associated to a theorem

USAGE SUMMARY

The phrase "associated to a theorem" is not correct in standard written English; the correct form is "associated with a theorem." You can use it when discussing relationships or connections between concepts in mathematics or logic.
Example: "The properties of this function are closely associated with the theorem on continuity."

⚠ May contain grammatical issues

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

The relation is associated to a theorem of N. Bouleau and F. Hirsch.

Journal of Functional Analysis

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Furthermore, we determine a necessary and sufficient condition for a Browder type convergence theorem associated to a nonexpansive semigroup on the unit sphere in an infinite-dimensional Hilbert space.

Fixed Point Theory and Applications

An existence theorem and a comparability theorem of the resolvent operator associated to a ( α A, λ ω ) -ANODM set-valued mapping are established.

Fixed Point Theory and Applications

Theorem 2.7 The Opial modulus associated to a Banach space satisfies the following properties: (1) r X is nondecreasing.

Fixed Point Theory and Applications

The purpose of this paper is to prove a strong convergence theorem of an iterative scheme associated to a strongly nonexpansive sequence for finding a common element of the set of equilibrium problems and the set of fixed point problems of a pair of sequences of nonexpansive mappings where one of them is a strongly nonexpansive sequence.

Fixed Point Theory and Applications

We establish strong convergence and Δ-convergence theorems of an iteration scheme associated to a pair of nonexpansive mappings on a nonlinear domain.

Fixed Point Theory and Applications

Operators associated to the Div Curl theorem (in [CLMS]) in the theory of compensated compactness are also characterized.

Journal of Functional Analysis

This implies that the open and bounded set Ω associated to Mawhin's continuation theorem must satisfy (overline {Omega} in{(x_{1}; x_{2})^{top}in X : | x_{1}| _{infty} < M;| x_{2}|_{infty} < 1}).

Boundary Value Problems

However, in this course, we can introduce the delta method, which adds ideas associated to the central limit theorem to the context of propagation of error.

CBE Life Sciences Education

Given a flow, let us define the amount of flow incoming to a node v in V′ as Given a vector associated to f by the flow decomposition theorem, i.e. such that (4) holds, we remark that and that.

Bioinformatics

The MSE associated to the state t obeys Theorem 1.

EURASIP Journal on Advances in Signal Processing

Expert writing Tips

Best practice

Always use the phrase "associated with" instead of "associated to" when describing a relationship or connection between concepts, especially in formal writing.

Common error

Avoid using the preposition "to" with "associated"; the correct preposition is "with". Using "to" is a common grammatical error that can detract from the clarity and professionalism of your writing.

Linguistic Context

The phrase "associated to a theorem" functions as a prepositional phrase attempting to describe a relationship. However, it is grammatically incorrect, as pointed out by Ludwig. The correct form is "associated with a theorem".

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

The phrase "associated to a theorem" is grammatically incorrect. The correct and accepted form is "associated with a theorem". As Ludwig AI highlights, using "to" instead of "with" constitutes a grammatical error. The intended purpose of the phrase is to denote a relationship or connection, typically in formal and scientific contexts. Always remember to use the correct preposition to maintain clarity and credibility in your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

associated with a theorem

Replaces the preposition "to" with the correct preposition "with".

related to a theorem

Substitutes "associated" with the synonym "related".

linked to a theorem

Replaces "associated" with "linked", indicating a connection.

connected to a theorem

Uses "connected" in place of "associated" for a similar meaning.

pertaining to a theorem

Replaces "associated" with "pertaining", indicating relevance.

relevant to a theorem

Uses "relevant" to show a direct relationship to the theorem.

in connection with a theorem

Employs a longer phrase to express the association.

tied to a theorem

Uses "tied" to convey a strong relationship.

in relation to a theorem

Uses "in relation to" to specify the link.

belonging to a theorem

Indicates that something is a property of the theorem.

FAQs

What is the correct way to say "associated to a theorem"?

The correct phrasing is "associated with a theorem". The preposition "with" is the standard and grammatically correct choice.

Can I use "related to a theorem" instead of "associated to a theorem"?

While "related to a theorem" is grammatically sound and conveys a similar meaning, the correct phrase is "associated with a theorem". "Related to" focuses more on a general connection.

What's the difference between "associated to a theorem" and "associated with a theorem"?

"Associated to a theorem" is grammatically incorrect. The correct and widely accepted form is "associated with a theorem". Using "to" in this context is a grammatical error.

When should I use "associated with"?

Use "associated with" to indicate a relationship, connection, or link between two things. For example, "The discovery is associated with a theorem" means there is a connection between the discovery and the theorem.