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{{r|Distribution (mathematics)}} {{r|Set (mathematics)}}

(for a statement ''S'') In mathematics, a propositon that implies ''S''.

*[[Solenoid (mathematics)]]

...s | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[Van Nostrand Reinhold]] | year=1960 }} ...| authorlink=Ian Stewart | coauthors=David Tall | title=The Foundations of Mathematics | publisher=[[Oxford University Press]] | year=1977 | isbn=0-19-853165-6 }}

...s | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[Van Nostrand Reinhold]] | year=1960 }} ...| authorlink=Ian Stewart | coauthors=David Tall | title=The Foundations of Mathematics | publisher=[[Oxford University Press]] | year=1977 | isbn=0-19-853165-6 }}

An enumerated list in mathematics; the elements of this list are usually referred as to the terms.

...s | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[Van Nostrand Reinhold]] | year=1960 | pages=59-69 }} ...blisher=van Nostrand | year= 1955 | series=The University Series in Higher Mathematics | zbl=0066.16604 | page=33 }}

Field of mathematics that studies how to approximate functions by simpler functions and how good

In mathematics, a chain in a partially ordered set.

A field of mathematics commonly associated with economics that provides models for behavior in man

{{r|Measure (mathematics)}} {{r|Series (mathematics)}}

{{r|Fraction (mathematics)}} {{r|Ring (mathematics)}}

{{r|Roman letters used in mathematics}} {{r|Greek letters used in mathematics}}

In [[mathematics]], a '''stably free module''' is a [[module (mathematics)|module]] which is close to being [[free module|free]].

In [[set theory]], a '''pointed set''' is a [[set (mathematics)|set]] together with a distinguished element, known as the '''base point''' ...the pointed set <math>(X,b)</math> to <math>(Y,c)</math> is a [[function (mathematics)|function]] <math>f : X \rightarrow Y</math> such that <math>f(b) = c</math

...of his professional work in the U.S., '''Mark Kac''' (1914-1984) was a [[mathematics|mathematician]] and [[Statistics|statistician]] who is credited with major | journal = The MacTutor History of Mathematics archive

{{r|Relaxation (mathematics)|In mathematics}}

...ve number theory I. Classical theory | series=Cambridge tracts in advanced mathematics | volume=97 | publisher=[[Cambridge University Press]] | year=2007 | isbn=0 ...nald J. Newman | title=Analytic number theory | series=[[Graduate Texts in Mathematics|GTM]] | volume=177 | publisher=[[Springer-Verlag]] | year=1998 | isbn=0-387

{{r|Pole (mathematics)|Pole}} {{r|Residue (mathematics)|Residue}}

...thematician, who was one of the most influential figures in the history of mathematics and mathematical physics (1777 – 1855).

{{r|Discrete mathematics}} {{r|Mathematics}}

The [[binary operation|binary]] [[operation (mathematics)|mathematical operation]] of scaling one number or quantity by another (mul

A term with several distinct meaning in mathematics, often a synonym for basis, referring to a generating set for some structur

...s | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[Van Nostrand Reinhold]] | year=1960 }} Chapter 6. ...| authorlink=Ian Stewart | coauthors=David Tall | title=The Foundations of Mathematics | publisher=[[Oxford University Press]] | year=1977 | isbn=0-19-853165-6 }}

...s | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[Van Nostrand Reinhold]] | year=1960 }} Chapter 7. ...| authorlink=Ian Stewart | coauthors=David Tall | title=The Foundations of Mathematics | publisher=[[Oxford University Press]] | year=1977 | isbn=0-19-853165-6 }}

...ught to students who are presumed to have little or no formal knowledge of mathematics beyond arithmetic.

Branch of mathematics that deals with the theory of systems of linear equations, matrices, vector

{{r|Limit (mathematics)}} {{r|Series (mathematics)}}

{{r|Equation (mathematics)}} {{r|Group (mathematics)}}

{{r|Field (mathematics)}} {{r|Mathematics}}

...g/data/files/iuaasboylesi-3663.pdf Boyle's_law] Resource for Free-standing Mathematics units, University of Manchester

...ibly the greatest cryptologist in history, he pioneered the application of mathematics to cryptanalysis and built the U.S. Army Signal Intelligence Service techni

...ver time that is entirely unpredictable; closely related to [[random walk (mathematics)|the same mathematical term]].

