for any element

USAGE SUMMARY

The phrase "for any element" is correct and usable in written English.
It can be used in contexts involving mathematics, programming, or logic when discussing properties or conditions that apply to all elements within a set or group. Example: "For any element in the set, the following properties hold true."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

54 human-written examples

The RIA should be able to create the majority of theoretically possible isotopes for any element.

Nature

If the State fails to meet that burden for any element of a crime, this Court is required to find the defendant not guilty of that crime.

The Washington Post

It is demonstrated that the solute profiles for any element can be defined after computation of the eigenvalues and the eigenvectors of the liquid diffusion matrix.

Acta Materialia

It is perhaps worth asking whether the term still exists on the continent given the plight of the current England No1, though with a different meaning for any element of hapless goalkeeping".

The Guardian - Sport

In two years' time something can come up, and it is important for her to look for any element of innuendo, however, because there might be a lawsuit going on against her.

The New York Times - Magazine

The design is based on optimization of load disturbance rejection with constraints on the magnitude of the sensitivity and complementary sensitivity functions, that must be satisfied for any element belonging to a set of plants.

ISA Transactions

Human-verified similar examples from authoritative sources

Similar Expressions

6 human-written examples

Investigators are going to look for any elements that can help them try to find possible suspects".

The Guardian - Music

Generally, T always fulfills the equality 〈T x ,T y)〉="|λ|2〈x,y〉 for any elements x, y of the Hilbert C⁎-module.

Journal of Functional Analysis

for any elements, and distinct odd positive integers.

Journal of Inequalities and Applications

For any elements x, y of a bounded lattice x ⪯ T y : ⇔ T ( ℓ, y ) = x for some  ℓ, where T is a t-norm.

Journal of Inequalities and Applications

(1) A seminorm (p: EtoBbb{R}) is called submultiplicative if (p xy) leq p(x p y)) for any elements x, y in E.   (2) A set (Usubset E) is called multiplicative if (Ucdot Usubset U).  .

Fixed Point Theory and Applications

Expert writing Tips

Best practice

When using "for any element" in technical writing, ensure that the context clearly defines the scope of "element". For instance, specify whether you are referring to elements in a set, array, or other data structure.

Common error

A common mistake is using "for any element" without clearly defining what constitutes an 'element' in the given context. Always ensure the reader understands the set or group to which the elements belong to avoid ambiguity.

Linguistic Context

The phrase "for any element" functions as a universal quantifier, indicating that a statement applies to all members of a specified set or group. Ludwig AI confirms its correctness and broad applicability, especially in technical contexts.

Expression frequency: Common

Frequent in

Science

69%

Academia

13%

News & Media

8%

Less common in

Encyclopedias

4%

Wiki

4%

Formal & Business

2%

Ludwig's WRAP-UP

In summary, "for any element" is a versatile phrase used to denote a universal condition within a specific context, most often within technical, scientific, and academic fields. Ludwig AI analysis confirms its grammatical correctness and widespread use. When incorporating this phrase into your writing, ensure you clearly define the scope of the 'element' to avoid any ambiguity. Consider alternatives like "for each element" or "for every element" to fine-tune the emphasis of your statement. By following these guidelines, you can effectively leverage "for any element" to enhance the clarity and precision of your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

for each element

Emphasizes individual consideration of every element.

for every element

Indicates that a statement applies universally to all elements.

for all elements

Highlights the universality of a condition or property.

in any element

Shifts focus slightly to the inclusion of the condition within an element.

regarding any element

Introduces the element as the topic of consideration.

concerning any element

Similar to "regarding", but may imply a more direct relevance.

with respect to any element

Adds formality and precision to the statement.

in relation to any element

Highlights the relationship or connection being discussed.

with any element

Indicates association or interaction.

considering any element

Places emphasis on the act of considering a particular element.

FAQs

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

Use "for any element" to indicate that a statement applies to every member of a defined set or group. For example, "For any element in the array, apply this function."

What phrases are similar to "for any element"?

Similar phrases include "for each element", "for every element", or "for all elements". The best choice depends on the specific context and desired emphasis.

Is "for any element" formal or informal?

"For any element" is generally considered suitable for formal and technical writing. It's common in mathematical proofs, scientific papers, and programming documentation.

What's the difference between "for any element" and "for some element"?

"For any element" implies that a condition holds true for all elements in a set, whereas "for some element" indicates that the condition only needs to be true for at least one element.