Question

Assuming x and y each are a list of integers, answer the following questions. Use a as a running variable. If necessary use b as an additional running variable. Do not use any other variables as you do not need.

a. Write a Python statement using lambda calculus map to map x to y where every element of y is incremented by 1.

b. Write a Python statement using lambda calculus reduce to reduce x to s, where s is the sum of x. Do not use sum function.

c. Write a Python statement using lambda calculus filter to filter out odd integers from x such that y has only even integers.

Answer 1

SOURCE CODE:

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from functools import reduce

# (a) Write a Python statement using lambda calculus map
#     to map x to y where every element of y is incremented by 1.

y = [10, 20, 30, 40, 50]
# Now, use a map function and lambda to increment each value of y by 1
x = map(lambda a: a + 1, y)
# Print the result
print("Result of map is", list(x))

#  (b) Write a Python statement using lambda calculus reduce
#      to reduce x to s, where s is the sum of x.
x = [1, 2, 3, 4, 5]
# Use reduce and lambda here
s = reduce(lambda a, b: a + b, x)
# Print the result
print("Sum of values in", x, "is", s)

# (c) Write a Python statement using lambda calculus filter
#     to filter out odd integers from x such that y has only even integers.
x = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
# Use filter and lambda here
y = filter(lambda a: a % 2 == 0, x)
# Print the result
print("Result of filter is", list(y))

from functools import reduce 1 2 3 7# (a) Write a Python statement using lambda calculus map # to map x to y where every element of y is incremented by 1. 4 5 6 7 8 y = [10, 20, 30, 40, 50] # Now, use a map function and lambda to increment each value of y by 1 x = map(lambda a: a + 1, y) # Print the result print("Result of map is", list(x)) 10 11 12 13 14 15 F# (b) Write a Python statement using lambda calculus reduce A# to reduce x to s, where s is the sum of x. x = [1, 2, 3, 4, 5] # Use reduce and lambda here s = reduce(Lambda a, b: a + b, x) # Print the result print("Sum of values in", x, "is", s) 16 17 18 19 20 21 # 22 23 F# (c) Write a Python statement using lambda calculus filter to filter out odd integers from x such that y has only even integers. x = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] # Use filter and lambda here у filter(lambda a: a % 2 == 0, # Print the result print("Result of filter is", list(y)) 24 x) 25 26 Run: lambdaaa Result of map is [11, 21, 31, 41, 51] Sum of values in [1, 2, 3, 4, 5] is 15 Result of filter is [2, 4, 6, 8, 10] If Process finished with exit code 0

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