Merge branch 'develop' of https://github.com/stdlib-js/stdlib into develop

kgryte · kgryte · commit e8d2084c2c22 · 2017-08-24T10:39:16.000-07:00
diff --git a/lib/node_modules/@stdlib/math/base/dist/binomial/entropy/README.md b/lib/node_modules/@stdlib/math/base/dist/binomial/entropy/README.md
@@ -10,10 +10,10 @@
 The [entropy][entropy] (in [nats][nats]) for a [binomial][binomial-distribution] random variable is
 
 <!-- <equation class="equation" label="eq:binomial_entropy" align="center" raw="H\left( X 
-\right) = {\frac {1}{2}}\ln{\big (}2\pi e\,np(1-p){\big )}" alt="Entropy for a binomial distribution."> -->
+\right) = {\frac {1}{2}}\ln{\left(2\pi\,e\,np\,(1-p) \right)}" alt="Entropy for a binomial distribution."> -->
 
-<div class="equation" align="center" data-raw-text="H \left( X 
-\right) = {\frac {1}{2}}\ln{\big (}2\pi e\,np(1-p){\big )}" data-equation="eq:binomial_entropy">
+<div class="equation" align="center" data-raw-text="H\left( X 
+\right) = {\frac {1}{2}}\ln{\left(2\pi\,e\,np\,(1-p) \right)}" data-equation="eq:binomial_entropy">
     <img src="" alt="Entropy for a binomial distribution.">
     <br>
 </div>
diff --git a/lib/node_modules/@stdlib/math/base/dist/chi/entropy/README.md b/lib/node_modules/@stdlib/math/base/dist/chi/entropy/README.md
@@ -9,9 +9,9 @@
 
 The [differential entropy][entropy] (in [nats][nats]) for a [chi][chi-distribution] random variable is
 
-<!-- <equation class="equation" label="eq:chi_entropy" align="center" raw="h\left( X \right) = \ln(\Gamma(k/2)){\tfrac{1}{2}}(k\!-\!\ln(2)\!-\!(k\!-\!1)\psi(k/2))" alt="Differential entropy for a chi distribution."> -->
+<!-- <equation class="equation" label="eq:chi_entropy" align="center" raw="h\left( X \right) = \ln(\Gamma(k/2)) + {\tfrac{1}{2}}(k\!-\!\ln(2)\!-\!(k\!-\!1)\psi(k/2))" alt="Differential entropy for a chi distribution."> -->
 
-<div class="equation" align="center" data-raw-text="h\left( X \right) = \ln(\Gamma(k/2)){\tfrac{1}{2}}(k\!-\!\ln(2)\!-\!(k\!-\!1)\psi(k/2))" data-equation="eq:chi_entropy">
+<div class="equation" align="center" data-raw-text="h\left( X \right) = \ln(\Gamma(k/2)) + {\tfrac{1}{2}}(k\!-\!\ln(2)\!-\!(k\!-\!1)\psi(k/2))" data-equation="eq:chi_entropy">
     <img src="" alt="Differential entropy for a chi distribution.">
     <br>
 </div>
diff --git a/lib/node_modules/@stdlib/math/base/dist/chi/mean/README.md b/lib/node_modules/@stdlib/math/base/dist/chi/mean/README.md
@@ -9,7 +9,7 @@
 
 The [expected value][expected-value] for a [chi][chi-distribution] random variable is
 
-<!-- <equation class="equation" label="eq:chi_expectation" align="center" raw="\mathbb{E}\left[ X \right] = \sqrt{2}\,\frac{\Gamma (k+1)/2)}{\Gamma(k/2)}" alt="Expected value for a chi distribution."> -->
+<!-- <equation class="equation" label="eq:chi_expectation" align="center" raw="\mathbb{E}\left[ X \right] = \sqrt{2}\,\frac{\Gamma((k+1)/2)}{\Gamma(k/2)}" alt="Expected value for a chi distribution."> -->
 