{{r|Equation (mathematics)}} {{r|Group (mathematics)}}

...matroids | series=Modern Analytic and Computational Methods in Science and Mathematics | volume=37 | location=New York | publisher=American Elsevier Publishing Co ...Neil White | year=1986 | title=Theory of Matroids | series=Encyclopedia of Mathematics and its Applications | volume=26 | publisher=Cambridge University Press | l

{{r|Cofactor (mathematics)}} {{r|Function (mathematics)}}

...s | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[Van Nostrand Reinhold]] | year=1960 }} §§24-25. ...es on Logic and Set Theory Volume II |series=Cambridge Studies in Advanced Mathematics |year=2003 |publisher=Cambridge University Press |isbn=0-521-75374-0 }}

...astronomer]]. He is best known today for his calculation of the [[Circle_(mathematics)|circumference]] of [[Earth]]. In mathematics, the ''sieve of Eratosthenes'' is an [[Algorithm|algorithm]] for finding al

* [[Completeness (mathematics)]]

...s | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[Van Nostrand Reinhold]] | year=1960 }} ...| authorlink=Ian Stewart | coauthors=David Tall | title=The Foundations of Mathematics | publisher=[[Oxford University Press]] | year=1977 | isbn=0-19-853165-6 }}

(for a statement ''S'') In mathematics, a proposition such that whenever it is not true then ''S'' is also false;

...chapter=§2.6 The Higgs boson |pages=pp. 48 ''ff''}} An introduction to the mathematics underlying symmetry breaking in quantum field theory.

In mathematics, an '''operator''' is usually defined as a [[Function (mathematics)|function]] which maps some finite [[Cartesian power]] of a set to itself.

{{r|Derivation (mathematics)}} {{r|Field theory (mathematics)}}

{{r|Trace (mathematics)}}

A location within a given [[space (mathematics)|space]].

{{r|Cofactor (mathematics)}}

...athematics]], '''approximation theory''' is concerned with how [[Function (mathematics)|functions]] can be best [[approximation|approximated]] with simpler functi

...on''' refers to procedures that correct inconsistencies in the [[topology (mathematics)|topology]] of a surface [[mesh]] that has been obtained from noisy imaging

#REDIRECT [[Mathematical biology/Bibliography#Biology's next microscope: Mathematics]]

In elementary mathematics, a (finite or infinite) sequence of numbers (or quantities) such that the d

==Mathematics and statistics==

...orn American mathematician known for his work in number theory and for his mathematics textbooks, including the influential ''Algebra''.

{{r|Mathematics||*}} {{r|Curvature (mathematics)}}

{{r|Singularity (mathematics)}}

...riffith | title=Infinite Abelian group theory | series=Chicago Lectures in Mathematics | publisher=University of Chicago Press | year=1970 | isbn=0-226-30870-7 |

*[[Affinity (mathematics)]] - an affine transformation (which preserves collinearity)

...s | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[Van Nostrand Reinhold]] | year=1960 }} ...| authorlink=Ian Stewart | coauthors=David Tall | title=The Foundations of Mathematics | publisher=[[Oxford University Press]] | year=1977 | isbn=0-19-853165-6 }}

| cat1 = Mathematics

The [[Mathematics|mathematical]] concept of '''limit of a sequence''' provides a rigorous def *[[Limit (mathematics)]]

{{r|Limit (mathematics)}} {{r|Residue (mathematics)}}

...[group homomorphism]] from a group to the [[unit circle]], or the [[trace (mathematics)|trace]] of a [[group representation]]. ...a homomorphism from the group ''G'' to a [[matrix]] group, is the [[trace (mathematics)|trace]] of the corresponding matrix.

