-
+
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
diff --git a/doc/math.qbk b/doc/math.qbk
index 161d75185..ca58aaa9e 100644
--- a/doc/math.qbk
+++ b/doc/math.qbk
@@ -1,12 +1,13 @@
[article Boost.Math
[quickbook 1.4]
- [copyright 2007 Paul A. Bristow, Hubert Holin, John Maddock, Daryle Walker and Xiaogang Zhang]
+ [copyright 2006, 2007, 2008, 2009 John Maddock, Paul A. Bristow, Hubert Holin, Daryle Walker, Xiaogang Zhang, Bruno Lalande, Johan Råde, Gautam Sewani and Thijs van den Berg]
[license
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or copy at
[@http://www.boost.org/LICENSE_1_0.txt http://www.boost.org/LICENSE_1_0.txt])
]
[category math]
+ [authors [Maddock, John], [Bristow, Paul A.], [Holin, Hubert], [Walker, Daryle], [Zhang, Xiaogang], [Lalande, Bruno], [Råde, Johan], [Sewani, Gautam], [van den Berg, Thijs]]
[last-revision $Date$]
]
diff --git a/doc/sf_and_dist/distributions/laplace.qbk b/doc/sf_and_dist/distributions/laplace.qbk
index ce912480e..6f54d6384 100644
--- a/doc/sf_and_dist/distributions/laplace.qbk
+++ b/doc/sf_and_dist/distributions/laplace.qbk
@@ -40,16 +40,13 @@ probability density function:
The location and scale parameters are equivalent to the mean and
standard deviation of the normal or Gaussian distribution.
-The following graph illustrates the effect of the location
-parameter [mu][space] on the PDF. Note that the range of the random
+The following graph illustrates the effect of the
+parameters [mu][space] and [sigma][space] on the PDF.
+Note that the range of the random
variable remains \[-[infin],+[infin]\] irrespective of the value of the
location parameter:
-[graph laplace_pdf_mu]
-
-The next graph illustrates the effect of the scale parameter [sigma][space] on the PDF:
-
-[graph laplace_pdf_sigma]
+[graph laplace_pdf]
[h4 Member Functions]
diff --git a/doc/sf_and_dist/graphs/acosh.png b/doc/sf_and_dist/graphs/acosh.png
index 5bc420112..d64887943 100644
Binary files a/doc/sf_and_dist/graphs/acosh.png and b/doc/sf_and_dist/graphs/acosh.png differ
diff --git a/doc/sf_and_dist/graphs/acosh.svg b/doc/sf_and_dist/graphs/acosh.svg
index 907a81ad0..3b70317c0 100644
--- a/doc/sf_and_dist/graphs/acosh.svg
+++ b/doc/sf_and_dist/graphs/acosh.svg
@@ -19,41 +19,42 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-1
-2
-3
-4
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-6
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-9
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+
+
+
+
+
+
+
+1
+2
+3
+4
+5
+6
+7
+8
+9
+10
+
+0.5
+1
+1.5
+2
+2.5
+3
-acosh(z)
+
acosh(z)
-z
-
+z
+
diff --git a/doc/sf_and_dist/graphs/asinh.png b/doc/sf_and_dist/graphs/asinh.png
index 122e44aa7..2cdcfde57 100644
Binary files a/doc/sf_and_dist/graphs/asinh.png and b/doc/sf_and_dist/graphs/asinh.png differ
diff --git a/doc/sf_and_dist/graphs/asinh.svg b/doc/sf_and_dist/graphs/asinh.svg
index d6ddc9c7f..9e69dfda9 100644
--- a/doc/sf_and_dist/graphs/asinh.svg
+++ b/doc/sf_and_dist/graphs/asinh.svg
@@ -19,38 +19,39 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
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+
+
+0
+5
+10
+0
+-5
+-10
+
+0
+1
+2
+3
+0
+-1
+-2
-asinh(z)
+asinh(z)
-z
-
+z
+
diff --git a/doc/sf_and_dist/graphs/atanh.png b/doc/sf_and_dist/graphs/atanh.png
index 64991940e..188ae3e36 100644
Binary files a/doc/sf_and_dist/graphs/atanh.png and b/doc/sf_and_dist/graphs/atanh.png differ
diff --git a/doc/sf_and_dist/graphs/atanh.svg b/doc/sf_and_dist/graphs/atanh.svg
index a59207d38..a74ddba34 100644
--- a/doc/sf_and_dist/graphs/atanh.svg
+++ b/doc/sf_and_dist/graphs/atanh.svg
@@ -19,42 +19,43 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-0.5
-1
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--0.5
-0
-1
-2
-3
-4
-5
-0
--1
--2
--3
--4
--5
+
+
+
+
+
+
+
+0
+0.5
+1
+0
+-0.5
+
+0
+1
+2
+3
+4
+5
+0
+-1
+-2
+-3
+-4
+-5
-atanh(z)
+atanh(z)
-z
-
+z
+
diff --git a/doc/sf_and_dist/graphs/bernoulli_cdf.png b/doc/sf_and_dist/graphs/bernoulli_cdf.png
index f4e7e37dc..456fb4c85 100644
Binary files a/doc/sf_and_dist/graphs/bernoulli_cdf.png and b/doc/sf_and_dist/graphs/bernoulli_cdf.png differ
diff --git a/doc/sf_and_dist/graphs/bernoulli_cdf.svg b/doc/sf_and_dist/graphs/bernoulli_cdf.svg
index 70ba2e51b..fa0d01abf 100644
--- a/doc/sf_and_dist/graphs/bernoulli_cdf.svg
+++ b/doc/sf_and_dist/graphs/bernoulli_cdf.svg
@@ -1,66 +1,68 @@
-
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
-
-
-
-
-
+
+
+
+
+
-p=0.25
-p=0.5
-p=0.75
+p=0.25
+p=0.5
+p=0.75
Bernoulli Distribution CDF
+
+
diff --git a/doc/sf_and_dist/graphs/bernoulli_pdf.png b/doc/sf_and_dist/graphs/bernoulli_pdf.png
index 1b7ec51b6..7b43340f9 100644
Binary files a/doc/sf_and_dist/graphs/bernoulli_pdf.png and b/doc/sf_and_dist/graphs/bernoulli_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/bernoulli_pdf.svg b/doc/sf_and_dist/graphs/bernoulli_pdf.svg
index 223e5fa73..4e68853c0 100644
--- a/doc/sf_and_dist/graphs/bernoulli_pdf.svg
+++ b/doc/sf_and_dist/graphs/bernoulli_pdf.svg
@@ -1,63 +1,65 @@
-
-
+
-
+
-
+
-
-
-
+
+
+
-
-
-
-0
-1
-0
-0
-0.1
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-0.4
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-0.7
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+
+
+
+0
+1
+0
+
+0
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+0.2
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+0.4
+0.5
+0.6
+0.7
+0.8
+0
-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
-
-
-
-
-
+
+
+
+
+
-p=0.25
-p=0.5
-p=0.75
+p=0.25
+p=0.5
+p=0.75
Bernoulli Distribution PDF
+
+
diff --git a/doc/sf_and_dist/graphs/beta.png b/doc/sf_and_dist/graphs/beta.png
index 5d2d056a7..87b84deba 100644
Binary files a/doc/sf_and_dist/graphs/beta.png and b/doc/sf_and_dist/graphs/beta.png differ
diff --git a/doc/sf_and_dist/graphs/beta.svg b/doc/sf_and_dist/graphs/beta.svg
index 246cabb1b..3d073e319 100644
--- a/doc/sf_and_dist/graphs/beta.svg
+++ b/doc/sf_and_dist/graphs/beta.svg
@@ -19,52 +19,53 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-4
-5
-0
-5
-10
-0
--5
+
+
+
+
+
+
+
+0
+1
+2
+3
+4
+5
+
+0
+5
+10
+0
+-5
-log(beta(a, z))
+log(beta(a, z))
-z
-
-
-
-
+z
+
+
+
+
-
-
-
-
-
+
+
+
+
+
-a = 0.5
-a = 1.0
-a = 5.0
-a = 10.0
+a = 0.5
+a = 1.0
+a = 5.0
+a = 10.0
beta
diff --git a/doc/sf_and_dist/graphs/beta_pdf.png b/doc/sf_and_dist/graphs/beta_pdf.png
index 4db7a0ff1..d3220638c 100644
Binary files a/doc/sf_and_dist/graphs/beta_pdf.png and b/doc/sf_and_dist/graphs/beta_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/beta_pdf.svg b/doc/sf_and_dist/graphs/beta_pdf.svg
index 50453a68f..102780ac7 100644
--- a/doc/sf_and_dist/graphs/beta_pdf.svg
+++ b/doc/sf_and_dist/graphs/beta_pdf.svg
@@ -12,65 +12,66 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0.9
-1
-0
-0
-0.5
-1
-1.5
-2
-2.5
-3
-0
+
+
+
+
+
+
+
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0.9
+1
+0
+
+0
+0.5
+1
+1.5
+2
+2.5
+3
+0
-Probability
+Probability
-Random Variable
-
-
-
-
-
+Random Variable
+
+
+
+
+
-
-
-
-
-
-
-
+
+
+
+
+
+
+
-alpha=0.5, beta=0.5
-alpha=5, beta=1
-alpha=1, beta=3
-alpha=2, beta=2
-alpha=2, beta=5
+alpha=0.5, beta=0.5
+alpha=5, beta=1
+alpha=1, beta=3
+alpha=2, beta=2
+alpha=2, beta=5
Beta Distribution PDF
diff --git a/doc/sf_and_dist/graphs/binomial_pdf_1.png b/doc/sf_and_dist/graphs/binomial_pdf_1.png
index 68c988b5f..ce946aa6f 100644
Binary files a/doc/sf_and_dist/graphs/binomial_pdf_1.png and b/doc/sf_and_dist/graphs/binomial_pdf_1.png differ
diff --git a/doc/sf_and_dist/graphs/binomial_pdf_1.svg b/doc/sf_and_dist/graphs/binomial_pdf_1.svg
