It is easy to decompose each sample in the subspace spanned by all independent components Each statistically independent component is a basis in the subspace, i.e., where the mixing matrix and In other words, each sample can be represented as where the meta-sample a i is the i th row of the mixing matrix recording the coordinate values of the sample x i in the subspace.
Thus, the model can be rewritten in a matrix formulation: (3) Z C D X, X = C D T C D − 1 C D T Z, where Z = (g k ); X = (x i ) and C is the marking matrix recording whether the DHS sites are within the transcriptional regulatory regions of differentially expressed genes or not.
We normalize the problem using the number of base-calls and solve the generalized eigenvalue problem where is a diagonal matrix that records the number of base-calls in each channel.
To solve this problem, we proposed a duplicate searching avoidance technique with a two-dimensional history flag matrix recording all the previous research points.
C1 Big Opening For New 'Matrix' On Thursday, "The Matrix Reloaded" recorded the biggest opening day in Hollywood history, sort of.
We performed 1000 randomizations for the model (i.e. the probability matrix), calculated the mean and 95%% confidence interval of each parameter and assessed if the observed value for each parameter in the interaction matrix recorded at Los Adernos fell within such confident interval.
There is the matrix E that records the expectations of server time, as shown in formula (9).
In addition, there is a matrix C that records the changing trends of networks that the device uses, as shown in formula (6).
For example, the sub-matrix (2, 4) records the frequency if the charge time is placed at the 1st importance layer and the purchase price is placed at the 2nd layer.
The value of a sub-matrix's element records the joint frequency in which thresholds ( mathop dnolimits_{{ 1.g_{ 1} }} ) and ( mathop dnolimits_{{ 2.g_{ 2} }} ) are both selected by the participants of the questionnaire based survey.
