To assess acoustic structure among groups, we performed hierarchical cluster analyses based on a presence/absence matrix of syllable types for each of 64 individuals, where each entry consists of 0 or 1.
A VICINITY entry consists of at least three BOND entries and at least four ATOM entries.
where is constant matrix, is an matrix,, consisting of matrices,, having entries in, is a small parameter, delays are measurable on,,,,, with the initial and boundary conditions (4.14).
where is constant matrix, is an matrix,, consisting of matrices, , having entries in, is a small parameter, delays are measurable on,,,,,, and satisfying the initial and boundary conditions (4.2). where, is a given vector function with components in, and is a linear vector functional.
Therefore, each matrix entry lists two payoffs, one for each player.
We compared Isolated and Open system matrix entries by examining proportional changes in each matrix entry (Isolated/Open −1).
Multiply the middle matrix entry by the lower-right entry.
For p genes, the resulting p × p matrix G consists of entries G i, j that represent the correlation between expression vectors g i and g j, conditioned on the expression of all other genes' expression: G i j =corr (g i, g j | g k, k ≠ i, j ).
The calculation of the 3D Wiener index for the hydrogen-suppressed geometric distance matrix (3DW) consists in summing the entries in the upper triangular submatrix of the topographic Euclidean distance matrix for a molecule (Basak et al., 1996).
Vice chancellor Malcolm Gillies says: "It's down to a matrix that consists of four areas: cost, demand, employability and affordability".