index a011f6226..701dfe413 100644
--- a/doc/sf_and_dist/graphs/binomial_pdf_1.svg
+++ b/doc/sf_and_dist/graphs/binomial_pdf_1.svg
@@ -1,65 +1,67 @@
-
-
+
-
+
-
+
-
-
-
+
+
+
-
-
-
-0
-10
-20
-30
-40
-50
-0
-0
-0.05
-0.1
-0.15
-0.2
-0.25
-0.3
-0
+
+
+
+0
+10
+20
+30
+40
+50
+0
+
+0
+0.05
+0.1
+0.15
+0.2
+0.25
+0.3
+0
-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
-
-
-
-
-
+
+
+
+
+
-n=5 p=0.5
-n=20 p=0.5
-n=50 p=0.5
+n=5 p=0.5
+n=20 p=0.5
+n=50 p=0.5
Binomial Distribution PDF
+
+
diff --git a/doc/sf_and_dist/graphs/binomial_pdf_2.png b/doc/sf_and_dist/graphs/binomial_pdf_2.png
index dd092e823..28da39275 100644
Binary files a/doc/sf_and_dist/graphs/binomial_pdf_2.png and b/doc/sf_and_dist/graphs/binomial_pdf_2.png differ
diff --git a/doc/sf_and_dist/graphs/binomial_pdf_2.svg b/doc/sf_and_dist/graphs/binomial_pdf_2.svg
index 20c4d8021..9fe5b531c 100644
--- a/doc/sf_and_dist/graphs/binomial_pdf_2.svg
+++ b/doc/sf_and_dist/graphs/binomial_pdf_2.svg
@@ -1,64 +1,66 @@
-
-
+
-
+
-
+
-
-
-
+
+
+
-
-
-
-0
-5
-10
-15
-20
-0
-0
-0.05
-0.1
-0.15
-0.2
-0.25
-0.3
-0
+
+
+
+0
+5
+10
+15
+20
+0
+
+0
+0.05
+0.1
+0.15
+0.2
+0.25
+0.3
+0
-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
-
-
-
-
-
+
+
+
+
+
-n=20 p=0.1
-n=20 p=0.5
-n=20 p=0.9
+n=20 p=0.1
+n=20 p=0.5
+n=20 p=0.9
Binomial Distribution PDF
+
+
diff --git a/doc/sf_and_dist/graphs/cauchy_pdf1.png b/doc/sf_and_dist/graphs/cauchy_pdf1.png
index 5eb74a256..04e3e98f8 100644
Binary files a/doc/sf_and_dist/graphs/cauchy_pdf1.png and b/doc/sf_and_dist/graphs/cauchy_pdf1.png differ
diff --git a/doc/sf_and_dist/graphs/cauchy_pdf1.svg b/doc/sf_and_dist/graphs/cauchy_pdf1.svg
index 944e4a35a..169abb4fe 100644
--- a/doc/sf_and_dist/graphs/cauchy_pdf1.svg
+++ b/doc/sf_and_dist/graphs/cauchy_pdf1.svg
@@ -12,47 +12,48 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-0
--5
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-0.1
-0.2
-0.3
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+
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+
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+0
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-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
+
+
+
+
-location = -5
-location = 0
-location = 5
+location = -5
+location = 0
+location = 5
Cauchy Distribution PDF (scale = 1)
diff --git a/doc/sf_and_dist/graphs/cauchy_pdf2.png b/doc/sf_and_dist/graphs/cauchy_pdf2.png
index e20431f45..9412695d2 100644
Binary files a/doc/sf_and_dist/graphs/cauchy_pdf2.png and b/doc/sf_and_dist/graphs/cauchy_pdf2.png differ
diff --git a/doc/sf_and_dist/graphs/cauchy_pdf2.svg b/doc/sf_and_dist/graphs/cauchy_pdf2.svg
index 8f1e38a0b..8e06d5ab9 100644
--- a/doc/sf_and_dist/graphs/cauchy_pdf2.svg
+++ b/doc/sf_and_dist/graphs/cauchy_pdf2.svg
@@ -12,51 +12,52 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-0
--5
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0
+
+
+
+
+
+
+
+0
+5
+0
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+0
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-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
+
+
+
+
-scale = 0.5
-scale = 1
-scale = 2
+scale = 0.5
+scale = 1
+scale = 2
Cauchy Distribution PDF (location = 0)
diff --git a/doc/sf_and_dist/graphs/cbrt.png b/doc/sf_and_dist/graphs/cbrt.png
index 8dc57bc1a..d2a3b6cf8 100644
Binary files a/doc/sf_and_dist/graphs/cbrt.png and b/doc/sf_and_dist/graphs/cbrt.png differ
diff --git a/doc/sf_and_dist/graphs/cbrt.svg b/doc/sf_and_dist/graphs/cbrt.svg
index 7a1796f4a..747621e40 100644
--- a/doc/sf_and_dist/graphs/cbrt.svg
+++ b/doc/sf_and_dist/graphs/cbrt.svg
@@ -19,37 +19,38 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
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-5
-10
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--5
--10
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-2
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--1
--2
+
+
+
+
+
+
+
+0
+5
+10
+0
+-5
+-10
+
+0
+1
+2
+0
+-1
+-2
-cbrt(z)
+cbrt(z)
-z
-
+z
+
diff --git a/doc/sf_and_dist/graphs/chi_squared_pdf.png b/doc/sf_and_dist/graphs/chi_squared_pdf.png
index aa54e456c..ec5272bf0 100644
Binary files a/doc/sf_and_dist/graphs/chi_squared_pdf.png and b/doc/sf_and_dist/graphs/chi_squared_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/chi_squared_pdf.svg b/doc/sf_and_dist/graphs/chi_squared_pdf.svg
index 9c58ce293..a8af900fb 100644
--- a/doc/sf_and_dist/graphs/chi_squared_pdf.svg
+++ b/doc/sf_and_dist/graphs/chi_squared_pdf.svg
@@ -12,51 +12,52 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-10
-15
-20
-0
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-0.1
-0.2
-0.3
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-0
+
+
+
+
+
+
+
+0
+5
+10
+15
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+0
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+0
+0.1
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-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
+
+
+
+
-v=2
-v=5
-v=10
+v=2
+v=5
+v=10
Chi Squared Distribution PDF
diff --git a/doc/sf_and_dist/graphs/cyl_bessel_i.png b/doc/sf_and_dist/graphs/cyl_bessel_i.png
index 8a268ffc9..b7f49b5e3 100644
Binary files a/doc/sf_and_dist/graphs/cyl_bessel_i.png and b/doc/sf_and_dist/graphs/cyl_bessel_i.png differ
diff --git a/doc/sf_and_dist/graphs/cyl_bessel_i.svg b/doc/sf_and_dist/graphs/cyl_bessel_i.svg
index 34e547334..ee64fb9be 100644
--- a/doc/sf_and_dist/graphs/cyl_bessel_i.svg
+++ b/doc/sf_and_dist/graphs/cyl_bessel_i.svg
@@ -19,55 +19,56 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-10
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--5
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-10
-20
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--10
--20
+
+
+
+
+
+
+
+0
+5
+10
+0
+-5
+
+0
+10
+20
+0
+-10
+-20
-cyl_bessel_i(v, x)
+cyl_bessel_i(v, x)
-x
-
-
-
-
-
+x
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-v = 0
-v = 2
-v = 5
-v = 7
-v = 10
+v = 0
+v = 2
+v = 5
+v = 7
+v = 10
Bessel I
diff --git a/doc/sf_and_dist/graphs/cyl_bessel_j.png b/doc/sf_and_dist/graphs/cyl_bessel_j.png
index ea4de05a3..37c770010 100644
Binary files a/doc/sf_and_dist/graphs/cyl_bessel_j.png and b/doc/sf_and_dist/graphs/cyl_bessel_j.png differ
diff --git a/doc/sf_and_dist/graphs/cyl_bessel_j.svg b/doc/sf_and_dist/graphs/cyl_bessel_j.svg
index 70dd9ad3d..bf6cf0c84 100644
--- a/doc/sf_and_dist/graphs/cyl_bessel_j.svg
+++ b/doc/sf_and_dist/graphs/cyl_bessel_j.svg
@@ -19,55 +19,56 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
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-10
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--10
--20
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-1
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--0.5
+
+
+
+
+
+
+
+0
+10
+20
+0
+-10
+-20
+
+0
+0.5
+1
+0
+-0.5
-cyl_bessel_j(v, x)
+cyl_bessel_j(v, x)
-x
-
-
-
-
-
+x
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-v = 0
-v = 1
-v = 2
-v = 3
-v = 4
+v = 0
+v = 1
+v = 2
+v = 3
+v = 4
Bessel J
diff --git a/doc/sf_and_dist/graphs/cyl_bessel_k.png b/doc/sf_and_dist/graphs/cyl_bessel_k.png
index c2f3e8aca..687767321 100644
Binary files a/doc/sf_and_dist/graphs/cyl_bessel_k.png and b/doc/sf_and_dist/graphs/cyl_bessel_k.png differ
diff --git a/doc/sf_and_dist/graphs/cyl_bessel_k.svg b/doc/sf_and_dist/graphs/cyl_bessel_k.svg
index 55a5617e4..ba4c54f70 100644
--- a/doc/sf_and_dist/graphs/cyl_bessel_k.svg
