Higher Order Functions
Digit Manipulation
Treating Numbers as Strings of Digits
- While it's impractical, it's beneficial to practice iteration using this method.
Retrieving Digits
- Utilize floor division and mod (by 10) to isolate individual digits.
Understanding Functions
Domain
- Refers to all possible inputs a function can accept.
Range
- Refers to all possible outputs a function can produce.
Behavior
- Describes the relationship between the function's inputs and outputs.
Design
- Ensure that a function is assigned one specific task but has the flexibility to be applied in numerous related scenarios.
- Emphasize the "write once, use many times" philosophy.
Generalization
- By designing functions to handle a broad range of scenarios, we can generalize our solutions, promoting code reusability.
Higher Order Functions
First-Class Nature of Functions
- In Python, functions are considered first-class, meaning they can be passed around like any other object (like a string, int, etc.)
Characteristics of Higher Order Functions
- A function qualifies as "higher order" if it:
- Accepts another function as an argument.
- Returns a function as its result.
Lambda Functions
Introduction
- A lambda function is a succinct way to define a function, usually fitting within a single line.
- It's useful for quick, one-off operations where a full function definition might be overkill.
Format
Anonymity of Lambda
- Lambda expressions are anonymous, meaning they do not inherently have a name bound to them. They are often used for short-term operations where naming is not required.