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{{Short description|Does the plane contains a dense set of points whose distances are all rational}} {{unsolved|mathematics|Is there a [[dense set]] of points in the plane at rational distances from each other?}} ...

{{Short description|Set of integers, the lengths of the sides of a triangle with a 60° angle}} ...such triangles to the [[Eisenstein integer]]s is analogous to the relation of Pythagorean triples to the [[Gaussian integer]]s. ...

{{Short description|Set of distances defined from a set of points}} ...ifference set]], the set of distances (and their negations) in collections of numbers. ...

{{Short description|Field of mathematics}} ...nction]]. A fundamental goal is to describe arithmetic properties in terms of underlying geometric structures. ...

[[File:Jigu Suanjing.JPG|thumb|right|300px|Facsimile of a Qing dynasty block printed Jigu Suanjing]] ...ts for [[Imperial examination]]; the amount of time required for the study of ''Jigu Suanjing'' was three years, the same as for ''[[The Nine Chapters on ...

{{Short description|Open subset of the real–number line}} ...n iterations of the construction of the [[Cantor ternary set]], an example of a fractal string.]] ...

...s=36–48 |chapter=The Development of Mathematics in Ancient India: The Role of Brahmagupta |isbn=}}</ref> ...nal Mathematics |date=2003 |volume=32 |issue=4 |pages=298–301}}</ref> Some of the other names by which Brahmagupta triangles are known are '''super-Heron ...

...and <math>c^2</math> form an [[arithmetic progression]] separated by a gap of <math>d^2</math>. It is not possible for all four lengths <math>a</math>, < ...{{harvtxt|Goldstein|1995}}.</ref> It has many equivalent formulations, one of which was stated (but not proved) in 1225 by [[Fibonacci]]. In its geometri ...

...combinatorics problems. While a few techniques that follow the framework of the polynomial method, such as Alon's [[Restricted sumset#Combinatorial Nul Many uses of the polynomial method follow the same high-level approach. The approach is ...

...Function of a real variable|functions of a real variable]] or a [[Function of a complex variable|complex variable]] are called. ...y]], [[harmonic function|harmonicity]] and [[conformality]] in the context of quaternions. Unlike the [[complex number]]s and like the [[real number|real ...

| caption = Title page of the first edition ...Michael Friedman, it became "one of the main engines of the popularization of folding as a mathematical activity".{{r|friedman}} ...

{{Short description|Non-technical introduction to systolic geometry}} {{Introductory article|Systolic geometry}} ...

{{Short description|Polynomial function of degree at most one}} {{incomplete|the case of multivariate functions and vector valued functions, which must be considere ...

{{unsolved|computer science|What is the Turing run-time complexity of the square-root sum problem?}} ...the field of [[numerical analysis]], with applications to [[computational geometry]]. ...

[[Image:Twisted Edwards curve.svg|300px|right|thumb|A twisted Edwards curve of equation <math>10x^2+y^2=1+6x^2y^2</math>]] ...heme called [[EdDSA]] that offers high performance while avoiding security problems that have surfaced in other digital signature schemes. ...

...urface obtained from identifying the sides of a polygon in the [[Euclidean plane]] by translations. An equivalent definition is a [[Riemann surface]] togeth ...and in [[Teichmüller theory]]. A particularly interesting subclass is that of '''Veech surfaces''' (named after [[William A. Veech]]) which are the most ...

...for finding approximate solutions of various mathematical and engineering problems that can be related to an elastic grid behavior. [http://www.adearth.ac.cn/EN/abstract/abstract3792.shtml "Application of a Variable-Resolution Stretched Grid to a Regional Atmospheric Model with P ...

...the '''existential theory of the reals''' is the set of all true sentences of the form ...t3=Roy|author3-link=Marie-Françoise Roy|title=Algorithms in Real Algebraic Geometry|publisher=Springer-Verlag|pages=505–532|doi=10.1007/3-540-33099-2_14|series ...

{{short description|List of concrete topologies and topological spaces}} {{Main|List of topology topics}} ...

...e can be [[uniform scaling|rescaled]] by the [[lowest common denominator]] of the sides to obtain a [[similar triangle|similar]] integer triangle, so th ...Conway, J. H., and Guy, R. K., "The only rational triangle", in ''The Book of Numbers'', 1996, Springer-Verlag, pp. 201 and 228–239.</ref> ...