 4, 1] Is list strictly decreasing ? : True
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