as defined earlier

USAGE SUMMARY

The phrase 'as defined earlier' is correct and usable in written English.
You can use it as a transition to refer back to an earlier definition or statement. For example: Steel is a strong metal, as defined earlier.

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Let and be as defined earlier.

Journal of Inequalities and Applications

where Y, G, X and Z are as defined earlier.

Swiss Journal of Economics and Statistics

Don't just say "as defined earlier" or "we will see below"; give the section number.

Johns Hopkins University

Each of these forms a locally finite variety as defined earlier.

SEP

As defined earlier, a combinator is a λ-term with no free variables.

SEP

where F and V are as defined earlier on Equations 2 and 3, respectively.

Mathematical Sciences

where C ( x ) is non-increasing and ρ and σ are as defined earlier.

Boundary Value Problems

Vectors X t and X c remain the same as defined earlier.

EURASIP Journal on Advances in Signal Processing

In these plots, dysnatremia was categorized into similar groups as defined earlier.

Annals of Intensive Care

As defined earlier, the chance-constrained model is exactly (1) to (25) after converting implied constraint (26) to (28).

Journal of Shipping and Trade

Therefore, these two research papers cannot stand as 'optimisation of ship voyage' research area as defined earlier.

Journal of Shipping and Trade

Expert writing Tips

Best practice

When using "as defined earlier", ensure the original definition is clear and easily accessible to the reader. Provide a section number or specific reference if possible.

Common error

Avoid using "as defined earlier" if the definition is ambiguous or not easily found within the text. This can frustrate readers and undermine your credibility.

Linguistic Context

The phrase "as defined earlier" functions as an anaphoric marker, directing the reader to a prior definition within the text. Ludwig AI confirms its correct usage in various contexts.

Expression frequency: Very common

Frequent in

Science

68%

Academia

20%

Formal & Business

12%

Less common in

News & Media

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "as defined earlier" is a common and grammatically correct phrase used to refer back to a previous definition or explanation within a text. According to Ludwig AI, this phrase is most frequently found in scientific and academic writing. To ensure clarity, it's best practice to provide a specific reference to the original definition. While various alternatives exist, such as "as specified earlier" or "as previously mentioned", "as defined earlier" remains a straightforward and widely accepted way to avoid redundancy and maintain coherence.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as decided earlier

Changes the verb to 'decided', implying a decision was made previously, rather than a definition given.

as characterized earlier

Uses 'characterized' instead of 'defined', suggesting a description of qualities or features was previously provided.

as determined earlier

Replaces 'defined' with 'determined', implying a conclusion or finding was previously established.

as identified earlier

Substitutes 'defined' with 'identified', suggesting something was previously recognized or pinpointed.

as specified earlier

Uses 'specified' instead of 'defined', indicating that particular details or conditions were previously laid out.

as outlined earlier

Replaces 'defined' with 'outlined', suggesting a summary or general plan was previously presented.

as explained earlier

Substitutes 'defined' with 'explained', implying a clarification or reason was previously given.

as indicated earlier

Uses 'indicated' instead of 'defined', suggesting a sign or hint was previously pointed out.

as described earlier

Replaces 'defined' with 'described', suggesting that a comprehensive depiction was previously provided.

as mentioned previously

Uses 'mentioned' instead of 'defined' to refer to something briefly stated before.

FAQs

How to use "as defined earlier" in a sentence?

Use "as defined earlier" to refer back to a term, concept, or variable that you have already explicitly defined in your text. For example, "The term 'algorithm', "as defined earlier", plays a crucial role in data processing".

What can I say instead of "as defined earlier"?

You can use alternatives like "as specified earlier", "as explained earlier", or "as previously mentioned" depending on the context.

Is it necessary to provide a specific reference when using "as defined earlier"?

While not always mandatory, providing a specific reference (e.g., section number, equation number) can significantly improve clarity and accessibility for the reader.

What's the difference between "as defined earlier" and "as will be defined later"?

"As defined earlier" refers to something that has already been defined in the text, while "as will be defined later" indicates that the definition will be provided in a subsequent part of the text.