mathematical surface models

USAGE SUMMARY

The phrase "mathematical surface models" is correct and usable in written English.
You can use it in contexts related to mathematics, computer graphics, or engineering when discussing representations of surfaces in a mathematical framework. Example: "In our research, we utilized various mathematical surface models to simulate the behavior of fluid dynamics over complex geometries."

✓ Grammatically correct

Science

Academia

Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

Our research methodology consists of field observations (eddy covariance, optical isotope instruments, and high-precision greenhouse gas analyzers), mathematical models (land surface models, large-eddy simulation, WRF, and earth system models), and environmental remote sensing (satellites and drones).

Yale University

His lab group deploys an array of research methodologies, including field observations (eddy covariance, optical isotope instruments, and high-precision greenhouse gas analyzers), mathematical models (land surface models, large-eddy simulation, WRF, and earth system models), and environmental remote sensing (satellites and drones).

Yale University

A mathematical simulation or response surface models were developed to predict the board properties (MOR, MOE and IB).

Bioresource Technology

These data have been utilized to fit a quadratic mathematical model (response surface model) for each of the responses.GRA has been adopted to convert this multi-objective criterion into an equivalent single objective function; Optimal setting has been verified through confirmatory test; showed good agreement to the predicted value.

Journal of Industrial Engineering International

Rao and Pawar (2009) highlighted the development of mathematical models using response surface modeling for correlating the relationships of various WEDM parameters such as pulse on-time, pulse off-time, peak current, and servo feed setting on the machining speed and surface roughness.

Journal of Industrial Engineering International

The oil yield reached 48% at optimum conditions of temperature 420°C, cool hydrogen pressure of 500 psig and reaction time of 40 min. A polynomial mathematical model-second order response surface model has been obtained for correlating the oil yield response factor as well as conversion with the major process variables.

Fuel Processing Technology

Mathematical modeling, evaluation of the ability to fit to the model, and response surface modeling were performed with employing Design-Expert.

BioMed Research International

Mathematical surfaces?

The New York Times

Mathematical models for surface roughness and cutting force components were developed using the response surface methodology (RS M.

Measurement

In order to study the effects of the input variables on the above responses, second order polynomial response surface mathematical models can be developed.

Mechanics of Advanced Materials and Modern Processes

From the numerical results, mathematical models were created using response surface methodology (RS M.

Thin-Walled Structures

Expert writing Tips

Best practice

When discussing complex shapes in engineering or computer graphics, use "mathematical surface models" to clearly indicate that you're referring to representations based on mathematical equations.

Common error

Avoid using "mathematical surface models" when you're simply discussing physical surfaces without a specific mathematical representation. Opt for "surface models" or "geometric models" instead to avoid unnecessary jargon.

Linguistic Context

The phrase "mathematical surface models" functions as a noun phrase often used as an adjective to describe something related to the creation and use of representations of surfaces in a mathematical format. Ludwig shows several examples in scientific and academic contexts.

Expression frequency: Missing

Frequent in

Science

40%

Academia

30%

Formal & Business

10%

Less common in

News & Media

5%

Encyclopedias

5%

Reference

5%

Ludwig's WRAP-UP

The phrase "mathematical surface models" denotes representations of surfaces using mathematical techniques and is mainly deployed in scientific and academic settings. As Ludwig AI's analysis shows, its grammatical status is correct, although examples are relatively rare. Alternatives such as "geometric surface representations" and "numerical surface models" can be used depending on the specific context. It is important to use this phrase when referring to surface representations based on mathematical equations, rather than general physical surfaces. When in doubt, choose "surface models" to avoid over-specificity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematical representations of surfaces

Focuses on the representation aspect using mathematical tools.

mathematical depiction of surfaces

Focuses on the depiction or visualization aspect of surface modeling.

geometric surface representations

Emphasizes the geometric nature of the surface representations.

numerical surface models

Highlights the numerical methods used to create the surface models.

computational surface models

Highlights the computational aspect of surface modeling.

surface geometry modeling

Highlights modeling the geometry of surfaces.

analytical surface models

Stresses the analytical approach to surface modeling.

parametric surface models

Focuses on using parameters to define surface models.

mathematical approximations of surfaces

Emphasizes the approximation involved in creating surface models.

surface modeling techniques

Broader term encompassing various methods for surface modeling.

FAQs

How can I use "mathematical surface models" in a sentence?

You might say, "The software uses various "mathematical surface models" to render realistic 3D images", or "Our research focuses on developing new "mathematical surface models" for simulating fluid dynamics".

What are some alternatives to "mathematical surface models"?

Consider using "geometric surface representations" or "numerical surface models" depending on the specific context.

What is the difference between "mathematical surface models" and "surface models"?

"Mathematical surface models" specifically refers to surface representations defined by mathematical equations, while "surface models" is a broader term that can include physical or non-mathematical representations.

In what contexts are "mathematical surface models" typically used?

This phrase is commonly used in scientific research, engineering design, and computer graphics to describe how surfaces are represented and manipulated using mathematical formalisms.