Bisection: meaning, definitions and examples
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bisection
[ baɪˈsɛkʃən ]
mathematics method
Bisection refers to a mathematical method for finding the roots of a function. It involves dividing an interval in half and selecting the subinterval that contains the root. This process is repeated until the interval is sufficiently small. Bisection is a reliable method, especially when the function is continuous and monotonic. It converges linearly and is easy to implement.
Synonyms
Examples of usage
- The bisection method is used to solve equations.
- We applied bisection to find the root of f(x) = 0.
- The algorithm relies on bisection to improve accuracy.
Translations
Translations of the word "bisection" in other languages:
🇵🇹 bissecção
🇮🇳 बाइसेक्शन
🇩🇪 Bisection
- Teilung
- Halbierung
🇮🇩 biseksi
🇺🇦 бісекція
🇵🇱 bisection
🇯🇵 二分法
🇫🇷 bissectrice
🇪🇸 bisección
🇹🇷 biseksiyon
🇰🇷 이분법
🇸🇦 التقسيم الثنائي
🇨🇿 bisection
🇸🇰 bisection
🇨🇳 二分法
🇸🇮 bisection
🇮🇸 bisection
🇰🇿 бисекция
🇬🇪 ბისექცია
🇦🇿 bisection
🇲🇽 bisección
Etymology
The term 'bisection' originates from the Latin word 'bis', meaning 'twice', and 'sectio', meaning 'to cut'. The concept of bisection has been used in mathematics since ancient times, particularly in the context of geometry, where dividing sections in half was a common practice. With the advent of modern computational methods, bisection became formalized as a numerical technique for solving equations in the 17th century. Over the years, it was further developed and refined, becoming a staple in numerical analysis and applied mathematics. The method is now widely taught in educational settings, serving as an introductory procedure for understanding root-finding algorithms.