+++ b/doc/sf_and_dist/graphs/cyl_bessel_k.svg
@@ -19,66 +19,67 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
-0
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
+
+
+
+
+
+
+
+0
+1
+2
+3
+4
+5
+6
+7
+8
+9
+10
+
+0
+1
+2
+3
+4
+5
+6
+7
+8
+9
+10
-cyl_bessel_k(v, x)
+cyl_bessel_k(v, x)
-x
-
-
-
-
-
+x
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-v = 0
-v = 2
-v = 5
-v = 7
-v = 10
+v = 0
+v = 2
+v = 5
+v = 7
+v = 10
Bessel K
diff --git a/doc/sf_and_dist/graphs/cyl_neumann.png b/doc/sf_and_dist/graphs/cyl_neumann.png
index 8ca739cac..d3733da4b 100644
Binary files a/doc/sf_and_dist/graphs/cyl_neumann.png and b/doc/sf_and_dist/graphs/cyl_neumann.png differ
diff --git a/doc/sf_and_dist/graphs/cyl_neumann.svg b/doc/sf_and_dist/graphs/cyl_neumann.svg
index f3439662e..a2099337c 100644
--- a/doc/sf_and_dist/graphs/cyl_neumann.svg
+++ b/doc/sf_and_dist/graphs/cyl_neumann.svg
@@ -19,56 +19,57 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-10
-15
-20
-0
-0
--1
--2
--3
--4
--5
+
+
+
+
+
+
+
+0
+5
+10
+15
+20
+
+0
+0
+-1
+-2
+-3
+-4
+-5
-cyl_neumann(v, x)
+cyl_neumann(v, x)
-x
-
-
-
-
-
+x
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-v = 0
-v = 1
-v = 2
-v = 3
-v = 4
+v = 0
+v = 1
+v = 2
+v = 3
+v = 4
Bessel Y
diff --git a/doc/sf_and_dist/graphs/digamma.png b/doc/sf_and_dist/graphs/digamma.png
index 5b5c8d8f2..ec3885091 100644
Binary files a/doc/sf_and_dist/graphs/digamma.png and b/doc/sf_and_dist/graphs/digamma.png differ
diff --git a/doc/sf_and_dist/graphs/digamma.svg b/doc/sf_and_dist/graphs/digamma.svg
index 80fe40553..f7236a78c 100644
--- a/doc/sf_and_dist/graphs/digamma.svg
+++ b/doc/sf_and_dist/graphs/digamma.svg
@@ -19,39 +19,40 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-10
-0
-0
-5
-10
-0
--5
--10
+
+
+
+
+
+
+
+0
+5
+10
+0
+
+0
+5
+10
+0
+-5
+-10
-digamma(z)
+digamma(z)
-z
-
-
-
-
-
+z
+
+
+
+
+
diff --git a/doc/sf_and_dist/graphs/ellint_1.png b/doc/sf_and_dist/graphs/ellint_1.png
index 6140249fe..84baedf48 100644
Binary files a/doc/sf_and_dist/graphs/ellint_1.png and b/doc/sf_and_dist/graphs/ellint_1.png differ
diff --git a/doc/sf_and_dist/graphs/ellint_1.svg b/doc/sf_and_dist/graphs/ellint_1.svg
index 1090b05d8..8481c1f52 100644
--- a/doc/sf_and_dist/graphs/ellint_1.svg
+++ b/doc/sf_and_dist/graphs/ellint_1.svg
@@ -19,49 +19,50 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-0.5
-0
--0.5
-0.5
-1
-1.5
-2
+
+
+
+
+
+
+
+0
+0.5
+0
+-0.5
+
+0.5
+1
+1.5
+2
-ellint_1(k, phi)
+ellint_1(k, phi)
-k
-
-
-
-
+k
+
+
+
+
-
-
-
-
-
+
+
+
+
+
-φ=0.5
-φ=0.75
-φ=1.25
-φ=π/2
+φ=0.5
+φ=0.75
+φ=1.25
+φ=π/2
Elliptic Of the First Kind
diff --git a/doc/sf_and_dist/graphs/ellint_2.png b/doc/sf_and_dist/graphs/ellint_2.png
index 07f785558..c04427899 100644
Binary files a/doc/sf_and_dist/graphs/ellint_2.png and b/doc/sf_and_dist/graphs/ellint_2.png differ
diff --git a/doc/sf_and_dist/graphs/ellint_2.svg b/doc/sf_and_dist/graphs/ellint_2.svg
index c6f20b500..74dce7e47 100644
--- a/doc/sf_and_dist/graphs/ellint_2.svg
+++ b/doc/sf_and_dist/graphs/ellint_2.svg
@@ -19,50 +19,51 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-0.5
-1
-0
--0.5
--1
-0.5
-1
-1.5
+
+
+
+
+
+
+
+0
+0.5
+1
+0
+-0.5
+-1
+
+0.5
+1
+1.5
-ellint_2(k, phi)
+ellint_2(k, phi)
-k
-
-
-
-
+k
+
+
+
+
-
-
-
-
-
+
+
+
+
+
-φ=0.5
-φ=0.75
-φ=1.25
-φ=π/2
+φ=0.5
+φ=0.75
+φ=1.25
+φ=π/2
Elliptic Of the Second Kind
diff --git a/doc/sf_and_dist/graphs/ellint_3.png b/doc/sf_and_dist/graphs/ellint_3.png
index cc3c8d18a..cfa63b533 100644
Binary files a/doc/sf_and_dist/graphs/ellint_3.png and b/doc/sf_and_dist/graphs/ellint_3.png differ
diff --git a/doc/sf_and_dist/graphs/ellint_3.svg b/doc/sf_and_dist/graphs/ellint_3.svg
index fc6f11aca..061af8f9b 100644
--- a/doc/sf_and_dist/graphs/ellint_3.svg
+++ b/doc/sf_and_dist/graphs/ellint_3.svg
@@ -19,53 +19,54 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-0.5
-1
-0
--0.5
--1
-1.5
-2
-2.5
-3
-3.5
-4
+
+
+
+
+
+
+
+0
+0.5
+1
+0
+-0.5
+-1
+
+1.5
+2
+2.5
+3
+3.5
+4
-ellint_3(k, n, phi)
+ellint_3(k, n, phi)
-k
-
-
-
-
+k
+
+
+
+
-
-
-
-
-
+
+
+
+
+
-n=0 φ=1.25
-n=0.5 φ=1.25
-n=0.25 φ=π/2
-n=0.75 φ=π/2
+n=0 φ=1.25
+n=0.5 φ=1.25
+n=0.25 φ=π/2
+n=0.75 φ=π/2
Elliptic Of the Third Kind
diff --git a/doc/sf_and_dist/graphs/ellint_carlson.png b/doc/sf_and_dist/graphs/ellint_carlson.png
index e11a58e18..095c55efa 100644
Binary files a/doc/sf_and_dist/graphs/ellint_carlson.png and b/doc/sf_and_dist/graphs/ellint_carlson.png differ
diff --git a/doc/sf_and_dist/graphs/ellint_carlson.svg b/doc/sf_and_dist/graphs/ellint_carlson.svg
index ebb931784..25b0797a5 100644
--- a/doc/sf_and_dist/graphs/ellint_carlson.svg
+++ b/doc/sf_and_dist/graphs/ellint_carlson.svg
@@ -19,49 +19,50 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-1
-2
-3
-4
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
+
+
+
+
+
+
+
+1
+2
+3
+4
+
+1
+2
+3
+4
+5
+6
+7
+8
+9
+10
-
+
-x
-
-
+x
+
+
-
-
-
+
+
+
-RJ
-RF
+RJ
+RF
Elliptic Integrals
diff --git a/doc/sf_and_dist/graphs/erf.png b/doc/sf_and_dist/graphs/erf.png
index dc25822ed..d4dcf9e8e 100644
Binary files a/doc/sf_and_dist/graphs/erf.png and b/doc/sf_and_dist/graphs/erf.png differ
diff --git a/doc/sf_and_dist/graphs/erf.svg b/doc/sf_and_dist/graphs/erf.svg
index c6712162d..46f0057ef 100644
--- a/doc/sf_and_dist/graphs/erf.svg
+++ b/doc/sf_and_dist/graphs/erf.svg
@@ -19,38 +19,39 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-0
--1
--2
--3
-0
-0.5
-1
-0
--0.5
+
+
+
+
+
+
+
+0
+1
+2
+3
+0
+-1
+-2
+-3
+
+0
+0.5
+1
+0
+-0.5
-erf(z)
+erf(z)
-z
-
+z
+
diff --git a/doc/sf_and_dist/graphs/erf_inv.png b/doc/sf_and_dist/graphs/erf_inv.png
index 3283d797a..0a4171907 100644
Binary files a/doc/sf_and_dist/graphs/erf_inv.png and b/doc/sf_and_dist/graphs/erf_inv.png differ
diff --git a/doc/sf_and_dist/graphs/erf_inv.svg b/doc/sf_and_dist/graphs/erf_inv.svg
index 26b59fbc5..45584c6be 100644
--- a/doc/sf_and_dist/graphs/erf_inv.svg
+++ b/doc/sf_and_dist/graphs/erf_inv.svg
@@ -19,36 +19,37 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-0.5
-1
-0
--0.5
-0
-1
-0
--1
--2
--3
+
+
+
+
+
+
+
+0
+0.5
+1
+0
+-0.5
+
+0
+1
+0
+-1
+-2
+-3
-erf_inv(z)
+erf_inv(z)
-z
-
+z
+
diff --git a/doc/sf_and_dist/graphs/erfc.png b/doc/sf_and_dist/graphs/erfc.png
index 4e7af36f5..07e462e51 100644
Binary files a/doc/sf_and_dist/graphs/erfc.png and b/doc/sf_and_dist/graphs/erfc.png differ
diff --git a/doc/sf_and_dist/graphs/erfc.svg b/doc/sf_and_dist/graphs/erfc.svg
index eb637e190..876367f89 100644
--- a/doc/sf_and_dist/graphs/erfc.svg
+++ b/doc/sf_and_dist/graphs/erfc.svg
@@ -19,38 +19,39 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-0
--1
--2
--3
-0
-0.5
-1
-1.5
-2
+
+
+
+
+
+
+
+0
+1
+2
+3
+0
+-1
+-2
+-3
+
+0
+0.5
+1
+1.5
+2
-erfc(z)
+erfc(z)
-z
-
+z
+
diff --git a/doc/sf_and_dist/graphs/erfc_inv.png b/doc/sf_and_dist/graphs/erfc_inv.png
index fdd1b7f28..09d59bf71 100644
Binary files a/doc/sf_and_dist/graphs/erfc_inv.png and b/doc/sf_and_dist/graphs/erfc_inv.png differ
diff --git a/doc/sf_and_dist/graphs/erfc_inv.svg b/doc/sf_and_dist/graphs/erfc_inv.svg
index 6c3cbac19..53c4c4a99 100644
--- a/doc/sf_and_dist/graphs/erfc_inv.svg
+++ b/doc/sf_and_dist/graphs/erfc_inv.svg
@@ -19,37 +19,38 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-0.5
-1
-1.5
-2
-0
-1
-2
-3
-0
--1
--2
+
+
+
+
+
+
+
+0
+0.5
+1
+1.5
+2
+
+0
+1
+2
+3
+0
+-1
+-2
-erfc_inv(z)
+erfc_inv(z)
-z
-
+z
+
diff --git a/doc/sf_and_dist/graphs/expint2.png b/doc/sf_and_dist/graphs/expint2.png
index ee6707df4..aa1f60133 100644