In mathematics, a component of group theory in which the factors of a normal series are ce

{{ dambigbox| Circle (mathematics) | Circle }} ...ematics']] foundation. The circle serves as the starting point for much of mathematics, for example '''[[pi|&pi;]]''' was first encountered as the ratio of a circ

{{r|Category (mathematics)|Category}} <!-- unsure whether this article will ever be written --> {{r|Scheme (mathematics)}}

In [[mathematics]], '''centre''' may refer to: * The centre of a [[Circle (mathematics)|circle]]

...''"purpose of the Society is to promote the development of all aspects of mathematics in the countries of Europe, with particular emphasis on those which are bes Every four years a ''European Congress of Mathematics'' is organized. The first was held in Paris, 1992.

{{r|Mathematics||*}} {{r|Curvature (mathematics)}}

...s in [[computer graphics]] that correct inconsistencies in the [[topology (mathematics)|topology]] of a surface [[mesh]] that has been obtained from noisy imaging

In elementary mathematics, a (finite or infinite) sequence of numbers (or quantities) such that the p

...ve function''' or '''onto function''' or '''surjection''' is a [[function (mathematics)|function]] for which every possible output value occurs for one or more in

{{r|Field (mathematics)}} {{r|Field theory (mathematics)}}

A field at the intersection of [[mathematics]] and [[computer science]] that is concerned with the [[security of informa

In [[mathematics]], '''characteristic''' may refer to

{{r|Field (mathematics)}} {{r|Mathematics}}

In [[field theory (mathematics)|field theory]], a branch of [[mathematics]], a '''primitive element''' of a [[finite field]] ''GF''(''q'') is a [[gen

{{r|Solution (mathematics)}}

In mathematics:

[[function (mathematics)|Mathematical function]] of a [[complex number|complex]] variable important

{{r|Field theory (mathematics)}} {{r|Ring (mathematics)}}

{{rpl|Optimization (mathematics)}}

* In mathematics, a function defining a [[metric space]]

...d formal education, he made groundbreaking discoveries in various areas of mathematics, including number theory, infinite series, and modular forms. ...87, in Erode, a town in southern India. He displayed an early affinity for mathematics, often solving advanced problems with ease. However, due to financial const

...ry''' is a body of study which provides useful procedures in the fields of mathematics and computer science.

{{r|Span (mathematics)}}

{{rpl|Field theory (mathematics)}}

| cat1 = Mathematics

...hematics]], the '''cocountable topology''' is the [[topology]] on a [[set (mathematics)|set]] in which the [[open set]]s are those which have [[countable set|coun

{{r|Ring (mathematics)}} {{r|Derivation (mathematics)}}

{{r|Field theory (mathematics)}} {{r|Ring (mathematics)}}

Branch of applied mathematics concerned with finding the maximum or minimum of a function of several vari

''See also [[Order (disambiguation)]] for uses beyond [[mathematics]].''

{{r|Mathematics||*}} {{r|Curvature (mathematics)}}

In [[mathematics]], a '''theta function''' is an analytic function which satisfies a particu ...tle=Introduction to Analytic Number Theory | series=Undergraduate Texts in Mathematics | year=1976 | publisher=[[Springer-Verlag]] | isbn=0-387-90163-9 }}

{{r|Magma (mathematics)}}

{{rpl|Transposition (mathematics)}}

{{r|Nome (mathematics)}}

{{rpl|Series (mathematics)}}

{{r|Knot (mathematics)}}

...branch of engineering concerned with the utilisation of the basic laws of mathematics, thermodynamics, fluid dynamics, and system dynamics in order to create uni

: in: Ehrhard Behrends, ''Five-Minute Mathematics''. Chapter 11. pp.37-41. Translated by David Kramer. American Mathematical

{{rpl|Science, technology, engineering, and mathematics (STEM)}}

{{r|Completion (mathematics)}}

{{r|Mathematics}} {{r|Analysis (mathematics)}}

|series = Undergraduate Texts in Mathematics |series = Undergraduate Texts in Mathematics

In mathematics, a [[complex number]] whose square is a negative real number, or (sometimes

In [[mathematics]], a '''normal number''' is a [[real number]] whose [[decimal expansion]] s

