mathematical principles

USAGE SUMMARY

The phrase "mathematical principles" is correct and commonly used in written English.
It refers to the fundamental concepts and rules that govern mathematical reasoning and problem-solving. This phrase can be used in various contexts where the speaker or writer wants to discuss or emphasize the underlying ideas and theories of mathematics. For example: - In a math class: "Before we start solving equations, let's review some important mathematical principles." - In a research paper: "This study is based on the following mathematical principles that have been applied in previous studies." - In a conversation about math: "My favorite part of geometry is learning about the different mathematical principles that help us understand shapes and angles." - In a job application: "I have a strong understanding of mathematical principles and can apply them to complex problems, as demonstrated in my previous work experience as a data analyst."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Nash thus established the mathematical principles of game theory, a branch of mathematics that examines the rivalries between competitors with mixed interests.

Encyclopedia Britannica

Rather they depend on geometrical definitions and mathematical principles, and so this is a case of mathematically necessary and sufficient conditions.

SEP

"There are many beautiful mathematical principles behind simple card tricks".

The Guardian

For football, points are at stake instead of money, but the mathematical principles are the same.

The New York Times

His strategic system, based on precise mathematical principles, attempted to transform warfare into an exact science.

Encyclopedia Britannica

It was an instant success, as was the learning of various mathematical principles through other games.

Independent

—Sir Isaac Newton, "The Mathematical Principles of Natural Philosophy" LAW I: A body in motion will be kept in motion.

The New Yorker

It was argued that geometric and mathematical principles of general validity could be deduced from the style.

Encyclopedia Britannica

Economies are entirely man-made — their behavior is an aggregate of human behavior, not the product of deterministic mathematical principles.

The New York Times

Students lack proficiency not from inadequate drill but because too many teachers themselves do not understand the mathematical principles behind the rules.

The New York Times

He specialized in research methods, mathematical sociology and science manpower studies, and he was among the first in his profession to apply mathematical principles to quantitative social analysis.

The New York Times

Expert writing Tips

Best practice

When discussing the theoretical basis of a mathematical approach, clearly state the specific "mathematical principles" involved to provide a solid foundation for your argument.

Common error

Avoid using "mathematical principles" as a vague, catch-all term. Instead, specify the particular principle (e.g., the principle of induction, the principle of least privilege) to ensure clarity and precision.

Linguistic Context

The phrase "mathematical principles" functions as a noun phrase, typically serving as the subject or object of a sentence. According to Ludwig AI, it denotes the foundational concepts and rules governing mathematical reasoning.

Expression frequency: Very common

Frequent in

Science

40%

News & Media

25%

Encyclopedias

15%

Less common in

Wiki

5%

Formal & Business

5%

Reference

5%

Ludwig's WRAP-UP

The phrase "mathematical principles" is a widely used noun phrase that refers to the foundational concepts and rules governing mathematical reasoning. As confirmed by Ludwig AI, it's grammatically correct and commonly employed across diverse contexts, notably in science, news, and encyclopedias. When writing, it's best to use the phrase to refer to fundamental ideas and avoid vague generalizations. Alternatives such as ""mathematical laws"" or ""mathematical foundations"" may be appropriate depending on the specific context. Understanding its usage and nuances helps in crafting precise and authoritative content.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematical laws

Replaces "principles" with "laws", emphasizing the established and proven nature of mathematical concepts.

mathematical foundations

Substitutes "principles" with "foundations", highlighting the basic and fundamental nature of the mathematical concepts.

mathematical underpinnings

Uses "underpinnings" instead of "principles", suggesting the core concepts that support a particular mathematical area.

mathematical concepts

Replaces "principles" with "concepts", focusing on the ideas and notions within mathematics.

mathematical rules

Swaps "principles" for "rules", implying a set of guidelines to be followed in mathematical operations.

mathematical theorems

Uses "theorems" instead of "principles", referring to proven statements in mathematics.

mathematical axioms

Replaces "principles" with "axioms", highlighting the self-evident truths that serve as a starting point for mathematical reasoning.

mathematical postulates

Substitutes "principles" with "postulates", focusing on the assumptions that are taken as true without proof.

mathematical guidelines

Uses "guidelines" instead of "principles", suggesting a set of non-strict rules.

mathematical precepts

Replaces "principles" with "precepts", emphasizing a general rule intended to regulate behavior or thought.

FAQs

How can I accurately use "mathematical principles" in a sentence?

Use "mathematical principles" when referring to the fundamental concepts, rules, and theorems that govern mathematical operations and reasoning. For example, "The algorithm is based on several core "mathematical principles", including calculus and linear algebra".

What phrases are similar to "mathematical principles"?

Similar phrases include "mathematical laws", "mathematical foundations", and "mathematical concepts". The best choice depends on the specific context and the nuance you want to convey.

Is it correct to say 'apply mathematical principles'?

Yes, it is correct. The phrase "apply mathematical principles" means to use or implement mathematical concepts and rules in a practical context or problem-solving situation.

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

"Mathematical principles" are the underlying concepts and rules of mathematics, while "mathematical models" are representations or abstractions of real-world systems or problems using mathematical language and equations. Principles are the building blocks, while models are constructed using those building blocks.