update on getting started

doc/pub/How2ReadData/ipynb/How2ReadData.ipynb

@@ -10,7 +10,7 @@
     "<!-- Author: -->  \n",
     "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n",
     "\n",
-    "Date: **Aug 13, 2019**\n",
+    "Date: **Aug 14, 2019**\n",
     "\n",
     "Copyright 1999-2019, Morten Hjorth-Jensen. Released under CC Attribution-NonCommercial 4.0 license\n",
     "\n",
@@ -36,7 +36,7 @@
     "software package [Scikit-Learn](http://scikit-learn.org/stable/) and\n",
     "introduce various machine learning algorithms to make fits of\n",
     "the data and predictions. We move thereafter to more interesting\n",
-    "cases such as nuclear binding energies.\n",
+    "cases such as data from say experiments (below we will look at experimental nuclear binding energies as an example).\n",
     "These are examples where we can easily set up the data and\n",
     "then use machine learning algorithms included in for example\n",
     "**Scikit-Learn**. \n",
@@ -45,7 +45,7 @@
     "started. Furthermore, they allow us to catch more than two birds with\n",
     "a stone. They will allow us to bring in some programming specific\n",
     "topics and tools as well as showing the power of various Python \n",
-    "packages for machine learning and statistical data analysis.  \n",
+    "libraries for machine learning and statistical data analysis.  \n",
     "\n",
     "Here, we will mainly focus on two\n",
     "specific Python packages for Machine Learning, Scikit-Learn and\n",
@@ -249,14 +249,14 @@
     "## Installing R, C++, cython or Julia\n",
     "\n",
     "You will also find it convenient to utilize **R**. We will mainly\n",
-    "use Python during lectures and in various projects and exercises.\n",
+    "use Python during our lectures and in various projects and exercises.\n",
     "Those of you\n",
     "already familiar with **R** should feel free to continue using **R**, keeping\n",
     "however an eye on the parallel Python set ups. Similarly, if you are a\n",
     "Python afecionado, feel free to explore **R** as well.  Jupyter/Ipython\n",
     "notebook allows you to run **R** codes interactively in your\n",
-    "browser. The software library **R** is tuned to statistically analysis\n",
-    "and allows for an easy usage of the tools we will discuss in these\n",
+    "browser. The software library **R** is really tailored  for statistical data analysis\n",
+    "and allows for an easy usage of the tools and algorithms we will discuss in these\n",
     "lectures.\n",
     "\n",
     "To install **R** with Jupyter notebook \n",
@@ -307,7 +307,7 @@
     "\n",
     "## Numpy examples and Important Matrix and vector handling packages\n",
     "\n",
-    "There are several central software packages for linear algebra and eigenvalue problems. Several of the more\n",
+    "There are several central software libraries for linear algebra and eigenvalue problems. Several of the more\n",
     "popular ones have been wrapped into ofter software packages like those from the widely used text **Numerical Recipes**. The original source codes in many of the available packages are often taken from the widely used\n",
     "software package LAPACK, which follows two other popular packages\n",
     "developed in the 1970s, namely EISPACK and LINPACK.  We describe them shortly here.\n",
@@ -347,8 +347,6 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "## Basic Matrix Features\n",
-    "\n",
     "The inverse of a matrix is defined by"
    ]
   },
@@ -365,11 +363,6 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "## Basic Matrix Features\n",
-    "\n",
-    "**Matrix Properties Reminder.**\n",
-    "\n",
-    "\n",
     "<table border=\"1\">\n",
     "<thead>\n",
     "<tr><th align=\"center\">              Relations               </th> <th align=\"center\">      Name     </th> <th align=\"center\">                            matrix elements                            </th> </tr>\n",
@@ -386,7 +379,7 @@
     "\n",
     "\n",
     "\n",
-    "## Some famous Matrices\n",
+    "### Some famous Matrices\n",
     "\n",
     "  * Diagonal if $a_{ij}=0$ for $i\\ne j$\n",
     "\n",
@@ -406,7 +399,7 @@
     "\n",
     "  * Banded, block upper triangular, block lower triangular....\n",
     "\n",
-    "## Basic Matrix Features\n",
+    "### More Basic Matrix Features\n",
     "\n",
     "**Some Equivalent Statements.**\n",
     "\n",