a minimal point

USAGE SUMMARY

The phrase "a minimal point" is correct and usable in written English.
It can be used to refer to a point that is basic, essential, or stripped down to its most fundamental aspect. Example: "In our discussion, we should focus on a minimal point to avoid overcomplicating the issue."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

15 human-written examples

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

Journal of Inequalities and Applications

From Theorems 2 and 4, we know that (X, ≼) has a minimal point.

Fixed Point Theory and Applications

Let x* be a minimal point of (X, ≼), then Tx* ≼ x*.

Fixed Point Theory and Applications

(2.3) Some numerical simulations suggest that (L^) as the function of d has a minimal point (see Figure 1).

Advances in Difference Equations

If (H6) and (H7) hold, and (H4) or (H5) is satisfied, then (X, ≼) has a minimal point.

Fixed Point Theory and Applications

Since ((bar{x},bar{y} )) is a minimal point in (W_{0}), it follows that (u=bar{x}), and thus (Tbar{x}= { bar{x} } ), which completes the proof.

Fixed Point Theory and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

A point is called a vector minimal point of if for any,.

Fixed Point Theory and Applications

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

Journal of Inequalities and Applications

Since is weakly closed, it follows from Lemma 3.13 that has a weakly minimal point such that for all.

Journal of Inequalities and Applications

In (a), the luminance decreases from the teeth to lower lips which corresponds to a local minimal point in the right figure.

EURASIP Journal on Image and Video Processing

In Fig. 7a, one can see that luminance decrease from the teeth to lower lips corresponds to a local minimal point.

EURASIP Journal on Image and Video Processing

Expert writing Tips

Best practice

When using "a minimal point", ensure the context clearly indicates what aspects are being reduced or simplified. This is especially useful in technical discussions to focus on core principles.

Common error

Avoid using "a minimal point" in casual conversation or overly simplistic scenarios. Its technical connotation might sound stilted or inappropriate. Opt for simpler alternatives like "a basic idea" or "a simple concept".

Linguistic Context

The phrase "a minimal point" primarily functions as a noun phrase. It often serves as a subject or object in a sentence, identifying a specific aspect that is reduced to its most essential form. As shown in Ludwig, it's frequently used in academic and scientific contexts.

Expression frequency: Uncommon

Frequent in

Science

60%

News & Media

20%

Formal & Business

10%

Less common in

Encyclopedias

10%

Academia

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "a minimal point" is a noun phrase often used in formal and scientific contexts to highlight a fundamental aspect of a subject. According to Ludwig, its primary function is to emphasize the essential nature of a particular element, simplifying complex topics by focusing on their core principles. While grammatically sound, it is most effective in technical discussions and less appropriate for casual conversation. Alternatives such as ""a basic point"" or ""an essential point"" can be more suitable in less formal settings.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a basic point

Replaces "minimal" with "basic", suggesting a point that is fundamental or foundational.

an essential point

Substitutes "minimal" with "essential", highlighting the necessity or importance of the point.

a fundamental aspect

Shifts the focus to an aspect that is foundational and crucial.

a core element

Replaces "point" with "element", emphasizing that it's a component of something larger.

a bottom line

Refers to the most important or essential consideration.

a necessary condition

Highlights the requirement of the point for a specific outcome.

a starting point

Suggests a point used as a basis for initiation or beginning.

a key consideration

Emphasizes the importance of the point in decision-making.

a bare minimum

Focuses on the least amount or requirement.

a reduced element

Emphasizes that it's been streamlined to its simplest form.

FAQs

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

Use "a minimal point" to refer to a fundamental or essential aspect of something, particularly in technical or formal contexts. For example: "The discussion focused on a minimal point to ensure clarity".

What are some alternatives to "a minimal point"?

You can use alternatives like "a basic point", "an essential point", or "a core element" depending on the context.

In what situations is it best to use "a minimal point"?

It's best to use "a minimal point" in contexts where you want to emphasize the simplicity or reduction of something to its most essential component, such as in scientific explanations, mathematical proofs, or logical arguments.

What is the difference between "a minimal point" and "a starting point"?

"A minimal point" refers to an essential aspect, while "a starting point" suggests a place to begin. They aren't interchangeable; "a minimal point" identifies a core element, while "a starting point" indicates initiation.