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- ...al-align:-5%;"><math>c</math></font> is the logarithm. In other words, the logarithm <font style="vertical-align:-5%;"><math>c</math></font> is the [[Power law| ...address of a particular location in computer memory is equal to the base-2 logarithm (rounded upwards) of the number of possible locations. Logarithms are also19 KB (3,039 words) - 12:51, 7 March 2023
- == Logarithm article == ...tension of logarithms to fractional and negative values" and "Shape of the logarithm function", though, as that would disturb the connection between those two s16 KB (2,648 words) - 22:41, 3 January 2009
- == "A quasi-polynomial algorithm for discrete logarithm ..." ==369 bytes (54 words) - 22:39, 23 March 2014
- 151 bytes (20 words) - 09:11, 1 June 2008
- #REDIRECT[[Logarithm]]22 bytes (2 words) - 10:30, 25 October 2008
- #redirect [[logarithm]]23 bytes (2 words) - 17:33, 28 April 2007
- #REDIRECT [[Logarithm]]23 bytes (2 words) - 18:08, 28 April 2007
- Text books explaining the real logarithm:924 bytes (133 words) - 08:35, 31 October 2008
- | pagename = Logarithm | abc = Logarithm782 bytes (73 words) - 10:10, 31 October 2008
- 12 bytes (1 word) - 11:32, 4 November 2007
- '''Discrete logarithm''' is a problem of finding logarithms in a [[finite field]]. Given a field ...t exponentiation is relatively easy but the inverse operation, finding the logarithm, is hard. The cryptosystems are designed so that the user does only easy op5 KB (772 words) - 17:15, 6 August 2013
- 12 bytes (1 word) - 15:20, 21 January 2008
- {{r|Discrete logarithm}}237 bytes (29 words) - 08:06, 14 January 2009
- * [http://mathworld.wolfram.com/CommonLogarithm.html Common logarithm] (Wolfram's Mathworld website) *[http://www.math.utah.edu/~pa/math/log.html What on Earth is a logarithm?] ([[University of Utah]] website)423 bytes (56 words) - 20:49, 27 October 2008
- 88 bytes (12 words) - 22:16, 3 January 2009
- 179 bytes (28 words) - 23:17, 23 December 2007
- | pagename = Discrete logarithm | abc = Discrete logarithm819 bytes (65 words) - 12:05, 16 October 2010
- 205 bytes (30 words) - 16:32, 26 May 2023
- {{r|Logarithm}}307 bytes (40 words) - 11:59, 15 June 2009
- '''[[Fixed point]]s of [[logarithm]]''' to base <math>b</math> are solutions <math>L</math> of equation ...unction that expresses one of these solutions <math>L_1</math> through the logarithm of the base <math>b</math>3 KB (424 words) - 14:32, 9 September 2020
- 58 bytes (5 words) - 16:32, 26 May 2023
- | pagename = Fixed point of logarithm | abc = Fixed point of logarithm2 KB (330 words) - 07:06, 25 June 2023
Page text matches
- == "A quasi-polynomial algorithm for discrete logarithm ..." ==369 bytes (54 words) - 22:39, 23 March 2014
- * [http://mathworld.wolfram.com/CommonLogarithm.html Common logarithm] (Wolfram's Mathworld website) *[http://www.math.utah.edu/~pa/math/log.html What on Earth is a logarithm?] ([[University of Utah]] website)423 bytes (56 words) - 20:49, 27 October 2008
- #REDIRECT [[Logarithm]]23 bytes (2 words) - 18:08, 28 April 2007
- #REDIRECT[[Logarithm]]22 bytes (2 words) - 10:30, 25 October 2008
- #redirect [[logarithm]]23 bytes (2 words) - 11:25, 25 October 2008
- #redirect [[logarithm]]23 bytes (2 words) - 17:30, 28 April 2007
- #redirect [[logarithm]]23 bytes (2 words) - 11:25, 25 October 2008
- #redirect [[logarithm]]23 bytes (2 words) - 17:33, 28 April 2007
- #redirect [[logarithm]]23 bytes (2 words) - 17:34, 28 April 2007
- #redirect [[logarithm]]23 bytes (2 words) - 17:37, 28 April 2007
- #redirect[[Fixed point of logarithm]]37 bytes (5 words) - 04:25, 8 March 2012
- | pagename = Discrete logarithm | abc = Discrete logarithm819 bytes (65 words) - 12:05, 16 October 2010
- | pagename = Logarithm | abc = Logarithm782 bytes (73 words) - 10:10, 31 October 2008