 <div class="equation" align="center" data-raw-text="\mathbb{E}\left[ X \right] = \sqrt{2}\,\frac{\Gamma((k+1)/2)}{\Gamma(k/2)}" data-equation="eq:chi_expectation">
     <img src="" alt="Expected value for a chi distribution.">
diff --git a/lib/node_modules/@stdlib/math/base/dist/cosine/mgf/README.md b/lib/node_modules/@stdlib/math/base/dist/cosine/mgf/README.md
@@ -5,6 +5,19 @@
 
 <section class="intro">
 
+The [moment-generating function][mgf] for a [raised cosine][cosine-distribution] random variable is
+
+<!-- <equation class="equation" label="eq:cosine_mgf" align="center" raw="M_X(t) := \mathbb{E}\!\left[e^{tX}\right] = \frac{ \pi^{2} \sinh(st) }{ st(\pi^{2}+s^{2}t^{2}) } \,e^{\mu t}" alt="Moment-generating function for a raised cosine distribution."> -->
+
+<div class="equation" align="center" data-raw-text="M_X(t) := \mathbb{E}\!\left[e^{tX}\right] = \frac{ \pi^{2} \sinh(st) }{ st(\pi^{2}+s^{2}t^{2}) } \,e^{\mu t}" data-equation="eq:cosine_mgf">
+    <img src="" alt="Moment-generating function for a raised cosine distribution.">
+    <br>
+</div>
+
+<!-- </equation> -->
+
+where `μ` is the location parameter and `s > 0` is the scale parameter.
+
 </section>
 
 <!-- /.intro -->
diff --git a/lib/node_modules/@stdlib/math/base/dist/degenerate/cdf/README.md b/lib/node_modules/@stdlib/math/base/dist/degenerate/cdf/README.md
@@ -7,7 +7,7 @@
 
 The [cumulative distribution function][cdf] for a [degenerate][degenerate-distribution] random variable is
 
-<!-- <equation class="equation" label="eq:degenerate_cdf" align="center" raw="F(x;\mu)={\begin{cases}1,&amp; x \geq \mu,\\0,& x < \mu.\end{cases}}" alt="Cumulative distribution function for a degenerate distribution."> -->
+<!-- <equation class="equation" label="eq:degenerate_cdf" align="center" raw="F(x;\mu)={\begin{cases}1, & x \geq \mu,\\0,& x < \mu.\end{cases}}" alt="Cumulative distribution function for a degenerate distribution."> -->
 
 <div class="equation" align="center" data-raw-text="F(x;\mu)={\begin{cases}1, &amp; x \geq \mu\\0, &amp; x < \mu\end{cases}}" data-equation="eq:degenerate_cdf">
     <img src="" alt="Cumulative distribution function for a degenerate distribution.">
diff --git a/lib/node_modules/@stdlib/math/base/dist/exponential/cdf/README.md b/lib/node_modules/@stdlib/math/base/dist/exponential/cdf/README.md
@@ -7,7 +7,7 @@
 
 The [cumulative distribution function][cdf] for an [exponential][exponential-distribution] random variable is
 
-<!-- <equation class="equation" label="eq:exponential_cdf" align="center" raw="F(x;\lambda) = \begin{cases} 1-e^{-\lambda x} &amp; x \ge 0 \\ 0 & x < 0 \end{cases}" alt="Cumulative distribution function for an exponential distribution."> -->
+<!-- <equation class="equation" label="eq:exponential_cdf" align="center" raw="F(x;\lambda) = \begin{cases} 1-e^{-\lambda x} & x \ge 0 \\ 0 & x < 0 \end{cases}" alt="Cumulative distribution function for an exponential distribution."> -->
 
 <div class="equation" align="center" data-raw-text="F(x;\lambda) = \begin{cases} 1-e^{-\lambda x} &amp; x \ge 0 \\ 0 & x < 0 \end{cases}" data-equation="eq:exponential_cdf">
     <img src="" alt="Cumulative distribution function for an exponential distribution.">
