mathematical regularities

USAGE SUMMARY

The phrase "mathematical regularities" is correct and usable in written English.
It can be used when discussing patterns, structures, or consistent behaviors observed in mathematical contexts or data analysis. Example: "Researchers have identified several mathematical regularities in the distribution of prime numbers."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Academia

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

Of course, the idea of mathematical regularities emerging through the operations of natural selection over the course of evolution isn't new or original to Dawkins.

The Guardian - Opinion

In this paper, we explore the mathematical regularities underlying the similarity formulas, introduce a novel data structure, and design linear time algorithms to calculate the similarities.

Knowledge-Based Systems

Descartes's statement of the sine law of refraction, relating the angles of incidence and emergence at interfaces of the media through which light passes, had added a new mathematical regularity to the science of light, supporting the conviction that the universe is constructed according to mathematical regularities.

Britannica

Since 1997, Séquin has been a regular participant at many annual Art-&-Mathematics conferences, where he explores ever new aspects of 'Artistic Geometry' -- either by distilling out the artistic potential of a mathematical construct, or by discovering the inherent mathematical regularities in pre-existing pieces of abstract art.

University of California, Berkeley

The beautiful mathematical regularities that have been uncovered have typically been unifications, where instead of having one mathematical description for this and a different one for that, we realize there's a single mathematical structure that encompasses all of it.

Science Magazine

The curves for sea transport begin a bit earlier (around 1750), and air transit of course starts later (from the 1920s onwards), but like movement over land, these other modes of transportation obey clear mathematical regularities.

BBC

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

For much of the 18th century the source of mathematical regularity in chemical systems was assumed to be the continuum of forces and fields that surround the atoms making up chemical elements and compounds.

Britannica

Secondly, the regularity of the global solutions to atmospheric circulation equations is presented by using mathematical induction and regularity estimates for the linear semigroups.

Boundary Value Problems

The paper is organized as follows: in "Hit-and-miss hypertopologies: an overview" and "Regular set multifunctions" several remarkable hit-and-miss hypertopologies and their properties are listed from a mathematical perspective and regularity of set multifunctions is introduced in a unifying way with respect to these hypertopologies.

Mathematical Sciences

In teams, students explore puzzling and complex mathematical situations, search for regularities, and attempt to explain them mathematically.

Massachusetts Institute of Technology

Therefore, we rely on Axiom 3. In this section, we translate the verbal statements of Regularities 1 6 into mathematical statements, which we name laws and, in particular, Laws 1 6.

Journal of Economic Structures

Expert writing Tips

Best practice

When discussing predictable behaviors or structures in mathematical data, use "mathematical regularities" to highlight inherent patterns and unifications.

Common error

Avoid using "mathematical regularities" in contexts where the patterns are not derived from mathematical principles or data analysis. Use more general terms like "patterns" or "trends" instead.

Linguistic Context

The phrase "mathematical regularities" functions as a noun phrase, often serving as the subject or object of a sentence. It denotes identifiable and recurring patterns or structures found within mathematical concepts, models, or data, as showcased by Ludwig's examples.

Expression frequency: Uncommon

Frequent in

Science

50%

News & Media

33%

Encyclopedias

17%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "mathematical regularities" is a noun phrase used to describe consistent patterns and structures within mathematical concepts and data. Ludwig AI analysis indicates that its grammatical status is correct, although its frequency is uncommon. The phrase is most frequently encountered in scientific and academic contexts. While "mathematical regularities" is considered usable in written English, as confirmed by Ludwig, being mindful of its formal tone and mathematical implication is advisable. Alternative phrases like "mathematical patterns" or "numerical regularities" can provide nuanced alternatives.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematical patterns

Focuses on the recurring arrangements and designs found in mathematics, slightly emphasizing visual aspects.

mathematical uniformities

Highlights the consistent and unchanging nature of mathematical relationships.

mathematical consistencies

Emphasizes the logical coherence and lack of contradiction within mathematical systems.

numerical regularities

Specifically relates to patterns and predictable behaviors observed in numerical data.

arithmetical patterns

Focuses on patterns specifically within arithmetic operations and sequences.

geometric regularities

Refers to predictable patterns and structures in geometric shapes and arrangements.

statistical regularities

Highlights predictable patterns observed in statistical data sets.

mathematical principles

Emphasizes the fundamental rules and axioms that govern mathematical systems.

formulaic consistencies

Focuses on the consistent application and behavior of formulas in mathematical contexts.

algorithmic patterns

Relates to predictable sequences and behaviors found in algorithms.

FAQs

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

You can use "mathematical regularities" to describe recurring patterns or structures found in mathematical concepts or data sets. For example, "Researchers have identified several mathematical regularities in prime number distribution".

What phrases are similar to "mathematical regularities"?

Similar phrases include "mathematical patterns", "mathematical uniformities", and "numerical regularities". The best choice depends on the specific nuance you want to convey.

Is "mathematical regularities" a formal or informal term?

"Mathematical regularities" is generally considered a formal term, suitable for academic, scientific, and technical writing. In more informal contexts, simpler terms like "patterns" might be preferred.

What is the difference between "mathematical regularities" and "statistical regularities"?

"Mathematical regularities" refers to patterns inherent in mathematical structures and principles, while "statistical regularities" refers to patterns observed in statistical data. The former is deterministic, the latter is probabilistic.