bound for the function

USAGE SUMMARY

The phrase "bound for the function" is correct and usable in written English.
It can be used to indicate that something is destined or intended for a specific function or purpose. Example: "The new software update is bound for the function of improving system performance."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

Letting t → ∞ we have a negative upper bound for the function z and large t.

Boundary Value Problems

In Theorem 2.2, if we change the conditions for ω, then we can obtain another bound for the function u ( t ), which is shown in the following theorem.

Journal of Inequalities and Applications

In Theorem 2.1, if we change the conditions for a, b, ω p; then, we can obtain another bound for the function u(t).

Journal of Inequalities and Applications

Now, in order to obtain the estimate (4.2), we have to provide a lower bound for the function h k in terms of the data f.

Boundary Value Problems

where 0 < α < 1, the functions u, g, h are nonnegative continuous functions defined on t ≥ 0, and T ≥ 0 is a constant, p, q are constants with p ≥ q > 0. The following lemma is useful in deriving explicit bound for the function u ( t ) in (7).

Journal of Inequalities and Applications

We observe that by Theorem 1.1 we obtain an upper bound for the function,.

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

A sufficient coefficient bound for the functions in (mathcal {H}^{lambda }(A,B)) is provided in the following.

Journal of Inequalities and Applications

Proof of Theorem 1.3 At the beginning of the proof, we first give an upper bound and a lower bound for the indicator function of R / S statistic.

Journal of Inequalities and Applications

In this paper we derive a canonical lower bound for the autocovariance function of any unbiased transfer-function estimator.

IFAC Proceedings Volumes

We address nonconvex bilinear problems where the main objective is the computation of a tight lower bound for the objective function to be minimized.

Computers & Chemical Engineering

In the following we will determine a lower rational bound for the sine function.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using "bound for the function", ensure the context clearly defines the function or purpose being referenced to avoid ambiguity.

Common error

Avoid using "bound for the function" in casual conversation. It often sounds stilted in informal contexts, where simpler terms like "intended" or "meant for" would be more appropriate.

Linguistic Context

The phrase "bound for the function" acts as a prepositional phrase that modifies a noun or pronoun, indicating the intended purpose or destination. As Ludwig AI confirms, the phrase is usable in English.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "bound for the function" is a grammatically correct expression that signifies something is destined or intended for a particular purpose. While Ludwig AI validates its usability, its usage leans towards formal, scientific, and technical contexts. Alternative phrases like "destined for the function" or ""intended for the function"" may offer more clarity or fit different tones. When incorporating "bound for the function" in writing, ensure that the purpose is clearly defined to avoid ambiguity, and be mindful of maintaining an appropriate level of formality.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

destined for the function

Replaces "bound" with "destined", emphasizing predetermination.

intended for the function

Substitutes "bound" with "intended", highlighting purpose.

meant for the function

Uses "meant" instead of "bound", indicating suitability or design.

necessary for the function

Replaces "bound" with "necessary", stressing requirement.

required for the function

Similar to "necessary", but with a slightly more formal tone.

designed for the function

Emphasizes the deliberate creation for a specific purpose.

essential for the function

Highlights the critical importance to the function's operation.

vital for the function

Similar to "essential", but with a stronger sense of indispensability.

conducive to the function

Suggests a facilitating or favorable relationship to the function.

effective for the function

Focuses on the successful performance of the function.

FAQs

How can I use "bound for the function" in a sentence?

Use "bound for the function" to indicate that something is destined or intended to perform a particular task or serve a specific purpose. For example, "This algorithm is "intended for the function" of data analysis".

What's a simpler alternative to "bound for the function"?

Consider using phrases like "meant for the function", ""intended for the function"", or "designed for the function" if you need to communicate the same idea in a less formal way.

Is it better to say "destined for the function" or "bound for the function"?

Both "destined for the function" and "bound for the function" are grammatically correct, but "destined" emphasizes a sense of predetermination or inevitability, while "bound" simply indicates intention or obligation.

What does "bound" mean in the context of "bound for the function"?

In the phrase "bound for the function", "bound" means 'destined', 'intended', or 'required'. It suggests a necessary connection or purpose related to the function being described.