minimal point of

USAGE SUMMARY

The phrase "minimal point of" is correct and usable in written English.
It can be used in contexts where you want to refer to the least or smallest aspect of something, often in discussions about analysis, design, or evaluation. Example: "The minimal point of the argument is that we need to prioritize sustainability in our practices."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

24 human-written examples

Now pick the minimal point of this function.

The New York Times

The set of vector minimal point of is denoted by.

Fixed Point Theory and Applications

(i a minimal point of if ; (ii)a weakly minimal point of if ; (iii)a maximal point of if ; (iv a weakly maximal point of if.

Fixed Point Theory and Applications

Here, and denote the sets of weakly minimal point of and weakly maximal point of, respectively.

Journal of Inequalities and Applications

An element is said to be a minimal point resp., weakly minimal point of if resp.,.

Journal of Inequalities and Applications

If satisfies the inclusive condition, then is a weakly minimal point of (i.e., solves (GWMEP) ).

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

34 human-written examples

We denote the set of all minimal points of (GVOP 0 with respect to the cone by, that is,, and denote the set of all minimal points of (GVOP) by (2.19).

Journal of Inequalities and Applications

These notations represent the sets of maximal points, minimal points, weakly maximal points, and weakly minimal points of Ω [13], respectively.

Fixed Point Theory and Applications

The points (x=theta(0)) and (y=theta(l)) are called the end points or the extreme (maximal or minimal) points of the segment.

Fixed Point Theory and Applications

In the optimization problem corresponding to each parameter valued, our aim is to find the set of weakly minimal points of the feasible objective valued set.

Journal of Inequalities and Applications

By the Nehari manifold method, the authors obtained the existence of ground solutions concentrating around the global minimal points of V.

Advances in Difference Equations

Expert writing Tips

Best practice

When using "minimal point of", ensure the context clearly defines what is being minimized. Specify the variable or aspect to which the minimum applies for clarity.

Common error

Avoid using "minimal point of" without a specific reference. Stating that something is at its "minimal point of" without clarifying what 'it' is can lead to ambiguity and confusion. Always specify the subject or variable.

Linguistic Context

The phrase "minimal point of" functions as a noun phrase modifier, specifying the least or smallest value or aspect related to a particular context or subject. It is used to identify a specific point or threshold that represents a minimum value. The Ludwig AI confirms its correct usage.

Expression frequency: Uncommon

Frequent in

Science

70%

News & Media

20%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "minimal point of" is a grammatically sound expression used to denote the smallest or least aspect within a specific context. Predominantly found in scientific and news-related articles, it often identifies a crucial threshold or lower limit. The Ludwig AI confirms the validity of this phrase. When using "minimal point of", ensure clarity by specifying what exactly is being minimized to avoid ambiguity. While versatile, remember that alternatives like "lowest point of" or "minimum level of" can sometimes offer a more precise expression depending on your specific need. Therefore, carefully consider the context to ensure accurate and effective communication using "minimal point of".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

lowest point of

Replaces "minimal" with "lowest", emphasizing the position on a scale.

smallest degree of

Substitutes "point" with "degree", focusing on the extent or level.

minimum level of

Uses "minimum level" to denote the lowest acceptable quantity or standard.

least amount of

Replaces "point" with "amount", highlighting the quantity involved.

base level of

Emphasizes the fundamental or foundational aspect of the minimum.

bottom of

Highlights the lowest physical or metaphorical location.

nadir of

A more formal and literary term for the lowest point.

rock bottom of

Indicates the absolute lowest point, often in a negative context.

weakest aspect of

Focuses on the feeblest or most vulnerable element.

essential minimum of

Highlights the bare essentials or requirements.

FAQs

How can I use "minimal point of" in a sentence?

The phrase "minimal point of" is used to indicate the smallest or least value or aspect of something. For example, "The permanent wilting point (PWP) is the "minimal point of" soil moisture a plant requires not to wilt."

What are some alternatives to "minimal point of"?

You can use alternatives such as "lowest point of", "minimum level of", or "least amount of" depending on the context.

What does "minimal point of overlap" mean?

In genetics, the "minimal point of overlap" often refers to the smallest region of DNA that is common among several deletions or mutations, suggesting the location of a critical gene. For example, "We previously reported MAP2K4 as a candidate tumor suppressor gene [ 18] after SNP array copy number and LOH data from 125 primary ovarian tumors identified four homozygous deletions with a "minimal point of" overlap of just 50 kb, which targeted two genes, MAP2K4 and hsa-mir-744."

Is it appropriate to use "minimal point of" in formal writing?

Yes, "minimal point of" is appropriate for formal writing, especially in scientific and technical contexts where precision is important. However, ensure the context is clear and the term is well-defined.