models of surfaces

USAGE SUMMARY

The phrase "models of surfaces" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or design, where one discusses different representations or types of surfaces. Example: "In our research, we developed several models of surfaces to better understand the behavior of materials under stress."

✓ Grammatically correct

Science

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

Physical mathematical models include reproductions of plane and solid geometric figures made of cardboard, wood, plastic, or other substances; models of conic sections, curves in space, or three-dimensional surfaces of various kinds made of wire, plaster, or thread strung from frames; and models of surfaces of higher order that make it possible to visualize abstract mathematical concepts.

Encyclopedia Britannica

This shows how appropriate it is to work with Gieseker's moduli space of canonical models of surfaces.

Bulletin of Mathematical Sciences

( (p :{mathcal {X}}rightarrow T)) is a flat family in a given category (a smooth family for the case of minimal models of surfaces of general type).

Bulletin of Mathematical Sciences

The situation for the minimal models of surfaces of general type is different, because then the subset of the moduli space where one has a fixed differentiable type is not closed, as showed in [33].

Bulletin of Mathematical Sciences

But we have a moduli space of G-marked varieties in the case of curves of genus (g ge 2) and in the case of canonical models of surfaces of general type, and similarly also for canonical models in higher dimension.

Bulletin of Mathematical Sciences

The main problem with the group of automorphisms on minimal models of surfaces (see [114]) is that a limit of isomorphisms need not be an isomorphism12, it can be for instance a Dehn twist on a vanishing cycle (see also [106, 332]).

Bulletin of Mathematical Sciences

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

time-varying models of surface chloride concentration with high accuracy.

Construction and Building Materials

Observed growth of ripples is discussed in the framework of existing models of surface patterning.

Current Applied Physics

We develop models of surface texture and demonstrate their use in recognition tasks.

Image and Vision Computing

The theoretical models of surface roughness and micro-displacement measurements have been established for the probe.

Precision Engineering

Theoretical models of surface roughness generated in turning and milling operations are derived.

Advanced Machining Processes of Metallic Materials Theory, Modelling, and Applications

Expert writing Tips

Best practice

When discussing mathematical or scientific concepts, use "models of surfaces" to refer to physical or abstract representations that help visualize or analyze these concepts. Be specific about the type of model if necessary (e.g., "mathematical models of surfaces").

Common error

Avoid using "models of surfaces" when you're actually referring to specific surface textures or finishes. Instead, use more descriptive language like "textured surfaces" or "finished surfaces" to avoid ambiguity.

Linguistic Context

The phrase "models of surfaces" functions as a noun phrase, typically serving as the subject or object in a sentence. It refers to representations, either physical or abstract, used to depict various types of surfaces. As Ludwig AI points out, the phrase is correct and usable in written English.

Expression frequency: Uncommon

Frequent in

Science

70%

Encyclopedias

30%

News & Media

0%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "models of surfaces" is a grammatically sound noun phrase primarily used in scientific and mathematical contexts to refer to representations of surfaces. According to Ludwig AI, the phrase is correct and usable in written English. While not exceedingly common, its use is well-established in academic and technical discourse. Alternative phrases such as "surface representations" or "mathematical surface models" can be used depending on the specific nuance you wish to convey. When using this phrase, ensure that the context is appropriate for discussing either physical or abstract representations of surfaces, and avoid overgeneralizing to simply describe surface textures or finishes.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

representations of surfaces

A more formal phrasing that puts emphasis on the act of representing.

mathematical surface models

Specifies that the models are mathematical in nature.

surface representations

Focuses on the act of representing surfaces, rather than the models themselves.

three-dimensional surface models

Highlights the three-dimensional aspect of the surface models.

surface designs

Emphasizes the design aspect of surfaces, implying a more artistic or applied perspective.

digital surface models

Refers to surface models created and used in a digital environment.

surface simulations

Highlights the use of simulations to study surface behavior.

conceptual surface models

Implies abstract surface models used for understanding concepts.

surface mappings

Concentrates on the process of creating a map or representation of a surface.

theoretical surface constructs

A more abstract and theoretical phrasing, focusing on constructs rather than concrete models.

FAQs

How can I use "models of surfaces" in a sentence?

You can use "models of surfaces" to describe representations of surfaces used for mathematical or scientific visualization. For example, "The mathematician created several "models of surfaces" to illustrate complex geometric concepts."

What is an alternative to "models of surfaces"?

Depending on the context, alternatives include "surface representations", "surface designs", or "mathematical surface models".

In what context is "models of surfaces" primarily used?

"Models of surfaces" is often found in mathematical, scientific, and engineering contexts when discussing representations of geometric or physical surfaces.

What is the difference between "modelling of surfaces" and "models of surfaces"?

"Modelling of surfaces" refers to the process of creating the models, while "models of surfaces" refers to the resulting representations themselves.