Sentence examples for matrix defined on from inspiring English sources

Let (xin R^{n}) and (Q t)) be a (ntimes n) continuously matrix defined on R.

Assume that there exists a matrix defined on and satisfying (3.2). where.

Theorem 6.5 Let us assume that A = ( a n k ) is an infinite matrix defined on the complex field.

Let y ∈ C ( T, R n ) and P ( t ) be a n × n continuous matrix defined on  T.

We also develop a fast isomorphism check that uses a cyclic matrix defined on the design before it is folded over.

The direct sum of operators (x_{1}, x_{2},ldots, x_{n}in overline{mathcal {M}}), denoted by (bigoplus_{i=1}^{n}x_{i}), is the block-diagonal operator matrix defined on (mathcal{H}^{n}) by.

Assume p0 is a vector of initial scores for each node, p k is the score vector at step k and was iteratively updated by (2) p k + 1 = (1 − γ ) M T p k + γ p 0, where γ is the probability that the random walker restarts from the seeds at each step, and M is the transition matrix defined based on the adjacency matrix in (1).

NCut is equivalent to searching for low conductance sets by the transition matrix defined directly based on the given single network.

This method of control is an alternative to, e.g., introduced in [15], in which a derived open-loop control is based on controllability Gramian matrix, defined in [16] that seems to be much more complex to calculate than in our approach.

We identified MolO cells based on a weighting matrix defined by repopulation probabilities and the 2D t-SNE representation of the data.

Suppose Ψ∈CN × N (in fact, the matrix was defined on RN × N originally and could be expanded to the complex matrix) is the orthogonal basis matrix and s∈R N is the coefficients vector, the signal x∈R N can be expressed by x = Ψ s (19).