Recursion: meaning, definitions and examples

Recursion is typically used in the context of computer science and mathematics to describe a function that calls itself within its definition. It's common in algorithms that need to solve a problem by breaking it into smaller, more manageable sub-problems.

• The Fibonacci sequence can be calculated using recursion.
• Recursion is a powerful concept but can be challenging to debug.

Iteration is commonly used in computing and everyday language to describe the process of repeating a set of instructions or actions usually with the help of loops. It's ideal when you need to perform the same task multiple times in a predictable sequence.

• The algorithm improves its accuracy on each iteration.
• Iteration can be simpler to understand especially when dealing with loops.

Repetition is a broader term that can apply to any context where something is done again and again, not just in computing. It can describe repeated actions, events, or patterns.

• The teacher noticed a lot of repetition in the students' mistakes.
• Repetition is key to mastering new skills.

Looping is frequently used in programming to describe the act of running a block of code multiple times. It most often refers to constructs such as 'for' loops and 'while' loops in various programming languages.

• Looping through an array of numbers is a common task in programming.
• He wrote a loop to process each item in the list.

Used in computing and mathematics when a function calls itself to solve a problem. Best suited for problems that can be divided into similar sub-problems.

• The algorithm uses recursion to find the greatest common divisor.
• Recursion is a key concept in computer science.

Used to describe situations where something refers to itself. Often seen in literature, mathematics, and logic.

• The book included a lot of self-reference.
• Self-reference is a common theme in postmodern literature.

Used in programming and mathematics to describe the repetition of a process within a loop until a specific condition is met. Suitable for tasks where the same operation needs to be repeated.

• The loop uses iteration to sum up the numbers.
• Iteration is fundamental in algorithm design.

Used generally to describe any kind of repeating action or sequence. Can refer to both physical actions and abstract processes.

• Repetition helps to memorize new information.
• The song's chorus used a lot of repetition.

Used in the context of computing and mathematics where a function calls itself. It can also be applied in discussions about processes that repeat by referring back to the initial conditions.

• In computer science, recursion is a method where the solution to a problem depends on solutions to smaller instances of the same problem.
• The concept of recursion can be seen in nature, such as the branching of trees or the spirals of a nautilus shell.

Used in a broad range of contexts, from daily activities to educational practices, to indicate the act of doing or saying something again. This term is the most general of the group and can carry a neutral to slightly negative connotation if overused.

• Repetition is key when learning a new language.
• The constant repetition of drills helped the team improve.

Often used in communication and rhetoric to emphasize a point by repeating it multiple times. This word underscores the act of repetition to ensure understanding or to stress importance.

• To make sure everyone understood the safety protocols, the manager engaged in reiteration of the key points.
• Her reiteration of the deadline helped everyone remember it.

Commonly used in computing and everyday language to describe a process that repeats a series of steps until a certain condition is met. It’s very practical and grounded in real-world problem-solving.

• Engineers use iteration to improve designs based on feedback and testing.
• The program runs multiple iterations to sort the data efficiently.