where g ij = [G] i, j and d i, the i th entry of d, is the output of dirty-paper coding for user i treating the term as the ∑j < ig ij d j noncausally known interference signal.
where e i and e′ i are the i th entry of the original and the new hash value, respectively, and function t converts the entries to their equivalent decimal value.
The complex number a i,j indicates the (i,j th entry of the matrix A; a i indicates the ith entry of the vector a.
where x i denotes the i th entry of the vector x.
where x ZP, i ″ is the i th entry of vector X ZP ″.
where are the eigenvalues of the covariance matrix, and w i, p is the i th entry of the eigenvector w p of corresponding to.
R ∈ C M × K is an upper triangle matrix with r i, j denoting the (i, j th entry of the matrix R. Q † is regarded as an equalizer to the received signal by the BS.
Here d i j denotes the degree of the i, j entry of the matrix X (q ).
Notations: Bold-faced letters indicate vectors and matrices, e.g., A. The (i,j th entry of a matrix is represented by [A] i,j.
The (i,j) entry of the matrix exponential T t) = exp(Qt) defines the probability of replacing residue i with residue j in time t≥0.
We denote the i-th entry of D v) by D v) i such that, for example, D v) i = + means that gene v is overexpressed in cancer sample i.