- ...h the unknown appears both outside and inside an exponential function or a logarithm.152 bytes (22 words) - 10:36, 24 January 2009
- The (m + 1)th derivative of the logarithm of the gamma function.101 bytes (14 words) - 10:53, 4 September 2009
- '''[[Fixed point]]s of [[logarithm]]''' to base <math>b</math> are solutions <math>L</math> of equation ...unction that expresses one of these solutions <math>L_1</math> through the logarithm of the base <math>b</math>3 KB (424 words) - 14:32, 9 September 2020
- ...] code that defines function [[Filog]] that evaluates the [[fixed point of logarithm]] // for given complex value of logarithm of its base. The Filog(z) returns soluiton <math>L</math> of the equation2 KB (282 words) - 08:55, 2 October 2013
- ...se it has cutline at the negative part of the real axis. However, the same logarithm becomes839 bytes (128 words) - 10:05, 10 October 2013
- ...ber of primes up to some limit ''X'' is asymptotic to ''X'' divided by the logarithm of ''X''.137 bytes (22 words) - 10:56, 13 November 2008
- * In [[logarithm]]s, the base is the quantity raised to the power of the logarithm to return the given number.885 bytes (138 words) - 19:39, 31 January 2009
- ...Mathematical]] functions built from a finite number of [[exponential]]s, [[logarithm]]s, [[Constant (mathematics)|constant]]s, one [[Variable (mathematics)|vari368 bytes (40 words) - 14:18, 25 October 2008
- {{r|Discrete logarithm}}201 bytes (27 words) - 11:59, 15 June 2009
- {{r|logarithm}}132 bytes (16 words) - 08:13, 14 January 2009
- <noinclude>{{Subpages}}</noinclude>A graph of the complex logarithm of the [[transfer function]] of a linear, time-invariant system plotted wit309 bytes (48 words) - 20:30, 3 June 2011
- {{r|Logarithm}}307 bytes (40 words) - 11:59, 15 June 2009
- {{r|Discrete logarithm}}237 bytes (29 words) - 08:06, 14 January 2009
- ...transcendental number|transcendental]], ''e'' is the base of the [[natural logarithm]]s. Its inverse, the [[exponential function]] ...t" in honor of the Scottish mathematician [[John Napier]] who introduced [[logarithm]]s.3 KB (527 words) - 12:19, 16 March 2008
- {{r|Logarithm}}203 bytes (25 words) - 18:31, 26 October 2008
- {{r|Logarithm}}209 bytes (24 words) - 10:53, 6 November 2008
- {{r|Logarithm}}696 bytes (88 words) - 23:46, 23 May 2010
- {{r|Discrete logarithm}}483 bytes (61 words) - 19:50, 11 January 2010
- ...st basic [[transcendental functions]]: the [[exponential function]], the [[logarithm]], the [[trigonometric function|trigonometric functions]], and the [[hyperb ====Logarithm====8 KB (1,289 words) - 13:46, 26 May 2009
- {{r|Logarithm}}626 bytes (80 words) - 18:22, 11 January 2010
- ...ichter scale''' measures the strength of an [[earthquake]]. The scale is [[logarithm]]ic, so an earthquake of magnitude 6 is ten times more powerful than one of636 bytes (87 words) - 09:44, 13 January 2013
- {{r|Discrete logarithm}}608 bytes (77 words) - 15:58, 11 January 2010
- {{r|Logarithm}}682 bytes (88 words) - 10:48, 4 October 2013
- {{r|Discrete logarithm}}692 bytes (91 words) - 16:33, 11 January 2010
- {{r|Logarithm}}752 bytes (97 words) - 19:32, 11 January 2010
- | pagename = Fixed point of logarithm | abc = Fixed point of logarithm2 KB (330 words) - 07:06, 25 June 2023
- {{r|Logarithm}}802 bytes (105 words) - 17:42, 11 January 2010
- The fixed points of exponential and those of logarithm:843 bytes (106 words) - 23:11, 31 January 2009
- {{r|Discrete logarithm}}762 bytes (99 words) - 17:00, 11 January 2010
- {{r|Logarithm}}837 bytes (109 words) - 16:27, 11 January 2010
- {{r|Logarithm}}941 bytes (125 words) - 11:34, 11 January 2010
- {{r|Logarithm}}991 bytes (124 words) - 17:15, 11 January 2010
