Update documentation

README.html

@@ -590,7 +590,7 @@ <h2>📑 Content<a class="headerlink" href="#content" title="Link to this headin
 <h2>🚀 Getting started with coding<a class="headerlink" href="#getting-started-with-coding" title="Link to this heading">#</a></h2>
 <p>To run the notebooks the recommended steps are the following:</p>
 <ol class="arabic simple">
-<li><p>Download and install <a class="reference external" href="https://docs.conda.io/projects/miniconda/en/latest/miniconda-install.htmlLinks">Miniconda</a>.</p></li>
+<li><p>Download and install <a class="reference external" href="https://docs.conda.io/projects/miniconda/en/latest/miniconda-install.html">Miniconda</a>.</p></li>
 <li><p>Download the <a class="reference download internal" download="" href="_downloads/1049b52ad0dc7bd2ea78bf0d67aa313a/env.yml"><span class="xref download myst">env.yml</span></a> file.</p></li>
 <li><p>Open the shell and navigate to the location with the yml file you just downloaded.</p>
 <ul class="simple">

_sources/README.md

@@ -131,7 +131,7 @@ For more information and for reading the content of this repository, please refe
 
 To run the notebooks the recommended steps are the following:
 
-1. Download and install [Miniconda](https://docs.conda.io/projects/miniconda/en/latest/miniconda-install.htmlLinks).
+1. Download and install [Miniconda](https://docs.conda.io/projects/miniconda/en/latest/miniconda-install.html).
 
 2. Download the [env.yml](env.yml) file.
 

_sources/notebooks/00/intro.md

@@ -39,7 +39,7 @@ You can read all the content of this book online. However, to get your hands-on
 
 To run the code and the notebooks the recommended steps are the following:
 
-1. Download and install [Miniconda](https://docs.conda.io/projects/miniconda/en/latest/miniconda-install.htmlLinks).
+1. Download and install [Miniconda](https://docs.conda.io/projects/miniconda/en/latest/miniconda-install.html).
 
 2. Download the [env.yml](https://github.com/FilippoMB/python-time-series-handbook/blob/main/env.yml) file.
 

_sources/notebooks/11/nonlinear-ts.ipynb

@@ -1318,7 +1318,7 @@
    "source": [
     "#### Return maps\n",
     "\n",
-    "- Another important distinction is chaos and randomness.\n",
+    "- Another important distinction is between chaos and randomness.\n",
     "- At first glance, a chaotic and a stochastic processes look a lot alike.\n",
     "- Let's consider the time series of samples generated by:\n",
     "    - a uniform distribution;\n",
@@ -2053,15 +2053,15 @@
    },
    "source": [
     "- The Jacobian of the system is the matrix of the partial derivatives.\n",
-    "- Consider a general dynamical system with three variables $x$, $y$, and $z$, represented by the equations\n",
+    "- Consider a general dynamical system with three variables $x$, $y$, and $z$, represented by the equations:\n",
     "\n",
     "\\begin{cases}\n",
     "\\dot{x} = f(x, y, z) \\\\\n",
     "\\dot{y} = g(x, y, z) \\\\\n",
     "\\dot{z} = h(x, y, z)\n",
     "\\end{cases}\n",
     "\n",
-    "- The Jacobian is\n",
+    "- The Jacobian is:\n",
     "\n",
     "$$\n",
     "J = \\begin{bmatrix}\n",
@@ -2071,7 +2071,7 @@
     "\\end{bmatrix}\n",
     "$$\n",
     "\n",
-    "- For the Lorenz system we have\n",
+    "- So, for the Lorenz system we have:\n",
     "\n",
     "$$\n",
     "J_{\\text{Lorenz}} = \\begin{bmatrix}\n",
@@ -2235,7 +2235,7 @@
     "r_values = np.arange(20, 100, 0.05) \n",
     "params = np.array([np.tile(sigma, len(r_values)), r_values, np.tile(beta, len(r_values))]).T\n",
     "\n",
-    "x0 = [.1, .1, .1]  # Initial conditions\n",
+    "x0 = [1.5, -1.5, 20.]  # Initial conditions\n",
     "t = np.arange(0, 10, 0.002) # Time vector"
    ]
   },

notebooks/00/intro.html

@@ -446,7 +446,7 @@ <h2>🚀 Getting started with coding<a class="headerlink" href="#getting-started
 </a>.</p>
 <p>To run the code and the notebooks the recommended steps are the following:</p>
 <ol class="arabic">
-<li><p>Download and install <a class="reference external" href="https://docs.conda.io/projects/miniconda/en/latest/miniconda-install.htmlLinks">Miniconda</a>.</p></li>
+<li><p>Download and install <a class="reference external" href="https://docs.conda.io/projects/miniconda/en/latest/miniconda-install.html">Miniconda</a>.</p></li>
 <li><p>Download the <a class="reference external" href="https://github.com/FilippoMB/python-time-series-handbook/blob/main/env.yml">env.yml</a> file.</p></li>
 <li><p>Open the shell and navigate to the location with the yml file you just downloaded.</p>
 <ul class="simple">