User contributions
(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)
- 15:12, 27 June 2017 (diff | hist) . . (+80) . . Mersenne numbers (current)
- 20:35, 25 June 2017 (diff | hist) . . (+134) . . N The Petr function is continuous (Created page with "==Theorem== The Petr function is continuous on $(0,1)$. ==Proof== ==References== Category:Theorem Category:Unproven") (current)
- 20:34, 25 June 2017 (diff | hist) . . (+146) . . N The Petr function is nowhere differentiable (Created page with "==Theorem== The Petr function is nowhere differentiable on $(0,1)$. ==Proof== ==References== Category:Theorem Category:Unproven") (current)
- 20:34, 25 June 2017 (diff | hist) . . (-339) . . Petr function (→Properties) (current)
- 20:28, 25 June 2017 (diff | hist) . . (+35) . . Polylogarithm (current)
- 20:28, 25 June 2017 (diff | hist) . . (-84) . . Logarithm
- 20:28, 25 June 2017 (diff | hist) . . (+35) . . Logarithmic integral
- 20:27, 25 June 2017 (diff | hist) . . (+35) . . Dilogarithm
- 20:25, 25 June 2017 (diff | hist) . . (+586) . . N Logarithm and friends footer (Created page with "<center><strong>Logarithm and friends</strong></center> <div class="grid"> <div class="grid"><center>File:Dilogarithmthumb.png|45px|link=Dil...") (current)
- 20:25, 25 June 2017 (diff | hist) . . (-464) . . Main Page (→Logarithm function and friends)
- 20:24, 25 June 2017 (diff | hist) . . (-61) . . Jacobi theta 4 (current)
- 20:23, 25 June 2017 (diff | hist) . . (-61) . . Jacobi theta 3 (current)
- 20:23, 25 June 2017 (diff | hist) . . (-61) . . Jacobi theta 2 (current)
- 20:23, 25 June 2017 (diff | hist) . . (-62) . . Jacobi theta 1 (current)
- 20:23, 25 June 2017 (diff | hist) . . (+718) . . N Jacobi theta footer (Created page with "<center><strong>Jacobi theta functions</strong></center> <div class="grid"> <div class="grid"><center>Jacobi theta 1|<randomimagebycategory categorie...") (current)
- 20:22, 25 June 2017 (diff | hist) . . (-1) . . Main Page (→Jacobi theta functions)
- 20:22, 25 June 2017 (diff | hist) . . (-612) . . Main Page (→Jacobi theta functions)
- 20:15, 25 June 2017 (diff | hist) . . (-129) . . Logarithm
- 20:14, 25 June 2017 (diff | hist) . . (+49) . . Logarithm
- 20:14, 25 June 2017 (diff | hist) . . (+51) . . Logarithm
- 20:14, 25 June 2017 (diff | hist) . . (+61) . . Logarithm
- 20:14, 25 June 2017 (diff | hist) . . (+52) . . Logarithm
- 20:14, 25 June 2017 (diff | hist) . . (+43) . . Logarithm
- 20:13, 25 June 2017 (diff | hist) . . (+39) . . Logarithm
- 20:13, 25 June 2017 (diff | hist) . . (+38) . . Logarithm
- 20:13, 25 June 2017 (diff | hist) . . (+32) . . Logarithm
- 20:13, 25 June 2017 (diff | hist) . . (+30) . . Logarithm
- 20:12, 25 June 2017 (diff | hist) . . (+38) . . Logarithm
- 20:12, 25 June 2017 (diff | hist) . . (+32) . . Logarithm
- 20:11, 25 June 2017 (diff | hist) . . (+607) . . Book:Milton Abramowitz/Handbook of mathematical functions
- 20:09, 25 June 2017 (diff | hist) . . (+555) . . N Log((1+z)/(1-z)) as continued fraction (Created page with "==Theorem== The following formula holds for $z \in \mathbb{C} \setminus \left[ (-\infty,-1) \bigcup (1,\infty) \right]$: $$\log \left( \dfrac{1+z}{1-z} \right) = \cfrac{2z}{1-...")
