What exactly are you trying to achieve with this email?

On 2013-11-14 18:44, Damon McDougall wrote:
>> + \item Number of stages for the DR method: 
>> $n_{\text{stages}}\geqslant 1$;
>> + \item For $1\leqslant i\leqslant n_{\text{stages}}$, functions 
>> $q_i:\underbrace{\mathbb{R}^N\times\ldots\times\mathbb{R}^N}_{(i+1)\text{ times}}\rightarrow\mathbb{R}_{+}$, such that $q_i(\mathbf{a},\mathbf{x}^{(1)},\ldots,\mathbf{x}^{(i-1)},\cdot)$ is a PDF for any $(\mathbf{a},\mathbf{x}^{(1)},\ldots,\mathbf{x}^{(i-1)})\in\underbrace{\mathbb{R}^N\times\ldots\times\mathbb{R}^N}_{i\text{ times}}$; i.e., choose $q_i$ as in Equation~\eqref{eq:qi};
>> + \item Recursively define 
>> $\alpha_i:\underbrace{\mathbb{R}^n\times\ldots\times\mathbb{R}^n}_{(i+1)\text{ times}}\rightarrow [0,1],\quad 1\leqslant i\leqslant n_{\text{stages}}$ according to Equation~\eqref{eq-alphas}.
>> +\end{itemize}
>> +
>> +% . Also, the Gaussian proposal at each stage $i$ is defined as:
>> +% \begin{equation*}
>> +% q_i(\underbrace{\mathbf{a},\mathbf{b},\ldots,\mathbf{y}}_{i\text{ 
>> terms}},\mathbf{z})
>> +% =
>> +% e^{-\frac{1}{2}{\displaystyle \left\{[\mathbf{z}-\mathbf{a}]^T\cdot 
>> \left[\frac{1}{\gamma_i^2}\mathbf{C}\right]^{-1}\cdot[\mathbf{z}-\mathbf{a}]\right\}}}
>> +% \end{equation*}
>> +% when the covariance matrix $\mathbf{C}$ and the 
>> ($n_{\text{stages}}$) numbers 
>> $1=\gamma_1\leqslant\gamma_2\leqslant\ldots\leqslant\gamma_{n_{\text{stages}}}$ are given.
>> +%
>> +
>> +Recalling that a sample is defined as:
>> +\begin{equation*} % tirei o gamma_i de ser umbutido na covariance 
>> matrix
> 
> "I took the gamma_i to be embedded in covariance matrix".
> 
> ---
> Reply to this email directly or view it on GitHub:
> https://github.com/libqueso/queso/pull/179/files#r7681049

-- 
Kemelli C. Estacio-Hiroms
Postdoctoral Researcher
Predictive Engineering and Computational Sciences - PECOS
Institute for Computational Engineering and Sciences - ICES
The University of Texas at Austin
(512) 299-8403
kemelli@ices.utexas.edu