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...describe a linear [[transformation]] between a stationary reference frame and a reference frame in [[constant velocity]]. The equations are given by [[Category:Functions and mappings]] ...

...ample of a multifunction: the input 3 is associated with both the output b and the output c.]] ...ample: <math>\sqrt{4}</math> could be 2 or -2 because <math>2^2 = 4</math> and <math>(-2)^2 = 4</math>. ...

...average of the function at those points. Also, a function is convex [[if and only if]] its [[epigraph (mathematics)|epigraph]] is a [[convex set]]. [[Category:Functions and mappings]] ...

...ing language]]s and other programming languages with support for anonymous functions (those which support [[Closure_(computer_science)#Closures_and_first-class_ ...to write boost lambda is to include <boost/lambda/lambda.hpp> header file, and using namespace boost::lambda, i.e. ...

...87964126 | year=1987| page=51}}</ref><ref>{{cite book|title=Linear Algebra and Its Applications, 2nd ed.|last1=Lax|first1=Peter|publisher=Wiley|isbn=978-0 ...e a ''linear mapping'' if for any two vectors '''x''' and '''y''' in ''V'' and any scalar α in ''K'', the following two conditions are satisfied: ...

...Y) to represent the three parts of the function, the domain, the codomain and the pairing process. ...ary that the pairing is given by an equation. The main idea is that inputs and outputs are paired up somehow even if the process is very complicated or no ...

...metimes called the Newton–Raphson method, named after Sir [[Isaac Newton]] and Joseph Raphson. Here x_n is the initial guess and x_n+1 is the next guess. The function f (whose zero is being solv ...

...'' shows the value of ζ(''s''): strong colors are for values close to zero and [[hue]] encodes the value's [[complex number|argument]]. ...s the pole of the zeta function; the black spots on the negative real axis and on the critical line Re(''s'') = 1/2 are its zeros.]] ...

Let <math>A</math> and <math>B</math> be two finite sets. The cardinality of their union is For three sets <math>A</math>, <math>B</math>, and <math>C</math>, the cardinality of the union of these three sets is compute ...

...that ''f''(''a'')=''b''. This means that the [[range (mathematics)|range]] and codomain of ''f'' are the same set.<ref>{{cite web|url=http://mathworld.wo ...dvanced mathematics. The French prefix ''sur'' means ''above'' or ''onto'' and was chosen since a surjective function maps its domain '''on to''' its codo ...

Let <math>A</math> and <math>B</math> be two finite sets. The cardinality of their union is For three sets <math>A</math>, <math>B</math>, and <math>C</math>, the cardinality of the union of these three sets is compute ...

Let <math>A</math> and <math>B</math> be two finite sets. The cardinality of their union is For three sets <math>A</math>, <math>B</math>, and <math>C</math>, the cardinality of the union of these three sets is compute ...

Let <math>A</math> and <math>B</math> be two finite sets. The cardinality of their union is For three sets <math>A</math>, <math>B</math>, and <math>C</math>, the cardinality of the union of these three sets is compute ...

Let <math>A</math> and <math>B</math> be two finite sets. The cardinality of their union is For three sets <math>A</math>, <math>B</math>, and <math>C</math>, the cardinality of the union of these three sets is compute ...

Let <math>A</math> and <math>B</math> be two finite sets. The cardinality of their union is For three sets <math>A</math>, <math>B</math>, and <math>C</math>, the cardinality of the union of these three sets is compute ...

...mathbf Z/p^n \mathbf Z </math>, where ''p'' is the fixed [[prime number]] and <math> n = 1,2, \dots </math>. We can express this by [[Pontryagin duality] Let <math>\zeta</math> be a primitive <math> p</math>-th root of unity and look at the following tower of number fields: ...

...nbsp;:&nbsp;''A'' → ''B'' that is both an [[injective function|injection]] and a [[surjective function|surjection]]. This means: for every element ''b'' i ...r=2010 |language=English|accessdate=February 2014}}</ref> In the 1930s, he and a group of other mathematicians published a series of books on modern advan ...

*The function ''y''=''c'' has 2 [[variable| variables]] ''x'' and ''у'' and 1 [[constant]] ''c''. (In this form of the function, we do not see ''x'', b ...'B'' is a constant function if ''f''(''a'') = ''f''(''b'') for every ''a'' and ''b'' in ''A''.<ref>{{cite web|url=http://planetmath.org/ConstantFunction.h ...

...''. It is slanted so ''m''&ne;0. See examples with actual values for ''m'' and ''b'' below.)]] ...df|title=The Calculus of Functions of Several Variables, Linear and Affine Functions|last1=Sloughter|first1=Dan|year=2001|language=English|accessdate=February 2 ...

...r=2010 |language=English|accessdate=February 2014}}</ref> In the 1930s, he and a group of other mathematicians published a series of books on modern advan ...owever, a '''1-1 correspondence''' is a bijective function (both injective and surjective). This is confusing, so be careful.<ref>{{cite web|url=http://ma ...