Well-defined: meaning, definitions and examples
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well-defined
[ ˌwel dɪˈfaɪnd ]
mathematics
Clearly and precisely stated or described. A term used to describe a concept or object that has a precise definition and can be easily understood.
Synonyms
Which Synonym Should You Choose?
Word | Description / Examples |
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well-defined |
Use this term when something is explicitly detailed and has clear boundaries, often in academic or technical writing.
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clear |
Suitable for general use in everyday language to describe something easy to understand or see.
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precise |
Use when referring to something that is exact and accurate, often in scientific or formal contexts.
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unambiguous |
Best used when emphasizing that there is only one possible interpretation, often in legal or technical documents.
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Examples of usage
- His theorem was well-defined and easy to apply in various mathematical problems.
- The function was well-defined, with clear boundaries and limitations.
- The definition of the set was well-defined, leaving no room for ambiguity.
general
Clearly outlined or specified. Refers to something that is clearly articulated or explained.
Synonyms
Which Synonym Should You Choose?
Word | Description / Examples |
---|---|
well-defined |
This is used when something is carefully and clearly described or outlined, often with precise boundaries or details.
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clear |
This is used when something is easy to understand and not confusing. It can be used in a wide range of situations, from instructions to explanations.
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specific |
This is used when referring to something particular or unique, often with detailed and focused information.
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explicit |
This is used when something is stated in a very direct and detailed manner, leaving no room for doubt or misinterpretation. Often used in formal or serious settings.
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Examples of usage
- The rules of the game were well-defined, ensuring fair play for all participants.
- The objectives of the project were well-defined from the beginning.
- The parameters of the experiment were well-defined, allowing for accurate results.
Translations
Translations of the word "well-defined" in other languages:
🇵🇹 bem definido
🇮🇳 अच्छी तरह से परिभाषित
🇩🇪 gut definiert
🇮🇩 terdefinisi dengan baik
🇺🇦 чітко визначений
🇵🇱 dobrze zdefiniowany
🇯🇵 明確に定義された
🇫🇷 bien défini
🇪🇸 bien definido
🇹🇷 iyi tanımlanmış
🇰🇷 잘 정의된
🇸🇦 مُحَدَّد بِوُضُوح
🇨🇿 dobře definovaný
🇸🇰 dobre definovaný
🇨🇳 定义明确的
🇸🇮 dobro opredeljen
🇮🇸 vel skilgreindur
🇰🇿 жақсы анықталған
🇬🇪 კარგად განსაზღვრული
🇦🇿 yaxşı təyin olunmuş
🇲🇽 bien definido
Etymology
The term 'well-defined' originated from the combination of 'well' meaning in a good or satisfactory manner, and 'defined' meaning to state the meaning of a word or phrase clearly and precisely. It is commonly used in mathematics and other fields to indicate concepts or objects that have clear and unambiguous definitions.