following relation

USAGE SUMMARY

This phrase is grammatically correct and can be used in written English.
It is commonly used in formal or technical writing. Example: The following relation shows the correlation between income level and educational attainment among adults in the United States.

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Regression analysis showed initial internal adsorption rate with dye concentration followed by the following relation.

Applied Water Science

This is related to the Young's modulus through the following relation: (9).

Geochemical Transactions

As a side rule, the following relation for the gas hold-up has been obtained:.

Chemical Engineering Science

(1.1) and (2.1) satisfy the following relation.

Advances in Difference Equations

Consider the following relation on : (2.25).

Fixed Point Theory and Applications

Thus, the following relation holds: (E.1).

EURASIP Journal on Advances in Signal Processing

It is estimated by following relation: (1).

EURASIP Journal on Advances in Signal Processing

The following relation between and holds.

Journal of Inequalities and Applications

Then the following relation holds: (2.14).

Journal of Inequalities and Applications

Complementary function has the following relation with function: (23).

EURASIP Journal on Advances in Signal Processing

So, the following relation should be satisfied: (34).

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

In scientific or technical writing, use "following relation" to introduce equations, formulas, or dependencies that build upon previously established concepts. This helps maintain a logical flow of information.

Common error

Avoid using "following relation" without clearly defining the elements being related. Ambiguity can arise if the context doesn't immediately clarify the connection, leading to confusion. Always specify what entities are connected and how.

Linguistic Context

The phrase "following relation" functions as a transitional phrase, often used in mathematical or scientific contexts to introduce a formula, equation, or connection that builds upon previously mentioned information. Ludwig examples show it commonly precedes a specific equation or statement.

Expression frequency: Common

Frequent in

Science

95%

Formal & Business

3%

News & Media

2%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "following relation" is a common and grammatically correct phrase, according to Ludwig AI, primarily used in formal and scientific writing to introduce a connection, equation, or dependency. While versatile, it's essential to ensure the context clearly defines the relationship to avoid ambiguity. Alternatives like "ensuing connection" or "subsequent correlation" can provide subtle variations in meaning. Remember to specify exactly what is being related and how.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

ensuing connection

Replaces "following" with "ensuing" and "relation" with "connection", altering the specific vocabulary while maintaining the core meaning of a sequential link.

subsequent correlation

Substitutes "following" for "subsequent" and "relation" for "correlation", implying a statistical or causal dependence.

resulting association

Changes "following" to "resulting" and "relation" to "association", emphasizing that the connection is a consequence of something else.

corresponding link

Replaces "following" with "corresponding" and "relation" with "link", focusing on a direct correspondence between two items.

accompanying dependency

Changes "following" to "accompanying" and "relation" to "dependency", highlighting a relationship where one thing relies on another.

attendant linkage

Replaces "following" with "attendant" and "relation" with "linkage", suggesting that the relationship is a natural consequence or accompaniment.

related dependence

Focuses specifically on the dependence aspect of the relationship.

relevant interconnectedness

Emphasizes the interconnected nature of the elements and their relevance to each other.

pertinent correlation

Highlights the relevance of the correlation in the context.

associated correspondence

Suggests a correspondence that is linked or connected in some way.

FAQs

How can I use "following relation" in a sentence?

You can use "following relation" to introduce a formula, a connection or any kind of link between two different entities. For example: "The boundary condition of (4.1) leads to the "following relation" between unknown functions: (4.10)".

What's a good substitute for "following relation"?

Alternatives include "ensuing connection", "subsequent correlation", or "resulting association", depending on the specific nuance you want to convey.

Is it appropriate to use "following relation" in formal writing?

Yes, "following relation" is appropriate for formal writing, especially in scientific, technical, or academic contexts. It clearly indicates that a connection or equation will be presented.

What is the difference between "following relation" and "/s/accompanying+relation"?

While both phrases indicate a connection, "following relation" often implies a sequence or logical progression, whereas "accompanying relation" suggests that the connection exists simultaneously or as a supplement.