Well-defined Meaning: Definition, Examples, and Translations
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well-defined
[หwel dษชหfaษชnd ]
Definitions
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
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Interesting Facts
Education
- In effective teaching, well-defined learning objectives help students understand what they are expected to learn and achieve.
- Clear and well-defined projects in a classroom can lead to better student engagement and clearer outcomes.
Mathematics
- In math, a well-defined function has specific rules that determine its output for every possible input, avoiding confusion.
- Clarity in mathematical definitions is crucial for students to build a strong foundation in problem-solving.
Art
- Artists use well-defined lines in their work to create a clear focus and bring certain elements to life, like a bold outline on a painting.
- In photography, a well-defined image draws attention to the subject, highlighting details and emotions.
Technology
- In programming, well-defined functions or methods allow for reusable code, which enhances efficiency and readability.
- User experience design often prioritizes well-defined interfaces that are intuitive, making technology easier to use for everyone.
Origin of 'well-defined'
Main points about word origin
- The term combines 'well,' meaning in a good or proper way, and 'defined,' which comes from 'define,' to describe clearly.
- The roots of 'define' go back to the Latin word 'definire,' which means to limit or set boundaries.
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.