there exist instances

USAGE SUMMARY

The phrase "there exist instances" is correct and usable in written English.
It can be used in contexts where you want to indicate that specific examples or cases are present or can be found. Example: "In the study, there exist instances where the results contradict previous findings."

✓ Grammatically correct

Science

Formal & Business

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

Since satisfiability of type class constraints is in general undecidable [6], there exist instances of this problem for which our algorithm incorrectly reports unsatisfiability.

Journal of the Brazilian Computer Society

Since type class constraint satisfiability is in general undecidable, there exist instances of this problem for which the algorithm presented in this paper incorrectly reports unsatisfiability.

Journal of the Brazilian Computer Society

Finally, we show that there exist instances of the deliberation bargaining problem where no pure strategy equilibria exist and also instances where the unique equilibrium outcome is not Pareto efficient.

Artificial Intelligence

Proj x, z (P CF F ) ⊈ Proj x, z (P CF R ) : Consider Fig. 5, where υ LP (CF R ) = 28 > 18 = υ LP (CF F ). □ Lemma 9 Formulation GSEC (i.e., CUT F, MCF F ) is strictly stronger than formulation MTZ, i.e. Proj x, z (P MCF F ) ⊆ Proj x, z (P MTZ ) and there exist instances for which the strict inequality holds.

Computers and Operations Research

Proj x, z (P CF F ) ⊈ Proj x, z (P CF R ) : Consider Fig. 5, where υ LP (CF R ) = 28 > 18 = υ LP (CF F ). □ Formulation GSEC (i.e., CUT F, MCF F ) is strictly stronger than formulation MTZ, i.e. Proj x, z (P MCF F ) ⊆ Proj x, z (P MTZ ) and there exist instances for which the strict inequality holds.

Computers and Operations Research

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

Since even for the simpler RCPSP there exist many j120 instances, which are not optimally solved yet, we did not attempt to compute optimal reference values for this set of large instances.

Business Research

Since satisfiability of type class constraints is in general undecidable [18], there exist satisfiable instances which are considered to be unsatisfiable according to the definition of Fig. 8.

Journal of the Brazilian Computer Society

Furthermore, there exist ConFL instances for which the strict inequality holds for each of the " ⊆ " relations given above.

Computers and Operations Research

□ Lemma 8 The following results hold : (a) Proj x, z (P MCF R ) ⊆ Proj x, z (P MCF F ) and (b) Proj x, z (P CF R ) ⊆ Proj x, z (P CF F ). Furthermore, there exist ConFL instances for which the strict inequality holds.

Computers and Operations Research

If and then from Kronecker-Capelli's theorem, see, for instance, [11, 15], there exist infinitely many solutions of the incremental controller gains which make so that the closed-loop stability is guaranteed under with On the other hand, Corollary 3.3 allows obtaining a subsequent direct result under a weaker Condition 2 of Theorem 3.2.

Fixed Point Theory and Applications

Once there exist two instance triples satisfied with the above join condition, such as T 0(H e r b 0, P 0, D i s e a s e 0), T 1(D i s e a s e 0, P 1, D r u g 0), we should add the element (T 0, T 1) to the Join Candidate Set.

BioMed Research International

Expert writing Tips

Best practice

Use "there exist instances" to clearly indicate the presence of specific examples or cases, especially when discussing research findings, problem-solving scenarios, or theoretical possibilities.

Common error

Avoid using "there exist instances" in contexts where simpler alternatives like "there are examples" or "some cases" would be more appropriate. The phrase is best reserved for more formal or technical writing where precision is valued.

Linguistic Context

The phrase "there exist instances" functions as an existential quantifier, asserting that specific examples or cases are present within a given context. Ludwig AI confirms its grammatical correctness and usability. This phrase is often used to introduce evidence or illustrate a point in a formal or academic setting.

Expression frequency: Rare

Frequent in

Science

60%

Formal & Business

20%

News & Media

10%

Less common in

Encyclopedias

10%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "there exist instances" is a grammatically correct and usable expression for indicating the presence of specific examples, particularly in formal, academic, and scientific contexts. As confirmed by Ludwig AI, it serves as an existential quantifier, highlighting concrete occurrences to support a claim or analysis. While it's a valid phrase, simpler alternatives might be more appropriate in less formal settings. Remember, this phrase is most effective when precision and clarity are paramount.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

instances are present

Replaces "exist" with "are present", emphasizing the presence of instances.

instances occur

Changes the verb phrase to a more concise form, focusing on the occurrence of instances.

a number of instances are seen

Uses "a number of" to quantify the instances and "seen" to emphasize observation.

examples are found

Substitutes "instances" with "examples" and uses a passive voice construction.

instances can be observed

Uses a passive construction with "observed", highlighting the possibility of observation.

cases arise

Employs "cases" instead of "instances" and "arise" for "exist", suggesting the emergence of situations.

we find examples

Shifts to an active voice, indicating the act of finding examples.

certain examples are available

Adds "certain" to specify the examples and uses "available" to indicate their accessibility.

some examples manifest

Replaces "exist" with "manifest", implying the appearance of examples.

some instances happen

Replaces "exist" with "happen", focusing on the occurrence of the instances.

FAQs

How can I use "there exist instances" in a sentence?

Use "there exist instances" to introduce specific examples that support a claim or illustrate a point. For example, "In this dataset, "there exist instances" of data corruption that require further investigation."

What can I say instead of "there exist instances"?

You can use alternatives like "examples are found", "cases arise", or "instances occur" depending on the context.

Is it more appropriate to use "there are instances" or "there exist instances"?

While both are grammatically correct, "there exist instances" carries a slightly more formal tone. "There are instances" is generally suitable for everyday language, whereas the former is best used in formal or academic writing.

What is the difference between "there exist instances" and "there exist examples"?

The terms "instances" and "examples" are often interchangeable. Using "there exist examples" might be preferred when referring to something that serves as a representative case, while ""there exist instances"" can highlight the presence of specific occurrences within a larger set.