Iteration is the process of performing some action on a collection of elements, one at a time. It is most commonly expressed using some form of loop syntax. Iterative processes can also be expressed using recursion. This is often a more elegant way to express an algorithm. However, it is typically more resource-intensive, and harder for first-time programmers to grasp. This article is to help you choose an appropriate programming construct, but listing different types of loop, and giving a brief description of each. For more detail, see individual articles on the different loops.
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| - Iteration is the process of performing some action on a collection of elements, one at a time. It is most commonly expressed using some form of loop syntax. Iterative processes can also be expressed using recursion. This is often a more elegant way to express an algorithm. However, it is typically more resource-intensive, and harder for first-time programmers to grasp. This article is to help you choose an appropriate programming construct, but listing different types of loop, and giving a brief description of each. For more detail, see individual articles on the different loops.
- Iteration is a fundamental concept in classical googology in which a function is composed with itself repeatedly. Given a function \(f : X \mapsto Y\) with \(X \supseteq Y\), we use \(f^n(x)\) to refer to the result when applying \(f\) to \(x\) \(n\) times. Formally, \(f^0(x) = x\) and \(f^{n + 1}(x) = f(f^{n}(x))\).
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| - Iteration is the process of performing some action on a collection of elements, one at a time. It is most commonly expressed using some form of loop syntax. Iterative processes can also be expressed using recursion. This is often a more elegant way to express an algorithm. However, it is typically more resource-intensive, and harder for first-time programmers to grasp. This article is to help you choose an appropriate programming construct, but listing different types of loop, and giving a brief description of each. For more detail, see individual articles on the different loops.
- Iteration is a fundamental concept in classical googology in which a function is composed with itself repeatedly. Given a function \(f : X \mapsto Y\) with \(X \supseteq Y\), we use \(f^n(x)\) to refer to the result when applying \(f\) to \(x\) \(n\) times. Formally, \(f^0(x) = x\) and \(f^{n + 1}(x) = f(f^{n}(x))\).
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