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Python · Theory

Higher-order functions

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Theory

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Higher-order functions

Higher-order functions is about functions that take/return functions, or itertools helpers (chain, cycle, combinations). map/filter/lambda are the fresher versions.

Keep it concrete — map(str.upper, ["a","b"]) → A B. itertools.chain([1],[2,3]) → 1 2 3.

Higher-order functions — output — 7. twice takes a function — that is higher-order.

Diagram
def square(n):
      return n * n
         │ square(5)
         ▼
        25
Exam tip

One tiny map/filter or itertools line + output.

Example

# Higher-order functions
def twice(fn, x):
    return fn(fn(x))
print(twice(lambda n: n + 1, 5))

Higher-order functions — output: 7. twice takes a function — that is higher-order.

Short notes

  • DefHigher-order functions works with functions or iterators.
  • Usemap/filter or itertools.
  • TrapOverusing lambda when def is clearer.

Questions

1

Explain Higher-order functions as if you are teaching a junior — definition, then one tiny script.

2

What does the example print, and why?

3

What mistake do freshers make with Higher-order functions?

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