fixed two typo

Author: soulmachine

README.md

@@ -12,7 +12,7 @@ The cheat sheet will also appeal to someone who is preparing for a job interview
 This open-source book adopts the [Springer latex template](http://www.springer.com/authors/book+authors?SGWID=0-154102-12-970131-0).
 
 ##How to compile on Windows
-1. Install [Tex Live 2012](http://www.tug.org/texlive/), then add its `bin` path for example `D:\texlive\2012\bin\win32` to he PATH environment variable.
+1. Install [Tex Live 2014](http://www.tug.org/texlive/), then add its `bin` path for example `D:\texlive\2012\bin\win32` to he PATH environment variable.
 2. Install [TeXstudio](http://texstudio.sourceforge.net/).
 3. Configure TeXstudio.  
     Run TeXstudio, click `Options-->Configure Texstudio-->Commands`, set `XeLaTex` to `xelatex -synctex=1 -interaction=nonstopmode %.tex`.

chapterLinearRegression.tex

@@ -34,7 +34,7 @@ \section{MLE}
 Now let us apply the method of MLE to the linear regression setting. Inserting the definition of the Gaussian into the above, we find that the log likelihood is given by
 \begin{align}
 \ell(\vec{\theta})& =\sum\limits_{i=1}^N \log\left[\dfrac{1}{\sqrt{2\pi}\sigma}\exp\left(-\dfrac{1}{2\sigma^2}(y_i-\vec{w}^T\vec{x}_i)^2\right)\right] \\
-     & =-\dfrac{1}{2\sigma^2}\text{RSS}(\vec{w})-\dfrac{\vec{w}}{2}\log(2\pi\sigma^2)
+     & =-\dfrac{1}{2\sigma^2}\text{RSS}(\vec{w})-\dfrac{N}{2}\log(2\pi\sigma^2)
 \end{align}
 
 RSS stands for \textbf{residual sum of squares} and is defined by

machine-learning-cheat-sheet.pdf

@@ -17,7 +17,7 @@ \section*{General math notation}
 \textbf{Symbol} & \textbf{Meaning} \\
 \noalign{\smallskip}\hline\noalign{\smallskip}
 $\lfloor x \rfloor$ & Floor of $x$, i.e., round down to nearest integer\\
-$\lceil x \rceil$ & Ceiling of $x$, i.e., round down to nearest integer\\
+$\lceil x \rceil$ & Ceiling of $x$, i.e., round up to nearest integer\\
 $\vec{x} \otimes \vec{y}$ & Convolution of $\vec{x}$ and $\vec{y}$\\
 $\vec{x} \odot \vec{y}$ & Hadamard (elementwise) product of $\vec{x}$ and $\vec{y}$\\
 $a \wedge b$ & logical AND\\