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- 15:10, 6 October 2016 (diff | hist) . . (+28) . . Beta in terms of gamma (current)
- 15:10, 6 October 2016 (diff | hist) . . (+192) . . Beta in terms of sine and cosine
- 15:08, 6 October 2016 (diff | hist) . . (-58) . . Beta
- 15:08, 6 October 2016 (diff | hist) . . (-81) . . Beta
- 15:07, 6 October 2016 (diff | hist) . . (+2) . . Book:Milton Abramowitz/Handbook of mathematical functions (→Contents)
- 15:07, 6 October 2016 (diff | hist) . . (+113) . . Book:Milton Abramowitz/Handbook of mathematical functions (→Contents)
- 15:05, 6 October 2016 (diff | hist) . . (+381) . . N Beta in terms of power of t over power of (1+t) (Created page with "==Theorem== The following formula holds: $$B(x,y)=\displaystyle\int_0^{\infty} \dfrac{t^{x-1}}{(1+t)^{x+y}},$$ where $B$ denotes the beta function. ==Proof== ==Reference...")
- 15:03, 6 October 2016 (diff | hist) . . (+25) . . Beta
- 17:31, 5 October 2016 (diff | hist) . . (0) . . Limiting value of Fresnel C (current)
- 17:31, 5 October 2016 (diff | hist) . . (+64) . . Limiting value of Fresnel S (current)
- 17:30, 5 October 2016 (diff | hist) . . (+306) . . N Limiting value of Fresnel C (Created page with "==Theorem== The following formula holds: $$\displaystyle\lim_{x \rightarrow \infty} C(x) = \sqrt{\dfrac{\pi}{8}},$$ where $C$ denotes Fresnel C and $\pi$ denotes pi....")
- 17:26, 5 October 2016 (diff | hist) . . (+425) . . N Fresnel C in terms of erf (Created page with "==Theorem== The following formula holds: $$C(z)=\sqrt{\dfrac{\pi}{2}} \dfrac{1-i}{4} \left[ \mathrm{erf} \left( \dfrac{1+i}{\sqrt{2}} z \right) + i\mathrm{erf} \left( \dfrac{1...") (current)
- 17:25, 5 October 2016 (diff | hist) . . (+260) . . N Taylor series for Fresnel C (Created page with "==Theorem== The following formula holds: $$C(x) = \displaystyle\sum_{k=0}^{\infty} \dfrac{(-1)^k x^{4k+1}}{(2k)!(4k+1)},$$ where $C$ denotes Fresnel C and $(2k)!$ denotes...") (current)
- 17:23, 5 October 2016 (diff | hist) . . (+120) . . N Fresnel C is odd (Created page with "==Theorem== Fresnel C is an odd function. ==Proof== ==References== Category:Theorem Category:Unproven") (current)
- 17:23, 5 October 2016 (diff | hist) . . (+153) . . Fresnel C
- 17:22, 5 October 2016 (diff | hist) . . (+125) . . Fresnel C
- 17:21, 5 October 2016 (diff | hist) . . (+125) . . Fresnel S (→Videos) (current)
- 17:18, 5 October 2016 (diff | hist) . . (+244) . . N Limiting value of Fresnel S (Created page with "==Theorem== The following formula holds: $$\displaystyle\lim_{x \rightarrow \infty} S(x) = \sqrt{\dfrac{\pi}{8}},$$ where $S$ denotes Fresnel S and $\pi$ denotes pi....")
- 17:17, 5 October 2016 (diff | hist) . . (0) . . m Fresnel S in terms of erf (Tom moved page Fresnel S in terms of error function to Fresnel S in terms of erf) (current)
- 17:17, 5 October 2016 (diff | hist) . . (-11) . . Fresnel S (→Properties)
- 17:16, 5 October 2016 (diff | hist) . . (+425) . . N Fresnel S in terms of erf (Created page with "==Theorem== The following formula holds: $$S(z)=\sqrt{\dfrac{\pi}{2}} \dfrac{1+i}{4} \left[ \mathrm{erf} \left( \dfrac{1+i}{\sqrt{2}} z \right) - i \mathrm{erf} \left( \dfrac{...")
