as shown in the equation below

USAGE SUMMARY

The phrase "as shown in the equation below" is correct and usable in written English.
It can be used when referring to a specific equation that is presented in a document or text, indicating that the reader should look at the equation for clarification or further information. Example: "The relationship between the variables can be understood as shown in the equation below."

✓ Grammatically correct

Science

Academia

Encyclopedias

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

On the surface, we would consider 99% to be a relatively high level of accuracy; however, when we do some very simple math (as shown in the equation below), we can see that at such an accuracy rate, the potential for completing a 100-step process 100% correctly is only 37percentt!

Stanford University

Knowing the geometries of the cavity receiver, the heat flux on solar reactor can be calculated as shown in the equation below.

Renewables: Wind, Water, and Solar

Once discovered features are reviewed and engineered, a final set of features consisting of the union of medical expert feature selection and algorithmic feature selection is created (as shown in the equation below).

Journal of Big Data

Total nitrogen of each protein fraction was determined by the automatic Kjeldahl nitrogen analyzer (Kjeltec 2400 Analyzer Unit, Foss Tecator) and protein content was calculated using a conversion factor of 5.95, as shown in the equation below: Protein % = N % × 5.95 (1).

Rice

The distributive normalization requires that the priorities be divided by the square root of the sum of each squared element in a column as shown in the equation below and Table 11: r_{ia} = frac{{x_{ia} }}{{sqrt {mathop sum nolimits_{a = 1}^{n} x_{ia}^{2} } }} quad, {text{for}};a = 1,; ldots, n quad {text{and}}quad i = 1,; ldots, ;m.

Journal of Petroleum Exploration and Production Technology

Since our efficiencies were quite low in some cases, we adapted the Antonov et al method to include primer efficiency as shown in the equation below: e Δ Ct t n + 1 e i Δ Ct i × e i + 1 Δ Ct i + 1 … × e i + n Δ Ct i + n where t represents the test gene, e represents efficiency and i represents the control gene(s).

BMC Genomics

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

This estimate has three main components (Ro, e and f) which are shown in the equation below.

Plosone

This is shown in the equation below.

BMC Medical Research Methodology

Fluorine replaces any other halide ion from its compounds, as shown in the following equations.

Britannica

As shown in the table below, alternatives are usually available.

Harvard University

During the modelling of the system, D is considered as the disease and x n as the findings of disease; which are shown in the equation 1 below.

BMC Medical Informatics and Decision Making

Expert writing Tips

Best practice

When using the phrase "as shown in the equation below", ensure the equation is clearly and immediately visible to the reader to maintain flow and comprehension.

Common error

Don't use "as shown in the equation below" if the equation is not directly below or easily found. This can confuse readers and disrupt their understanding.

Linguistic Context

The phrase "as shown in the equation below" serves as an adjunct or discourse marker. It connects a preceding statement to a mathematical equation, indicating that the equation provides supporting evidence or clarification. Ludwig AI confirms the phrase's usability.

Expression frequency: Common

Frequent in

Science

70%

Academia

20%

Encyclopedias

3%

Less common in

News & Media

2%

Wiki

2%

Formal & Business

1%

Ludwig's WRAP-UP

The phrase "as shown in the equation below" is a grammatically correct and frequently used expression to direct readers to an equation for clarification or support. Ludwig AI confirms its usability across varied sources. Predominantly found in scientific and academic contexts, the phrase effectively links textual explanations with mathematical representations. While alternatives like "see the equation below" exist, "as shown in the equation below" maintains a formal tone suitable for scholarly writing. Remember to place the referenced equation immediately after the phrase for optimal clarity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as demonstrated by the equation below

Replaces "shown" with "demonstrated", emphasizing the equation's role in proving or validating a point.

as illustrated in the equation below

Substitutes "shown" with "illustrated", suggesting the equation clarifies or visually represents a concept.

the equation below demonstrates

Shifts the focus to the equation itself as the active subject, rather than the act of showing.

the following equation shows

Changes the sentence structure and uses "following" to specify the equation's position.

see the equation below

Offers a more direct instruction to the reader to consult the equation.

refer to the equation below

Similar to 'see', but suggests a more formal or specific reference.

the equation below indicates

Replaces "shows" with "indicates", implying the equation points towards or signifies something.

the subsequent equation details

Uses "subsequent" to clarify temporal sequence and "details" to specify the equation's content.

the equation presented below

Adds "presented" to highlight the formal introduction of the equation.

the mathematical relation below

Replaces "equation" with "mathematical relation", broadening the reference.

FAQs

How can I use "as shown in the equation below" in a sentence?

You can use "as shown in the equation below" to direct the reader's attention to a specific equation that supports or clarifies the statement you're making. For example: "The relationship between A and B is quantified, as shown in the equation below."

What is a more concise way to say "as shown in the equation below"?

You could use phrases like "see the equation below" or "refer to the equation below" for a more direct and concise alternative.

Is it correct to say "as shown in the formula below" instead of "as shown in the equation below"?

Yes, "as shown in the formula below" is correct and can be used interchangeably with "as shown in the equation below", especially when the expression is a well-known formula.

What's the difference between "as demonstrated by the equation below" and "as shown in the equation below"?

"As demonstrated by the equation below" emphasizes that the equation proves or validates a point, whereas "as shown in the equation below" is a more general reference to the equation for clarification or further information. You can use "as demonstrated by the equation below" to show an equation validates a point.