geometric schemes

USAGE SUMMARY

The phrase "geometric schemes" is correct and usable in written English.
It can be used in contexts related to mathematics, particularly in algebraic geometry or related fields where geometric structures are discussed. Example: "In algebraic geometry, we study the properties of geometric schemes to understand their underlying algebraic structures."

✓ Grammatically correct

News & Media

Science

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

Robert Yeoman's cinematography in "The Grand Budapest Hotel" has a painterly depth, and he lends Anderson's geometric schemes a physical, gestural presence.

The New Yorker

As a spectator sport, tournament croquet is as quiet and as dull to watch as a board game; competitors dressed in tennis whites politely taking turns scanning the manicured grass for geometric schemes.

The New York Times

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

Ivan's work on his forgery, for example, serves to introduce the "sacred geometric scheme" coded into icon paintings: "Pythagorean and Platonic notions... get trawled through a medieval mesh to throw up the numbers three, four and one — corresponding to the shapes of the triangle... the square... and the circle".

The New York Times - Books

In Fig. 4, the geometric scheme of the DS, lying inside the lower quarter of a circular channel, is presented.

Petroleum Science

The geometric scheme presented in the first row gives an advantage to quality as author 1 would receive a higher score than authors 2 and 3.

Business Research

The LC is a technique to transport human craniofacial structure into a measurable geometric scheme to evaluate the morphology and growth of craniofacial skeleton on sagittal and vertical planes[2].

Progress in Orthodontics

The stochastic acceptance procedure of a solution proposed by Metropolis et al. (1953), combined with the temperature decreasing geometric scheme of Kirkpatrick et al. (1982) are the most efficient variants.

Chemical Engineering Journal

At the same time an analysis by Robert Stevick suggests that the designs for both covers were intended to follow a sophisticated geometric scheme of compass and straightedge constructions using the "two true measures of geometry", the ratio between Pythagoras' constant and one, and the golden section.

Wikipedia

Various geometric integration schemes are proposed and tested.

Journal of Computational Physics

Certain natural geometric approximation schemes are developed for Wiener measure on a compact Riemannian manifold.

Journal of Functional Analysis

Meyerson had come right up to the threshold of grasping the Weyl-Eddington geometric unification schemes in something like the sense in which they were intended.

SEP

Expert writing Tips

Best practice

When writing about "geometric schemes", ensure that you clearly define the specific geometric properties and relationships involved. This helps avoid ambiguity and allows readers to grasp the intended meaning more effectively.

Common error

Avoid using "geometric schemes" as a generic term for any visual pattern. Be specific about the mathematical or structural principles that define the scheme. Otherwise, a term like "designs" might be more appropriate.

Linguistic Context

The phrase "geometric schemes" typically functions as a noun phrase, acting as the subject or object of a sentence. It refers to structured arrangements or systems based on geometric principles. As Ludwig AI suggests, it's usable in written English.

Expression frequency: Rare

Frequent in

Science

66%

News & Media

33%

Formal & Business

0%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "geometric schemes" is a grammatically correct noun phrase used to describe structured arrangements based on geometric principles. Ludwig indicates that it's suitable for use in formal writing. While relatively rare, it appears in contexts like science, mathematics and design, as well as news publications. Ludwig's analysis suggests that while less frequent than broader terms like "geometric designs", "geometric schemes" offers a specific and technical nuance, particularly when emphasizing mathematical or structural organization.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

geometrical arrangements

This alternative uses a different adjective form while keeping the core concept of arrangements.

geometric configurations

This phrase replaces "schemes" with "configurations", which suggests a specific arrangement of elements.

geometric designs

Using "designs" emphasizes the planned or intentional aspect of the geometric arrangement.

geometric patterns

This alternative highlights the repetitive or regular nature of the arrangement.

geometric layouts

This phrase focuses on the spatial arrangement of elements within a geometric context.

spatial geometric plans

This alternative changes the structure emphasizing spatial properties and intentional planning.

geometric structures

Replacing "schemes" with "structures" emphasizes the underlying form and organization.

geometric systems

This phrase conveys the idea of an organized and interconnected set of geometric elements.

diagrammatic geometric representations

This alternative emphasizes the visual and representational aspect of the geometric arrangement.

geometric frameworks

This phrase replaces "schemes" emphasizing a structured foundation or supporting structure.

FAQs

How can I use "geometric schemes" in a sentence?

You can use "geometric schemes" to describe structured arrangements or patterns based on geometric principles. For instance, "The artist employed complex geometric schemes in his paintings."

What's the difference between "geometric schemes" and "geometric designs"?

"Geometric schemes" often imply a more structured or mathematically defined arrangement, whereas "geometric designs" may refer to any visual pattern incorporating geometric shapes, with no explicit emphasis on underlying formal rules.

What are some alternatives to using the phrase "geometric schemes"?

Depending on the context, you could use alternatives like "geometrical arrangements", "geometric configurations", or "geometric patterns".

In what fields is the term "geometric schemes" commonly used?

The term "geometric schemes" is found in fields such as mathematics, computer graphics, architecture, and design, where structured geometric arrangements are relevant.