Binary files a/doc/sf_and_dist/graphs/expint2.png and b/doc/sf_and_dist/graphs/expint2.png differ
diff --git a/doc/sf_and_dist/graphs/expint2.svg b/doc/sf_and_dist/graphs/expint2.svg
index 6e481bd2f..8c6eaef55 100644
--- a/doc/sf_and_dist/graphs/expint2.svg
+++ b/doc/sf_and_dist/graphs/expint2.svg
@@ -19,57 +19,58 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-0.5
-1
-1.5
-2
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0.9
-1
+
+
+
+
+
+
+
+0
+0.5
+1
+1.5
+2
+0
+
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0.9
+1
-expint(n, z)
+expint(n, z)
-z
-
-
-
-
+z
+
+
+
+
-
-
-
-
-
+
+
+
+
+
-n = 1
-n = 2
-n = 3
-n = 4
+n = 1
+n = 2
+n = 3
+n = 4
Exponential Integral En
diff --git a/doc/sf_and_dist/graphs/expint_i.png b/doc/sf_and_dist/graphs/expint_i.png
index a2a26d72a..ca949a157 100644
Binary files a/doc/sf_and_dist/graphs/expint_i.png and b/doc/sf_and_dist/graphs/expint_i.png differ
diff --git a/doc/sf_and_dist/graphs/expint_i.svg b/doc/sf_and_dist/graphs/expint_i.svg
index d5082b2f9..57eac0370 100644
--- a/doc/sf_and_dist/graphs/expint_i.svg
+++ b/doc/sf_and_dist/graphs/expint_i.svg
@@ -19,40 +19,41 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-4
-0
--1
--2
--3
-0
-10
-20
-0
--10
+
+
+
+
+
+
+
+0
+1
+2
+3
+4
+0
+-1
+-2
+-3
+
+0
+10
+20
+0
+-10
-expint(z)
+expint(z)
-z
-
-
+z
+
+
diff --git a/doc/sf_and_dist/graphs/expm1.png b/doc/sf_and_dist/graphs/expm1.png
index 3fc6b9089..374bea469 100644
Binary files a/doc/sf_and_dist/graphs/expm1.png and b/doc/sf_and_dist/graphs/expm1.png differ
diff --git a/doc/sf_and_dist/graphs/expm1.svg b/doc/sf_and_dist/graphs/expm1.svg
index d0109baa2..8b0239481 100644
--- a/doc/sf_and_dist/graphs/expm1.svg
+++ b/doc/sf_and_dist/graphs/expm1.svg
@@ -19,41 +19,42 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-0
--1
--2
--3
--4
-0
-1
-2
-3
-4
-5
-6
-0
+
+
+
+
+
+
+
+0
+1
+2
+0
+-1
+-2
+-3
+-4
+
+0
+1
+2
+3
+4
+5
+6
+0
-expm1(z)
+expm1(z)
-z
-
+z
+
diff --git a/doc/sf_and_dist/graphs/exponential_pdf.png b/doc/sf_and_dist/graphs/exponential_pdf.png
index ed735019d..54a44f47c 100644
Binary files a/doc/sf_and_dist/graphs/exponential_pdf.png and b/doc/sf_and_dist/graphs/exponential_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/exponential_pdf.svg b/doc/sf_and_dist/graphs/exponential_pdf.svg
index 7aede3aea..21f82b5a2 100644
--- a/doc/sf_and_dist/graphs/exponential_pdf.svg
+++ b/doc/sf_and_dist/graphs/exponential_pdf.svg
@@ -12,51 +12,52 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-4
-5
-6
-0
-0.5
-1
-1.5
-2
-0
+
+
+
+
+
+
+
+0
+1
+2
+3
+4
+5
+6
+
+0
+0.5
+1
+1.5
+2
+0
-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
+
+
+
+
-λ=0.5
-λ=1
-λ=2
+λ=0.5
+λ=1
+λ=2
Exponential Distribution PDF
diff --git a/doc/sf_and_dist/graphs/extreme_value_pdf1.png b/doc/sf_and_dist/graphs/extreme_value_pdf1.png
index 015d3a987..b583b09eb 100644
Binary files a/doc/sf_and_dist/graphs/extreme_value_pdf1.png and b/doc/sf_and_dist/graphs/extreme_value_pdf1.png differ
diff --git a/doc/sf_and_dist/graphs/extreme_value_pdf1.svg b/doc/sf_and_dist/graphs/extreme_value_pdf1.svg
index c312591e5..9930ed28f 100644
--- a/doc/sf_and_dist/graphs/extreme_value_pdf1.svg
+++ b/doc/sf_and_dist/graphs/extreme_value_pdf1.svg
@@ -12,48 +12,49 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-0
--5
-0
-0.1
-0.2
-0.3
-0.4
-0
+
+
+
+
+
+
+
+0
+5
+0
+-5
+
+0
+0.1
+0.2
+0.3
+0.4
+0
-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
+
+
+
+
-location=-5
-location=0
-location=5
+location=-5
+location=0
+location=5
Extreme Value Distribution PDF (shape=1)
diff --git a/doc/sf_and_dist/graphs/extreme_value_pdf2.png b/doc/sf_and_dist/graphs/extreme_value_pdf2.png
index c24c7b174..e1a8d929f 100644
Binary files a/doc/sf_and_dist/graphs/extreme_value_pdf2.png and b/doc/sf_and_dist/graphs/extreme_value_pdf2.png differ
diff --git a/doc/sf_and_dist/graphs/extreme_value_pdf2.svg b/doc/sf_and_dist/graphs/extreme_value_pdf2.svg
index fa2008c27..945612c05 100644
--- a/doc/sf_and_dist/graphs/extreme_value_pdf2.svg
+++ b/doc/sf_and_dist/graphs/extreme_value_pdf2.svg
@@ -12,51 +12,52 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-0
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0
+
+
+
+
+
+
+
+0
+5
+0
+
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0
-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
+
+
+
+
-shape=0.5
-shape=1
-shape=2
+shape=0.5
+shape=1
+shape=2
Extreme Value Distribution PDF (location=0)
diff --git a/doc/sf_and_dist/graphs/fisher_f_pdf.png b/doc/sf_and_dist/graphs/fisher_f_pdf.png
index 065bdcade..2c9f56122 100644
Binary files a/doc/sf_and_dist/graphs/fisher_f_pdf.png and b/doc/sf_and_dist/graphs/fisher_f_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/fisher_f_pdf.svg b/doc/sf_and_dist/graphs/fisher_f_pdf.svg
index 974a44d73..a62816421 100644
--- a/doc/sf_and_dist/graphs/fisher_f_pdf.svg
+++ b/doc/sf_and_dist/graphs/fisher_f_pdf.svg
@@ -12,57 +12,58 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-4
-0
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0
+
+
+
+
+
+
+
+0
+1
+2
+3
+4
+0
+
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0
-Probability
+Probability
-Random Variable
-
-
-
-
+Random Variable
+
+
+
+
-
-
-
-
-
+
+
+
+
+
-n=4, m=4
-n=10, m=4
-n=10, m=10
-n=4, m=10
+n=4, m=4
+n=10, m=4
+n=10, m=10
+n=4, m=10
F Distribution PDF
diff --git a/doc/sf_and_dist/graphs/gamma1_pdf.png b/doc/sf_and_dist/graphs/gamma1_pdf.png
index b8eab5c5f..942587aea 100644
Binary files a/doc/sf_and_dist/graphs/gamma1_pdf.png and b/doc/sf_and_dist/graphs/gamma1_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/gamma1_pdf.svg b/doc/sf_and_dist/graphs/gamma1_pdf.svg
index 3159cc5ea..380ce0f58 100644
--- a/doc/sf_and_dist/graphs/gamma1_pdf.svg
+++ b/doc/sf_and_dist/graphs/gamma1_pdf.svg
@@ -12,52 +12,53 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-4
-5
-6
-7
-0
-0.5
-1
-1.5
-2
-0
+
+
+
+
+
+
+
+0
+1
+2
+3
+4
+5
+6
+7
+
+0
+0.5
+1
+1.5
+2
+0
-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
+
+
+
+
-shape = 0.75
-shape = 1
-shape = 3
+shape = 0.75
+shape = 1
+shape = 3
Gamma Distribution PDF With Scale = 1
diff --git a/doc/sf_and_dist/graphs/gamma2_pdf.png b/doc/sf_and_dist/graphs/gamma2_pdf.png
index 3dbbd2177..c548511e2 100644
Binary files a/doc/sf_and_dist/graphs/gamma2_pdf.png and b/doc/sf_and_dist/graphs/gamma2_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/gamma2_pdf.svg b/doc/sf_and_dist/graphs/gamma2_pdf.svg
index 442faabab..f37068392 100644
--- a/doc/sf_and_dist/graphs/gamma2_pdf.svg
+++ b/doc/sf_and_dist/graphs/gamma2_pdf.svg
@@ -12,51 +12,52 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-10
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0
+
+
+
+
+
+
+
+0
+5
+10
+
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0
-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
+
+
+
+
-scale = 0.5
-scale = 1
-scale = 2
+scale = 0.5
+scale = 1
+scale = 2
Gamma Distribution PDF With Shape = 2
diff --git a/doc/sf_and_dist/graphs/gamma_p.png b/doc/sf_and_dist/graphs/gamma_p.png
index 0ea3f2219..8548cf552 100644
Binary files a/doc/sf_and_dist/graphs/gamma_p.png and b/doc/sf_and_dist/graphs/gamma_p.png differ
diff --git a/doc/sf_and_dist/graphs/gamma_p.svg b/doc/sf_and_dist/graphs/gamma_p.svg
index 27ea01a3b..d091c22e6 100644
--- a/doc/sf_and_dist/graphs/gamma_p.svg
+++ b/doc/sf_and_dist/graphs/gamma_p.svg
@@ -19,59 +19,60 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-10
-15
-20
-0
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0.9
-1
-0
+
+
+
