functions to prove

USAGE SUMMARY

The phrase "functions to prove" is correct and usable in written English.
It can be used when describing the purpose or role of something in demonstrating or establishing a point or argument. Example: "The experiment functions to prove the hypothesis that increased temperature affects reaction rates."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

In this paper, we consider certain families of functions to prove log-convexity and exponential convexity of functionals due to the differences in inequalities given in Theorems 1.4-1.13.

Journal of Inequalities and Applications

All of the strategies are applied to a set of 30/100-dimensional benchmark functions to prove their superiority over several genetic algorithms.

Applied Mathematics and Computation

Some authors have presented Lyapunov functions to prove the stability of fractional-order systems [28, 29].

Advances in Difference Equations

We will construct some suitable Lyapunov functions to prove the global exponential stability of this periodic solution.

Advances in Difference Equations

Under the above assumptions, we apply majorizing functions to prove the semilocal convergence of the method (3) to solve nonlinear equations in Banach spaces and establish its convergence theorems in [21].

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

Flattening of power inside the reactor core of Bushehr nuclear power plant WWER-10000 type) is chosen as an objective function to prove the validity of algorithms.

Nuclear Engineering and Design

Wang [31] used a Lyapunov function to prove the global stability of the positive steady state.

Advances in Difference Equations

Initially, the idea was to serve interactive ads that would replace the captcha function to prove that a person was actually present and engaging on a website.

TechCrunch

In the following, we use the Lyapunov function to prove the globally asymptotically stability of (P_{0}^).

Advances in Difference Equations

As is well known, it is difficult to find a suitable Lyapunov candidate function to prove the stability of fractional systems.

Advances in Difference Equations

Hu et al. [29] considered an integer-order derivative instead of the fractional-order derivative of a Lyapunov function to prove the revised Lyapunov stability theorems.

Advances in Difference Equations

Expert writing Tips

Best practice

Use "functions to prove" to clearly state the purpose of a process, experiment, or design when the intention is to provide evidence or validate a hypothesis.

Common error

Avoid using "functions to prove" when the outcome is not a definitive proof but rather suggestive evidence. Use milder terms like "suggests" or "indicates" in such cases.

Linguistic Context

The phrase "functions to prove" acts as a purpose connector, indicating the intended outcome or role of something. It clarifies the reason why a particular function or process is in place. As Ludwig AI confirms, it’s a usable expression in written English. The examples in Ludwig showcase its use in academic and scientific contexts.

Expression frequency: Uncommon

Frequent in

Science

70%

News & Media

15%

Formal & Business

15%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "functions to prove" serves as a purpose connector. As Ludwig AI has showed, it indicates the intention of a process or function to demonstrate or validate a specific claim. While grammatically correct and usable, it is most common in scientific and formal contexts. When using "functions to prove", it's important to ensure that the strength of the evidence matches the assertiveness of the phrase. Be mindful of context and consider milder alternatives like "aims to show" or "provides evidence for" when appropriate. The phrase is used in various authoritative sources, but is not as frequent as other expressions with similar meanings. Remember to use "functions to prove" when there is intent to provide definitive evidence.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

serves to demonstrate

Replaces "functions" with "serves", focusing on the action of demonstrating.

acts to establish

Emphasizes the role of establishing a fact or principle rather than simply proving it.

is designed to prove

Highlights the intentional design or purpose behind the function.

is intended to demonstrate

Similar to 'is designed to prove', but focuses on demonstration rather than proof.

aims to validate

Replaces 'prove' with 'validate', suggesting a confirmation of something already believed to be true.

works to verify

Focuses on the verification aspect, implying a check for accuracy.

helps to confirm

Indicates assistance in confirming a hypothesis or idea.

contributes to proving

Suggests that the function is one of several factors that prove a concept.

provides evidence for

Shifts the focus to providing supporting evidence rather than absolute proof.

lends credence to

Suggests that the function adds credibility or believability to a claim.

FAQs

How can I use "functions to prove" in a sentence?

You can use "functions to prove" to describe the intended purpose of something to demonstrate or validate a specific point. For example, "The experiment "functions to prove" the effectiveness of the new drug."

What are some alternatives to "functions to prove"?

Alternatives include "serves to demonstrate", "acts to establish", or "is designed to prove". Each alternative offers a slightly different nuance while conveying a similar meaning.

Is it appropriate to use "functions to prove" in formal writing?

Yes, "functions to prove" is appropriate for formal writing, especially in scientific or academic contexts where demonstrating or validating a hypothesis is crucial. However, ensure the context warrants such strong wording; less certain contexts might benefit from alternatives such as "provides evidence for".

How does "functions to prove" differ from "aims to show"?

"Functions to prove" suggests a more rigorous validation or demonstration, whereas "aims to show" implies a less formal presentation of evidence. While both describe intent, "functions to prove" carries a stronger connotation of conclusive evidence.