is well-defined

USAGE SUMMARY

The phrase "is well-defined" is correct and usable in written English.
It is typically used in mathematical or technical contexts to indicate that a concept or term has a clear and unambiguous meaning. Example: "In this context, the term 'limit' is well-defined and can be applied to various functions."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

The bass is well-defined, and the treble is clear.

The Guardian - Tech

Therefore, is well-defined.

Fixed Point Theory and Applications

Hence, W is well-defined.

Journal of Cheminformatics

Those days are over — the category is well-defined.

TechCrunch

What is normal is well-defined yet broad.

Vice

Make sure your waist is well-defined.

WikiHow

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

Hence, is well defined.

Boundary Value Problems

So, is well defined.

Journal of Inequalities and Applications

(2) is well defined.

Fixed Point Theory and Applications

then, is well defined.

Boundary Value Problems

Therefore, J is well defined.

Advances in Difference Equations

Expert writing Tips

Best practice

When using "is well-defined", ensure that the context provides enough information for the reader to understand the specific criteria or properties that make the subject well-defined. Avoid vague or general statements.

Common error

Avoid claiming something "is well-defined" without actually providing or referencing the specific definition or criteria. This can mislead the reader and undermine the credibility of your statement.

Linguistic Context

The phrase "is well-defined" functions as a predicative adjective, clarifying a noun or concept's status by emphasizing its clear and unambiguous nature. As Ludwig AI states, the phrase indicates that a concept or term has a clear and unambiguous meaning.

Expression frequency: Uncommon

Frequent in

Science

67%

News & Media

17%

Wiki

16%

Less common in

Formal & Business

0%

Encyclopedias

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, the phrase "is well-defined" serves as a crucial tool for ensuring clarity and precision, particularly in technical and scientific writing. It indicates that a term or concept has a clear, unambiguous meaning. Ludwig AI confirms its usability in written English. While not extremely frequent, its presence in academic journals, news articles, and wikis underscores its importance in contexts demanding precision. Remember to use this phrase when you want to assure your audience that a concept is rigorously specified and leaves no room for misinterpretation.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

is clearly defined

Emphasizes the clarity of the definition.

is precisely defined

Highlights the precision and accuracy of the definition.

is unambiguously defined

Stresses the lack of ambiguity in the definition.

is distinctly defined

Focuses on the distinctness and separateness of the definition.

is accurately specified

Highlights the accurate and detailed specification of something.

is properly defined

Indicates that the definition adheres to accepted standards or rules.

is rigorously defined

Emphasizes the strictness and thoroughness of the definition.

is explicitly defined

Highlights that the definition is stated directly and openly.

is definitively established

Focuses on the conclusive and settled nature of the definition.

is comprehensively defined

Indicates that the definition covers all aspects thoroughly.

FAQs

How can I use "is well-defined" in a sentence?

You can use "is well-defined" to indicate that a concept, term, or procedure has a clear and unambiguous meaning or set of rules. For example, "In mathematics, a function is well-defined if it produces the same output for the same input".

What does it mean for something to be "well-defined"?

When something is "well-defined", it means that its meaning or procedure is clear, precise, and unambiguous. There should be no room for misinterpretation or inconsistency in its application.

What are some alternatives to saying "is well-defined"?

Alternatives include "is clearly defined", "is precisely defined", or "is unambiguously defined", depending on the specific aspect you want to emphasize.

Is it always necessary to use "is well-defined" in technical writing?

While not always necessary, using "is well-defined" is crucial in technical and mathematical contexts to ensure clarity and prevent misunderstandings. It assures the reader that a concept or operation has a consistent and reliable meaning.