- * As an example, you could look at [[Logarithm/Related Articles]] ...nished to see "Elementary function" a subtopic of "Logarithm". Indeed, the logarithm is just one of the elementary functions; why "subtopic"? [[User:Boris Tsire5 KB (803 words) - 03:46, 1 July 2009
- ...ogarithm of Weierstrass's product for the gamma function, we can write the logarithm of the gamma function in the form of a series3 KB (488 words) - 10:34, 13 November 2007
- ==Fixed points of [[exponential]] and fixed points of [[logarithm]]== ...earched graphically. Fig.1 shows the graphical search of fixed points of [[logarithm]],10 KB (1,562 words) - 07:20, 13 November 2013
- The inverse function of the exponential is the [[logarithm]]; for any complex <math>z\ne 0</math>, the relation holds: Exponential also can be considered as inverse of logarithm, while the imaginary part of the argument is smaller than <math>\pi</math>:6 KB (1,021 words) - 12:18, 11 June 2009
- Text books explaining the real logarithm:924 bytes (133 words) - 08:35, 31 October 2008
- {{r|Natural logarithm}}2 KB (260 words) - 08:13, 9 December 2009
- ...nguish those that know maths by whether they use log or ln for the natural logarithm :-) But ln(z) is more common in the secondary schools (at least in my exper1,000 bytes (162 words) - 04:18, 30 October 2008
- '''Discrete logarithm''' is a problem of finding logarithms in a [[finite field]]. Given a field ...t exponentiation is relatively easy but the inverse operation, finding the logarithm, is hard. The cryptosystems are designed so that the user does only easy op5 KB (772 words) - 17:15, 6 August 2013
- ...ge|GaulegExample.png|right|300px|Fig.1. Example of estimate of precision: Logarithm of residual versus number <math>N</math> of terms in the right hand side of In Fig.1, the [[decimal logarithm]] of the modulus of the residual of the appdoximation of integral with Gaus4 KB (630 words) - 12:32, 11 June 2009
- * [[logarithm]]1 KB (195 words) - 03:33, 22 November 2023
- (* that isustrate graphical search of [[fixed point]]s of [[logarithm]] and those of [[exponential]] *)2 KB (213 words) - 04:12, 31 May 2008
- remembering that the derivative of the natural logarithm is given by Taking the exponent (the inverse function of the natural logarithm) of both sides of equation (2)6 KB (1,076 words) - 18:14, 27 August 2009
- The Diffie-Hellman method is based on the [[discrete logarithm]] problem and is secure unless someone finds an efficient solution to that Given a prime p and generator g (see [[discrete logarithm]]), Alice:6 KB (954 words) - 05:48, 8 April 2024
- == Logarithm article == ...tension of logarithms to fractional and negative values" and "Shape of the logarithm function", though, as that would disturb the connection between those two s16 KB (2,648 words) - 22:41, 3 January 2009
- ...per second (mm²/s) or [[centistokes]] (cSt) and '''ln''' is the [[natural logarithm]] (log<sub>e</sub>). It is important that the viscosity of each component o2 KB (292 words) - 02:53, 29 August 2008
- ...al-align:-5%;"><math>c</math></font> is the logarithm. In other words, the logarithm <font style="vertical-align:-5%;"><math>c</math></font> is the [[Power law| ...address of a particular location in computer memory is equal to the base-2 logarithm (rounded upwards) of the number of possible locations. Logarithms are also19 KB (3,039 words) - 12:51, 7 March 2023
- ...the complex argument. In this case, the representations through function [[Logarithm]] can be used.2 KB (283 words) - 09:25, 10 October 2013
- ...easure of how much the bit stream can be compressed due to redundancy. The logarithm to base 2 of ''1/p<sub>i</sub>'' is the number of bits that are needed to e5 KB (841 words) - 11:01, 26 September 2007
- ...iteration. It is a [[fractal]] with a [[Hausdorff dimension]] of [[Natural logarithm|ln]](2)/ln(3), which is approximately 0.63.2 KB (306 words) - 16:51, 31 January 2011
