Updated the introduction

2018-05-28 17:38:49 -04:00
parent eb8d0529b0
commit 998e88b58a
19 changed files with 1347 additions and 502 deletions
@@ -225,7 +225,7 @@ function $y$ to

 !bt
 \[
-y = 10x+0.01N(0,1),
+y = 10x+0.01 \times N(0,1),
 \]
 !et

@@ -236,7 +236,7 @@ set. However, this testing 'by the eye' is obviouly not satisfactory in the
 long run. Here we have only defined the training data and our model, and 
 have not discussed a more rigorous approach to the _cost_ function.

-We need more rigorous criteria in defining whether we have succeed or
+We need more rigorous criteria in defining whether we have succeeded or
 not in modeling our training data.  You will be surprised to see that
 many scientists seldomly venture beyond this 'by the eye' approach. A
 standard approach for the *cost* function is the so-called $\chi^2$