by this relation

USAGE SUMMARY

The phrase "by this relation" is correct and usable in written English.
It can be used to refer to a connection or correlation between two or more things, often in a formal or academic context. Example: "By this relation, we can conclude that the variables are interdependent and influence each other significantly."

✓ Grammatically correct

Science

Academia

Wiki

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

Of particular interest is the relation of polar perpendicular diffusion to particle drifts and how the effectiveness of the termination shock acceleration of galactic and anomalous protons is influenced by this relation.

Advances in Space Research

All his counterparts selected by this relation are golden.

SEP

The block-diagonal structure cannot be explained by this relation among the 30 position.

EPJ Data Science

What Zermelo used, therefore, was the particular relation a ⊆ b of being a subset, and it is important to observe that the chain produced is ordered by this relation.

SEP

(12) By this relation, we have got a Fourier expansion for the Apostol Frobenius Genocchi polynomials, G_{n}^{F} ( x,u,lambda ) = frac{u - 1}{u} biggl( frac{u}{ lambda } biggr) ^{x}n!sum_{k in mathbb{Z}} frac{e^{2 pi ikx}}{ ( 2pi ik - log ( frac{lambda }{u} ) ) ^{n}}.

Advances in Difference Equations

end{aligned} By this relation, (23) and (25), with (l = k + Delta - 1), we have 2eta ge frac{1}{2}sum_{i = k}^{k + Delta - 1} Vert s_{i - 1} Vert > frac{lambda}{2}biglvert kappa_{k,Delta}^{lambda} bigrvert > frac{lambda Delta}{4}.

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

By using this relation, it is possible to predict the degree of surface modification.

Electrochimica Acta

By using this relation, we will give the explicit forms of the Green functions.

Journal of Functional Analysis

Even though there are multiple mechanisms by which this relation can be explained, there is currently little information on the relation between both morbid obesity (BMI > 35 kg/m2) and super obesity (BMI > 50 kg/m2) and the risk for developing renal lithiasis and its possible consequences.

Revista Mexicana de Urología

By using this relation in inequality (26), we get the required result.

Journal of Inequalities and Applications

By combining this relation with the martingale property of the random sequence {I n }, we have begin{array}{*{20}l} P(I_{infty}=0) &= 1- frac{I_{s}}{N} end{array} (17).

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When using "by this relation", clearly define the relation you are referring to. Ensure that the connection or dependence you're highlighting is evident to the reader. Use it to build a logical argument or to explain a phenomenon based on the defined connection.

Common error

Avoid using "by this relation" without a clear, preceding definition of the relation. Ambiguity can confuse the reader and weaken your argument. Always ensure the reader understands which connection you're referencing.

Linguistic Context

The phrase "by this relation" functions as a prepositional phrase that introduces an explanation or deduction based on a previously established connection. As Ludwig AI says, this is grammatically correct. It serves to link an idea or conclusion to a specific relationship.

Expression frequency: Uncommon

Frequent in

Science

70%

Academia

20%

Wiki

10%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, "by this relation" is a grammatically sound phrase used to indicate a logical connection or deduction based on a specific relationship. As Ludwig AI confirms, the phrase is correct. While primarily found in formal and scientific contexts, its correct usage hinges on clearly defining the relationship being referenced. For increased clarity, alternatives like "through this relationship" or "based on this correlation" may be considered, depending on the specific nuance intended. Remember to avoid ambiguity by ensuring the referenced relationship is evident to the reader.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

through this relationship

Replaces "relation" with "relationship", emphasizing a connection between entities.

according to this connection

Substitutes "by" with "according to", focusing on adherence to a specific link or association.

based on this correlation

Replaces "relation" with "correlation", implying a statistical dependence.

in light of this association

Uses "in light of" to indicate consideration of a connection, rather than direct action.

given this dependency

Focuses on the aspect of reliance or dependence as the core of the relationship.

using this link

Highlights the link as an instrument in reaching conclusion.

via this linkage

Expresses the relation as a pathway or means of connection.

considering this interconnection

Implies that the relation is part of a broader set of mutual connections.

applying this dependence

Focuses on using the relation as a rule.

due to this interdependence

Suggests that elements rely on each other mutually within the relation.

FAQs

How can I use "by this relation" in a sentence?

You can use "by this relation" to explain how one factor influences another, like: "By this relation, we can understand the impact of increased investment on economic growth".

What is a good alternative to "by this relation"?

Alternatives include "through this relationship", "according to this connection", or "based on this correlation", depending on the nuance you want to convey.

Is it better to say "by this relation" or "because of this relation"?

"By this relation" indicates a means or method, while "because of this relation" implies a cause-and-effect. The better choice depends on whether you're describing a process or explaining a result.

Can "by this relation" be used in informal writing?

While grammatically correct, "by this relation" is more suited to formal or academic contexts. In informal writing, simpler phrases like "because of this" or "that's why" might be more appropriate.