as above defined

USAGE SUMMARY

The phrase "as above defined" is correct and usable in written English.
It is typically used in legal or formal documents to refer back to a definition or explanation provided earlier in the text. Example: "The term 'contractor' shall refer to any individual or entity, as above defined, who enters into an agreement with the company."

✓ Grammatically correct

Science

Encyclopedias

News & Media

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

Thus, instead of merging PPI information for any protein identifier stored in the source databases, the latter were selectively mined for PPIs exclusively between members of the as above defined reference human protein set.

BMC Systems Biology

The score vector (vec{p}), containing the scores (p_i) as above defined, is finally normalized to sum to one.

Journal of Big Data

In all, 46 additional patients had a long-term disease stabilisation (SD after ⩾6 months), providing a clinical benefit rate of 73%9595% CI: 63.2 81.4); thus, AN was considered as active at the level of clinical interest as above defined.

British Journal of Cancer

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

By the same method as above, define by for all.

Journal of Inequalities and Applications

Further, set,,,, and, as above, define the sequences and Then it is easy to show that (257).

Fixed Point Theory and Applications

The reader is also shown in detail how to proceed from the data in each case to a polynomial as above defining the resistance force.

SEP

A TEG G value below the normal range was considered as hypocoagulable and values above defined as hypercoagulable [ 23].

Acta Veterinaria Scandinavica

More formally, starting from B1 and T1 defined as above, we define a series of bitmaps B1, B2,… and a series of sets T1, T2,… as follows.

Algorithms for Molecular Biology

Let be stated as above, define as (3.26).

Journal of Inequalities and Applications

Theorem A. Let be defined as above, and let be defined on by (1.3).

Journal of Inequalities and Applications

Theorem B. Let be defined as above, and let be defined on by (1.5).

Journal of Inequalities and Applications

Expert writing Tips

Best practice

In technical writing, use "as above defined" to clearly link a current statement back to a specific definition previously provided, enhancing clarity and avoiding ambiguity. For example: "The 'algorithm', as above defined, will now be applied to the data set".

Common error

Avoid using "as above defined" if the term or concept hasn't been explicitly defined earlier in the text. Readers might get confused. Make sure your definition is crystal clear before referencing it later.

Linguistic Context

The phrase "as above defined" functions as an adverbial phrase that modifies a verb or clause by providing additional information about it. It specifically indicates that the subject being discussed has been previously defined within the same text. Ludwig AI validates its correct grammatical structure.

Expression frequency: Rare

Frequent in

Science

60%

Encyclopedias

20%

News & Media

20%

Less common in

Formal & Business

0%

Wiki

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, "as above defined" is a grammatically sound adverbial phrase used to link a reference to a definition already provided within a text. According to Ludwig AI, its usage is correct, though infrequent. It is most appropriate in formal, scientific, or technical writing where clarity and precision are essential. Simpler alternatives such as "as previously defined" or "as defined earlier" may be suitable for less formal contexts. When using this phrase, ensure there is a clear and explicit prior definition to avoid confusing the reader.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Defined as above

This is a shorter version with the same meaning.

As previously defined

This alternative is a more common and direct way of indicating a reference to a prior definition.

As defined earlier

This alternative uses a simpler vocabulary while maintaining the same core meaning.

As mentioned above

This alternative broadens the reference to include mentions beyond just definitions.

As described above

This option shifts the focus to a prior description, rather than a strict definition.

As stated above

This option highlights that the information was declared or affirmed previously.

According to the definition above

This alternative provides explicit emphasis on the definition.

Per the above definition

This option offers a slightly more formal tone, emphasizing adherence to the definition.

Referring to the definition above

This makes the reference explicit by starting the phrase with "referring to".

In accordance with the above definition

This is a formal alternative emphasizing conformity with the given definition.

FAQs

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

Use "as above defined" to refer back to a specific definition or explanation you've already provided in the text. For instance, "The 'variable', as above defined, is crucial for understanding the model."

What's a simpler way to say "as above defined"?

You can use phrases like "as previously defined", "as defined earlier", or "as mentioned above" for a less formal tone.

Is it okay to use "as above defined" in informal writing?

While grammatically correct, "as above defined" is better suited for formal or technical contexts. In informal writing, simpler alternatives like "as I said before" might be more appropriate.

What is the difference between "as above defined" and "as defined below"?

"As above defined" refers to a definition provided earlier in the text, while "as defined below" indicates that the definition will be provided later in the text. Choose the phrase that accurately reflects the location of the definition.