for any relation

USAGE SUMMARY

The phrase "for any relation" is correct and usable in written English.
It can be used in contexts where you are discussing conditions or properties that apply to all types of relationships or connections. Example: "The theorem holds true for any relation defined on the set."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

8 human-written examples

In particular a table containing any nulls is not equal with a natural self-join of itself, meaning that whereas R \bowtie R = R is true for any relation R in relational algebra, a SQL self-join will exclude all rows having a null value anywhere.

Wikipedia

Another 15 cases remain under analysis while 16 cases have been ruled out for any relation to the virus.

The Guardian

AC3: For any relation \(R\) between sets \(A\), \(B\), In other words, every relation contains a function having the same domain.

SEP

The goal of an Open IE system is to obtain the largest number of correct triples (arg1, rel, arg2) for any relation in the text, where arg1 and arg2 are the arguments of the relation and rel is a relation phrase.

Journal of the Brazilian Computer Society

Other documentation for any relation between outcome and achievment of solid fusion has been somewhat controversial.

Acta Orthopaedica

From these we manually selected 301 abstracts that contain gene/proteins or disease terms without looking in detail for any relation term".

F1000Research

Human-verified similar examples from authoritative sources

Similar Expressions

52 human-written examples

On the other hand, the reason for the absence of any relation between the plasma LysoPS and regular aspirin intake remains to be resolved.

Biochimica et Biophysica Acta - Clinical

He returned shaken by the fact that homes of "Hamas members" were deemed legitimate targets for bombing without any relation to the risk they posed to our soldiers in the field.

Independent

It is worth noting that this can be phrased in a way which makes no reference to superclasses: for any class relation R, there is a class relation R′ such that for any x there is x′ with preimage under R′ equal to the preimage of x under R, and distinct elements of the field of R′ have distinct preimages.

SEP

The weak version says that RI has some (in fact, many) true instances but also that there are predicates F such that if x and y are the same F, then, for any equivalence relation, E, whatsoever (whether or not an identity relation), E x,y).

SEP

Kao (2011) does not find any relation for the Taiwanese index futures market over a period from 2008 to 2009.

Business Research

Expert writing Tips

Best practice

When using "for any relation", ensure the context clearly defines what constitutes a 'relation' to avoid ambiguity. Specify the nature of the relationship you are referencing for clarity.

Common error

Avoid using "for any relation" without providing sufficient context. Vague statements can lead to misinterpretations. Instead, specify the type of relation you are discussing to prevent ambiguity.

Linguistic Context

The phrase "for any relation" functions as a prepositional phrase, typically used to introduce a condition or property that applies universally across all possible relationships. Ludwig indicates its proper usage in various contexts, offering confidence in its grammatical correctness.

Expression frequency: Rare

Frequent in

Science

75%

Encyclopedias

13%

News & Media

12%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "for any relation" is a grammatically sound and valid expression primarily used in formal and scientific contexts to indicate that a statement or condition applies universally across all types of relationships. According to Ludwig, its use is appropriate when emphasizing the broad applicability of a rule or principle. While not extremely common, it appears in academic, philosophical, and technical texts. When using this phrase, ensure that the context clearly defines what constitutes a 'relation' to avoid any ambiguity. The phrase’s universality makes it especially useful in mathematical, logical, and theoretical discussions.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

for every relationship

Changes "relation" to "relationship" and "any" to "every", emphasizing individual connections.

for any kind of relationship

Adds "kind of" to specify the breadth of the relationship type covered.

in all relationships

Replaces "for any" with "in all", focusing on encompassing all possible relationships.

in relation to every link

Adds "in relation to", changing the sentence structure while maintaining a similar meaning.

for each correlation

Substitutes "relation" with "correlation", specifying a statistical relationship.

regarding every connection

Uses "regarding" instead of "for", and "connection" for "relation", altering the prepositional structure.

in the context of all associations

Expands the phrase to specify "context" and uses "associations" for "relations", increasing formality.

for all interconnectedness

Replaces "relation" with the more abstract "interconnectedness", and "any" with "all", making it less specific.

concerning all linkages

Uses "concerning" instead of "for" and "linkages" instead of "relations", changing the tone slightly.

with respect to each dependency

Employs "with respect to" and "dependency" to highlight the influence between items.

FAQs

How can I use "for any relation" in a sentence?

Use "for any relation" to indicate that a statement or condition applies universally to all types of relationships. For example, "This property holds true "for any relation" defined on this set".

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

Alternatives include phrases like "for every relationship", "in all relationships", or "regarding every connection", depending on the specific context.

Is it correct to say "for all relations" instead of "for any relation"?

While "for all relations" is grammatically correct, ""for any relation"" is often preferred when discussing a single, unspecified relation that can be of any type. "For all relations" typically implies a consideration of multiple, distinct relationships.

What does "for any relation" mean in the context of mathematics?

In mathematics, ""for any relation"" means that a given property or theorem applies to all possible relationships between mathematical objects, regardless of their specific nature or characteristics.