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- The '''exponential function''' of <math>z</math>, denoted by <math> \exp(z)</math> or <font style="vert The study of the exponential function began with [[Leonhard Euler]] around 1730.<ref>William Dunham, ''Euler, the6 KB (1,021 words) - 12:18, 11 June 2009
- 142 bytes (21 words) - 05:53, 29 October 2008
- Auto-populated based on [[Special:WhatLinksHere/Exponential function]]. Needs checking by a human.837 bytes (109 words) - 16:27, 11 January 2010
Page text matches
- {{r|Exponential function}}2 KB (260 words) - 08:13, 9 December 2009
- #redirect[[exponential function]]33 bytes (3 words) - 04:21, 29 October 2008
- Auto-populated based on [[Special:WhatLinksHere/Exponential function]]. Needs checking by a human.837 bytes (109 words) - 16:27, 11 January 2010
- ...to solve equations in which the unknown appears both outside and inside an exponential function or a logarithm.152 bytes (22 words) - 10:36, 24 January 2009
- *[[exponential function]]1 KB (175 words) - 08:22, 12 February 2009
- {{r|Exponential function}}547 bytes (68 words) - 19:27, 11 January 2010
- * [[e (mathematics)]] - the constant that serves as the basis for the exponential function.192 bytes (31 words) - 12:43, 31 May 2009
- ...functions]] as well as the most basic [[transcendental functions]]: the [[exponential function]], the [[logarithm]], the [[trigonometric function|trigonometric functions] ====Exponential function====8 KB (1,289 words) - 13:46, 26 May 2009
- |[[Exponential function]]8 KB (1,184 words) - 14:58, 8 December 2009
- The '''exponential function''' of <math>z</math>, denoted by <math> \exp(z)</math> or <font style="vert The study of the exponential function began with [[Leonhard Euler]] around 1730.<ref>William Dunham, ''Euler, the6 KB (1,021 words) - 12:18, 11 June 2009
- ...tal]], ''e'' is the base of the [[natural logarithm]]s. Its inverse, the [[exponential function]] for K and C constants. For this reason, the exponential function plays a central role in [[analysis]].3 KB (527 words) - 12:19, 16 March 2008
- For example, the [[exponential function|exponential]] never takes on the value 0.6 KB (827 words) - 14:44, 19 December 2008
- {{r|Exponential function}}547 bytes (71 words) - 14:07, 8 March 2024
- ...</math>, is one such object, whereas one can prove that the graph of the [[exponential function]]---all solutions <math>(x,y)</math> of the equation <math>y - e^x = 0</mat2 KB (287 words) - 10:43, 11 June 2009
- ...an [[eigenvector]] with [[eigenvalue]] equal to unity. For instance, the [[exponential function]] is a fixed point of the [[differential operator]] because the derivative10 KB (1,562 words) - 07:20, 13 November 2013
- ...in [[calculus]] that this law requires that the quantity is given by the [[exponential function]], if we use the correct time scale. This explains the name. This image shows a slightly more complicated example of an exponential function overtaking subexponential functions:14 KB (2,099 words) - 13:37, 10 April 2024
- and so are [[sine]], [[cosine]] and the [[exponential function]]. ...metric functions are in fact closely related to and can be defined via the exponential function using [[Eulers formula in complex analysis|Euler's formula]]).9 KB (1,434 words) - 15:35, 7 February 2009
- ...solve equations in which the unknown appears both outside and inside an [[exponential function]] or a [[logarithm]], such as <math>3x+2=e^x</math> or <math>x=\ln(4x)</mat14 KB (2,354 words) - 21:43, 25 September 2011
- The exponential function of an imaginary number is given as ...not [[one-to-one function|one-to-one]] and hence neither is this complex [[exponential function]]. Therefore it has no inverse function, as the concept of "function" is g19 KB (3,039 words) - 12:51, 7 March 2023
- The same [[Taylor series|series]] may be used to define the ''complex'' exponential function The complex exponential function has the important property that18 KB (3,028 words) - 17:12, 25 August 2013
- The same series may be used to define the ''complex'' exponential function The complex exponential function has the important property that20 KB (3,304 words) - 17:11, 25 August 2013
- ===Relationship to exponential function and complex numbers=== ...nary]] and real parts, respectively, of the [[exponential function|complex exponential function]] when its argument is purely imaginary:33 KB (5,179 words) - 08:26, 4 June 2010
- ...tetration is used to construct the holomorphic extension of the iterated [[Exponential function|exponential]] <math>\exp^c(z)</math> for the case of non-integer values of ...e})~</math> tetration <math>\mathrm{tet}_b(x)</math> grows faster than any exponential function. For this reason tetration has been proposed for the representation of huge65 KB (10,203 words) - 04:16, 8 September 2014
- Expressions involving [[exponential function]]s, like <math>2^x + 1</math>, are often mistaken for polynomials because o8 KB (1,242 words) - 02:01, 10 November 2009
- ...mple solution for factorials. Any combination of sums, products, powers, [[exponential function]]s or [[logarithm]]s with a fixed number of terms will not suffice to expre ...asing positive variable is simple: it grows quickly — faster than an exponential function. Asymptotically as <math>z\to\infty</math>, the magnitude of the gamma func32 KB (5,024 words) - 12:05, 22 December 2008
- As you probably know, we can compute the [[exponential function]] like this : <math> \scriptstyle e^x = \frac{x^0}{0!} + \frac{x^1}{1!} + \32 KB (4,192 words) - 18:42, 3 March 2024
- |align=left|= the exponential function '''<math>e</math>''', which equals approximately 2.71828, and is also known15 KB (2,295 words) - 11:45, 2 February 2023
- |align=left|= the exponential function '''<math>e</math>''', which equals approximately 2.71828, and is also known15 KB (2,338 words) - 11:43, 2 February 2023
- ...l reaction. According to Arrhenius' theory the speed of reaction depends [[exponential function|exponentially]] (very steeply) on the height of the energy (also known as t21 KB (3,174 words) - 07:31, 20 April 2024
- |align=left|= the [[exponential function]]13 KB (2,084 words) - 05:21, 3 September 2013
- For example, the standard series of the [[exponential function]]19 KB (2,948 words) - 10:07, 28 February 2024