sufficiently smooth

USAGE SUMMARY

The phrase "sufficiently smooth" is correct and usable in written English.
It can be used to describe a surface or experience that meets a certain level of smoothness or fluidity. Example: "The road was sufficiently smooth for a comfortable drive, allowing us to enjoy the scenic views without any bumps."

✓ Grammatically correct

Science

News & Media

Formal & Business

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Make sure the mash is sufficiently smooth before stirring in the greens.

The Guardian - Lifestyle

Pappus's theorem has been generalized to the case in which the region is allowed to move along any sufficiently smooth (no corners), simple (no self intersection), closed curve.

Encyclopedia Britannica

if is sufficiently smooth.

Journal of Inequalities and Applications

The functions, and are sufficiently smooth.

Advances in Difference Equations

The coefficients, are sufficiently smooth functions of in, where, and,.

Boundary Value Problems

Let be a bounded domain with a sufficiently smooth boundary.

Journal of Inequalities and Applications

Let u ( x ) be a sufficiently smooth function in Ω.

Boundary Value Problems

Assume first that (u x,t)) is sufficiently smooth.

Boundary Value Problems

Theorem 1 Let g ( x ) be sufficiently smooth.

Boundary Value Problems

where is a positive parameter, and is sufficiently smooth function.

Boundary Value Problems

Here, we assume that all coefficients of are sufficiently smooth.

Boundary Value Problems

Expert writing Tips

Best practice

When using "sufficiently smooth" in technical writing, ensure you define or imply the context-specific requirements for smoothness to avoid ambiguity. For example, specify the acceptable range of surface roughness or the degree of continuity required for a mathematical function.

Common error

Avoid using "sufficiently smooth" when a less demanding term like "adequately smooth" would suffice. Overstating the smoothness requirement can lead to unnecessary effort or cost without providing significant benefit.

Linguistic Context

The phrase "sufficiently smooth" acts as an adjective phrase, modifying a noun to indicate that something possesses a degree of smoothness that meets a certain requirement or threshold. Ludwig AI confirms its frequent usage in various contexts.

Expression frequency: Very common

Frequent in

Science

70%

Formal & Business

15%

Encyclopedias

8%

Less common in

News & Media

4%

Reference

2%

Wiki

1%

Ludwig's WRAP-UP

The phrase "sufficiently smooth" is a common and grammatically correct expression, particularly prevalent in scientific and technical writing. As Ludwig AI highlights, its usage implies that a certain level of smoothness is met, which is adequate for the given context. While alternatives like "adequately smooth" exist, the choice depends on the specific nuance required. It's important to define smoothness contextually to avoid ambiguity, and to avoid overstating the required smoothness. The phrase is frequently used in domains such as science, formal business and encyclopedias.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

adequately smooth

Replaces "sufficiently" with "adequately", indicating a satisfactory level of smoothness.

acceptably smooth

Substitutes "sufficiently" with "acceptably", suggesting the smoothness meets a minimum requirement.

reasonably smooth

Uses "reasonably" instead of "sufficiently", implying a moderate degree of smoothness.

smooth enough

Emphasizes the achievement of a required level of smoothness.

suitably smooth

Replaces "sufficiently" with "suitably", highlighting appropriateness for a specific purpose.

appropriately smooth

Similar to "suitably smooth", but with a stronger emphasis on correctness.

smooth to the required extent

More explicitly states that the smoothness meets a certain standard.

possessing adequate smoothness

Rephrases the concept using a more descriptive and formal tone.

with adequate surface finish

Focuses on surface finish, which implies a certain level of smoothness.

having the necessary smoothness

Highlights that the smoothness is essential for a specific need.

FAQs

How is "sufficiently smooth" typically used in a sentence?

The phrase "sufficiently smooth" is often used in technical and scientific contexts to describe surfaces, curves, or functions that meet a certain level of smoothness required for a particular application or theorem. For example, "The surface must be sufficiently smooth to prevent friction" or "The function is sufficiently smooth for the theorem to apply."

What are some alternatives to "sufficiently smooth"?

Depending on the context, you could use alternatives like "adequately smooth", "acceptably smooth", "reasonably smooth", or "smooth enough". The best choice depends on the specific nuance you want to convey.

In what situations is the term "sufficiently smooth" most appropriate?

The term "sufficiently smooth" is most appropriate in formal and technical contexts, such as mathematical proofs, engineering specifications, or scientific research papers, where a precise level of smoothness is required. It indicates that the smoothness meets the minimum requirements for the intended purpose.

What does it mean for a function to be "sufficiently smooth" in mathematics?

In mathematics, a "sufficiently smooth" function has enough continuous derivatives for a particular purpose or theorem to hold. The exact number of derivatives required depends on the context. For instance, some theorems require a function to be at least twice differentiable, while others may require infinitely differentiable functions.