- |[[Logarithm|Natural logarithm]]8 KB (1,184 words) - 14:58, 8 December 2009
- Wow -- thanks for the graph at [[logarithm]]! It looks great! I just wrote the article a few hours ago and now it ha Here's the Matplotlib script I used to generate the logarithm graph:9 KB (1,465 words) - 21:49, 31 March 2010
- also, the representation through [[exponential]] and [[logarithm]] is appropriate. However, after discovery of [[exponential]] and [[logarithm]], by default, <math>z^a</math> is interpreted as <math>\exp(a \ln(z))</ma8 KB (1,339 words) - 13:11, 8 August 2021
- {{rpl|Complex logarithm}}3 KB (362 words) - 15:25, 31 October 2014
- ...e "Logarithm" article in the Citizendium at http://en.citizendium.org/wiki/Logarithm3 KB (419 words) - 23:52, 12 October 2010
- {{r|Logarithm}}3 KB (441 words) - 12:55, 13 November 2014
- ...as good Citizendium articles are supposed to. Your graphs (here and at [[logarithm]]) are better than the Wikipedia ones. --[[User:Catherine Woodgold|Catheri3 KB (470 words) - 05:58, 4 November 2007
- ...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)</math>. Such equations ...he Lambert ''W'' function can be understood by comparing it to the natural logarithm, the inverse of <math>e^w</math>. For large negative or positive <math>w</m14 KB (2,354 words) - 21:43, 25 September 2011
- The principal branch of the [[complex logarithm]] function is holomorphic on the [[Set (mathematics)|set]] '''C''' \ {''z'' and is therefore holomorphic wherever the logarithm log(''z'') is. The function 1/''z'' is holomorphic on {''z'' : ''z'' ≠ 09 KB (1,434 words) - 15:35, 7 February 2009
- * [[Logarithm]]6 KB (852 words) - 03:46, 22 November 2023
- [[logarithm]], [[tetration]] and [[Dirichlet function]] are namely [[mathematical funct == Your edits at logarithm ==22 KB (3,459 words) - 10:49, 7 March 2024
- The numbers most easily proved to be irrational are certain [[logarithm]]s. Suppose log<sub>2</sub> 3 is rational. That implies that it can4 KB (666 words) - 11:23, 3 October 2009
- ...nvential logarithms: it is sufficient to investigate properties of natural logarithm ln; then, any other can be expressed as <math>\log_b(z)=\ln(z)/\ln(b)</math and <math>L</math> is eigenvalue of logarithm, solution of equation24 KB (4,084 words) - 03:46, 22 November 2023
- ...n</math> numbers is prime (here, <math>\log n</math> denotes the [[natural logarithm]] of <math>n</math>). The formal statement of the Prime Number Theorem is4 KB (703 words) - 12:02, 13 November 2007
- * M.H.Hooshmand, (2008). "Infra logarithm and ultra power part functions". Integral Transforms and Special Functions ...compete with that of the conventional [[floating point]] ([[mantissa]], [[logarithm]]) representation, but this should be excellent tool for debugging of the a9 KB (1,508 words) - 02:59, 4 June 2011
- Take the natural logarithm and the limit for ''y'' → 05 KB (796 words) - 13:09, 24 December 2008
- ...new methods to extract the [[square root]] and to calculate the natural [[logarithm]] of a number. ...er]]s, namely [[nth root|numeric root]]s (like the [[square root]]s) and [[logarithm]]s.32 KB (4,192 words) - 18:42, 3 March 2024
- :<math>e\,</math> is approximately 2.7182818, the base of the [[natural logarithm]] (also called [[Euler's number]]) Taking the [[natural logarithm]] of the formula, gives us the more commonly used formula:<ref>[http://www.11 KB (1,729 words) - 05:20, 3 September 2013
- ...de plot is usually expressed as [[decibel]]s, that is, 20 times the common logarithm (20 log<sub>10</sub>) of the amplitude of the gain. ...seen as separate plots of the real and the imaginary parts of the complex logarithm of a complex gain, say ''A''(φ) = |''A''|e<sup>jφ</sup>. The Bode p24 KB (3,933 words) - 02:20, 14 October 2013
