diff --git a/doc/html/index.html b/doc/html/index.html index 0d64f321e..84e4c7a2f 100644 --- a/doc/html/index.html +++ b/doc/html/index.html @@ -22,10 +22,40 @@

Boost.Math

-
+
+

+John Maddock +

+

+Paul A. Bristow +

+

+Hubert Holin +

+

+Daryle Walker +

+

+Xiaogang Zhang +

+

+Bruno Lalande +

+

+Johan Råde +

+

+Gautam Sewani +

+

+Thijs van den Berg +

+
+
-

+

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 -5 -6 -7 -8 -9 -10 -0.5 -1 -1.5 -2 -2.5 -3 + + + + + + + +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" - + - + - - - - - - - -0 -5 -10 -0 --5 --10 -0 -1 -2 -3 -0 --1 --2 + + + + + + + +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 -0 --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 @@ - - + - + - + - - - + + + - - - -0 -1 -0 -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 +0 + +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 + + + - - - - - - - - - + + + + + -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 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0 + + + +0 +1 +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 + + + - - - - - - - - - + + + + + -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 -0 -0.1 -0.2 -0.3 -0 + + + + + + + +0 +5 +0 +-5 + +0 +0.1 +0.2 +0.3 +0 -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 +-5 + +0 +0.1 +0.2 +0.3 +0.4 +0.5 +0.6 +0.7 +0 -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" - + - + - - - - - - - -0 -5 -10 -0 --5 --10 -0 -1 -2 -0 --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 -0 -0.1 -0.2 -0.3 -0.4 -0.5 -0 + + + + + + + +0 +5 +10 +15 +20 +0 + +0 +0.1 +0.2 +0.3 +0.4 +0.5 +0 -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 -0 --5 -0 -10 -20 -0 --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" - + - + - - - - - - - -0 -10 -20 -0 --10 --20 -0 -0.5 -1 -0 --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 +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 -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 - - - - - - - - - - - - - - - - - - - - - - - - - 0 - - - - - 0.1 - - - - - 0.2 - - - - - 0.3 - - - - - 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 - - - - - - - - - - - μ = 2, σ = 4 - - - - - - - - - - - diff --git a/doc/sf_and_dist/graphs/laplace_pdf_sigma.png b/doc/sf_and_dist/graphs/laplace_pdf_sigma.png deleted file mode 100644 index 1f0f17b14..000000000 Binary files a/doc/sf_and_dist/graphs/laplace_pdf_sigma.png and /dev/null differ diff --git a/doc/sf_and_dist/graphs/laplace_pdf_sigma.svg b/doc/sf_and_dist/graphs/laplace_pdf_sigma.svg deleted file mode 100644 index 67825f48f..000000000 --- a/doc/sf_and_dist/graphs/laplace_pdf_sigma.svg +++ /dev/null @@ -1,537 +0,0 @@ - - - -Produced by GNUPLOT 4.2 patchlevel 4 - - - - - - - - - - - - - - - - - - - - - - - - - 0 - - - - - 0.1 - - - - - 0.2 - - - - - 0.3 - - - - - 0.4 - - - - - 0.5 - - - - - -10 - - - - - -8 - - - - - -6 - - - - - -4 - - - - - -2 - - - - - 0 - - - - - 2 - - - - - 4 - - - - - 6 - - - - - 8 - - - - - 10 - - - - - Probability - - - - Random Variable - - - - - - - - μ = 0, σ = 1 - - - - - - - - - - - μ = 0, σ = 2 - - - - - - - - - - - μ = 0, σ = 5 - - - - - - - - - - - diff --git a/doc/sf_and_dist/graphs/legendre_p.png b/doc/sf_and_dist/graphs/legendre_p.png index a07e6c438..283bc3305 100644 Binary files a/doc/sf_and_dist/graphs/legendre_p.png and b/doc/sf_and_dist/graphs/legendre_p.png differ diff --git a/doc/sf_and_dist/graphs/legendre_p.svg b/doc/sf_and_dist/graphs/legendre_p.svg index abd90e550..94ba2f769 100644 --- a/doc/sf_and_dist/graphs/legendre_p.svg +++ b/doc/sf_and_dist/graphs/legendre_p.svg @@ -1,8 +1,11 @@ - - + @@ -16,62 +19,59 @@ - + - + - - - - - - - -0 -0.5 -1 -0 --0.5 --1 -0 -0.5 -1 -0 --0.5 --1 + + + + + + + +0 +0.5 +1 +0 +-0.5 +-1 + +0 +0.5 +1 +0 +-0.5 +-1 -legendre_p(l, x) +legendre_p(l, x) -x - - - - - +x + + + + + - - - - - - - - - - - - - + + + + + + + -l = 1 -l = 2 -l = 3 -l = 4 -l = 5 +l = 1 +l = 2 +l = 3 +l = 4 +l = 5 Legendre Polynomials + + diff --git a/doc/sf_and_dist/graphs/legendre_q.png b/doc/sf_and_dist/graphs/legendre_q.png index aafc52f00..ba0d8e270 100644 Binary files a/doc/sf_and_dist/graphs/legendre_q.png and b/doc/sf_and_dist/graphs/legendre_q.png differ diff --git a/doc/sf_and_dist/graphs/legendre_q.svg b/doc/sf_and_dist/graphs/legendre_q.svg index fa982d813..304f95121 100644 --- a/doc/sf_and_dist/graphs/legendre_q.svg +++ b/doc/sf_and_dist/graphs/legendre_q.svg @@ -1,8 +1,11 @@ - - + @@ -16,59 +19,56 @@ - + - + - - - - - - - -0 -0.5 -0 --0.5 -0 -0.5 -0 --0.5 --1 + + + + + + + +0 +0.5 +0 +-0.5 + +0 +0.5 +0 +-0.5 +-1 -legendre_q(l, x) +legendre_q(l, x) -x - - - - - +x + + + + + - - - - - - - - - - - - - + + + + + + + -l = 1 -l = 2 -l = 3 -l = 4 -l = 5 +l = 1 +l = 2 +l = 3 +l = 4 +l = 5 Legendre Polynomials of the Second Kind + + diff --git a/doc/sf_and_dist/graphs/lgamma.png b/doc/sf_and_dist/graphs/lgamma.png index ce2d2a40b..d0ed45ee5 100644 Binary files a/doc/sf_and_dist/graphs/lgamma.png and b/doc/sf_and_dist/graphs/lgamma.png differ diff --git a/doc/sf_and_dist/graphs/lgamma.svg b/doc/sf_and_dist/graphs/lgamma.svg index cb63ac0f5..2e5b72866 100644 --- a/doc/sf_and_dist/graphs/lgamma.svg +++ b/doc/sf_and_dist/graphs/lgamma.svg @@ -19,38 +19,39 @@ xmlns ="http://www.w3.org/2000/svg" - + - + - - - - - - - -0 -5 -10 -0 -0 -5 -10 -0 + + + + + + + +0 +5 +10 +0 + +0 +5 +10 +0 -lgamma(z) +lgamma(z) -z - - - - - - +z + + + + + + diff --git a/doc/sf_and_dist/graphs/log1p.png b/doc/sf_and_dist/graphs/log1p.png index f99e0d588..cc3f6f669 100644 Binary files a/doc/sf_and_dist/graphs/log1p.png and b/doc/sf_and_dist/graphs/log1p.png differ diff --git a/doc/sf_and_dist/graphs/log1p.svg b/doc/sf_and_dist/graphs/log1p.svg index d16abc37d..7d4e5dfdf 100644 --- a/doc/sf_and_dist/graphs/log1p.svg +++ b/doc/sf_and_dist/graphs/log1p.svg @@ -19,33 +19,34 @@ xmlns ="http://www.w3.org/2000/svg" - + - + - - - - - - - -0 -5 -10 -0 -0 -0 --5 --10 + + + + + + + +0 +5 +10 +0 + +0 +0 +-5 +-10 -log1p(z) +log1p(z) -z - +z + diff --git a/doc/sf_and_dist/graphs/lognormal_pdf1.png b/doc/sf_and_dist/graphs/lognormal_pdf1.png index f2b730bed..5492cb726 100644 Binary files a/doc/sf_and_dist/graphs/lognormal_pdf1.png and b/doc/sf_and_dist/graphs/lognormal_pdf1.png differ diff --git a/doc/sf_and_dist/graphs/lognormal_pdf1.svg b/doc/sf_and_dist/graphs/lognormal_pdf1.svg index 80957c6f2..b7e41bb62 100644 --- a/doc/sf_and_dist/graphs/lognormal_pdf1.svg +++ b/doc/sf_and_dist/graphs/lognormal_pdf1.svg @@ -12,47 +12,48 @@ xmlns ="http://www.w3.org/2000/svg" - + - + - - - - - - - -0 -5 -10 -0 -0 -0.5 -1 -1.5 -0 + + + + + + + +0 +5 +10 +0 + +0 +0.5 +1 +1.5 +0 -Probability +Probability -Random Variable - - - +Random Variable + + + - - - - + + + + -location=-1 -location=0 -location=1 +location=-1 +location=0 +location=1 Lognormal Distribution PDF (scale=1) diff --git a/doc/sf_and_dist/graphs/lognormal_pdf2.png b/doc/sf_and_dist/graphs/lognormal_pdf2.png index ab60aff03..dc867d9d2 100644 Binary files a/doc/sf_and_dist/graphs/lognormal_pdf2.png and b/doc/sf_and_dist/graphs/lognormal_pdf2.png differ diff --git a/doc/sf_and_dist/graphs/lognormal_pdf2.svg b/doc/sf_and_dist/graphs/lognormal_pdf2.svg index daef2ae8d..a8ec63f76 