the above equation

USAGE SUMMARY

The phrase 'the above equation' is correct and usable in written English.
You might use this phrase when referring to an equation written previously in a document. For example, "Solving the above equation gives us the solution x = 4."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The above equation holds because.

EURASIP Journal on Wireless Communications and Networking

According to the above equation, x = 7.

Research and Practice in Technology Enhanced Learning

The above equation is valid because and.

EURASIP Journal on Wireless Communications and Networking

The above equation is rewritten as (6.1).

Boundary Value Problems

Solving the above equation, we obtain (36).

EURASIP Journal on Wireless Communications and Networking

The above equation is valid because (5).

EURASIP Journal on Advances in Signal Processing

The above equation ensures the system stability.

Journal of Modern Power Systems and Clean Energy

Now, we prove the above equation.

EURASIP Journal on Wireless Communications and Networking

We substitute into the above equation.

Journal of Inequalities and Applications

The above equation presents a focused image.

International Journal of Geo-Engineering

The result follows from the above equation.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using "the above equation", ensure there's no ambiguity about which equation you're referencing. Numbering equations can greatly improve clarity.

Common error

Avoid using "the above equation" if several equations appear on the same page. Always provide a specific identifier or equation number to prevent confusion.

Linguistic Context

The phrase "the above equation" functions as a referential expression, specifically an anaphoric reference. It points back to a previously mentioned equation, allowing for concise communication without repeating the equation itself. As Ludwig AI confirms, this expression is suitable for use in written English.

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 "the above equation" is a grammatically sound and frequently used expression, particularly in scientific and technical writing. According to Ludwig AI, it's perfectly acceptable for use. It serves to reference a previously mentioned equation, promoting conciseness and clarity. To ensure clear communication, it's crucial to use it when there's no ambiguity about the equation being referenced, and numbering equations can enhance this clarity. Alternatives like "the preceding equation" or "the previous equation" offer similar functionality. The main usage contexts are scientific publications.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the preceding equation

Replaces "above" with "preceding" offering a slightly more formal tone but maintains the same core meaning of referring to the equation mentioned before.

the previous equation

Substitutes "above" with "previous", providing a simpler and equally common way to indicate the equation immediately before the current one.

the equation above

Inverts the phrase while retaining the meaning; less common but still understandable.

the aforementioned equation

Replaces "above" with "aforementioned" indicating a more formal and emphatic reference to an equation already discussed.

the equation mentioned above

Adds "mentioned" for emphasis, clarifying that the equation has been specifically referenced earlier.

the equation discussed above

Similar to "mentioned above", but specifies that the equation was part of a discussion.

equation (number)

Uses the equation number as a direct reference, assuming equations are numbered within the document.

the formula above

Substitutes "equation" with "formula" assuming the context involves mathematical formulas.

the relation above

Substitutes "equation" with "relation" assuming the context involves mathematical relations.

the expression above

Replaces "equation" with "expression" if referring to a more general mathematical expression rather than a strict equation.

FAQs

How can I use "the above equation" in a sentence?

You can use "the above equation" to refer to an equation that has already been presented in a document or text, as in "Solving "the above equation" gives us the value of x."

What is an alternative to "the above equation"?

Alternatives include "the preceding equation", "the previous equation", or referring to the equation by its number, such as "Equation (1)".

Is it better to say "the above equation" or "the previous equation"?

Both phrases are grammatically correct and generally interchangeable. The choice depends on the specific context, but "the previous equation" might be slightly clearer if the equation is immediately before the current statement.

When should I avoid using "the above equation"?

Avoid using "the above equation" when multiple equations are present on the same page or when the referenced equation is far removed from the current text, as this can lead to confusion. In such cases, use a specific identifier such as the equation number.