mathematical basis

USAGE SUMMARY

The phrase "mathematical basis" is correct and usable in written English.
It can be used when discussing the foundational principles or theories that underpin a mathematical concept or framework. Example: "The mathematical basis for this theorem is rooted in the principles of calculus and linear algebra."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

They may have a formal mathematical basis.

Multiprocessor Systems-on-Chips

Ludwig Boltzmann established the mathematical basis for this law of radiation in 1884.

Britannica

His account was short and contained no explanation of the mathematical basis of the new method.

Britannica

In defining painting as a science, Leonardo also emphasizes its mathematical basis.

Britannica

The mathematical basis of the suggested method is also explained.

Electric Power Systems Research

The mathematical basis of this model is firstly presented.

Energy Conversion and Management

On a purely mathematical basis, it was silly to double six hearts, trying to turn plus 100 into plus 200.

The New York Times

Those may add up to less than ten on a strictly mathematical basis, but who is this guy?

The New Yorker

A cryptocurrency like bitcoin, primecoin differs at its core because it uses a totally separate mathematical basis for mining.

The Guardian - Tech

Employing Newtonian laws of mechanics, he also provided a mathematical basis for Avogadro's theory.

Encyclopedia Britannica

Human-verified similar examples from authoritative sources

Similar Expressions

1 human-written examples

Details of the mathematical basis, the implementation and different steps for elastic modulus back calculation, are presented.

Engineering Structures

Expert writing Tips

Best practice

When using "mathematical basis", ensure you clearly articulate the specific mathematical concepts or theorems that underpin the subject you are discussing. Provide concrete examples or references to enhance clarity.

Common error

Avoid using "mathematical basis" vaguely. Instead of stating that something 'has a mathematical basis', specify which mathematical principles are involved and how they contribute to the subject under discussion.

Linguistic Context

The phrase "mathematical basis" functions primarily as a noun phrase, identifying the foundational mathematical principles or theories that underpin a particular concept, method, or system. Ludwig AI confirms its widespread use across various contexts.

Expression frequency: Very common

Frequent in

Science

66%

News & Media

16%

Encyclopedias

9%

Less common in

Academia

4%

Wiki

2%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "mathematical basis" is a grammatically sound and frequently employed phrase, particularly within scientific, academic, and technical domains. Ludwig AI analysis confirms this widespread usage. When using this phrase, clarity and specificity are crucial; explicitly state the mathematical principles involved rather than making vague assertions. Consider alternatives like ""mathematical foundation"" or ""mathematical underpinnings"" to refine your meaning. Avoid overgeneralization, and always provide concrete examples or references to strengthen your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematical foundation

Replaces "basis" with "foundation", emphasizing the fundamental nature of the mathematics.

mathematical underpinnings

Uses "underpinnings" to highlight the supporting mathematical principles.

mathematical rationale

Substitutes "basis" with "rationale", focusing on the reasoning and justification behind the mathematics.

mathematical justification

Emphasizes the mathematical support or proof for a claim or method.

mathematical principles

Focuses on the broad concepts and rules that form the base.

mathematical framework

Highlights the structured system of mathematical concepts.

mathematical model

Emphasizes the use of mathematical representation.

mathematical theory

Replaces the term with a formal collection of ideas to present some phenomenon.

mathematical proof

Emphasizes the validation of the mathematical statement.

mathematical explanation

Focuses on a complete description of the reasoning behind the mathematics.

FAQs

How can I use "mathematical basis" in a sentence?

You can use "mathematical basis" to describe the underlying mathematical principles supporting a theory, method, or concept. For example: "The study explores the "mathematical basis" of quantum mechanics."

What are some alternatives to "mathematical basis"?

Alternatives include "mathematical foundation", "mathematical underpinnings", or "mathematical rationale", depending on the specific nuance you want to convey.

Is it correct to say "mathematical bases" instead of "mathematical basis"?

While "mathematical bases" is grammatically correct as the plural of "mathematical basis", it is less common. "Mathematical basis" is typically used in a general sense to refer to the fundamental principles, whereas "mathematical bases" might be used when referring to multiple distinct mathematical foundations.

What is the difference between "mathematical basis" and "mathematical model"?

A "mathematical basis" refers to the underlying principles and theorems that support a concept or theory, while a "mathematical model" is a specific representation or simulation of a system using mathematical equations and concepts. The former is a foundation, the latter is an application.