the previous equation

USAGE SUMMARY

The phrase "the previous equation" is correct and usable in written English.
It can be used when referring back to an equation that was mentioned earlier in the text or discussion. Example: "To solve for x, we can use the previous equation to substitute the value of y."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Parameters of the previous equation are adjusted.

Polymer

Since zV = 1/2mv 2, substitution in the previous equation will give m/z = B2r2/2V.

Britannica

Results show that the self-similarity of the 3D bone volumes and that of their projections are linked by the previous equation.

Medical Image Analysis

The design sensitivity index was derived to be proportional to the response energy at the measured point through reformulation of the previous equation for the sensitivity index.

Journal of Sound and Vibration

In the previous equation, u t, ·) is the density of μt, the lax of Xt, and H represents the Hilbert transform in the space variable.

Journal of Functional Analysis

Switching and in the previous equation, (2.10).

Journal of Inequalities and Applications

Figure 4 plots the results of the previous equation.

Latin American Economic Review

Then integrating the previous equation, we have (3.15).

Advances in Difference Equations

We have ignored it in the previous equation.

Nanoscale Research Letters

By (2.1) with, the previous equation implies that (2.11).

Journal of Inequalities and Applications

Then, the previous equation can be approximated by (13).

EURASIP Journal on Audio, Speech, and Music Processing

Expert writing Tips

Best practice

When referring to an equation, ensure the context makes it clear which equation you are referencing. If there's any ambiguity, use the equation number or a brief description to avoid confusion.

Common error

Avoid using "the previous equation" if multiple equations have been introduced recently without clear labels or distinguishing features. This can create confusion and force the reader to search for the intended equation.

Linguistic Context

The phrase "the previous equation" functions as a determiner phrase, specifically identifying a particular equation that has been introduced earlier in a text. Based on Ludwig AI, this phrase is grammatically correct and frequently used in technical writing.

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 previous equation" is a grammatically sound and frequently employed phrase, primarily within scientific and technical writing. Its main function is to refer back to an equation that has already been presented, ensuring conciseness and clarity. Ludwig AI confirms the appropriateness of this phrase, particularly within the context of academic and scientific discourse. While alternatives such as "the above equation" or direct equation numbering exist, the phrase remains a common and effective choice. Ensure to avoid ambiguity by clearly numbering equations or providing sufficient contextual cues when using it.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the above equation

Replaces "previous" with "above", indicating the equation appeared earlier in the text.

the equation above

Similar to "the above equation" but with a slight shift in word order.

the prior equation

Substitutes "previous" with "prior", implying an equation immediately preceding the current one.

the preceding equation

Replaces "previous" with "preceding", suggesting the equation directly before the current one.

the immediately preceding equation

Modifies "preceding" by "immediately" to be more specific.

the former equation

Uses "former" to refer to the first of two equations discussed.

the earlier equation

Employs "earlier" to indicate the equation appeared at an earlier point in the text.

the equation mentioned previously

Adds "mentioned previously" for emphasis, clarifying the reference.

as shown in equation (x)

Clearly indicates that the equation (x) was previously shown.

equation (x)

Uses a direct reference to the equation number, offering a more precise identification.

FAQs

How do I properly refer to an equation I mentioned earlier in my text?

You can use the phrase "the previous equation". Alternatives include "the above equation", "the prior equation", or if numbered, refer to "equation (x)" directly.

Is it acceptable to use "the previous equation" in formal writing?

Yes, "the previous equation" is acceptable in formal writing, especially in scientific and mathematical contexts. Ensure clarity by numbering equations or providing enough context.

What are some alternatives to "the previous equation" if I want to vary my writing?

Consider using phrases like "the earlier equation", "the preceding equation", or directly referencing the equation number, such as "equation (2)".

When should I use an equation number instead of saying "the previous equation"?

Use an equation number when there's a possibility of ambiguity or when referring to an equation that isn't immediately preceding the current statement. This provides a more precise reference.