100644 --- a/doc/sf_and_dist/graphs/lognormal_pdf2.svg +++ b/doc/sf_and_dist/graphs/lognormal_pdf2.svg @@ -12,48 +12,49 @@ xmlns ="http://www.w3.org/2000/svg" - + - + - - - - - - - -0 -1 -2 -3 -4 -0 -0 -0.5 -1 -0 + + + + + + + +0 +1 +2 +3 +4 +0 + +0 +0.5 +1 +0 -Probability +Probability -Random Variable - - - +Random Variable + + + - - - - + + + + -scale=0.5 -scale=1 -scale=2 +scale=0.5 +scale=1 +scale=2 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 --- a/doc/sf_and_dist/graphs/nc_beta_pdf.svg +++ b/doc/sf_and_dist/graphs/nc_beta_pdf.svg @@ -12,69 +12,70 @@ 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 -1 -2 -3 -4 -5 -6 -7 -8 -0 + + + + + + + +0 +0.1 +0.2 +0.3 +0.4 +0.5 +0.6 +0.7 +0.8 +0.9 +1 +0 + +0 +1 +2 +3 +4 +5 +6 +7 +8 +0 -Probability +Probability -Random Variable - - - - - - +Random Variable + + + + + + - - - - - - - + + + + + + + -α=10, β=15, δ=0 -α=10, β=15, δ=1 -α=10, β=15, δ=5 -α=10, β=15, δ=10 -α=10, β=15, δ=40 -α=10, β=15, δ=100 +α=10, β=15, δ=0 +α=10, β=15, δ=1 +α=10, β=15, δ=5 +α=10, β=15, δ=10 +α=10, β=15, δ=40 +α=10, β=15, δ=100 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 diff --git a/doc/sf_and_dist/graphs/nc_f_pdf.svg b/doc/sf_and_dist/graphs/nc_f_pdf.svg index 60d59a52a..5988e07f5 100644 --- a/doc/sf_and_dist/graphs/nc_f_pdf.svg +++ b/doc/sf_and_dist/graphs/nc_f_pdf.svg @@ -12,64 +12,65 @@ 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 -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 +0 -Probability +Probability -Random Variable - - - - - - +Random Variable + + + + + + - - - - - - - + + + + + + + -v1=10, v2=20, λ=0 -v1=10, v2=20, λ=1 -v1=10, v2=20, λ=5 -v1=10, v2=20, λ=10 -v1=10, v2=20, λ=40 -v1=10, v2=20, λ=100 +v1=10, v2=20, λ=0 +v1=10, v2=20, λ=1 +v1=10, v2=20, λ=5 +v1=10, v2=20, λ=10 +v1=10, v2=20, λ=40 +v1=10, v2=20, λ=100 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 diff --git a/doc/sf_and_dist/graphs/nc_t_pdf.svg b/doc/sf_and_dist/graphs/nc_t_pdf.svg index 8c65b18e3..f209e2372 100644 --- a/doc/sf_and_dist/graphs/nc_t_pdf.svg +++ b/doc/sf_and_dist/graphs/nc_t_pdf.svg @@ -12,54 +12,55 @@ xmlns ="http://www.w3.org/2000/svg" - + - + - - - - - - - -0 -10 -0 --10 -0 -0.1 -0.2 -0.3 -0.4 -0 + + + + + + + +0 +10 +0 +-10 + +0 +0.1 +0.2 +0.3 +0.4 +0 -Probability +Probability -Random Variable - - - - - +Random Variable + + + + + - - - - - - + + + + + + -v=10, δ=-10 -v=10, δ=-5 -v=10, δ=0 -v=10, δ=5 -v=10, δ=10 +v=10, δ=-10 +v=10, δ=-5 +v=10, δ=0 +v=10, δ=5 +v=10, δ=10 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 diff --git a/doc/sf_and_dist/graphs/nccs_pdf.svg b/doc/sf_and_dist/graphs/nccs_pdf.svg index 44329d80c..7ff8d1dd0 100644 --- a/doc/sf_and_dist/graphs/nccs_pdf.svg +++ b/doc/sf_and_dist/graphs/nccs_pdf.svg @@ -12,61 +12,62 @@ xmlns ="http://www.w3.org/2000/svg" - + - + - - - - - - - -0 -50 -100 -150 -0 -0 -0.01 -0.02 -0.03 -0.04 -0.05 -0.06 -0.07 -0 + + + + + + + +0 +50 +100 +150 +0 + +0 +0.01 +0.02 +0.03 +0.04 +0.05 +0.06 +0.07 +0 -Probability +Probability -Random Variable - - - - - - +Random Variable + + + + + + - - - - - - - + + + + + + + -v=20, λ=0 -v=20, λ=1 -v=20, λ=5 -v=20, λ=10 -v=20, λ=20 -v=20, λ=100 +v=20, λ=0 +v=20, λ=1 +v=20, λ=5 +v=20, λ=10 +v=20, λ=20 +v=20, λ=100 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 Binary files a/doc/sf_and_dist/graphs/negative_binomial_pdf_1.png and b/doc/sf_and_dist/graphs/negative_binomial_pdf_1.png differ 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 @@ - - + - + - + - - - + + + - - - -0 -50 -100 -0 -0 -0.05 -0.1 -0.15 -0 + + + +0 +50 +100 +0 + +0 +0.05 +0.1 +0.15 +0 -Probability +Probability -Random Variable - - - +Random Variable + + + - - - - - - - - - + + + + + -n=20 p=0.25 -n=20 p=0.5 -n=20 p=0.75 +n=20 p=0.25 +n=20 p=0.5 +n=20 p=0.75 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 Binary files a/doc/sf_and_dist/graphs/negative_binomial_pdf_2.png and b/doc/sf_and_dist/graphs/negative_binomial_pdf_2.png differ diff --git a/doc/sf_and_dist/graphs/negative_binomial_pdf_2.svg b/doc/sf_and_dist/graphs/negative_binomial_pdf_2.svg index 9edb454c5..a907128b2 100644 --- a/doc/sf_and_dist/graphs/negative_binomial_pdf_2.svg +++ b/doc/sf_and_dist/graphs/negative_binomial_pdf_2.svg @@ -1,66 +1,68 @@ - - + - + - + - - - + + + - - - -0 -50 -100 -0 -0 -0.01 -0.02 -0.03 -0.04 -0.05 -0.06 -0.07 -0.08 -0.09 -0.1 -0 + + + +0 +50 +100 +0 + +0 +0.01 +0.02 +0.03 +0.04 +0.05 +0.06 +0.07 +0.08 +0.09 +0.1 +0 -Probability +Probability -Random Variable - - - +Random Variable + + + - - - - - - - - - + + + + + -n=10 p=0.5 -n=40 p=0.5 -n=70 p=0.5 +n=10 p=0.5 +n=20 p=0.5 +n=70 p=0.5 Negative Binomial Distribution PDF + + 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 --- a/doc/sf_and_dist/graphs/normal_pdf.svg +++ b/doc/sf_and_dist/graphs/normal_pdf.svg @@ -12,64 +12,65 @@ 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 -0.5 -0.6 -0.7 -0.8 -0 + + + + + + + +0 +1 +2 +3 +4 +0 +-1 +-2 +-3 +-4 + +0 +0.1 +0.2 +0.3 +0.4 +0.5 +0.6 +0.7 +0.8 +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 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 + + + + + - - - - - - + + + + + + -{-1,0,1} -{0,1,1} -{0,1,3} -{0,0.5,1} -{-2,0,3} +{-1,0,1} +{0,1,1} +{0,1,3} +{0,0.5,1} +{-2,0,3} 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" - + - + - - - - - - - -0 -1 -2 -3 -0 --1 --2 -0 -0.5 -1 -1.5 -2 -0 + + + + + + + +0 +1 +2 +3 +0 +-1 +-2 + +0 +0.5 +1 +1.5 +2 +0 -Probability +Probability -Random Variable - - - - - +Random Variable + + + + + - - - - - - + + + + + + -{-1,0,1} -{0,1,1} -{0,1,3} -{0,0.5,1} -{-2,0,3} +{-1,0,1} +{0,1,1} +{0,1,3} +{0,0.5,1} +{-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" - + - + - - - - - - - -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 + + + + - - - - - + + + + + -{0,1} -{0,3} -{-2,3} -{-1,1} +{0,1} +{0,3} +{-2,3} +{-1,1} 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" - + - + - - - - - - - -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 + + + + - - - - - + + + + + -{0,1} -{0,3} -{-2,3} -{-1,1} +{0,1} +{0,3} +{-2,3} +{-1,1} 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" - + - + - - - - - - - -0 -0.5 -1 -1.5 -2 -2.5 -3 -0 -1 -2 -3 -4 -0 + + + + + + + +0 +0.5 +1 +1.5 +2 +2.5 +3 + +0 +1 +2 +3 +4 +0 -Probability +Probability -Random Variable - - - - +Random Variable + + + + - - - - - + + + + + -shape=0.75 -shape=1 -shape=5 -shape=10 +shape=0.75 +shape=1 +shape=5 +shape=10 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" - + - + - - - - - - - -0 -1 -2 -3 -0 -0.5 -1 -1.5 -2 -2.5 -0 + + + + + + + +0 +1 +2 +3 + +0 +0.5 +1 +1.5 +2 +2.5 +0 -Probability +Probability -Random Variable - - - +Random Variable + + + - - - - + + + + -scale=0.5 -scale=1 -scale=2 +scale=0.5 +scale=1 +scale=2 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" - + - + - - - - - - - -0 -5 -10 -0 --5 --10 --15 --20 -0 -10 -20 -30 -40 -0 + + + + + + + +0 +5 +10 +0 +-5 +-10 +-15 +-20 + +0 +10 +20 +30 +40 +0 -zeta(z) +zeta(z) -z - - +z + + 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" - + - + - - - - - - - -0 -0 --5 --10 -0 -0 --0.1 --0.2 --0.3 --0.4 + + + + + + + +0 +0 +-5 +-10 + +0 +0 +-0.1 +-0.2 +-0.3 +-0.4 -zeta(z) +zeta(z) -z - +z + 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

