Search results

Examples of periodic functions are the trigonometric functions [[sine]] and [[cosine]], which both have a period of <math>2\pi</math>. [[Category:Functions and mappings]] ...

[[File:SlantAsymptoteError.svg|thumb|The curve gets closer and closer to touching the asymptote (the red line) but never does.]] ...rational.html|website=dl.uncw.edu|access-date=March 8, 2018|title=Rational Functions}}</ref> ...

...ere might be a function which gives <math>2x</math> when <math>x>0</math>, and <math>x-1</math> when <math>x\leq0</math>. ...f>{{Cite web|title=Piecewise Functions|url=https://www.mathsisfun.com/sets/functions-piecewise.html|access-date=2020-08-24|website=www.mathsisfun.com}}</ref><re ...

...(2007). Numerical methods for special functions. [[Society for Industrial and Applied Mathematics]].</ref> ..., & Yoshida, M. (2013). From Gauss to Painlevé: a modern theory of special functions (Vol. 16). Springer Science & Business Media.</ref> ...

...lgebra00lang_748/page/n61 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 (number) α in ''K'', the following two conditions are satisfied: ...

[[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>. ...

...</math>. For example, <math>y=e^x</math> would turn to <math>x=e^y</math>, and then <math>\ln x =y</math>. This shows that the inverse function of <math>y ...e <math>|-1| = 1 = |1|</math>, and <math>f^{-1}(x)</math> cannot be both 1 and -1), but every [[binary relation]] has its own inverse relation. ...

...ages where [[Closure_(computer_science)#Closures_and_first-class_functions|functions are value]]s. ...to write boost lambda is to include <boost/lambda/lambda.hpp> header file, and using namespace boost::lambda, i.e. ...

...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]] ...

...with function f from X → Y, we have the two identities ''id_X'' and ''id_Y'', as well, having "○" denote [[function composition]]. We [[Category:Functions and mappings]] ...

...e{Geo}(p)</math>,<ref>{{cite web|date=2020-04-26|title=List of Probability and Statistics Symbols|url=https://mathvault.ca/hub/higher-math/math-symbols/pr [[Category:Functions and mappings]] ...

...e set of all values that <math>x</math> can have is called the ''domain'', and the set that contains every value that <math>y</math> can have is called th ...<math>Y</math>), and the pairing process (the arrow), or, the mapping from and to the sets. ...

...h>\pi</math>, the only root of <math>x^n</math> is 0, for 2x + 5 it's -2.5 and so on. Because [[polynomial]]s are also functions, [[polynomial root|roots]] are real things. ...

...nd highest values. For example. in {4, 6, 9, 3, 7}, the lowest value is 3, and the highest is 9, so the range is 9-3 = 6. [[Category:Functions and mappings]] ...

...describe a linear [[transformation]] between a stationary reference frame and a reference frame in [[constant velocity]]. The equations are given by: ...e velocity of the other reference frame, <math>t</math> representing time, and <math>c</math> the speed of light. ...

.... To indicate isomorphism between two structures <math>\mathcal{A}</math> and <math>\mathcal{B}</math>, one often writes <math>\mathcal{A} \cong \mathcal [[Category:Functions and mappings]] ...

...nput value to an output value. In the case of a matrix function, the input and the output values are [[Matrix (mathematics)|matrices]]. One example of a ...of matrices theory and computation. Philadelphia: [[Society for Industrial and Applied Mathematics]].</ref> ...

...tial.svg|right|thumb|Three different functions: Linear (red), Cubic (blue) and '''Exponential''' (green).]] ...al function''' is a [[Function (mathematics)|function]] that grows quicker and quicker. More precisely, it is the function <math>\exp(x) = e^x</math>, whe ...

In [[mathematics]], '''hyperbolic functions''' are analogues of the ordinary [[trigonometric function]]s, but defined f ...any linear [[differential equation]]s, [[Cubic function|cubic equations]], and [[Laplace's equation]] in [[Cartesian coordinates]]. [[Laplace's equation]] ...