In mathematics, see: {{r|Absolute value||}}

...mathematics]], the '''cofinite topology''' is the [[topology]] on a [[set (mathematics)|set]] in the the [[open set]]s are those which have [[finite set|finite]]

...nction''' or '''one-to-one function''' or '''injection''' is a [[function (mathematics)|function]] which has different output values on different input values: ''

In [[mathematics]], a '''transcendental number''' is any [[complex number]] that is not [[al ...al numbers known to be transcendental are [[pi|<math>\pi</math>]] and [[e (mathematics)|<math>e</math>]].

..., spheres, balls, cubes etc., are often (but not always) treated as [[set (mathematics)|sets]] of points. ==Beyond mathematics==

| cat1 = Mathematics

...trix]] manipulation, implementation of algorithms, plotting of [[Function (mathematics)|functions]] and data, creation of user interfaces, and interfacing with pr

...gnition as well as domain-specific metacognitions in various task domains (mathematics, physics, reading, writing etc.) will be considered. ...layed effects of meta-cognitive instruction on regulation of cognition and mathematics achievement.] 3:147-157.

{{r|Mathematics}} {{r|Proof (mathematics)}}

In [[mathematics]], an '''ordered structure''' is an [[algebraic structure]] which possesses

* [[e (mathematics)]] - the constant that serves as the basis for the exponential function.

...emely important in certain branches of mathematics such as [[optimization (mathematics)|optimization]] and [[approximation theory]]. As another example, any compl

{{rpl|Base (mathematics)}}

...l=http://en.citizendium.org/wiki?title=Complex_number&oldid=100097396|cat1=Mathematics|date=May 6, 2007}} | cat1 = Mathematics

{{rpl|Ring (mathematics)}}

...butions to [[projective geometry]], [[probabilities]], and [[combinatorial mathematics]]. In physics, he studied [[fluid]]s, clarifying the concepts of [[pressure === Mathematics ===

In mathematics, the '''permanent''' of a [[matrix]] is the sum of all possible products of

{{rpl|Vector (mathematics)}}

| title = Elements of mathematics: Theory of sets | title = Practical foundations of mathematics

{{rpl|Group (mathematics)}}

{{r|Term (mathematics)}}

{{rpl|Word (mathematics)}}

{{rpl|standard (mathematics)}}

*[[/Eponyms in mathematics]]

{{r|smooth (mathematics)}}

In [[ring theory]], a '''differential ring''' is a [[ring (mathematics)|ring]] with added structure which generalises the concept of [[derivative] ...is a ring ''R'' with an operation ''D'' on ''R'' which is a [[derivation (mathematics)|derivation]]:

In [[mathematics]], '''dimension''' may refer to:

In [[set theory]], a '''singleton''' is a [[set (mathematics)|set]] with exactly one element:

{{r|Filter (mathematics)}}

{{r|Proof (mathematics)}}

In [[mathematics]], a '''generating function''' is a [[function (mathematics)|function]] for which the definition "encodes" values of a sequence, allowi

| cat1 = Mathematics

{{r|Operator (mathematics)}}

{{r|Absorption (mathematics)}}

In mathematics, scalar product is a type of vector multiplication. More precisely it may r

| cat1 = Mathematics

{{r|Space (mathematics)}}

...k|author=Stan Gibilisco and Norman H. Crowhurst|title= Mastering Technical Mathematics|edition=3rd Edition|publisher=McGraw-Hill|year=2007|id=ISBN 0-07-149448-0}} *{{cite book | title = Mathematics: from the birth of numbers. | author = Gullberg, Jan | publisher = W. W. N

| cat1 = Mathematics

| cat1 = Mathematics

{{r|Support (mathematics)}}

It is named after Professor George Barnard (1915-2002), a professor of [[mathematics]] at the [[University of Essex]].

In [[mathematics]], an '''ordered pair''' is a pair of elements in which order is significan ...s | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[Van Nostrand Reinhold]] | year=1960 | pages=22-25 }}

A function of two elements within a [[set (mathematics)|set]], which assigns another value from among the elements of the set.

