defines on

USAGE SUMMARY

The phrase "defines on" is not correct and not usable in written English.
It seems to be a misuse of the verb "define," which typically requires a direct object and does not pair with "on" in this context. Example: "The term 'sustainability' defines the ability to meet present needs without compromising future generations."

⚠ May contain grammatical issues

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

9 human-written examples

With the help of a non-singular and measurable mapping (tau Omega rightarrowOmega) one defines on (L^{0}) the composition operator (c_{tau}x ) (t):=xbigl tau(t bigr) for any (tinOmega) and any (xin L^{0}(Omega)).

Journal of Inequalities and Applications

Ms. Sher noted that she even invented a word to describe the predicament: "emotaling," which she defines on her Web site as "to feel, think and judge oneself in rapid succession, ultimately causing immobility".

The New York Times

Members who exhibit lunk behavior, which the company defines on posters in its facilities as grunting, dropping weights loudly and being judgmental, are subject to a public shaming when a manager at the facility sounds the alarm.

The New York Times

Accordingly, QH defines on the G's manifold an IP paradigm where information as experimental knowledge is processed; i.e., IP concerns both syntax and semantics.

Acta Astronautica

If a t-norm T is such that sup x < 1 T ( x, x ) = 1, then { U v } v ∈ S defines on S a metrizable topology.

Fixed Point Theory and Applications

Every element (gin mathop {mathrm {Aut}}(X^*)) is uniquely determined by the permutation (pi ) it defines on the first level (Xsubset X^*) and the first level sections (g|_x), (xin X).

Bulletin of Mathematical Sciences

Human-verified similar examples from authoritative sources

Similar Expressions

51 human-written examples

(i) Let us define on by (2.6)  .

Advances in Difference Equations

Let us define on by (2.6).

Advances in Difference Equations

Set, and define on as follows: (4.3).

Journal of Inequalities and Applications

For, let the function be defined on as follows: (2.11).

Journal of Inequalities and Applications

(A lunk is defined, on a poster, as "one who grunts, drops weights, or judges").

The New York Times

Expert writing Tips

Best practice

Avoid using "defines on". Instead, use "defines" followed by the object being defined, or rephrase to use alternatives like "provides a definition for" or "is defined as".

Common error

Do not use "defines on" when you intend to simply state a definition. The correct usage is "defines" directly followed by what is being defined. For example, instead of "The author defines on the term..." use "The author defines the term..."

Linguistic Context

The phrase "defines on" attempts to function as a verb phrase, aiming to describe the act of establishing a definition concerning a particular subject. However, as Ludwig AI indicates, this construction is grammatically questionable. The examples show varied attempts to use it, often incorrectly.

Expression frequency: Uncommon

Frequent in

Science

62.5%

News & Media

25%

Encyclopedias

12.5%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "defines on" is generally considered grammatically incorrect. While it appears in a limited number of contexts, primarily within scientific and news-related domains, Ludwig AI analysis suggests that it should be avoided in favor of more standard constructions like "defines" or "is defined as". It's crucial to prioritize grammatical precision over verbatim recall when expressing definitions in your writing. It is important to note that while it can be found in some sources, it's better to use more standard constructions. Consider using defines, "provides a definition for" or "is defined as".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Defines

This is the base verb without the preposition. It's direct and grammatically sound in most contexts.

Provides a definition for

This alternative explicitly states the action of providing a definition, adding clarity.

Establishes a function for

Replaces "defines" with "establishes" to highlight the creation of a function or purpose.

Specifies the properties of

Focuses on the act of specifying attributes rather than defining a general concept.

Designates as

This phrase denotes the action of assigning a specific role or name.

Identifies as

This suggests a recognition and classification of something.

Outlines the scope of

Focuses on delineating the boundaries or extent of something.

Characterizes as

This highlights the act of describing the distinctive traits of something.

Sets the parameters for

This option emphasizes establishing the boundaries or conditions for something.

Articulates the meaning of

This suggests a clear and detailed explanation of the significance.

FAQs

What is the correct way to use the verb "define"?

The verb "define" should be followed by the object that is being defined. For example, "The dictionary defines 'love' as an intense feeling of affection."

What can I say instead of "defines on"?

Instead of "defines on", you can use alternatives like "defines", "provides a definition for", or "is defined as", depending on the context.

Is it grammatically correct to say something is "defined on"?

While you might see "defined on" used in some contexts, it's often more accurate to say something "is defined by" or simply "defines" something else directly.

How to properly use define when providing a meaning?

To provide a meaning, use 'define' followed by the term being defined. For instance, "The manual defines 'algorithm' as a step-by-step procedure". In contexts where a domain or range is indicated, use 'defined on' followed by the set over which it is defined.