- ...'Jhone Neper'' in his time. Napier is most remembered as the inventor of [[logarithm]]s and "[[Napier's bones]]", (a multiplication tool using a set of numbered ...ms but his work remained unpublished until 1620</ref>. A number, n, is the logarithm of x to "base" b if <math>\scriptstyle x\,=\, b^n</math>. For common logari12 KB (1,843 words) - 13:57, 29 March 2009
- then taking the natural logarithm on both sides ...that <math>e^{x+y}=e^{y+x}</math> for all ''x'', ''y''. Taking the natural logarithm of the formula, gives us the more commonly used formula: <math>x+y=y+x.</ma11 KB (1,844 words) - 15:31, 14 October 2012
- |align=left|= [[Logarithm]] on base <math>e</math> |align=left|= Logarithm on base <math>e</math>12 KB (1,850 words) - 12:25, 30 April 2012
- [[square root]], [[logarithm]], [[function Gamma]], [[tetration]].6 KB (827 words) - 14:44, 19 December 2008
- |align=left|= the [[natural logarithm]] to the base [[e (mathematics)|e]] As can be seen from the above plot of the logarithm of the vapor pressure vs. the temperature for any given pure [[chemical com15 KB (2,372 words) - 00:31, 28 October 2013
- |align=left|= the [[natural logarithm]] to the base [[e (mathematics)|e]] As can be seen from the above plot of the logarithm of the vapor pressure vs. the temperature for any given pure [[chemical com15 KB (2,373 words) - 19:13, 5 August 2018
- ...d_C._Berkowitz#Approvals.3F | list]]. Some, such as [[RSA]] and [[discrete logarithm]], really need a math editor to improve or approve them. [[User:Sandy Harri5 KB (781 words) - 09:03, 17 February 2021
- ...can be omitted, as in the case of tetration, arctetration, exponential and logarithm. The [[natural pentation]] is8 KB (1,169 words) - 01:26, 9 September 2014
- The exponential convergence of discrete iteration of logarithm corresponds to the exponential asymptotic behavior and <math>L</math> is eigenvalue of logarithm, solution of equation65 KB (10,203 words) - 04:16, 8 September 2014
- '''Example.''' Consider the equation <math>e^s = x</math>. The ''logarithm of x'' is defined as the number ''s'' which satisfies the equation. ([[Madhava of Sangamagramma]], around 1400; [[James Gregory]], 1671); for [[logarithm]],15 KB (2,342 words) - 06:26, 30 November 2011
- ...ed by the following equation (which can be derived by taking the natural [[logarithm]] of the above): ...o [[Stimulus (physiology)|stimuli]], including human [[perception]], are [[logarithm|logarithmic]] responses, which are the inverse of exponential responses; th14 KB (2,099 words) - 13:37, 10 April 2024
- where ln(''P''<sub>2</sub>/''P''<sub>1</sub>) is the natural (base ''e'') [[logarithm]] of ''P''<sub>2</sub>/''P''<sub>1</sub>. We reiterate that for a gas-liqui9 KB (1,442 words) - 18:43, 19 February 2010
- The function "ln ''x''" is the [[natural logarithm]] (base e) of ''x'', and the function "exp ''x''" is e (approximately 2.718 |align=left|= the base of the natural logarithm = 2.718319 KB (3,081 words) - 13:47, 12 August 2013
- The function "ln ''x''" is the [[natural logarithm]] (base e) of ''x'', and the function "exp ''x''" is e (approximately 2.718 |align=left|= the base of the natural logarithm = 2.718319 KB (3,099 words) - 10:42, 8 April 2024
- ...Any combination of sums, products, powers, [[exponential function]]s or [[logarithm]]s with a fixed number of terms will not suffice to express <math>n!</math> ...ot an integer.<ref>Everywhere in this article, "log" denotes the [[natural logarithm]].</ref> Using standard theorems from [[mathematical analysis]], it can be32 KB (5,024 words) - 12:05, 22 December 2008
- *{{pl|Logarithm}}8 KB (1,003 words) - 04:25, 22 November 2023
- ...tion]] problem, while Diffie-Hellman and DSA are related to the [[discrete logarithm]] problem. More recently, [[elliptic curve cryptography]] has developed in8 KB (1,233 words) - 05:48, 8 April 2024