*In [[mathematics]]:

* Existence of an identity element is one of the properties of a [[group (mathematics)|group]] or [[monoid]]. * [[Identity (mathematics)]]

...s | title=Naive set theory | series=The University Series in Undergraduate Mathematics | publisher=[[Van Nostrand Reinhold]] | year=1960 }} Chapter 7. ...| authorlink=Ian Stewart | coauthors=David Tall | title=The Foundations of Mathematics | publisher=[[Oxford University Press]] | year=1977 | isbn=0-19-853165-6 }}

...ite odd looking because it used many non-keyboard characters borrowed from mathematics, these characters were repurposed for programming operations. The oddity of

| cat3 = Mathematics

...=Elliptic Curves | publisher=[[Springer-Verlag]] | series=Lecture Notes in Mathematics | volume=326 | isbn=0-387-06309-9 }} ...man | title=The Arithmetic of Elliptic Curves | series=[[Graduate Texts in Mathematics]] | volume=106 | publisher=Springer-Verlag | year=1986 | isbn=0-387-96203-4

{{r|Discrete mathematics}} {{r|Mathematics}}

In [[mathematics]], in the field of [[group theory]], the '''Baer-Specker group''', or '''Sp ...riffith | title=Infinite Abelian group theory | series=Chicago Lectures in Mathematics | publisher=University of Chicago Press | year=1970 | isbn=0-226-30870-7 |

...té des Sciences was instituted in 1809, he was appointed professor of pure mathematics. Poisson's most important work concerned the application of mathematics to electricity and magnetism, [[potential theory]], and other parts of phys

...concept of a '''limit''' is used to describe the behavior of a [[function (mathematics)|function]] as its [[argument]] either "gets close" to some point, or as it * [[Limit (mathematics)]]

...]]s, but in keeping with the modern definition of [[function (mathematics)|mathematics]], it is most convenient to identify an equvialence relation with the sets ...property. We can formalise this by saying that if ''f'' is a [[function (mathematics)|function]] defined on the set ''X'', we define the relation <math>\stackre

{{rpl|Environment (mathematics)}}

{{rpl|Partition (mathematics)}}

...a '''normed space''' is a [[vector space]] that is endowed with a [[norm (mathematics)|norm]]. A [[completeness|complete]] normed space is called a [[Banach spac

{{rpl|Operation (mathematics)}}

In mathematics:

*[[Field (mathematics)]]

...aking. Their subjects include graph theory and its applications, nonlinear mathematics, analytical planning, and game theory and conflict resolution. ...Tricomi Equation"). Post-graduate study, University of Paris, 1952-53. MA, Mathematics, Yale University, 1951. MS, Physics, Catholic University of America, 1949.

{{r|Mathematics}} {{r|Residue (mathematics)|Residue}}

In addition to that, in mathematics, a '''zero''' of a function is any value of the argument However, in modern mathematics, it is convenient and usual to consider zero as a natural number

...tributions to the development of science, especially to the foundations of mathematics.

In [[group theory]], a '''Sylow subgroup''' of a [[group (mathematics)|group]] is a [[subgroup]] which has [[Order of a subgroup|order]] which is ...hbacher | title=Finite Group Theory | series=Cambridge studies in advanced mathematics | volume=10 | edition=2nd ed | year=2000 | isbn=0-521-78675-4 | pages=19 }}

...a '''series''' is a [[chain (mathematics)]] of [[subgroup]]s of a [[group (mathematics)|group]] ordered by [[subset]] [[inclusion]]. The structure of the group i

...)|operation]] defined on an [[algebraic struture]] to a set of [[function (mathematics)|functions]] taking values in that structure.

== Mathematics ==

...f sets, we never actually reach this final stage; rather, it is a [[limit (mathematics)|limiting]] case.

