the above relation

USAGE SUMMARY

The phrase "the above relation" is correct and usable in written English.
It can be used when referring to a previously mentioned relationship or connection in a text. Example: "In the context of our discussion, the above relation highlights the correlation between variables A and B."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

In the present work, the concentration dependence of NH3 diffusivities is found to satisfy the above relation.

Chemical Engineering Science

From the best fitting of the above relation with the measured data of the effective electric resistivity, we obtained the dependence of the damage variable on the certain component of the plastic strain tensor.

Acta Materialia

Since the number of molecules in a unit area of the surface is (V/N −2/3 the above relation can be interpreted to mean that the surface energy per unit area, and the thermal energy of the molecules in that area, are proportional to each other at the melting point.

Nature

Integrating the above relation, we obtain (3.5).

Journal of Inequalities and Applications

By simplifying the above relation, (11).

EURASIP Journal on Advances in Signal Processing

The evidence of the above relation will be demonstrated later.

Pacific Journal of Mathematics for Industry

Using the above relation and Eq. (28), we find.

The Journal of Mathematical Neuroscience (JMN)

Let us write the above relation as BH→Si (1).

Nanoscale Research Letters

Letting in the above relation we have which implies that.

Fixed Point Theory and Applications

The definition, the above relation, and (3.67) together imply (3.70).

Fixed Point Theory and Applications

The other cases (#2b, #4a) are marginal and consistent with the above relation.

Earth, Planets and Space

Expert writing Tips

Best practice

When using "the above relation", ensure that the relation you are referring to is clearly and unambiguously stated earlier in the text. This avoids confusion and maintains clarity for the reader.

Common error

Avoid using "the above relation" if the relation is not immediately clear or has been discussed in detail several sections prior. In such cases, restate the relation or provide a specific reference to its location in the text.

Linguistic Context

The phrase "the above relation" functions as a referential expression, specifically an anaphoric reference. It points back to a previously mentioned relationship, equation, or connection. As stated by Ludwig AI, this phrase is usable in written English for referring to a previously mentioned relationship or connection.

Expression frequency: Very common

Frequent in

Science

98%

Formal & Business

1%

News & Media

1%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "the above relation" is a frequently used phrase, particularly in scientific and formal writing, to reference a previously mentioned relationship or connection. Ludwig AI confirms its grammatical correctness and usability. While alternatives like "the aforementioned relation" or "the preceding relation" exist, the key is to ensure the reference is clear and unambiguous. Using this phrase effectively can enhance conciseness and readability. Always ensure the referenced relation is easily found within the context.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the aforementioned relation

Uses a more formal word, "aforementioned", to indicate something previously mentioned.

the foregoing relation

Employs "foregoing", another formal synonym for "preceding", to point to what was stated earlier.

the preceding relation

Replaces "above" with "preceding", indicating the relation that comes before.

the previous relation

Substitutes "above" with "previous", to denote the relation that occurred earlier.

the above connection

Uses the word "connection" instead of "relation", implying a link or association.

the aforementioned connection

Combines "aforementioned" and "connection" for a formal reference to a prior link.

the defined relationship

Replaces "relation" with "relationship", emphasizing the connection between entities.

the established relationship

Highlights that the relationship has been proven or made clear.

the stated connection

Replaces relation with connection emphasizing that something was clearly expressed or declared.

the presented relationship

Emphasizes that something (relationship) has been formally given to someone.

FAQs

What does "the above relation" mean?

The phrase "the above relation" is used to refer to a relationship, equation, or connection that has been previously mentioned or defined within the text. It's a way to avoid restating the entire relation and keep the writing concise.

What can I say instead of "the above relation"?

You can use alternatives like "the aforementioned relation", "the foregoing relation", or "the preceding relation" to vary your phrasing.

Is it appropriate to use "the above relation" in formal writing?

Yes, "the above relation" is acceptable in formal and scientific writing, as demonstrated by its frequent use in academic papers and journals. However, ensure the context is clear to prevent ambiguity.

How can I ensure clarity when using "the above relation"?

To ensure clarity, make sure the relation you are referring to is explicitly stated and easily locatable within the preceding text. If there's any chance of confusion, consider briefly restating the relation or providing a specific reference.