+
+
+
+
+0
+5
+10
+15
+20
+0
+
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0.9
+1
+0
-gamma_p(a, z)
+gamma_p(a, z)
-z
-
-
-
-
+z
+
+
+
+
-
-
-
-
-
+
+
+
+
+
-a = 0.5
-a = 1.0
-a = 5.0
-a = 10.0
+a = 0.5
+a = 1.0
+a = 5.0
+a = 10.0
gamma_p
diff --git a/doc/sf_and_dist/graphs/gamma_q.png b/doc/sf_and_dist/graphs/gamma_q.png
index f8b1e9b7f..c6d6033a0 100644
Binary files a/doc/sf_and_dist/graphs/gamma_q.png and b/doc/sf_and_dist/graphs/gamma_q.png differ
diff --git a/doc/sf_and_dist/graphs/gamma_q.svg b/doc/sf_and_dist/graphs/gamma_q.svg
index 1fb3b3e1d..853373434 100644
--- a/doc/sf_and_dist/graphs/gamma_q.svg
+++ b/doc/sf_and_dist/graphs/gamma_q.svg
@@ -19,58 +19,59 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-10
-15
-20
-0
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0.9
-1
+
+
+
+
+
+
+
+0
+5
+10
+15
+20
+0
+
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0.9
+1
-gamma_q(a, z)
+gamma_q(a, z)
-z
-
-
-
-
+z
+
+
+
+
-
-
-
-
-
+
+
+
+
+
-a = 0.5
-a = 1.0
-a = 5.0
-a = 10.0
+a = 0.5
+a = 1.0
+a = 5.0
+a = 10.0
gamma_q
diff --git a/doc/sf_and_dist/graphs/generate.sh b/doc/sf_and_dist/graphs/generate.sh
index 2a6e270de..bff99777e 100755
--- a/doc/sf_and_dist/graphs/generate.sh
+++ b/doc/sf_and_dist/graphs/generate.sh
@@ -7,7 +7,7 @@
#
# Paths to tools come first, change these to match your system:
#
-math2svg='d:\download\open\SVGMath-0.3.1\math2svg.py'
+math2svg='m:\download\open\SVGMath-0.3.1\math2svg.py'
python=/cygdrive/c/Python26/python.exe
inkscape=/cygdrive/c/progra~1/Inkscape/inkscape
# Image DPI:
@@ -25,3 +25,4 @@ done
+
diff --git a/doc/sf_and_dist/graphs/hermite.png b/doc/sf_and_dist/graphs/hermite.png
index 653c89423..9c3323e24 100644
Binary files a/doc/sf_and_dist/graphs/hermite.png and b/doc/sf_and_dist/graphs/hermite.png differ
diff --git a/doc/sf_and_dist/graphs/hermite.svg b/doc/sf_and_dist/graphs/hermite.svg
index eae4a3d7c..40f982f0f 100644
--- a/doc/sf_and_dist/graphs/hermite.svg
+++ b/doc/sf_and_dist/graphs/hermite.svg
@@ -19,54 +19,55 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-0
--1
-0
-10
-20
-0
--10
--20
+
+
+
+
+
+
+
+0
+1
+0
+-1
+
+0
+10
+20
+0
+-10
+-20
-hermite(n, x)
+hermite(n, x)
-x
-
-
-
-
-
+x
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-n = 0
-n = 1
-n = 2
-n = 3
-n = 4
+n = 0
+n = 1
+n = 2
+n = 3
+n = 4
Hermite Polynomials
diff --git a/doc/sf_and_dist/graphs/hypergeometric_pdf_1.png b/doc/sf_and_dist/graphs/hypergeometric_pdf_1.png
index ef49ab155..ad8f3f83b 100644
Binary files a/doc/sf_and_dist/graphs/hypergeometric_pdf_1.png and b/doc/sf_and_dist/graphs/hypergeometric_pdf_1.png differ
diff --git a/doc/sf_and_dist/graphs/hypergeometric_pdf_1.svg b/doc/sf_and_dist/graphs/hypergeometric_pdf_1.svg
index 0cd332d27..3bb8bd9ef 100644
--- a/doc/sf_and_dist/graphs/hypergeometric_pdf_1.svg
+++ b/doc/sf_and_dist/graphs/hypergeometric_pdf_1.svg
@@ -12,59 +12,60 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
+
+
+
-
-
-
-0
-5
-10
-15
-20
-25
-30
-0
-0
-0.05
-0.1
-0.15
-0.2
-0.25
-0
+
+
+
+0
+5
+10
+15
+20
+25
+30
+0
+
+0
+0.05
+0.1
+0.15
+0.2
+0.25
+0
-Probability
+Probability
-Random Variable
-
-
-
-
-
+Random Variable
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-N=500, r=50, n=30
-N=500, r=100, n=30
-N=500, r=250, n=30
-N=500, r=400, n=30
-N=500, r=450, n=30
+N=500, r=50, n=30
+N=500, r=100, n=30
+N=500, r=250, n=30
+N=500, r=400, n=30
+N=500, r=450, n=30
Hypergeometric Distribution PDF
diff --git a/doc/sf_and_dist/graphs/hypergeometric_pdf_2.png b/doc/sf_and_dist/graphs/hypergeometric_pdf_2.png
index d81629825..8c7019db3 100644
Binary files a/doc/sf_and_dist/graphs/hypergeometric_pdf_2.png and b/doc/sf_and_dist/graphs/hypergeometric_pdf_2.png differ
diff --git a/doc/sf_and_dist/graphs/hypergeometric_pdf_2.svg b/doc/sf_and_dist/graphs/hypergeometric_pdf_2.svg
index b10d34ef3..904e0a386 100644
--- a/doc/sf_and_dist/graphs/hypergeometric_pdf_2.svg
+++ b/doc/sf_and_dist/graphs/hypergeometric_pdf_2.svg
@@ -12,57 +12,58 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
+
+
+
-
-
-
-0
-10
-20
-30
-40
-50
-0
-0
-0.05
-0.1
-0.15
-0.2
-0
+
+
+
+0
+10
+20
+30
+40
+50
+0
+
+0
+0.05
+0.1
+0.15
+0.2
+0
-Probability
+Probability
-Random Variable
-
-
-
-
-
+Random Variable
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-N=500, r=50, n=50
-N=500, r=50, n=100
-N=500, r=50, n=250
-N=500, r=50, n=400
-N=500, r=50, n=450
+N=500, r=50, n=50
+N=500, r=50, n=100
+N=500, r=50, n=250
+N=500, r=50, n=400
+N=500, r=50, n=450
Hypergeometric Distribution PDF
diff --git a/doc/sf_and_dist/graphs/ibeta.png b/doc/sf_and_dist/graphs/ibeta.png
index 72a356318..1d20b8421 100644
Binary files a/doc/sf_and_dist/graphs/ibeta.png and b/doc/sf_and_dist/graphs/ibeta.png differ
diff --git a/doc/sf_and_dist/graphs/ibeta.svg b/doc/sf_and_dist/graphs/ibeta.svg
index 103d04ef0..dff6f0fd6 100644
--- a/doc/sf_and_dist/graphs/ibeta.svg
+++ b/doc/sf_and_dist/graphs/ibeta.svg
@@ -19,68 +19,69 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0.9
-1
-0
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0.9
-1
-0
+
+
+
+
+
+
+
+0
+0.1
+0.2
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+0.5
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+1
+0
+
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0.9
+1
+0
-ibeta(a, b, z)
+ibeta(a, b, z)
-z
-
-
-
-
-
+z
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-a = 9, b = 1
-a = 7, b = 2
-a = 5, b = 5
-a = 2, b = 7
-a = 1, b = 9
+a = 9, b = 1
+a = 7, b = 2
+a = 5, b = 5
+a = 2, b = 7
+a = 1, b = 9
ibeta
diff --git a/doc/sf_and_dist/graphs/laguerre.png b/doc/sf_and_dist/graphs/laguerre.png
index b274000c9..961ed734f 100644
Binary files a/doc/sf_and_dist/graphs/laguerre.png and b/doc/sf_and_dist/graphs/laguerre.png differ
diff --git a/doc/sf_and_dist/graphs/laguerre.svg b/doc/sf_and_dist/graphs/laguerre.svg
index 7b6e2e56c..47d47c7cd 100644
--- a/doc/sf_and_dist/graphs/laguerre.svg
+++ b/doc/sf_and_dist/graphs/laguerre.svg
@@ -19,57 +19,58 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-10
-0
--5
-0
-10
-20
-0
--10
+
+
+
+
+
+
+
+0
+5
+10
+0
+-5
+
+0
+10
+20
+0
+-10
-laguerre(n, x)
+laguerre(n, x)
-x
-
-
-
-
-
-
+x
+
+
+
+
+
+
-
-
-
-
-
-
-
+
+
+
+
+
+
+
-n = 0
-n = 1
-n = 2
-n = 3
-n = 4
-n = 5
+n = 0
+n = 1
+n = 2
+n = 3
+n = 4
+n = 5
Laguerre Polynomials
diff --git a/doc/sf_and_dist/graphs/laplace_pdf.png b/doc/sf_and_dist/graphs/laplace_pdf.png
index 29f390487..8133fe2dd 100644
Binary files a/doc/sf_and_dist/graphs/laplace_pdf.png and b/doc/sf_and_dist/graphs/laplace_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/laplace_pdf.svg b/doc/sf_and_dist/graphs/laplace_pdf.svg
index bc876e247..ab49434bd 100644
--- a/doc/sf_and_dist/graphs/laplace_pdf.svg
+++ b/doc/sf_and_dist/graphs/laplace_pdf.svg
@@ -12,61 +12,62 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-0
--5
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0.9
-1
-1.1
-0
+
+
+
+
+
+
+
+0
+5
+0
+-5
+
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0.9
+1
+1.1
+0
-Probability
+Probability
-Random Variable
-
-
-
-
-
+Random Variable
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-μ = 0, σ = 1
-μ = 0, σ = 0.5
-μ = 0, σ = 2
-μ = -1, σ = 1
-μ = 1, σ = 1
+μ = 0, σ = 1
+μ = 0, σ = 0.5
+μ = 0, σ = 2
+μ = -1, σ = 1
+μ = 1, σ = 1
Laplace Distribution PDF
diff --git a/doc/sf_and_dist/graphs/laplace_pdf_mu.png b/doc/sf_and_dist/graphs/laplace_pdf_mu.png
deleted file mode 100644
index cb4b1642e..000000000
Binary files a/doc/sf_and_dist/graphs/laplace_pdf_mu.png and /dev/null differ
