a positive basis

USAGE SUMMARY

The phrase "a positive basis" is correct and usable in written English.
It can be used when discussing a foundation or starting point that is favorable or beneficial in a particular context. Example: "We need to establish a positive basis for our negotiations to ensure a successful outcome."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

A positive basis for (mathbb {R}^{n}) is a positively independent set whose positive span is (mathbb {R}^{n}).

IPSJ Transactions on Computer Vision and Applications

We suggest that an icon-based approach could serve as a positive basis on which to construct a requirements engineering visual notation that is easily understood and learned.

Journal of Visual Languages & Computing

"It's been a conscious policy of trying to engage with him on a positive basis wherever possible without rising to the rhetorical bait when he pokes us in the eye," said Bernard Aronson, a former assistant secretary of state for Latin America in the previous Bush administration.

The New York Times

A positive basis for (mathbb {R}^{n}) that has n+1 vectors is considered a minimal positive basis and a positive basis that has 2n vectors is considered a maximal positive basis (Fig. 1).

IPSJ Transactions on Computer Vision and Applications

We say that is positive if there is a positive basis of of the form and negative otherwise.

Journal of Inequalities and Applications

In this paper the approximate method similar to the undetermined coefficients method, based on a positive basis for solving second-order fuzzy linear boundary value problems, was discussed.

Boundary Value Problems

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

In addition, funds earning a positive basis-adjusted return (return net of the cost of investment) on the target stock are less likely to support the dissident than a fund earning a negative return.

Harvard University

We continue to work on a very positive basis with federal and state officials.

The New York Times

Badman said: "I have sought in this report to balance the rights of children with the rights of parents and in so doing make recommendations that I am confident will not only aid home educators in their task but provide a new positive basis for working with local authorities".

The Guardian

Here, a maximal positive basis is denoted as D ⊕. Fig. 1 Maximal positive basis (D 1) and minimal positive basis (D 2) in (mathbb {R}^{2}).

IPSJ Transactions on Computer Vision and Applications

Various strategies have been used to try to improve its recognition, including revision of the criteria, providing a more positive basis for recognition, and education and emphasis on the use of one system by all for diagnosis [ 15].

Breast Cancer Research

Expert writing Tips

Best practice

When using "a positive basis", ensure the context clearly indicates what is being supported or founded upon. For example, "a positive basis for future collaboration" is more informative than simply "a positive basis".

Common error

Avoid using "a positive basis" in vague contexts where the specific benefits or advantages are not evident. Instead, provide concrete details to showcase why the basis is considered positive.

Linguistic Context

The phrase "a positive basis" functions primarily as a noun phrase that describes a foundation or starting point. As Ludwig AI indicates, it denotes something favorable or beneficial. It's often used to set the stage for further development or action, providing a supportive context.

Expression frequency: Rare

Frequent in

Science

33%

News & Media

33%

Academia

33%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "a positive basis" is a grammatically correct noun phrase used to describe a favorable or beneficial foundation. Ludwig AI confirms its validity and usability. While relatively rare, its usage spans across Science, News & Media, and Academia. Alternatives such as "a solid foundation" or "a promising groundwork" can provide similar meanings with slight nuances. When employing this phrase, it's crucial to provide context and specific details to avoid vagueness and ensure the positive qualities are clearly understood.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a solid foundation

Emphasizes the strength and reliability of the underlying base.

a favorable platform

Highlights the advantageous nature of the starting point.

a promising groundwork

Focuses on the potential for future success based on the current foundation.

a strong footing

Suggests stability and preparedness for subsequent actions.

a constructive framework

Indicates a well-organized and helpful structure.

a sound premise

Highlights the logical validity and reasonableness of the initial assumption.

an optimistic starting point

Emphasizes a hopeful outlook and initial conditions.

a beneficial infrastructure

Focuses on the supporting systems and resources that contribute to success.

a supportive substructure

Highlights the underlying support system.

an encouraging base

Suggests a foundation that inspires confidence and motivation.

FAQs

How can I use "a positive basis" in a sentence?

You can use "a positive basis" to describe a foundation or starting point that is favorable or beneficial. For example, "We aim to establish "a positive basis" for our negotiations."

What's the difference between "a positive basis" and "a solid foundation"?

"A positive basis" emphasizes the favorable or advantageous nature of the foundation, while "a solid foundation" highlights the strength and reliability of the underlying base.

What can I say instead of "a positive basis"?

Alternatives include "a favorable platform", "a promising groundwork", or "a strong footing", depending on the specific context.

Is "a positive basis" formal or informal?

The phrase "a positive basis" is suitable for both formal and neutral contexts. Its appropriateness depends more on the surrounding language and the specific setting.