a positive ground

USAGE SUMMARY

The phrase "a positive ground" is correct and usable in written English.
It can be used in contexts related to electrical engineering or discussions about grounding in circuits, where it refers to a ground connection that is at a higher potential than the reference ground. Example: "In this circuit design, we will establish a positive ground to ensure proper voltage levels for the components."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

30 human-written examples

We show that, there is some critical value μ0∈ 0,1), such that this system has a positive ground state solution if 0<μ⩽μ0.

Journal of Functional Analysis

We investigate the L1-properties of the intrinsic Markov semigroup associated with a Schrödinger operator on RN which possesses a positive ground state.

Journal of Functional Analysis

Then the system (NLS) has a positive ground state.

Boundary Value Problems

It remains to look for a positive ground state for (NLS).

Boundary Value Problems

Assume that (F1 - F3), then (2.5) admits a positive ground state solution.

Advances in Difference Equations

In [14], He and Zou proved that (1.2) has a positive ground state solution by using the Nehari manifold.

Boundary Value Problems

Human-verified similar examples from authoritative sources

Similar Expressions

30 human-written examples

They proved that (1.4) has a positive ground-state solution.

Boundary Value Problems

Set ({u_{varepsilon}}(x) = {w_{varepsilon}}( x/ {varepsilon} )), ({u_{varepsilon}}) is in fact a positive ground-state solution of (1.1).

Boundary Value Problems

((a_{1})) :  There exist ({lambda^ > 0) and ({varepsilon^ > 0) such that, for each (lambda in[{lambda^,infty)) and (varepsilon in 0,{varepsilon^)), (1.1) possesses a positive ground-state solution ({u_{varepsilon}} in{H^{1}}({mathbb {R}^{3}})).

Boundary Value Problems

Under proper assumptions, we prove that, for (varepsilon > 0) sufficiently small, the above problem has a positive ground-state solution ({u_{varepsilon}}) by using a monotonicity trick and a new version of global compactness lemma.

Boundary Value Problems

There exist ({lambda^ > 0) and ({varepsilon^ > 0) such that, for each (lambda in[{lambda^,infty)) and (varepsilon in 0,{varepsilon^)), (1.1) possesses a positive ground-state solution ({u_{varepsilon}} in{H^{1}}({mathbb {R}^{3}})).

Boundary Value Problems

Expert writing Tips

Best practice

In metaphorical contexts, use "a positive ground" to represent a strong foundation for ideas or actions.

Common error

Avoid using "a positive ground" when a more precise term like "solid foundation" or "firm basis" would better convey your intended meaning in non-technical contexts.

Linguistic Context

The phrase "a positive ground" functions as a noun phrase, typically acting as the subject or object in a sentence. Ludwig examples show it referring both to physical grounding in electrical systems and metaphorical foundations.

Expression frequency: Common

Frequent in

Science

65%

News & Media

20%

Wiki

15%

Less common in

Formal & Business

0%

Academia

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "a positive ground" is a valid and commonly used English phrase. As Ludwig AI confirms, it's grammatically correct and appears in diverse contexts ranging from scientific research to news reports. While frequently found in technical discussions related to electrical engineering, it can also be used metaphorically to describe a stable and supportive foundation. When using the phrase, it's important to consider the context and ensure it aligns with your intended meaning. If writing for a general audience, it may be beneficial to use alternatives like "a solid foundation" for better clarity. It's register varies from Neutral to Formal depending on the subject.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a firm foundation

This alternative shifts the focus from electrical grounding to a metaphorical base or support.

a solid basis

Similar to "a firm foundation", but emphasizes the logical or rational aspect of the base.

a stable footing

Focuses on the security and balance provided by the ground.

a promising start

Focuses on the initial positive aspect of a situation.

an optimistic outlook

This alternative expresses positivity in terms of perspective rather than a literal ground.

a supportive environment

This suggests a context that fosters growth and positivity, rather than a literal 'ground'.

a favorable position

Describes a situation that is advantageous or likely to lead to success.

a constructive atmosphere

Similar to 'supportive environment', but emphasizes active building and improvement.

an encouraging development

Highlights the positive and hopeful nature of an event or situation.

a beneficial influence

Shifts the focus to the positive effect something has.

FAQs

How is "a positive ground" used in electrical engineering?

In electrical engineering, "a positive ground" refers to a grounding system where the reference point is at a higher potential than other parts of the circuit, especially in older or specialized systems.

What's the difference between "a positive ground" and "a negative ground"?

"A positive ground" is a system where the positive terminal of a power source is connected to the ground, while "a negative ground" has the negative terminal connected to the ground. Negative grounding is more common in modern electronics and automotive systems.

Can "a positive ground" be used metaphorically?

Yes, "a positive ground" can be used metaphorically to describe a strong, supportive foundation or basis for something, although alternatives like "a firm foundation" or "a solid basis" are more common.

What are some alternatives to "a positive ground" in non-technical contexts?

In non-technical contexts, consider using alternatives such as "a strong foundation", "a firm basis", or "a supportive environment" to convey the idea of stability and support.