numerical foundation

USAGE SUMMARY

The phrase "numerical foundation" is correct and usable in written English.
It can be used when discussing the basic principles or underlying concepts related to numbers or quantitative analysis in various fields such as mathematics, statistics, or data science. Example: "Before diving into advanced statistics, it's essential to establish a strong numerical foundation to understand the concepts better."

✓ Grammatically correct

Science

Academia

Human-verified similar examples from authoritative sources

Similar Expressions

60 human-written examples

The attack algorithms and numerical foundations for the construction of side-channel attacks are described as preliminaries for execution of SCAs.

EURASIP Journal on Information Security

One of the purposes of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties (stability, accuracy, computational complexity) and demonstrate their performances on examples and counterexamples which outline their pros and cons.

Springer

It reviews mathematical foundations and explores parametric optimization, conditions for optimality, constraints and singular control, numerical optimization, and neighboring-optimal solutions.

Princeton University

The technical viability of using inert construction and demolition (C&D) materials for the construction of seawall and breakwater foundations has been established by laboratory testing of the materials, numerical analysis of foundation stability, and a pilot field-scale engineering performance evaluation.

Waste Management

These tools powerfully unite theoretical foundations, numerical models and experimental data which include associated uncertainties and errors.

Journal of Sound and Vibration

It is also the foundation for numerical algorithms that seek to analyze system behavior in ways that go beyond simulation.

Cornell University

It provides a theoretical foundation for numerical simulation and processing optimization of WFRTP forming.

Composite Structures

This paper compares the compression and uplift capacity of a strip foundation from numerical coupled analyses using the Modified Cam Clay (MCC) soil model.

Computers and Geotechnics

On the foundation, the numerical simulation theory of vulcanization molding can be studied, and the computer-aided engineering software of vulcanization molding can be designed.

Polymer

The method, which is general with regard to fluid and tube shape within certain restrictions, can also be used as a foundation for numerical integration where analytical expressions are hard to obtain due to mathematical or practical complexities.

Journal of Petroleum Science and Engineering

Combining with the actual measurement engineering data and numerical result, the deep foundation pit at the typical station on Xiamen metro line 1 is taken as the engineering background of this paper, the dynamic response of the steel pipe pile foundation during construction of neighborhood deep excavation was studied.

Procedia Engineering

Expert writing Tips

Best practice

When discussing theoretical or computational methods, ensure that the "numerical foundation" is clearly defined and understood to avoid ambiguity.

Common error

Avoid using "numerical foundation" as a vague reference. Be specific about which numerical methods, algorithms, or principles are being considered as the foundation.

Linguistic Context

The phrase "numerical foundation" functions as a noun phrase, where "numerical" modifies "foundation". It typically refers to the basic principles or underlying concepts of a numerical method, algorithm, or system. Ludwig examples showcase its use in describing core aspects of computational and analytical methodologies.

Expression frequency: Missing

Frequent in

Science

34%

Academia

33%

Formal & Business

17%

Less common in

News & Media

5%

Wiki

6%

Reference

5%

Ludwig's WRAP-UP

In summary, "numerical foundation" is a grammatically sound and versatile term, best suited for formal, scientific, and technical contexts. It serves to emphasize the core principles underlying complex systems or methodologies. While Ludwig AI confirms its correctness, this analysis emphasizes the importance of precise usage. When employing this phrase, ensure that the specific numerical methods or principles are clearly defined to maintain accuracy and clarity. Consider alternatives like "mathematical basis" or "computational framework" for varied emphasis. The phrase is most commonly found in scientific and academic contexts, reflecting its role in scholarly discourse.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematical underpinnings

Emphasizes the support and framework from mathematics.

mathematical basis

Emphasizes the underlying mathematical principles.

quantitative basis

Highlights the quantitative aspects as a foundation.

quantitative grounding

Highlights the quantitative or measurable aspects.

numerical framework

Focuses on the structural aspect of the numerical methods.

computational framework

Focuses on the computational aspects and structure.

computational basis

Emphasizes the computational aspects.

statistical bedrock

Highlights the statistical principles involved.

mathematical bedrock

Highlights mathematics as a fundamental principle.

theoretical numerical basis

Emphasizes theoretical aspects related to the numerical base.

FAQs

How can I use "numerical foundation" in a sentence?

You can use "numerical foundation" to describe the underlying numerical principles or methods upon which a theory, model, or algorithm is built. For example, "A strong numerical foundation is essential for accurate simulations."

What can I say instead of "numerical foundation"?

You can use alternatives like "mathematical basis", "quantitative grounding", or "computational framework" depending on the context.

Is "numerical foundation" formal or informal?

"Numerical foundation" is generally considered a formal term, suitable for academic and scientific writing. In less formal contexts, simpler terms like "mathematical basis" might be preferred.

What is the importance of a "numerical foundation" in research?

A solid "numerical foundation" ensures that the methods used in research are reliable, accurate, and reproducible. It also provides a basis for further development and innovation in the field.