diff --git a/doc/sf_and_dist/graphs/laplace_pdf_mu.svg b/doc/sf_and_dist/graphs/laplace_pdf_mu.svg
deleted file mode 100644
index a272e4be7..000000000
--- a/doc/sf_and_dist/graphs/laplace_pdf_mu.svg
+++ /dev/null
@@ -1,537 +0,0 @@
-
-
-
-Produced by GNUPLOT 4.2 patchlevel 4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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- 0
-
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- 0.1
-
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- 0.2
-
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-
-
- 0.3
-
-
-
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- 0.4
-
-
-
-
- 0.5
-
-
-
-
- -10
-
-
-
-
- -8
-
-
-
-
- -6
-
-
-
-
- -4
-
-
-
-
- -2
-
-
-
-
- 0
-
-
-
-
- 2
-
-
-
-
- 4
-
-
-
-
- 6
-
-
-
-
- 8
-
-
-
-
- 10
-
-
-
-
- Probability
-
-
-
- Random Variable
-
-
-
-
-
-
-
- μ = -6, σ = 1
-
-
-
-
-
-
-
-
-
-
- μ = 0, σ = 2
-
-
-
-
-
-
-
-
-
-
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diff --git a/doc/sf_and_dist/graphs/laplace_pdf_sigma.png b/doc/sf_and_dist/graphs/laplace_pdf_sigma.png
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index fa982d813..304f95121 100644
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Legendre Polynomials of the Second Kind
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diff --git a/doc/sf_and_dist/graphs/lgamma.png b/doc/sf_and_dist/graphs/lgamma.png
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index cb63ac0f5..2e5b72866 100644
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diff --git a/doc/sf_and_dist/graphs/lognormal_pdf1.png b/doc/sf_and_dist/graphs/lognormal_pdf1.png
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Binary files a/doc/sf_and_dist/graphs/lognormal_pdf1.png and b/doc/sf_and_dist/graphs/lognormal_pdf1.png differ
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Lognormal Distribution PDF (scale=1)
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Lognormal Distribution PDF (location=0)
diff --git a/doc/sf_and_dist/graphs/nc_beta_pdf.png b/doc/sf_and_dist/graphs/nc_beta_pdf.png
index 8585b16e9..05cbae461 100644
Binary files a/doc/sf_and_dist/graphs/nc_beta_pdf.png and b/doc/sf_and_dist/graphs/nc_beta_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/nc_beta_pdf.svg b/doc/sf_and_dist/graphs/nc_beta_pdf.svg
index e897b6a67..1688d90cc 100644
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Non Central Beta PDF
diff --git a/doc/sf_and_dist/graphs/nc_f_pdf.png b/doc/sf_and_dist/graphs/nc_f_pdf.png
index 8a82542a0..f303420f2 100644
Binary files a/doc/sf_and_dist/graphs/nc_f_pdf.png and b/doc/sf_and_dist/graphs/nc_f_pdf.png differ
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-v1=10, v2=20, λ=40
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Non Central F PDF
diff --git a/doc/sf_and_dist/graphs/nc_t_pdf.png b/doc/sf_and_dist/graphs/nc_t_pdf.png
index 86ba50aef..33ba44126 100644
Binary files a/doc/sf_and_dist/graphs/nc_t_pdf.png and b/doc/sf_and_dist/graphs/nc_t_pdf.png differ
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index 8c65b18e3..f209e2372 100644
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Non Central T PDF
diff --git a/doc/sf_and_dist/graphs/nccs_pdf.png b/doc/sf_and_dist/graphs/nccs_pdf.png
index c8b0390f8..63789734a 100644
Binary files a/doc/sf_and_dist/graphs/nccs_pdf.png and b/doc/sf_and_dist/graphs/nccs_pdf.png differ
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+++ b/doc/sf_and_dist/graphs/nccs_pdf.svg
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Non Central Chi Squared PDF
diff --git a/doc/sf_and_dist/graphs/negative_binomial_pdf_1.png b/doc/sf_and_dist/graphs/negative_binomial_pdf_1.png
index e39ffebdc..34dc54245 100644
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diff --git a/doc/sf_and_dist/graphs/negative_binomial_pdf_1.svg b/doc/sf_and_dist/graphs/negative_binomial_pdf_1.svg
index 55676178c..9e7f22080 100644
--- a/doc/sf_and_dist/graphs/negative_binomial_pdf_1.svg
+++ b/doc/sf_and_dist/graphs/negative_binomial_pdf_1.svg
@@ -1,59 +1,61 @@
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Negative Binomial Distribution PDF
+
+
diff --git a/doc/sf_and_dist/graphs/negative_binomial_pdf_2.png b/doc/sf_and_dist/graphs/negative_binomial_pdf_2.png
index d9a2416e0..71fec60e3 100644
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--- a/doc/sf_and_dist/graphs/negative_binomial_pdf_2.svg
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@@ -1,66 +1,68 @@
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Negative Binomial Distribution PDF
+
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diff --git a/doc/sf_and_dist/graphs/normal_pdf.png b/doc/sf_and_dist/graphs/normal_pdf.png
index 33b70e10a..02603bbcb 100644
Binary files a/doc/sf_and_dist/graphs/normal_pdf.png and b/doc/sf_and_dist/graphs/normal_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/normal_pdf.svg b/doc/sf_and_dist/graphs/normal_pdf.svg
index 1875d9e6e..8e6e1e866 100644
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+++ b/doc/sf_and_dist/graphs/normal_pdf.svg
@@ -12,64 +12,65 @@ xmlns ="http://www.w3.org/2000/svg"
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-
-
-
-
-
+Random Variable
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-μ = 0, σ = 1
-μ = 0, σ = 0.5
-μ = 0, σ = 2
-μ = -1, σ = 1
-μ = 1, σ = 1
+μ = 0, σ = 1
+μ = 0, σ = 0.5
+μ = 0, σ = 2
+μ = -1, σ = 1
+μ = 1, σ = 1
Normal Distribution PDF
diff --git a/doc/sf_and_dist/graphs/pareto_pdf1.png b/doc/sf_and_dist/graphs/pareto_pdf1.png
index f70c2558c..686a9681f 100644
Binary files a/doc/sf_and_dist/graphs/pareto_pdf1.png and b/doc/sf_and_dist/graphs/pareto_pdf1.png differ
diff --git a/doc/sf_and_dist/graphs/pareto_pdf1.svg b/doc/sf_and_dist/graphs/pareto_pdf1.svg
index 875cc903f..b3733a913 100644
--- a/doc/sf_and_dist/graphs/pareto_pdf1.svg
+++ b/doc/sf_and_dist/graphs/pareto_pdf1.svg
@@ -12,51 +12,52 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-5
-10
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0.9
-0
+
+
+
+
+
+
+
+5
+10
+
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0.9
+0
-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
+
+
+
+
-scale=1
-scale=2
-scale=3
+scale=1
+scale=2
+scale=3
Pareto Distribution PDF (shape=1)
diff --git a/doc/sf_and_dist/graphs/pareto_pdf2.png b/doc/sf_and_dist/graphs/pareto_pdf2.png
index 047992e70..ee263d7cc 100644
Binary files a/doc/sf_and_dist/graphs/pareto_pdf2.png and b/doc/sf_and_dist/graphs/pareto_pdf2.png differ
diff --git a/doc/sf_and_dist/graphs/pareto_pdf2.svg b/doc/sf_and_dist/graphs/pareto_pdf2.svg
index 2edb1e85f..99de4b6b3 100644
--- a/doc/sf_and_dist/graphs/pareto_pdf2.svg
+++ b/doc/sf_and_dist/graphs/pareto_pdf2.svg
@@ -12,50 +12,51 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-1
-2
-3
-4
-5
-6
-7
-0
-0.5
-1
-1.5
-0
+
+
+
+
+
+
+
+1
+2
+3
+4
+5
+6
+7
+
+0
+0.5
+1
+1.5
+0
-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
+
+
+
+
-shape=0.5
-shape=1
-shape=2
+shape=0.5
+shape=1
+shape=2
Pareto Distribution PDF (scale=1)
diff --git a/doc/sf_and_dist/graphs/poisson_pdf_1.png b/doc/sf_and_dist/graphs/poisson_pdf_1.png
index 8613c5ce4..04fe96f67 100644
Binary files a/doc/sf_and_dist/graphs/poisson_pdf_1.png and b/doc/sf_and_dist/graphs/poisson_pdf_1.png differ
diff --git a/doc/sf_and_dist/graphs/poisson_pdf_1.svg b/doc/sf_and_dist/graphs/poisson_pdf_1.svg
index 4fc2c943b..9d1a759a1 100644
--- a/doc/sf_and_dist/graphs/poisson_pdf_1.svg