-Johan Råde +Johan Råde

Gautam Sewani @@ -49,11 +49,11 @@ Thijs van den Berg

-
-

+

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)

@@ -488,7 +488,7 @@

- +

Last revised: October 16, 2009 at 09:52:32 GMT

Last revised: February 03, 2010 at 09:52:16 GMT


diff --git a/doc/sf_and_dist/html/math_toolkit/backgrounders.html b/doc/sf_and_dist/html/math_toolkit/backgrounders.html index 4c401eb83..a1eef1c96 100644 --- a/doc/sf_and_dist/html/math_toolkit/backgrounders.html +++ b/doc/sf_and_dist/html/math_toolkit/backgrounders.html @@ -1,6 +1,6 @@ - + Backgrounders @@ -38,8 +38,8 @@
-
- + Handling of Functions that are Not Mathematically defined
@@ -276,7 +276,7 @@

- + Median of distributions
@@ -309,7 +309,7 @@ Basic Statistics. give more detail, in particular for discrete distributions.

- + Handling of Floating-Point Infinity
@@ -353,7 +353,7 @@ handling policies.

- + Scale, Shape and Location
@@ -380,7 +380,7 @@ functions, they can be added if required.

- + Notes on Implementation of Specific Functions & Distributions
@@ -392,7 +392,7 @@ 0 and upper = 1 would be more suitable.
- + Rational Approximations Used
@@ -435,7 +435,7 @@ to the "true" minimax solution.

