it is well defined

USAGE SUMMARY

The phrase "it is well defined" is correct and usable in written English.
You can use it when discussing concepts, terms, or parameters that are clearly and precisely established. Example: "In mathematics, a function is considered valid if it is well defined across its entire domain."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

29 human-written examples

It was noticed that the B-factors of CrSPI-1 molecule is higher, might indicate its reduced occupancy; however, it is well defined in the electron density map (Figure 4C).

Plosone

Although it is well defined in Merriam-Webster's Dictionary of Law as "capable of being expressed, explained or justified," in some usages above it is treated as a synonym for "specific"; in others, it is a softer substitute for that hard-edged word that better protects civil liberty.

The New York Times - Magazine

In this section, we present our algorithm and show it is well defined.

Journal of Inequalities and Applications

It is well defined in W and of class C 1 (as a consequence of hypothesis (2)).

Boundary Value Problems

Proof First, we show that C n is closed and convex, that the projection on it is well defined.

Journal of Inequalities and Applications

A combined method that uses the standard height function where it is well defined and the proposed scheme in under-resolved regions is tested.

Journal of Computational Physics

Human-verified similar examples from authoritative sources

Similar Expressions

30 human-written examples

It has been argued that if the rationale for the hypothesis and the biological mechanism behind it are well defined (and not just a "fishing expedition"), then there is no reason for multiple comparison correction (31) since in such a situation there is no theoretical basis for a "universal null hypothesis," and chance would not be the first explanation of the observed results (31).

Diabetes Care

In view of, it follows that is well defined and continuous.

Fixed Point Theory and Applications

It is easy to check that is well defined, and it is a solution of (1.2).

Journal of Inequalities and Applications

Then it is clear that is well defined.

Advances in Difference Equations

Since h : E → X is one-to-one, it follows that H is well defined.

Fixed Point Theory and Applications

Expert writing Tips

Best practice

Use "it is well defined" to ensure that a concept, term, or parameter is clearly established and understood within the given context, leaving no room for misinterpretation.

Common error

Avoid using "it is well defined" in casual or informal writing where simpler terms like "it is clear" or "it is known" would be more appropriate. The phrase is best suited for technical or formal settings.

Linguistic Context

The phrase "it is well defined" primarily functions as an assertion of clarity and precision regarding a particular concept or entity. Ludwig AI confirms that this phrase is correct and usable in written English. It suggests that the subject in question has a clear and unambiguous definition.

Expression frequency: Common

Frequent in

Science

70%

News & Media

10%

Wiki

7%

Less common in

Formal & Business

3%

Reference

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "it is well defined" is a grammatically correct and usable expression that serves to assert the clarity and precision of a concept or entity. As noted by Ludwig AI, it's most appropriate for formal and technical contexts like scientific papers or legal documents, where unambiguous definitions are crucial. While alternatives like "it is clearly defined" or "it is precisely defined" exist, the original phrase remains a solid choice for ensuring understanding and preventing misinterpretations. Avoid using this term in informal contexts, where simpler language is more appropriate.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

it is clearly defined

Focuses on the clarity of the definition.

it is precisely defined

Emphasizes the exactness of the definition.

it is unambiguously defined

Highlights the lack of ambiguity in the definition.

it is properly defined

Suggests the definition adheres to a standard or protocol.

it is rigorously defined

Implies a high level of scrutiny and precision in the definition.

it is soundly defined

Indicates the definition is logically consistent and robust.

it is accurately defined

Highlights the correctness of the definition.

it is validly defined

Suggests the definition is legally or formally acceptable.

it is distinctly defined

Emphasizes the separateness and clarity of the definition from others.

it is formally defined

Implies the definition is presented in a structured and conventional manner.

FAQs

What does "it is well defined" mean?

The phrase "it is well defined" indicates that a concept, term, or process has a clear, precise, and unambiguous definition. This means that its meaning or function is clearly established and understood.

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

You can use "it is well defined" to emphasize the clarity and precision of a definition. For example: "In mathematics, a function is considered valid if "it is well defined" across its entire domain."

What are some alternatives to "it is well defined"?

Alternatives include "it is clearly defined", "it is precisely defined", or "it is unambiguously defined". The best choice depends on the specific context and the nuance you want to convey.

When is it appropriate to use "it is well defined"?

It is appropriate to use "it is well defined" in formal or technical contexts where precise language is important, such as in scientific papers, legal documents, or mathematical proofs. It's less suitable for informal conversation or casual writing.