The main classes of PEBBLE nano-sensors are based on matrices of cross-linked polyacrylamide, cross-linked decyl methacrylate, and sol-gel silica.
In the regional regression models, the matrices of cross-terms and second order terms were deflated with respect to the variation described by the first order terms (in an OLS regression) in order to better separate the effects of nonlinear terms and first order terms.
The first approach gives a model of correlated sources for the acoustic field generated from the flow expressed in a matrix of cross- and auto-power spectral values, whereas the second approach results in a model of uncorrelated sources expressed in a vector of auto-power spectral values.
Amberlite IRA 67 is based on a matrix of cross linked acrylic gel which is more hydrophilic than styrenic resins and their selectivity to most of organic acids is higher due to their matrix (Arup 1995).
The kernel does not need to be strictly a matrix of cross-products between the input vectors.
This procedure applied to the panels in Fig. (23) yields the following symmetric matrix of cross-correlation values between the images mathcal{C}_{i,j} = left ( begin{matrix} 1 & 0.839495 & 0.809205 & 0.856958 - & 1 & 0.867578 & 0.917560 - & - & 1 & 0.948544 - & - & - & 1 end{matrix} right ). (110) A visual representation of the pixel-by-pixel differences is given in Figure 24.
and R is the K Q×K Q matrix of cross-correlation whose (i∘j,m∘n th element is the cross-correlation between the i th spreading code of the j th user and the m th spreading code of the n th user.
The inner layer is made of a complex matrix of cross-linked fibers that acts as a scaffold for regeneration of dermal skin cells.
SB consists of crystalline cellulose nanofibrils embedded in an amorphous matrix of cross-linked lignin and hemicelluloses that impairs enzyme and microbial accessibility [ 5].
SB is consisted of crystalline cellulose nanofibrils embedded in an amorphous matrix of cross-linked lignin and hemicelluloses that impair enzyme and microbial accessibility [ 10].
A matrix of cross-correlation between each time-series was then constructed by pairwise Pearson cross-correlation of the pre-processed data, resulting in an 8 × 8 matrix (e.g. left PMC-left PMC, left PMC-left SMA, etc).
