based on this relation

USAGE SUMMARY

The phrase "based on this relation" is correct and usable in written English.
You can use it when referring to conclusions or statements that are derived from a specific relationship or connection between concepts or data. Example: "The results of the experiment were analyzed based on this relation, leading to significant findings."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

21 human-written examples

Based on this relation, the most stable configurations would have negative adsorption energies.

Journal of Nanostructure in Chemistry

Based on this relation, the concept of critical heat balance error is proposed.

Applied Thermal Engineering

Based on this relation, a reactor performance criterion, called reaction effectiveness, is defined.

Energy

Consequently, an empirical equation was proposed based on this relation to predict the hourly production flux.

Desalination

Simplified analysis models of seesaw energy dissipation system are developed based on this relation.

Engineering Structures

Based on this relation, the diversion mechanism in the horizontal section will be evaluated using two scenarios.

Journal of Petroleum Exploration and Production Technology

Human-verified similar examples from authoritative sources

Similar Expressions

39 human-written examples

Hiramatsu et al. (2010) proposed a formula to estimate the spatial variation in the stressing rate based on this proportional relation as follows: Figure 7 Relation between differential strain rate and normalized time delay.

Earth, Planets and Space

Based on this order relation, a generalized stochastic order has been introduced in [18].

Journal of Inequalities and Applications

Based on this equivalence relation, the possibility-constrained optimal transportation plan can be obtained and then the solution of the budget-constrained model can be approximated.

Applied Mathematical Modelling

This approach is based on the relation between any time function and its s-domain poles and zeros.

Digital Control Engineering Analysis and Design

This method is based on the relation between the modes of H.264/AVC, the base layer of SVC, and the enhancement layers of SVC.

EURASIP Journal on Advances in Signal Processing

Expert writing Tips

Best practice

When using "based on this relation", ensure the relationship you are referring to is clearly defined and understood by your audience to avoid ambiguity.

Common error

Avoid using "based on this relation" without explicitly stating or clearly implying what the "relation" is. Provide context or a specific reference to ensure clarity for the reader.

Linguistic Context

The phrase "based on this relation" functions as a prepositional phrase that introduces a statement or conclusion derived from a previously established connection. As Ludwig AI confirms, it's grammatically correct and serves to link ideas logically. The examples show its use in scientific and technical writing.

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 "based on this relation" is a grammatically sound and commonly used phrase, primarily found in scientific and formal writing. As Ludwig AI highlights, it effectively introduces statements derived from previously established relationships. To ensure clarity, it's crucial to explicitly define the relationship being referenced. While the phrase is suitable for formal contexts, alternatives like "according to this relationship" or "in light of this connection" "in light of this connection" can offer stylistic variations.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

according to this relationship

Emphasizes adherence to a specific, defined connection.

in light of this connection

Highlights that understanding of the relationship informs a perspective.

considering this correlation

Focuses on a statistical dependence between variables.

given this dependency

Stresses reliance on a specific condition or factor.

following this association

Highlights the sequential nature of the derivation.

stemming from this link

Emphasizes the origin or cause of a conclusion.

as a result of this relation

Directly indicates a cause-and-effect relationship.

deriving from this connection

Highlights the process of obtaining something from the relationship.

predicated on this relationship

Emphasizes that something is founded or based on the relationship.

grounded in this relation

Highlights the foundational aspect of the relationship.

FAQs

How can I use "based on this relation" in a sentence?

Use "based on this relation" to introduce a conclusion, method, or analysis that logically follows from a previously stated or understood connection. For instance, "Based on this relation, we can infer..."

What are some alternatives to "based on this relation"?

You can use alternatives like "according to this relationship", "in light of this connection", or "stemming from this link" depending on the specific context.

Is there a difference between "based on this relation" and "due to this relation"?

"Based on this relation" implies a logical derivation or inference, while "due to this relation" suggests a direct causal effect. Use "based on" when the connection is inferential and "due to" when it's causal.

Can "based on this relation" be used in formal and informal writing?

While grammatically correct for both, "based on this relation" is more suitable for formal and academic writing due to its precise and analytical tone. Simpler phrases might be preferred in informal contexts.