- 17:15, 5 October 2016 (diff | hist) . . (-44) . . Fresnel S (→Properties)
- 17:14, 5 October 2016 (diff | hist) . . (+276) . . N Taylor series for Fresnel S (Created page with "==Theorem== The following Taylor series holds: $$S(x)=\displaystyle\sum_{k=0}^{\infty} \dfrac{(-1)^k x^{4k+3}}{(2k+1)!(4k+3)},$$ where $S$ denotes Fresnel S and $(2k+1...") (current)
- 17:13, 5 October 2016 (diff | hist) . . (+133) . . N Fresnel S is odd (Created page with "==Theorem== The Fresnel S function is an odd function. ==Proof== ==References== Category:Theorem Category:Unproven") (current)
- 17:12, 5 October 2016 (diff | hist) . . (+209) . . Fresnel S
- 04:16, 4 October 2016 (diff | hist) . . (0) . . File:Complexversinplot.png (Tom uploaded a new version of "File:Complexversinplot.png") (current)
- 04:13, 4 October 2016 (diff | hist) . . (+131) . . Versine
- 04:13, 4 October 2016 (diff | hist) . . (+443) . . N File:Versinplot.png (Category:Plot <pre> #!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 x=np.arange(-10,10,0.001); f=np.vectorize(lambda x: 1-cos(x)) y=f(x) fig,...) (current)
- 04:12, 4 October 2016 (diff | hist) . . (+328) . . N File:Complexversinplot.png (Category:DomainColoring <pre> #!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: 1-cos(x),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{versin}(x)$.') pl...)
- 04:27, 3 October 2016 (diff | hist) . . (+2) . . Coversine (current)
- 04:27, 3 October 2016 (diff | hist) . . (+140) . . Coversine
- 04:27, 3 October 2016 (diff | hist) . . (+332) . . N File:Complexcoversinplot.png (Category:DomainColoring <pre> #!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: 1-sin(x),[-10,10],[-10,10],points=50000,verbose=True) plt.title(r'Domain coloring of $\mathrm{coversin}(x)$.')...) (current)
- 04:23, 3 October 2016 (diff | hist) . . (+447) . . N File:Coversinplot.png (Category:Plot <pre> #!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 x=np.arange(-10,10,0.001); f=np.vectorize(lambda x: 1-sin(x)) y=f(x) fig,...) (current)
- 04:16, 3 October 2016 (diff | hist) . . (+21) . . Taylor series for error function (current)
- 04:11, 3 October 2016 (diff | hist) . . (0) . . File:Cothplot.png (Tom uploaded a new version of "File:Cothplot.png") (current)
- 04:03, 3 October 2016 (diff | hist) . . (-32) . . Taylor series of the exponential function (current)
- 04:02, 3 October 2016 (diff | hist) . . (+13) . . Error function
- 04:01, 3 October 2016 (diff | hist) . . (+83) . . Error function
- 04:00, 3 October 2016 (diff | hist) . . (+28) . . Taylor series of the exponential function
- 03:59, 3 October 2016 (diff | hist) . . (+655) . . Taylor series for error function
- 03:54, 3 October 2016 (diff | hist) . . (-145) . . Series for erf with exponential factored out (current)
- 03:53, 3 October 2016 (diff | hist) . . (-26) . . Error function is odd
- 03:48, 3 October 2016 (diff | hist) . . (+2) . . Antiderivative of inverse error function (current)
- 03:41, 3 October 2016 (diff | hist) . . (+9) . . Integral of log of inverse erf from 0 to 1
- 15:52, 1 October 2016 (diff | hist) . . (-5) . . E is irrational (current)
- 15:52, 1 October 2016 (diff | hist) . . (+6) . . E is irrational
- 15:52, 1 October 2016 (diff | hist) . . (+11) . . E is irrational
- 15:51, 1 October 2016 (diff | hist) . . (+415) . . E is irrational
- 00:49, 1 October 2016 (diff | hist) . . (-139) . . Bohr-Mollerup theorem (current)
- 19:53, 30 September 2016 (diff | hist) . . (-10) . . Tanc (current)
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