the aforementioned equation

USAGE SUMMARY

The phrase 'the aforementioned equation' is correct and usable in written English.
You can use this phrase when referring to an equation that you have already mentioned in the body of your text. For example: "The aforementioned equation describes the correlation between temperature and atmospheric pressure."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

20 human-written examples

However, in the case that T is non-self-mapping, the aforementioned equation does not necessarily have a solution.

Fixed Point Theory and Applications

The first term in the aforementioned equation denotes the useful signal received at subcarrier, while the second term represents the ICI from all other subcarriers.

EURASIP Journal on Wireless Communications and Networking

However, if T is a non-self-mapping from A to B, then the aforementioned equation does not necessarily admit a solution.

Fixed Point Theory and Applications

However, if T is a nonself-mapping from A to B, then the aforementioned equation does not necessarily admit a solution.

Fixed Point Theory and Applications

In the aforementioned equation, (PL) represents failure probability, (σ z ) represents the standard deviation, (μ z ) represents the mean value, represents the reliability index and represents the cumulative probability (Duncan 2000; Juang et al. 2000).

Geoenvironmental Disasters

The aforementioned equation is known as weighted likelihood estimation, and the resulting estimator is called Warm's likelihood estimator (WLE; Warm 1989), which has been shown to produce less bias than the unweighted maximum likelihood estimator of (theta).

Large-scale Assessments in Education

Human-verified similar examples from authoritative sources

Similar Expressions

40 human-written examples

Other equations are the same as the aforementioned equations in the robust model.

Journal of Industrial Engineering International

Furthermore, the equivalences of solutions and weak solutions for the aforementioned equations are justified.

Boundary Value Problems

The aforementioned equations were used to calculate the eGFRs in the entire cohort.

Clinical interventions in aging

We then estimated Nb for this new parentage file using the aforementioned equations.

Evolutionary Applications

Removing the normalizing constant from the aforementioned equations would result in the total remaining uncertainty and misinformation associated with a database of proteins and a set of predictions.

Bioinformatics

Expert writing Tips

Best practice

When using "the aforementioned equation", ensure the equation has been clearly and unambiguously introduced earlier in the text. This avoids confusion and maintains clarity for the reader.

Common error

Avoid using "the aforementioned equation" if the equation it refers to is not explicitly stated or easily identifiable in the preceding text. This can lead to ambiguity and disrupt the reader's understanding.

Linguistic Context

The phrase "the aforementioned equation" functions as a determiner phrase, specifically identifying a previously referenced equation. It points back to a particular equation that has already been introduced and is now being discussed further. Ludwig AI confirms its correctness.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "the aforementioned equation" is a correct and usable phrase for referring to a previously stated equation, as confirmed by Ludwig AI. It is most frequently used in scientific and academic contexts to ensure clarity and avoid redundancy. Alternatives include "the previously mentioned equation" and "the equation above", but "the aforementioned equation" carries a slightly more formal tone. When using this phrase, ensure that the equation you are referencing is clearly identifiable to your reader. This targeted reference enhances the precision and comprehension of technical writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the equation mentioned above

Replaces 'aforementioned' with 'mentioned above', indicating a reference to an equation previously discussed.

the previously mentioned equation

Substitutes 'aforementioned' with 'previously mentioned', maintaining the reference to an earlier equation.

the equation referenced earlier

Uses 'referenced earlier' instead of 'aforementioned', keeping the connection to a prior reference.

the said equation

Employs 'said' as a more concise way to refer to an equation already discussed.

the foregoing equation

Replaces 'aforementioned' with 'foregoing', indicating what precedes it.

the earlier equation

Specifies 'earlier' to indicate an equation from a prior point in the text.

the above equation

Uses 'above' to point to an equation presented in the preceding text.

equation (number)

Referencing by number provides a direct link to a specific equation.

the equation in question

Indicates the specific equation currently under consideration.

the relevant equation

Highlights the equation that is pertinent to the current discussion.

FAQs

How to use "the aforementioned equation" in a sentence?

Use "the aforementioned equation" to refer back to a specific equation you've already introduced in your text. For example, "Using "equation 1", we can calculate… as demonstrated by "the aforementioned equation".

What can I say instead of "the aforementioned equation"?

You can use alternatives like "the previously mentioned equation", "the equation above", or "the said equation" depending on the context.

Which is correct, "the aforementioned equation" or "the above equation"?

Both "the aforementioned equation" and "the above equation" are correct. "The aforementioned equation" is slightly more formal and implies a reference to an equation discussed earlier, while "the above equation" refers to an equation immediately preceding the current statement.

What's the difference between "the aforementioned equation" and "the following equation"?

"The aforementioned equation" refers to an equation that has already been presented, while "the following equation" introduces an equation that is about to be presented. They indicate opposite directions in the text.