the equation below

USAGE SUMMARY

"the equation below" is a valid and commonly used phrase in English.
It is generally used to refer to an equation that is written in the same document, just beneath the phrase. For example: "We can analyze the equation below to determine the value of x."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Via the equation below, dielectric constant (k) was able to be extracted from the high-k capacitance.

Nanoscale Research Letters

Validity of the equation below can be shown analogously to [8] M = M ( 0 ) + ∑ n = 1 ∞ λ 2 γ n λ n 2 ( λ 2 − λ n 2 ).

Boundary Value Problems

The models, with the general structure represented by the equation below, include variables selected by stepwise selection at the 5% significance level:.

Emerging Infectious Diseases

Precisely how much tea (10 pints) and how it has been applied (in a spiral pattern) are determined by the equation below the picture.

Independent

accelerations defined by the equation below [23].

Urban Rail Transit

It is given by the equation below.

EURASIP Journal on Advances in Signal Processing

Then, surface coverage was calculated by the equation below.

International Journal of Industrial Chemistry

Equation 1 is expressed by the equation below.

Earth, Planets and Space

The test signal s is proposed in the equation below.

EURASIP Journal on Advances in Signal Processing

The η was calculated from the equation below.

International Journal of Industrial Chemistry

The energy utilization can be expressed as the equation below.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When using "the equation below", ensure the equation is visually clear and immediately follows the phrase to avoid reader confusion.

Common error

Avoid using "the equation below" if the equation is not directly underneath the phrase or is separated by a significant amount of text. This can disrupt the reader's flow and comprehension.

Linguistic Context

The phrase "the equation below" functions as a deictic reference, specifically an anaphoric reference, pointing to a mathematical equation that is presented immediately following the phrase. Ludwig AI confirms this is a common and correct usage.

Expression frequency: Very common

Frequent in

Science

90%

Formal & Business

5%

News & Media

3%

Less common in

Encyclopedias

1%

Wiki

0.5%

Reference

0.5%

Ludwig's WRAP-UP

In summary, "the equation below" is a grammatically sound and very common phrase used to direct the reader's attention to an equation presented immediately after the phrase. It is most frequently found in scientific and formal contexts. Ludwig AI validates its common usage and correctness. When using this phrase, ensure the equation is visually clear and closely follows the reference. Alternatives include "the following equation" or "see equation below", depending on the specific context and desired level of formality.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the following equation

Changes the adjective used to describe the equation, maintaining the same directional context.

the equation stated below

Adds emphasis on the equation having been previously stated or defined.

the formula below

Replaces "equation" with the synonym "formula".

equation shown below

Uses "shown" instead of "equation".

the mathematical expression below

Specifies that the equation is a mathematical expression, adding precision.

the subsequent equation

Highlights the sequence relationship between the text and the equation.

see equation below

Offers a direction to the reader to look at the equation.

as shown in the equation below

Adds context by specifying the means by which the equation is provided.

the equation presented below

Indicates the action of the equation having been presented.

below is the equation

Inverts the sentence structure while preserving the core meaning.

FAQs

How do I correctly use "the equation below" in a sentence?

Place "the equation below" immediately before the equation you are referencing. For example: "To calculate the area, use "the equation below": A = πr²."

What are some alternatives to "the equation below"?

You can use alternatives such as "the following equation", "the equation stated below", or "see equation below".

Is it ever appropriate to use "the equation above" instead of "the equation below"?

Yes, use "the equation above" when referring to an equation that appears directly before the phrase in the text. The choice depends entirely on the equation's placement relative to the reference.

What if the equation is not directly above or below, but elsewhere in the document?

In that case, it's best to use a more specific reference, such as "equation 3 in Section 2" or "see equation 5" on page 10, to avoid ambiguity.