+++ b/doc/sf_and_dist/graphs/poisson_pdf_1.svg
@@ -1,63 +1,65 @@
-
-
+
-
+
-
+
-
-
-
+
+
+
-
-
-
-0
-5
-10
-15
-20
-25
-30
-0
-0
-0.05
-0.1
-0.15
-0
+
+
+
+0
+5
+10
+15
+20
+25
+30
+0
+
+0
+0.05
+0.1
+0.15
+0
-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
-
-
-
-
-
+
+
+
+
+
-λ=1
-λ=10
-λ=50
+λ=5
+λ=10
+λ=20
Poisson Distribution PDF
+
+
diff --git a/doc/sf_and_dist/graphs/powm1.png b/doc/sf_and_dist/graphs/powm1.png
index 84a5d1d5e..000e298c3 100644
Binary files a/doc/sf_and_dist/graphs/powm1.png and b/doc/sf_and_dist/graphs/powm1.png differ
diff --git a/doc/sf_and_dist/graphs/powm1.svg b/doc/sf_and_dist/graphs/powm1.svg
index ecb3f484e..3ea0e4bed 100644
--- a/doc/sf_and_dist/graphs/powm1.svg
+++ b/doc/sf_and_dist/graphs/powm1.svg
@@ -19,63 +19,64 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-4
-5
-0
--1
--2
--3
--4
--5
-0
-5
-10
-0
+
+
+
+
+
+
+
+0
+1
+2
+3
+4
+5
+0
+-1
+-2
+-3
+-4
+-5
+
+0
+5
+10
+0
-powm1(a, z)
+powm1(a, z)
-z
-
-
-
-
-
-
+z
+
+
+
+
+
+
-
-
-
-
-
-
-
+
+
+
+
+
+
+
-a=0.0001
-a=0.001
-a=0.01
-a=0.1
-a=0.75
-a=1.25
+a=0.0001
+a=0.001
+a=0.01
+a=0.1
+a=0.75
+a=1.25
powm1
diff --git a/doc/sf_and_dist/graphs/rayleigh_cdf.png b/doc/sf_and_dist/graphs/rayleigh_cdf.png
index 423e18c04..f4adbd9f2 100644
Binary files a/doc/sf_and_dist/graphs/rayleigh_cdf.png and b/doc/sf_and_dist/graphs/rayleigh_cdf.png differ
diff --git a/doc/sf_and_dist/graphs/rayleigh_cdf.svg b/doc/sf_and_dist/graphs/rayleigh_cdf.svg
index fb50771ec..81989dc08 100644
--- a/doc/sf_and_dist/graphs/rayleigh_cdf.svg
+++ b/doc/sf_and_dist/graphs/rayleigh_cdf.svg
@@ -12,63 +12,64 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-5
-10
-15
-20
-25
-30
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0.9
-1
-1.1
-0
+
+
+
+
+
+
+
+5
+10
+15
+20
+25
+30
+
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0.9
+1
+1.1
+0
-Probability
+Probability
-Random Variable
-
-
-
-
-
+Random Variable
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-σ=0.5
-σ=1
-σ=2
-σ=4
-σ=10
+σ=0.5
+σ=1
+σ=2
+σ=4
+σ=10
Rayleigh Distribution CDF
diff --git a/doc/sf_and_dist/graphs/rayleigh_pdf.png b/doc/sf_and_dist/graphs/rayleigh_pdf.png
index 07195b21c..5bc0fa1b8 100644
Binary files a/doc/sf_and_dist/graphs/rayleigh_pdf.png and b/doc/sf_and_dist/graphs/rayleigh_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/rayleigh_pdf.svg b/doc/sf_and_dist/graphs/rayleigh_pdf.svg
index 42e720abe..9537d9bb8 100644
--- a/doc/sf_and_dist/graphs/rayleigh_pdf.svg
+++ b/doc/sf_and_dist/graphs/rayleigh_pdf.svg
@@ -12,58 +12,59 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-5
-10
-15
-20
-25
-30
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0
+
+
+
+
+
+
+
+5
+10
+15
+20
+25
+30
+
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0
-Probability
+Probability
-Random Variable
-
-
-
-
-
+Random Variable
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-σ=0.5
-σ=1
-σ=2
-σ=4
-σ=10
+σ=0.5
+σ=1
+σ=2
+σ=4
+σ=10
Rayleigh Distribution PDF
diff --git a/doc/sf_and_dist/graphs/sinc_pi.png b/doc/sf_and_dist/graphs/sinc_pi.png
index e060f7036..65007e46f 100644
Binary files a/doc/sf_and_dist/graphs/sinc_pi.png and b/doc/sf_and_dist/graphs/sinc_pi.png differ
diff --git a/doc/sf_and_dist/graphs/sinc_pi.svg b/doc/sf_and_dist/graphs/sinc_pi.svg
index c4c2958c5..b254d898a 100644
--- a/doc/sf_and_dist/graphs/sinc_pi.svg
+++ b/doc/sf_and_dist/graphs/sinc_pi.svg
@@ -19,35 +19,36 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-10
-0
--5
--10
-0
-0.5
-1
-0
+
+
+
+
+
+
+
+0
+5
+10
+0
+-5
+-10
+
+0
+0.5
+1
+0
-sinc_pi(z)
+sinc_pi(z)
-z
-
+z
+
diff --git a/doc/sf_and_dist/graphs/sinhc_pi.png b/doc/sf_and_dist/graphs/sinhc_pi.png
index d68f09293..25a580c24 100644
Binary files a/doc/sf_and_dist/graphs/sinhc_pi.png and b/doc/sf_and_dist/graphs/sinhc_pi.png differ
diff --git a/doc/sf_and_dist/graphs/sinhc_pi.svg b/doc/sf_and_dist/graphs/sinhc_pi.svg
index 276d8191b..b8a15b6e7 100644
--- a/doc/sf_and_dist/graphs/sinhc_pi.svg
+++ b/doc/sf_and_dist/graphs/sinhc_pi.svg
@@ -19,40 +19,41 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-4
-5
-0
--1
--2
--3
--4
--5
-5
-10
-15
+
+
+
+
+
+
+
+0
+1
+2
+3
+4
+5
+0
+-1
+-2
+-3
+-4
+-5
+
+5
+10
+15
-sinhc_pi(z)
+sinhc_pi(z)
-z
-
+z
+
diff --git a/doc/sf_and_dist/graphs/sph_bessel.png b/doc/sf_and_dist/graphs/sph_bessel.png
index 1243e9960..c4749540f 100644
Binary files a/doc/sf_and_dist/graphs/sph_bessel.png and b/doc/sf_and_dist/graphs/sph_bessel.png differ
diff --git a/doc/sf_and_dist/graphs/sph_bessel.svg b/doc/sf_and_dist/graphs/sph_bessel.svg
index beb6baa1d..c53d32a41 100644
--- a/doc/sf_and_dist/graphs/sph_bessel.svg
+++ b/doc/sf_and_dist/graphs/sph_bessel.svg
@@ -19,54 +19,55 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-5
-10
-15
-20
-0
-0
-0.5
-1
-0
+
+
+
+
+
+
+
+0
+5
+10
+15
+20
+0
+
+0
+0.5
+1
+0
-sph_bessel(v, x)
+sph_bessel(v, x)
-x
-
-
-
-
-
+x
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-v = 0
-v = 2
-v = 5
-v = 7
-v = 10
+v = 0
+v = 2
+v = 5
+v = 7
+v = 10
Bessel j
diff --git a/doc/sf_and_dist/graphs/sph_neumann.png b/doc/sf_and_dist/graphs/sph_neumann.png
index 73f57f978..8865198ee 100644
Binary files a/doc/sf_and_dist/graphs/sph_neumann.png and b/doc/sf_and_dist/graphs/sph_neumann.png differ
diff --git a/doc/sf_and_dist/graphs/sph_neumann.svg b/doc/sf_and_dist/graphs/sph_neumann.svg
index bb9e82673..ed1ea6f27 100644
--- a/doc/sf_and_dist/graphs/sph_neumann.svg
+++ b/doc/sf_and_dist/graphs/sph_neumann.svg
@@ -19,55 +19,56 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-5
-10
-15
-20
-0
-0
--1
--2
--3
--4
--5
+
+
+
+
+
+
+
+5
+10
+15
+20
+
+0
+0
+-1
+-2
+-3
+-4
+-5
-sph_neumann(v, x)
+sph_neumann(v, x)
-x
-
-
-
-
-
+x
+
+
+
+
+
-
-
-
-
-
-
+
+
+
+
+
+
-v = 0
-v = 2
-v = 5
-v = 7
-v = 10
+v = 0
+v = 2
+v = 5
+v = 7
+v = 10
Bessel y
diff --git a/doc/sf_and_dist/graphs/sqrt1pm1.png b/doc/sf_and_dist/graphs/sqrt1pm1.png
index 1de77d9ad..5773f7c88 100644
Binary files a/doc/sf_and_dist/graphs/sqrt1pm1.png and b/doc/sf_and_dist/graphs/sqrt1pm1.png differ
diff --git a/doc/sf_and_dist/graphs/sqrt1pm1.svg b/doc/sf_and_dist/graphs/sqrt1pm1.svg
index e18075dea..2142883d1 100644
--- a/doc/sf_and_dist/graphs/sqrt1pm1.svg
+++ b/doc/sf_and_dist/graphs/sqrt1pm1.svg
@@ -19,39 +19,40 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-4
-5
-0
--1
-0
-0.5
-1
-0
--0.5
--1
+
+
+
+
+
+
+
+0
+1
+2
+3
+4
+5
+0
+-1
+
+0
+0.5
+1
+0
+-0.5
+-1
-sqrt1pm1(z)
+sqrt1pm1(z)
-z
-
+z
+
diff --git a/doc/sf_and_dist/graphs/students_t_pdf.png b/doc/sf_and_dist/graphs/students_t_pdf.png
index b31c494c0..6329529a9 100644
Binary files a/doc/sf_and_dist/graphs/students_t_pdf.png and b/doc/sf_and_dist/graphs/students_t_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/students_t_pdf.svg b/doc/sf_and_dist/graphs/students_t_pdf.svg
index 6f11befcb..37e2c2691 100644
--- a/doc/sf_and_dist/graphs/students_t_pdf.svg
+++ b/doc/sf_and_dist/graphs/students_t_pdf.svg
@@ -12,54 +12,55 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-4
-0
--1
--2
--3
--4
-0
-0.1
-0.2
-0.3
-0.4
-0
+
+
+
+
+
+
+
+0
+1
+2
+3
+4
+0
+-1
+-2
+-3
+-4
+
+0
+0.1
+0.2
+0.3
+0.4
+0
-Probability
+Probability
-Random Variable
-
-
-
+Random Variable
+
+
+
-
-
-
-
+
+
+
+
-v=1
-v=5
-v=30
+v=1
+v=5
+v=30
Students T Distribution PDF
diff --git a/doc/sf_and_dist/graphs/tgamma.png b/doc/sf_and_dist/graphs/tgamma.png
index 582b292c2..e3d950764 100644
Binary files a/doc/sf_and_dist/graphs/tgamma.png and b/doc/sf_and_dist/graphs/tgamma.png differ