- 20:04, 25 June 2017 (diff | hist) . . (+516) . . N Log(1+z) as continued fraction (Created page with "==Theorem== The following formula holds for any $z \in \mathbb{C} \setminus (-\infty,-1)$: $$\log(1+z)=\cfrac{z}{1+\cfrac{z}{2+\cfrac{z}{3+\cfrac{4z}{4+\cfrac{4z}{5+\cfrac{9z}...") (current)
- 19:59, 25 June 2017 (diff | hist) . . (+407) . . N Abs(log(1+z)) less than or equal to -log(1-abs(z)) (Created page with "==Theorem== The following formula holds for $|z|<1$: $$\left| \log(1+z) \right| \leq - \log(1-|z|),$$ where $\log$ denotes the logarithm. ==Proof== ==References== * {{Bo...") (current)
- 19:57, 25 June 2017 (diff | hist) . . (+432) . . N Log(x) less than or equal to n(x^(1/n)-1) (Created page with "==Theorem== The following formula holds for $x>0$ and $n>0$: $$\log(x) \leq n \left( x^{\frac{1}{n}} - 1 \right),$$ where $\log$ denotes the logarithm. ==Proof== ==Refer...") (current)
- 19:56, 25 June 2017 (diff | hist) . . (+377) . . N Log(x) less than or equal to x-1 (Created page with "==Theorem== The following formula holds for $x>0$: $$\log(x) \leq x-1,$$ where $\log$ denotes the logarithm. ==Proof== ==References== * {{BookReference|Handbook of mathe...") (current)
- 19:54, 25 June 2017 (diff | hist) . . (+402) . . N Abs(log(1-x)) less than 3x/2 (Created page with "==Theorem== The following formula holds for $0<x \leq 0.5828$: $$\left| \log(1-x) \right| < \dfrac{3x}{2},$$ where $\log$ denotes the logarithm. ==Proof== ==References==...") (current)
- 19:53, 25 June 2017 (diff | hist) . . (+3) . . -log(1-x) less than x/(1-x) (current)
- 19:52, 25 June 2017 (diff | hist) . . (+378) . . N -log(1-x) less than x/(1-x) (Created page with "==Theorem== The following formula holds for $x<1$ and $x\neq 0$: $$-\log(1-x) < \dfrac{x}{1-x},$$ where $\log$ denotes the logarithm. ==Proof== ==References== * {{BookRe...")
- 19:51, 25 June 2017 (diff | hist) . . (+367) . . N X less than -log(1-x) (Created page with "==Theorem== The following formula holds for $x<1$ and $x \neq 0$: $$x < -\log(1-x),$$ where $\log$ denotes the logarithm. ==Proof== ==References== * {{BookReference|Hand...") (current)
- 19:50, 25 June 2017 (diff | hist) . . (+350) . . N Log(1+x) less than x (Created page with "==Theorem== The following formula holds for $x>-1$: $$\log(1+x)<x,$$ where $\log$ denotes the logarithm. ==Proof== ==References== * {{BookReference|Handbook of mathemati...") (current)
- 19:49, 25 June 2017 (diff | hist) . . (+363) . . N X/(1+x) less than log(1+x) (Created page with "==Theorem== The following formula holds for $x>-1$: $$\dfrac{x}{1+x} < \log(1+x),$$ where $\log$ denotes the logarithm. ==Proof== ==References== * {{BookReference|Handbo...") (current)
- 19:47, 25 June 2017 (diff | hist) . . (+8) . . Euler-Mascheroni constant
- 19:47, 25 June 2017 (diff | hist) . . (+2) . . Euler-Mascheroni constant
- 19:47, 25 June 2017 (diff | hist) . . (+161) . . Euler-Mascheroni constant
- 19:46, 25 June 2017 (diff | hist) . . (+425) . . N Limit of x^a log(x)=0 (Created page with "==Theorem== The following formula holds for $a \in \mathbb{C}$ with $\mathrm{Re}(a)>0$: $$\displaystyle\lim_{x \rightarrow 0^+} x^a \log(x)=0,$$ where $\log$ denotes the log...") (current)
- 19:43, 25 June 2017 (diff | hist) . . (+474) . . N Limit of log(x)/x^a=0 (Created page with "==Theorem== The following formula holds for $a \in \mathbb{C}$ with $\mathrm{Re}(a)>0$: $$\displaystyle\lim_{x \rightarrow \infty} \dfrac{\log(x)}{x^a} = 0,$$ where $\log$ den...") (current)
- 19:38, 25 June 2017 (diff | hist) . . (-14) . . Logarithm (→Properties)
- 19:38, 25 June 2017 (diff | hist) . . (+46) . . Logarithm
- 19:36, 25 June 2017 (diff | hist) . . (+34) . . Logarithm base a (current)
- 19:36, 25 June 2017 (diff | hist) . . (+34) . . Logarithm
(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)
