manifold background

USAGE SUMMARY

The phrase "manifold background" is correct and usable in written English.
It can be used to describe a diverse or varied set of experiences, knowledge, or influences that someone has. Example: "Her manifold background in art, science, and technology allows her to approach problems from unique perspectives."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

[6] As discussed in Mahaffy et al. [2013], the removal of the contribution of the QMS and manifold background signal to the mass channels of interest must be carefully done for each experiment.

Geophysical Research Letters

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

The problem stems from the fact that in preserving the diffeomorphism-invariance of general relativity — depriving the coordinates of the background manifold of any physical meaning — the "slices" of spacetime one is considering inevitably include time, just as they include space.

SEP

There are also generalizations of this result to the Finsler manifolds and manifolds with a Ricci flow background.

Journal of Functional Analysis

They insisted on some pleasures that were formed and reinforced by the manifold variations in their backgrounds and therefore non-negotiable in lifestyle counselling.

BMC Family Practice

The requirements of video analysis techniques are manifold, such as dealing with cluttered background, camera motion, occlusion, and geometric and photometric variability, [1, 4, 5].

EURASIP Journal on Image and Video Processing

The housing is made from an acetal copolymer, which we have found causes minimal background fluorescence, and a manifold in front of the objective admits X-rays, contains a sample illumination and web-cam-based viewing system, and allows other detectors, such as the Vortex, a view of the sample.

Analytical Chemistry

In both enrichment experiments, background scans of the evacuated instrument and manifold were performed prior to the first atmospheric sample ingestion.

Geophysical Research Letters

In this case we would have extreme background independence stretching to the structure of the manifold itself.

SEP

On any closed Riemannian manifold of dimension greater than 7, we construct examples of background physical coefficients for which the Einstein Lichnerowicz equation possesses a non-compact set of positive solutions.

Journal of Functional Analysis

For more details and background information concerning differential geometry and partial differential equations on manifolds the interested reader is referred to [30, 31, 37], and the literature cited there.

Bulletin of Mathematical Sciences

Though Davenport et al.[3] offers theoretical bounds on the number of measurements necessary to preserve distances among different manifolds, it is not clear how the performance scales with K or how to incorporate background models into this setup.

EURASIP Journal on Advances in Signal Processing

Expert writing Tips

Best practice

When describing someone's background, use "manifold background" to emphasize the variety and richness of their experiences. It adds a touch of sophistication to your writing.

Common error

While "manifold background" is a valid phrase, avoid using it in overly casual or informal settings. Simpler alternatives like "diverse background" or "varied experience" might be more appropriate.

Linguistic Context

The phrase "manifold background" functions as an adjective phrase modifying a noun. It emphasizes the diverse and varied nature of the background, suggesting a wide range of experiences or influences. Ludwig AI confirms its usability in written English.

Expression frequency: Rare

Frequent in

Science

33%

News & Media

33%

Encyclopedias

33%

Less common in

Formal & Business

0%

Academia

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "manifold background" is a grammatically sound phrase used to describe a diverse and varied set of experiences or influences. While Ludwig AI confirms its correctness, its frequency is rare. It is best suited for formal to neutral contexts, like scientific and news-related writing, where its sophisticated tone can be appreciated. Consider alternatives like "diverse background" or "varied background" for more casual settings.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

diverse background

Replaces "manifold" with "diverse", indicating variety and difference in background.

varied background

Uses "varied" instead of "manifold", suggesting a range of different experiences or influences.

complex background

Emphasizes the intricate and multifaceted nature of the background.

multifaceted background

Highlights the many different aspects and dimensions of the background.

extensive experience

Focuses on the breadth and depth of practical knowledge and skills.

rich history

Emphasizes the depth and significance of past events and experiences.

wide-ranging knowledge

Highlights the breadth of knowledge across different subjects.

comprehensive understanding

Focuses on a thorough and complete grasp of a subject.

eclectic foundation

Highlights a diverse and unconventional base of experiences.

multiple influences

Focuses on the various sources that have shaped someone or something.

FAQs

How can I use "manifold background" in a sentence?

You can use "manifold background" to describe a person or thing that has a wide variety of experiences or influences. For example, "Her manifold background in art, science, and technology allows her to approach problems from unique perspectives."

What is a good substitute for "manifold background"?

Alternatives include "diverse background", "varied background", or "multifaceted background", depending on the specific nuance you want to convey.

Is "manifold background" formal or informal?

"Manifold background" leans towards the formal side. For informal contexts, consider alternatives like "varied experience".

What does "manifold" mean in "manifold background"?

In this context, "manifold" means many or various. It emphasizes the diverse and numerous elements that make up the background.