diff --git a/doc/sf_and_dist/graphs/tgamma.svg b/doc/sf_and_dist/graphs/tgamma.svg
index 2358696ec..5409fa267 100644
--- a/doc/sf_and_dist/graphs/tgamma.svg
+++ b/doc/sf_and_dist/graphs/tgamma.svg
@@ -19,46 +19,47 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-4
-5
-6
-0
--1
--2
--3
-0
-50
-100
-0
--50
--100
+
+
+
+
+
+
+
+0
+1
+2
+3
+4
+5
+6
+0
+-1
+-2
+-3
+
+0
+50
+100
+0
+-50
+-100
-tgamma(z)
+tgamma(z)
-z
-
-
-
-
-
+z
+
+
+
+
+
diff --git a/doc/sf_and_dist/graphs/tgamma_delta_ratio.png b/doc/sf_and_dist/graphs/tgamma_delta_ratio.png
index d8b043899..4e86a437a 100644
Binary files a/doc/sf_and_dist/graphs/tgamma_delta_ratio.png and b/doc/sf_and_dist/graphs/tgamma_delta_ratio.png differ
diff --git a/doc/sf_and_dist/graphs/tgamma_delta_ratio.svg b/doc/sf_and_dist/graphs/tgamma_delta_ratio.svg
index 951991f2d..8cc086362 100644
--- a/doc/sf_and_dist/graphs/tgamma_delta_ratio.svg
+++ b/doc/sf_and_dist/graphs/tgamma_delta_ratio.svg
@@ -19,60 +19,61 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-10
-20
-30
-40
-1
-2
-3
-4
-5
-6
+
+
+
+
+
+
+
+10
+20
+30
+40
+
+1
+2
+3
+4
+5
+6
-tgamma_delta_ratio(delta, z)
+tgamma_delta_ratio(delta, z)
-z
-
-
-
-
-
-
-
+z
+
+
+
+
+
+
+
-
-
-
-
-
-
-
-
+
+
+
+
+
+
+
+
-delta = -0.5
-delta = -0.2
-delta = -0.1
-delta = 0.1
-delta = 0.2
-delta = 0.5
-delta = 1.0
+delta = -0.5
+delta = -0.2
+delta = -0.1
+delta = 0.1
+delta = 0.2
+delta = 0.5
+delta = 1.0
tgamma_delta_ratio
diff --git a/doc/sf_and_dist/graphs/triangular_cdf.png b/doc/sf_and_dist/graphs/triangular_cdf.png
index 35a5be5c2..6eaf9f513 100644
Binary files a/doc/sf_and_dist/graphs/triangular_cdf.png and b/doc/sf_and_dist/graphs/triangular_cdf.png differ
diff --git a/doc/sf_and_dist/graphs/triangular_cdf.svg b/doc/sf_and_dist/graphs/triangular_cdf.svg
index 7126c1595..28fe1db87 100644
--- a/doc/sf_and_dist/graphs/triangular_cdf.svg
+++ b/doc/sf_and_dist/graphs/triangular_cdf.svg
@@ -12,64 +12,65 @@ xmlns ="http://www.w3.org/2000/svg"
-
+
-
+
-
-
-
-
-
-
-
-0
-1
-2
-3
-0
--1
--2
-0
-0.1
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
-0.8
-0.9
-1
-1.1
-0
+
+
+
+
+
+
+
+0
+1
+2
+3
+0
+-1
+-2
+
+0
+0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
+0.9
+1
+1.1
+0
-Probability
+Probability
-Random Variable
-
-
-
-
-
+Random Variable
+
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-
-
-
-
-
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-{-1,0,1}
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Triangular Distribution CDF
diff --git a/doc/sf_and_dist/graphs/triangular_pdf.png b/doc/sf_and_dist/graphs/triangular_pdf.png
index 09c74d24d..745801d64 100644
Binary files a/doc/sf_and_dist/graphs/triangular_pdf.png and b/doc/sf_and_dist/graphs/triangular_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/triangular_pdf.svg b/doc/sf_and_dist/graphs/triangular_pdf.svg
index 8e9f60644..8336dba7c 100644
--- a/doc/sf_and_dist/graphs/triangular_pdf.svg
+++ b/doc/sf_and_dist/graphs/triangular_pdf.svg
@@ -12,57 +12,58 @@ xmlns ="http://www.w3.org/2000/svg"
-
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+{0,1,3}
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+{-2,0,3}
Triangular Distribution PDF
diff --git a/doc/sf_and_dist/graphs/uniform_cdf.png b/doc/sf_and_dist/graphs/uniform_cdf.png
index c696510ac..c42429a78 100644
Binary files a/doc/sf_and_dist/graphs/uniform_cdf.png and b/doc/sf_and_dist/graphs/uniform_cdf.png differ
diff --git a/doc/sf_and_dist/graphs/uniform_cdf.svg b/doc/sf_and_dist/graphs/uniform_cdf.svg
index 3bde800e4..5ecad5b50 100644
--- a/doc/sf_and_dist/graphs/uniform_cdf.svg
+++ b/doc/sf_and_dist/graphs/uniform_cdf.svg
@@ -12,61 +12,62 @@ xmlns ="http://www.w3.org/2000/svg"
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-{0,1}
-{0,3}
-{-2,3}
-{-1,1}
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Uniform Distribution CDF
diff --git a/doc/sf_and_dist/graphs/uniform_pdf.png b/doc/sf_and_dist/graphs/uniform_pdf.png
index 5ecfdfb85..d831518fb 100644
Binary files a/doc/sf_and_dist/graphs/uniform_pdf.png and b/doc/sf_and_dist/graphs/uniform_pdf.png differ
diff --git a/doc/sf_and_dist/graphs/uniform_pdf.svg b/doc/sf_and_dist/graphs/uniform_pdf.svg
index deb0fc86a..ff3ab7dac 100644
--- a/doc/sf_and_dist/graphs/uniform_pdf.svg
+++ b/doc/sf_and_dist/graphs/uniform_pdf.svg
@@ -12,61 +12,62 @@ xmlns ="http://www.w3.org/2000/svg"
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-{0,1}
-{0,3}
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-{-1,1}
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Uniform Distribution PDF
diff --git a/doc/sf_and_dist/graphs/weibull_pdf1.png b/doc/sf_and_dist/graphs/weibull_pdf1.png
index 15d5c39d0..3add45fbe 100644
Binary files a/doc/sf_and_dist/graphs/weibull_pdf1.png and b/doc/sf_and_dist/graphs/weibull_pdf1.png differ
diff --git a/doc/sf_and_dist/graphs/weibull_pdf1.svg b/doc/sf_and_dist/graphs/weibull_pdf1.svg
index 56d51b657..397a40894 100644
--- a/doc/sf_and_dist/graphs/weibull_pdf1.svg
+++ b/doc/sf_and_dist/graphs/weibull_pdf1.svg
@@ -12,54 +12,55 @@ xmlns ="http://www.w3.org/2000/svg"
-
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-shape=0.75
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-shape=5
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Weibull Distribution PDF (scale=1)
diff --git a/doc/sf_and_dist/graphs/weibull_pdf2.png b/doc/sf_and_dist/graphs/weibull_pdf2.png
index 69f646350..ab2479ae6 100644
Binary files a/doc/sf_and_dist/graphs/weibull_pdf2.png and b/doc/sf_and_dist/graphs/weibull_pdf2.png differ
diff --git a/doc/sf_and_dist/graphs/weibull_pdf2.svg b/doc/sf_and_dist/graphs/weibull_pdf2.svg
index 758c4d0c5..44225995d 100644
--- a/doc/sf_and_dist/graphs/weibull_pdf2.svg
+++ b/doc/sf_and_dist/graphs/weibull_pdf2.svg
@@ -12,49 +12,50 @@ xmlns ="http://www.w3.org/2000/svg"
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-
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-scale=0.5
-scale=1
-scale=2
+scale=0.5
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Weibull Distribution PDF (shape=3)
diff --git a/doc/sf_and_dist/graphs/zeta1.png b/doc/sf_and_dist/graphs/zeta1.png
index db3860268..a9985eaef 100644
Binary files a/doc/sf_and_dist/graphs/zeta1.png and b/doc/sf_and_dist/graphs/zeta1.png differ
diff --git a/doc/sf_and_dist/graphs/zeta1.svg b/doc/sf_and_dist/graphs/zeta1.svg
index 02f8e13d4..782cb13ea 100644
--- a/doc/sf_and_dist/graphs/zeta1.svg
+++ b/doc/sf_and_dist/graphs/zeta1.svg
@@ -19,40 +19,41 @@ xmlns ="http://www.w3.org/2000/svg"
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-zeta(z)
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-z
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diff --git a/doc/sf_and_dist/graphs/zeta2.png b/doc/sf_and_dist/graphs/zeta2.png
index 1b213e18d..475fbcdcd 100644
Binary files a/doc/sf_and_dist/graphs/zeta2.png and b/doc/sf_and_dist/graphs/zeta2.png differ
diff --git a/doc/sf_and_dist/graphs/zeta2.svg b/doc/sf_and_dist/graphs/zeta2.svg
index cad9ea962..4c3245e08 100644
--- a/doc/sf_and_dist/graphs/zeta2.svg
+++ b/doc/sf_and_dist/graphs/zeta2.svg
@@ -19,35 +19,36 @@ xmlns ="http://www.w3.org/2000/svg"
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-
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diff --git a/doc/sf_and_dist/html/index.html b/doc/sf_and_dist/html/index.html
index a6ed3bda2..bd897a5b2 100644
--- a/doc/sf_and_dist/html/index.html
+++ b/doc/sf_and_dist/html/index.html
@@ -1,6 +1,6 @@
-
+
Math Toolkit
@@ -40,7 +40,7 @@
Bruno Lalande