Sentence examples for generating matrix from inspiring English sources

Hence, the generating matrix G ′ of (gleft (x^{frac {2}{3}}right)) will contain the generating matrix G of g(x 2) such that (G^{prime }={oplus _{1}^{3}}G).

The infinitesimal generating matrix of the corresponding continuous-time Markov process is given by B c =(1/τf)(P c −I N+1 ), where I N+1 is an identity matrix.

As shown in Figure 3, an individual video flow within the mobile hotspot is modelled by a continuous-time Markov-modulated process, whose infinitesimal generating matrix M can be obtained from video traces according to a sigmoid classification function.

The resulting K × K matrix of transition probabilities, denoted by P, can be translated into a corresponding infinitesimal generating matrix in a continuous-time domain, denoted by M, as follows M = g ( P - I ) (5).

Also, we obtain the cyclic groups from the multiplicative orders of the generating matrix of the 2k-step Jordan-Fibonacci sequence when read modulo m, and we give the relationships among the orders of the cyclic groups obtained and the periods of the 2k-step Jordan-Fibonacci sequence modulo m.

The resulting M ×M matrix of state transition probabilities (denoted by P a ) can be translated into a corresponding infinitesimal generating matrix in the continuous-time domain, given by B a =(1/τa)(P a −I M ), where I M is an identity matrix.

In the present paper, we consider a new model which uses two alternating generating matrices.

Both approaches are based on the reduced basis method and low-rank factorizations of the generating matrices.

In matrix terms, Lie-algebraic solvability is equivalent to the simultaneous triangularization of the generating matrices by means of a single similarity transformation.

However, in literature, due to mathematical difficulties, the generating matrices are either assumed to be homogeneous or asymptotically homogeneous (see Bai and Hu, 1999).

We can regard T ⋅ G as the generate matrix a new code Ω'.