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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
- 1,000 bytes (162 words) - 04:18, 30 October 2008
- | pagename = Exponential function | abc = Exponential function2 KB (226 words) - 07:21, 15 March 2024
- 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
- | pagename = Exponential function | abc = Exponential function2 KB (226 words) - 07:21, 15 March 2024
- ...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
- ...al to its derivative. This isn't quite right; and constant multiple of the exponential function works too. I'll try to find a way to make it correct without being ugly. [[3 KB (423 words) - 09:06, 14 March 2008
- ...</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
- At least [[tetration]] (case of exponential function <math>g</math>) seems to be naturally extendable for the complex values.9 KB (1,351 words) - 03:46, 22 November 2023
- ...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
- ...tary function|elementary mathematical function]] which is inverse to the [[exponential function]] of a given base, i.e. it returns the number which would appear as the exp .... Another idea would be to include in the same article material about the exponential function and the number e. Actually, I'm starting to feel that that would be a good16 KB (2,648 words) - 22:41, 3 January 2009
- specific preperties of exponential function are not used; and the24 KB (4,084 words) - 03:46, 22 November 2023
- 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
- *[[Exponential function]] *[[Exponential function]]14 KB (1,400 words) - 10:51, 4 October 2013
- 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
- :"'''Logarithm''' or log, is [[mathematical function]], inverse of [[exponential function]], [[holomorphic]] in the whole complex plane, except [[singularity]] at ze ...ntence" '''Logarithm''' or log, is [[mathematical function]], inverse of [[exponential function]]." Then, the numerical examples should be in the section "examples", and t22 KB (3,459 words) - 10:49, 7 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
- ...is/calculus. The specific example given is establishing convergence of the exponential function. This is an important point, and I'm reluctant to just delete it, but it is9 KB (1,382 words) - 17:02, 5 March 2024
- |align=left|= the exponential function17 KB (2,616 words) - 04:25, 22 November 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
- :::# "we could have avoided the use of the exponential function here, but only at the cost of more complicated algebra" (at the start of th84 KB (14,397 words) - 17:02, 5 March 2024