rigorous definition

USAGE SUMMARY

The phrase "rigorous definition" is correct and usable in written English.
It can be used when discussing a precise and strict explanation of a term or concept, often in academic or technical contexts. Example: "In mathematics, a rigorous definition of a limit is essential for understanding calculus."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

First, we lack any rigorous definition of "complexity," rendering comparisons by that measure meaningless.

The Economist

AOL Time Warner dropped out of the bidding to acquire the media rights to the 2010 and 2012 Olympics yesterday, citing the rigorous definition of a broadcast network by the International Olympic Committee.

The New York Times - Sports

A suspicious individual's presence in a "high-crime area" is among the criteria American police may use to determine whether a search is acceptable: a more rigorous definition of those locations will stop that justification being abused.

The Economist

Part (ii) involves "our experiences" which do not have a rigorous definition.

SEP

To a great extent, the problem lies in the lack of a rigorous definition for TDD.

Information and Software Technology

Mayer-Schönberger and Cukier [23] argued that there is no rigorous definition of 'big data'.

Complex & Intelligent Systems

For a more rigorous definition of stability, we can refer to [22, 23].

EURASIP Journal on Wireless Communications and Networking

To turn the idea of the formal character of logics into a rigorous definition we need to introduce the concept of propositional language and the concept of substitution.

SEP

Unfortunately there is not a completely satisfying and philosophically rigorous definition available, though there are at least two very good starting points.

SEP

The notion of the \ e\ -development of hypothesis \ e\ -developmentn an entirely general and rigofous definition, but we'll not need thypothesisof detail here.

SEP

A rigorous definition of the delta function became possible in distribution theory, which was developed by Schwartz from the mid-1940s thethearly 1950s0s.

SEP

Expert writing Tips

Best practice

When using "rigorous definition", ensure the context reflects the need for a precise and well-supported explanation. This phrase is particularly suitable in academic, scientific, or technical writing where clarity is paramount.

Common error

Avoid using "rigorous definition" in casual or informal writing. The phrase can sound overly formal and out of place if a simple, less technical explanation suffices.

Linguistic Context

The phrase "rigorous definition" functions primarily as a noun phrase, where the adjective "rigorous" modifies the noun "definition". It highlights the precise and exacting nature of the definition being presented. As Ludwig AI suggests, it refers to a precise and strict explanation of a term or concept.

Expression frequency: Very common

Frequent in

Science

60%

News & Media

20%

Encyclopedias

10%

Less common in

Wiki

5%

Formal & Business

3%

Reference

2%

Ludwig's WRAP-UP

In summary, the phrase "rigorous definition" is a common and grammatically sound expression used to denote a precise, accurate, and exacting explanation of a term or concept. As Ludwig AI confirms, it's most appropriate in formal contexts like science, academia, and law, where clarity and precision are paramount. While alternatives like "strict definition" or "precise definition" exist, "rigorous definition" specifically emphasizes the well-supported and carefully formulated nature of the explanation. When employing this phrase, ensure the context warrants such formality, as overuse in informal settings can sound unnatural.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

strict definition

Emphasizes adherence to rules and precision.

precise definition

Focuses on accuracy and lack of ambiguity.

exact definition

Highlights the completeness and accuracy of the explanation.

formal definition

Implies a structured and standardized explanation.

technical definition

Relates to explanations within specific fields.

accurate definition

Stresses the correctness and truthfulness of the explanation.

well-defined concept

Shifts focus to the clarity and unambiguous nature of a concept.

clearly defined term

Emphasizes the absence of confusion regarding a specific word.

thorough definition

Emphasizes completeness and attention to detail in the explanation.

detailed explanation

Highlights the level of granularity provided in the explanation.

FAQs

How to use "rigorous definition" in a sentence?

Use "rigorous definition" when you need a precise and strict explanation of a term or concept. For example: "The paper provides a "rigorous definition" of quantum entanglement."

What can I say instead of "rigorous definition"?

You can use alternatives like "strict definition", "precise definition", or "formal definition" depending on the context.

Is it always necessary to have a "rigorous definition"?

No, a ""rigorous definition"" is most important in technical, scientific, or legal contexts where precision is essential. In other situations, a general understanding may be sufficient.

What makes a definition "rigorous"?

A ""rigorous definition"" is characterized by its precision, clarity, and lack of ambiguity. It often involves specific criteria and leaves little room for interpretation.