In [[mathematics]], a '''cyclotomic field''' is a [[Field theory (mathematics)|field]] which is an [[field extension|extension]] generated by [[root of u ...lor | title=Algebraic number theory | series=Cambridge studies in advanced mathematics | volume=27 | publisher=[[Cambridge University Press]] | year=1991 | isbn=0

*In [[mathematics]], the term ''element'' is mainly used in [[set theory]], and in various co

| cat1 = Mathematics

...lex analysis]], a '''pole''' is a type of [[singularity]] of a [[function (mathematics)|function]] of a [[complex number|complex]] variable. In the neighbourhood where the leading coefficient <math>c_{-k} = r</math>. The [[residue (mathematics)|residue]] of ''f'' is the coefficient <math>c_{-1}</math>.

...timization (mathematics)|Optimization techniques]] were key, coming from [[mathematics]], [[economics]], [[game theory]]. Extensive use was made of techniques suc

In mathematics:

...on''' is a sequence which is used to describe the structure of a [[module (mathematics)|module]]. * [[Resolution (mathematics)]]

...as [[group (mathematics)|groups]], [[ring (mathematics)|rings]], [[field (mathematics)|fields]], [[lattice (order)|lattices]] or [[ordered set]]s.

{{r|Knot (mathematics}}

* [[Identity (mathematics)]], where the term has several meanings

...ation''' is a property which holds between certain elements of some [[set (mathematics)|set]] or sets. Examples include [[equality]] between numbers or other qua ...]]s, but in keeping with the modern definition of [[function (mathematics)|mathematics]], it is most convenient to identify a relation with the set of values for

Edward Kasner and James R. Newman, ''Mathematics and the Imagination''

...ht structure that allows construction of non-trivial and useful [[measure (mathematics)|measures]] on which a rich theory of [[Lebesgue integral|(Lebesgue) integr [[Measure (mathematics)|Measure]]

{{r|Mathematics}}

{{r|root (mathematics)}}

...Linear equations are ubiquitous in [[applied mathematics|application]]s of mathematics. Equations involving a single variable appear in the simplest problems whe ...th systems of objects that can be added and multiplied together is [[ring (mathematics)|ring]] theory. One can define polynomials, and in particular quadratic po

In [[mathematics]], a '''bounded set''' is any [[set|subset]] of a [[normed space]] whose el Let ''X'' be a normed space with the [[norm (mathematics)|norm]] <math>\|\cdot\|</math>. Then a set <math>A \subset X</math> is boun

{{r|Series (mathematics)|Series}}

{{r|Language of mathematics}}

|journal=[[Mathematics of Computation]], ...sov. Computation of the Two Regular Super-Exponentials to base exp(1/e). [[Mathematics of computation]], in preparation, 2011.

{{r|Mathematics}}

...ons are chosen from several subjects, including [[English]], [[Mathematics|mathematics]], [[Geography|geography]], [[Chemistry|chemistry]], and others. Each quest

{{r|mathematics}}

* [[Mathematics]]

In [[mathematics]], a [[function (mathematics)]] is '''monotonic''' or '''monotone increasing''' if it preserves [[order

In mathematics, a '''hemisphere''' is half of a [[Sphere_(geometry)|sphere]]. It is the s

In [[mathematics]], in the field of arithmetic algebraic geometry, the '''Manin obstruction' ...rational points | author=Alexei Skorobogatov | series=Cambridge Tracts in Mathematics | volume=144 | year=2001 | isbn=0521802377 | pages=1-7,112 }}

...ematics]], '''function composition''' is the construction of a [[function (mathematics)|function]] out of two others by taking the value or output of one function

In [[mathematics]], a '''functional equation''' is an implicit way to specify some [[mathema Often, the functional equation relatte values of a [[function (mathematics)|function]] at different arguments. Usually, the solution of a functional e

{{r|Mathematics}}

In [[mathematics]]:

* For the complex mathematical analysis, see [[residue (mathematics)]]

{{r|Limit (mathematics)|Limit}}

...for a [[module (mathematics)|unital module]] <math>M</math> over a [[ring (mathematics)|ring with identity]] is a subset <math>A</math> of <math>M</math> such tha ...definition of a basis for a module is a subset of the module that [[span (mathematics)|span]]s the module and is [[linear independent]].

