as defined previously

USAGE SUMMARY

The phrase "as defined previously" is correct and usable in written English.
It can be used to refer back to a definition or explanation that was provided earlier in the text. Example: "The term 'sustainability' refers to practices that meet current needs without compromising future generations, as defined previously."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

where the variables are as defined previously.

Swiss Journal of Economics and Statistics

where all the variables are same as defined previously.

Forest Ecosystems

All data was annotated for events as defined previously.

Intensive Care Medicine Experimental

Measurements were performed at the best and worst hemodynamic position, as defined previously.

The Journal of Thoracic and Cardiovascular Surgery

These analyses were also performed looking only at severe injuries as defined previously.

Injury Epidemiology

where Y, ι, (tilde {boldsymbol {G}}), X, Z, L and ν are as defined previously.

Swiss Journal of Economics and Statistics

So choosing k 1 as defined previously negatively affects the performance.

EURASIP Journal on Advances in Signal Processing

As defined previously, actively tilting trains require some sort of device or component in other to initiate tilting.

Urban Rail Transit

To investigate the effect of migration networks, we divide the Mexican states between those with high migration, as defined previously, and the rest.

IZA Journal of Migration

where t i is the i th line of the circular matrix of x, t ( x ), as defined previously in (2.3).

Fixed Point Theory and Applications

The spectrum sensing problem distinguishes between two mutually independent Gaussian sequences y k), under hypothesis H0 and H1 respectively, as defined previously in Equation 1.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When using "as defined previously", ensure that the previous definition is clear and easily accessible to the reader. Avoid ambiguity by providing a specific reference if the definition is lengthy or complex.

Common error

Avoid using "as defined previously" if the definition was provided much earlier in the text or in a different document. Readers may not remember the exact definition, so a brief restatement or a more explicit reference can improve clarity.

Linguistic Context

The phrase "as defined previously" functions as an adverbial phrase, modifying a verb or clause by indicating that a term or concept has been previously established. Ludwig AI shows its common use in academic and scientific writing to avoid repetition and maintain conciseness.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "as defined previously" serves as a useful tool in academic and scientific writing to refer back to a previously established definition. It is grammatically correct and most commonly found in scientific literature. Ludwig AI confirms the phrase's usability. When employing this phrase, it's important to ensure that the previous definition is clear and accessible to the reader, preventing any ambiguity. Alternative phrases like "as previously defined" or "as mentioned earlier" can be used to add variety to your writing while maintaining clarity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as previously defined

Word order is changed, placing "previously" before "defined" for emphasis.

as earlier defined

Replaces "previously" with "earlier" to denote a definition given at a prior point in the text.

as specified above

Uses "specified" instead of "defined", implying a more explicit and detailed presentation of the concept.

as noted before

Shifts the focus to a previously mentioned observation rather than a formal definition.

as indicated earlier

Highlights that the item was signaled or pointed out earlier in the text rather than being formally defined.

as mentioned previously

Emphasizes that the item was brought up in a prior statement without necessarily being strictly defined.

as established before

Implies that the concept was firmly set or proven at an earlier point in the text.

as explained above

Replaces "defined" with "explained", highlighting a prior elaboration or clarification of the concept.

as delineated earlier

Replaces "defined" with "delineated", indicating a more precise and detailed description was provided before.

as introduced previously

Emphasizes a prior presentation or unveiling of the item in the discourse, focusing on introduction rather than definition.

FAQs

How can I use "as defined previously" in a sentence?

You can use "as defined previously" to refer back to a term, concept, or variable that you've already explained. For example, "The experimental units were treated "as defined previously", ensuring consistency across the study".

What are some alternatives to "as defined previously"?

Alternatives include "as previously defined", "as mentioned earlier", or "as specified above", depending on the specific context and the nuance you wish to convey.

Is it better to restate a definition or use "as defined previously"?

It depends on the length and complexity of the definition and the context of your writing. If the definition is short and crucial for understanding, restating it might be better. If it's lengthy, using "as defined previously" is acceptable, but consider providing a page number or section reference.

When should I avoid using "as defined previously"?

Avoid using "as defined previously" if the definition is not easily accessible or if a significant amount of text has passed since the initial definition. In such cases, briefly restating the definition enhances clarity.