Manifolded: meaning, definitions and examples
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manifolded
[ ˈmænɪfoʊldɪd ]
mathematics, engineering
The term 'manifolded' refers to a concept primarily used in mathematics and engineering, describing structures or functions that can be represented as manifolds. Manifolds are spaces that locally resemble Euclidean space, meaning they can be analyzed with calculus. In engineering, manifolded systems often refer to devices that collect or distribute fluids or gases. Understanding manifolded structures is essential for complex problem-solving in various scientific disciplines.
Synonyms
Examples of usage
- The manifolded flow system increased efficiency.
- In our study, we analyzed the manifolded components of the engine.
- A manifolded approach is crucial for understanding the geometry.
- He worked with manifolded equations in his research.
Translations
Translations of the word "manifolded" in other languages:
🇵🇹 manifoldado
🇮🇳 बहुथरित
🇩🇪 vielfältig
🇮🇩 beragam
🇺🇦 багатогранний
🇵🇱 wieloraki
🇯🇵 多様化された
🇫🇷 multiforme
🇪🇸 manifoldado
🇹🇷 çok yönlü
🇰🇷 다양화된
🇸🇦 متعدد الأوجه
🇨🇿 mnohostranný
🇸🇰 mnohoraký
🇨🇳 多样化的
🇸🇮 raznolik
🇮🇸 margvíslegur
🇰🇿 алуан
🇬🇪 მრავალფეროვანი
🇦🇿 çoxşaxəli
🇲🇽 manifoldado
Etymology
The term 'manifold' has its origins in the Old English 'manigfeald', meaning 'manyfold', which combines 'manig' (many) and 'feald' (folded). It has evolved through Middle English as 'manifold', referring to something that is diverse or consisting of many parts. The mathematical use of 'manifold' emerged in the 19th century as mathematicians like Bernhard Riemann started developing concepts related to higher dimensions and topology. The addition of the suffix '-ed' to form 'manifolded' implies a state or condition related to these manifold structures, indicating that a system has multiple facets or dimensions.