Benedict Irwin edited Introduction.tex  almost 10 years ago

Commit id: 32a2c1111ebbc390c88f73b3938fb72111f70721

deletions | additions      

       

N=\sum_{k}^{q} a_k2^k  \end{equation}  with the, $a_k \in {0,1}$. Then performing a map of the coefficients to some row  vector $V \in \mathbb{R^q}$ will produce a construct of the form \begin{equation} N \to V:=  \begin{bmatrix}  a_1,a_2,\cdots,a_q  \end{bmatrix}  \end{equation}  Thus, a column vector consisting of elements $N_i \in {1,2,..r}$ will map to a matrix of the form \begin{equation}  \begin{bmatrix}  a_11 & a_12 & ... & a_1q \\  a_21 & a_22 & ... & a_2q \\  & & & \\  a_r1 & a_r2 & ... & a_rq \\  \end{bmatrix}  \end{equation}