there corresponds a

USAGE SUMMARY

The phrase "there corresponds a" is grammatically correct and can be used in written English.
It is used to indicate a correspondence or relationship between two things. Examples: 1. "For every point on the graph, there corresponds a specific value on the x-axis." 2. "In the poem, there corresponds a recurring motif of loss and longing." 3. "For each question, there corresponds a right and wrong answer." 4. "As I sifted through the data, I noticed that there corresponds a trend towards increased sales in the last quarter."

✓ Grammatically correct

Science

Encyclopedias

Academia

Human-verified examples from authoritative sources

Exact Expressions

45 human-written examples

Our criterion yields examples illustrating pathology and also shows that to each equivalence class of idempotents there corresponds a "dimension function" from β × β into N ∪.

Journal of Functional Analysis

Generalising this idea we say that to every subset A of a system's phase space there corresponds a property PA so that the system possesses that property at time t iff the system's state x is in A at t.

SEP

That is, the key to his program is that for every word in the dictionary and every sentence in the language there corresponds a unique predicate that is true of just the tokens of that word/that sentence.

SEP

Formations are contents that enter into consciousness through carrying out specific functions in the sense that to every class and subclass of acts there corresponds a certain content specific to each and every act.

SEP

We say that a semi-inner-product is defined on, if to any there corresponds a real number denoted by satisfying the following properties: (s1) for, (s2) for, and, (s3) for, (s4).

Fixed Point Theory and Applications

To each of these stochastic processes there corresponds a probability function, each of which, in turn, has a natural interpretation within the framework of Bayesian inference.

F1000Research

Human-verified similar examples from authoritative sources

Similar Expressions

15 human-written examples

To each value of x there correspond a finite number of values of y.

Encyclopedia Britannica

It is known that to every Mersenne prime there corresponds an even perfect number and vice versa.

Britannica

there corresponds an -tuple such that (22).

Advances in Difference Equations

Hence, there corresponds an with satisfying.

Advances in Difference Equations

Thus, to each initial segment of the series of ordinals, there corresponds an immediately greater ordinal.

SEP

Expert writing Tips

Best practice

Use "there corresponds a" to clearly establish a direct relationship or mapping between two distinct elements. It's effective in technical writing and mathematical contexts where precision is crucial.

Common error

Avoid using "there corresponds a" in informal or conversational writing. Opt for simpler alternatives like "is related to" or "is associated with" to maintain a natural tone.

Linguistic Context

The phrase "there corresponds a" functions as an existential marker, indicating that for a given element, there exists another related element. Ludwig AI confirms this usage through numerous examples demonstrating a clear relationship or mapping.

Expression frequency: Common

Frequent in

Science

75%

Encyclopedias

15%

Academia

10%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "there corresponds a" is a grammatically correct and useful expression for establishing a clear relationship between two entities, as verified by Ludwig AI. It is most commonly found in formal contexts such as science, encyclopedias, and academia. When writing, use "there corresponds a" to clearly define a mapping or association, but be mindful of its formality and consider using alternatives like "is related to" or "is associated with" in more informal settings. Remember to use "there corresponds a" for singular items, and "there correspond" for plural items.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

is in correspondence with

More formal and explicitly states a correspondence.

relates to

Indicates a general relationship between two things.

is associated with

Replaces the structural correspondence with a direct association.

is linked to

Similar to "associated with", but emphasizes a link or relationship.

a connection exists

Changes the structure to a more direct statement about the existence of a connection.

maps to

Implies a direct mapping or transformation from one element to another.

is correlated with

Specifically implies a statistical correlation.

it implies

Focuses on the implication or consequence of something.

it entails

Indicates a necessary consequence or condition.

one finds a relationship

Shifts the focus to the discovery of a relationship.

FAQs

How can I use "there corresponds a" in a sentence?

Use "there corresponds a" to show a direct relationship or mapping between two elements. For example, "To each input, "there corresponds a" unique output".

What are some alternatives to "there corresponds a"?

Depending on the context, consider alternatives like "is associated with", "is related to", or "maps to" to convey a similar meaning. "is associated with" offers a less formal option.

Is it better to say "there corresponds a" or "there correspond"?

"There corresponds a" is used when referring to a singular item. For plural items, use "there correspond". For example, "To each category, "there corresponds a" specific set of rules," versus "To these categories, there correspond several sets of rules."

What's the difference between "there corresponds a" and "is related to"?

"There corresponds a" indicates a more direct and often mathematical mapping, while "is related to" suggests a broader, less defined connection. The phrase "is related to" is more versatile.