....0020439 Mathematics Is Biology's Next Microscope, Only Better; Biology Is Mathematics' Next Physics, Only Better.] PLoS Biol 2(12): e439. ...ppropriate mathematics can help interpret any kind of data. In this sense, mathematics is biology's next microscope, only better.

{{r|Mathematics}}

...ysics. The nephew of economist [[Thorstein Veblen]], Osvald Veblen taught mathematics at [[Princeton University]] beginning in 1905. In 1932, he helped organize ...on University campus in Old Fine Hall, along with the Princeton University mathematics department.

Concepts in mathematics which refer either to a partition of a set or an ordered partition of a set

{{r|solution (mathematics)}}

In [[mathematics]], '''chain''' may refer to:

{{r|Sequence (mathematics)|Sequence}}

{{r|Mathematics}}

...ishes a ''one-to-one correspondence'' between elements of two given [[Set (mathematics)|set]]s. Loosely speaking, all elements of the sets can be matched up in p ...infty),\ x\mapsto \sqrt{x}</math> exists. This procedure is very common in mathematics, especially in [[calculus]].

{{r|Language of mathematics}}

{{r|Field theory (mathematics)}}

{{r|basis (mathematics)}}

*[[Function (mathematics)]]

{{r|Class (set theory)|In mathematics}}

{{r|Mathematics}}

{{r|Measure (mathematics)|Measure}}

{{r|Applied mathematics}}

{{r|Mathematics}}

{{r|Operation (mathematics)}}

{{r|Mathematics}}

{{r|Mathematics||*}} {{r|Curvature (mathematics)}}

In [[mathematics]], in the area of [[combinatorial number theory]], the '''Erdős–Fuchs th ...nald J. Newman | title=Analytic number theory | series=[[Graduate Texts in Mathematics|GTM]] | volume=177 | year=1998 | isbn=0-387-98308-2 | pages=31-38 }}

{{r|Mathematics}}

{{r|Mathematics}}

...thematics]], '''convolution''' is a process which combines two [[function (mathematics)|functions]] on a set to produce another function on the set. The value of ...e a set with a [[binary operation]] <math>\circ</math> and ''R'' a [[ring (mathematics)|ring]]. Let ''f'' and ''g'' be functions from ''M'' to ''R''. The convol

In [[mathematics]], a '''measurable space''' is an [[ordered pair]] <math>\scriptstyle (\Ome

In mathematics, a '''finite set''' simply is [[set]] which has finitely many elements, The definition can be formalised in terms of [[Function (mathematics)|function]]s. A set ''X'' is finite if and only if, for any function ''f''

In common parlance, '''geometry''' is a branch of mathematics that studies the relationships between figures such as [[point (geometry)| ...e formal structure of geometry, including the use of mathematical [[proof (mathematics)|proof]]s to demonstrate claims, and distinguishing between [[axiom]]s (and

{{r|Measure (mathematics)}}

...rg/millennium/P_vs_NP/ P vs NP Problem] (at [http://www.claymath.org/ Clay Mathematics Institute])

...rg/millennium/P_vs_NP/ P vs NP Problem] (at [http://www.claymath.org/ Clay Mathematics Institute])

{{r|Mathematics}}

{{r|Interval (mathematics)|Interval}}

{{r|Mathematics}}

{{r|Distribution (mathematics)|Distribution}}

...title=Algebraic Functions and Projective Curves | series=Graduate Texts in Mathematics | volume=215 | publisher=Springer-Verlag | year=2003 | isbn=0-387-95432-5 |

...s of systematic computation which had broad philosophical impact ouside of mathematics. ...chine. This led to some of the earliest '''undecidability''' results in mathematics which established that certain problems could never be solved by any means.

| publisher = [[Jagellonian University]] - Institute of Mathematics | publisher = Korteweg-de Vries Institute for Mathematics

* Physical and celestial mathematics, Boston: Little, Brown (1855). * Benjamin Peirce: “Father of Pure Mathematics” in America, (I. Bernard Cohen, ed.), New York: Arno Press. [Photoreprint