- + Representation of Mathematical Constants
@@ -496,7 +496,7 @@ double p = boost::math::constants::pi(); // Context does not allow for disambiguation of overloaded function
- + Thread safety
@@ -521,7 +521,7 @@ the right thing here at some point.

- + Sources of Test Data
@@ -565,7 +565,7 @@ the underlying special function is known to be difficult to implement.

- + Creating and Managing the Equations
@@ -737,7 +737,7 @@ done HTML: this needs further investigation.

- + Producing Graphs
@@ -754,8 +754,8 @@ done -
- + Motivation

@@ -98,7 +98,7 @@ functions divided by large powers into single (simpler) expressions.

- + The Approximation
@@ -160,7 +160,7 @@

- + Computing the Coefficients
@@ -204,7 +204,7 @@ multiplied by F as the last step.

- + Choosing the Right Parameters
@@ -228,7 +228,7 @@ computing to float precision with double precision arithmetic.

-

Table 53. Optimal choices for N and g when computing with +

Table 53. Optimal choices for N and g when computing with guard digits (source: Pugh)

@@ -371,7 +371,7 @@ exactly matches the machine epsilon for the type in question.

-

Table 54. Optimum value for N and g when computing at fixed +

Table 54. Optimum value for N and g when computing at fixed precision

@@ -536,7 +536,7 @@ is exact, and so isn't used for the gamma function.

- + References
    @@ -561,8 +561,8 @@
-
- + General references
@@ -91,7 +91,7 @@ Library (version 2), Walter E. Brown

- + Calculators* that we found (and used to cross-check - as far as their widely-varying accuracy allowed). @@ -101,7 +101,7 @@ Binomial Probability Distribution Calculator.

- + Other Libraries

@@ -161,8 +161,8 @@ -
-
- + Remez Step 1
@@ -205,7 +205,7 @@ to 5.6x10-4.

- + Remez Step 2
@@ -234,7 +234,7 @@ In our example we perform multi-point exchange.

- + Iteration

@@ -250,7 +250,7 @@ remez-4

- + Rational Approximations
@@ -299,7 +299,7 @@ number of terms overall.

- + Practical Considerations
@@ -407,7 +407,7 @@ desired minimax solution (5x10-4).

- + Remez Method Checklist
@@ -461,7 +461,7 @@
- + References

@@ -527,8 +527,8 @@ -
-
-
- + Finding the Location and Scale for Normal and similar distributions
@@ -50,7 +50,7 @@ using boost::math::complement; // Will be needed by users who want to use complements.
- + find_location function
@@ -80,7 +80,7 @@ }} // namespaces
- + find_scale function
@@ -130,8 +130,8 @@ -
-
- + References
    @@ -339,8 +339,8 @@
-
- + References

@@ -615,8 +615,8 @@ from presumed-known mean and variance. -

- + Estimating the Number of Trials Required for a Certain Number of Successes
@@ -431,7 +431,7 @@ of seeing 10 events that occur with frequency one half.

- + Estimating the Maximum Number of Trials to Ensure no more than a Certain Number of Successes @@ -479,7 +479,7 @@ Worked Example.

- + Non-member Accessors
@@ -504,7 +504,7 @@ in the context of this distribution:

-

Table 11. Meaning of the non-member accessors

+

Table 11. Meaning of the non-member accessors

@@ -627,7 +627,7 @@

- + Examples

@@ -635,7 +635,7 @@ examples are available illustrating the use of the binomial distribution.

- + Accuracy

@@ -645,7 +645,7 @@ please refer to these functions for information on accuracy.

- + Implementation

@@ -886,7 +886,7 @@

- + References
    @@ -907,8 +907,8 @@
-
- + References
    @@ -291,8 +291,8 @@
-
- + References
    @@ -394,8 +394,8 @@ independent, normally distributed random
-
- + references
    @@ -310,8 +310,8 @@
-
-
-
-
- + Accuracy

@@ -211,7 +211,7 @@ meaningless for N >= 1015.

- + Testing

@@ -223,7 +223,7 @@ this implementation and NTL::RR.

- + Implementation

@@ -328,8 +328,8 @@ -

- + References
    @@ -354,8 +348,8 @@
-