"mathematical regularity" is a correct and usable phrase in written English.
You can use this phrase to describe the consistent and orderly pattern of something governed by mathematics or related to mathematical principles. For example, "The mathematical regularity of the Fibonacci sequence is remarkable."
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.
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.
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.
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.
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.
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.
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.
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.
In teams, students explore puzzling and complex mathematical situations, search for regularities, and attempt to explain them mathematically.
Informally, the VC-dimension of a set system is a mathematical way of characterizing the "regularity" of the sets in (with respect to the points ) in the system.
Fundamental mathematical issues such as the regularity of weak solutions have generated extensive research and many interesting results have been established (see [1, 7] and [9]).
