A list of complex numbers Λ is realizable by a matrix A if Λ is the spectrum of A. An n × n nonnegative matrix A = (a mk ) = is a row stochastic matrix if, m = 1,..., n.
Meanwhile, Fang [12] disproved the second assertion made in Theorem 4 of [8], which says that Λ is SS realizable by a positive matrix A if (1>lambda_{2}), together with (3.1) and (3.3).
We examine an idealized model composed of infinite line dipoles and carry out computational simulations on a realizable device using a magnetic boundary element method.
A generator matrix G(D) of a convolutional code C n,k,ν) is a full-rank k × n polynomial (in D) matrix that encodes/generates C, i.e., is realizable by a linear sequential circuit (called an encoder for C [13].
It does not need to build and store a 20-dimensional PSSM for each alignment column in the computer memory, a task not realizable on an ordinary personal computer when we need to compare orthologous groups of different taxons.
In the case when p1,..., p m are all equal to 2, Λ becomes a list of 2m + 1 real numbers for any positive integer m, and our result gives sufficient conditions for a list of 2m + 1 real numbers to be realizable by a row stochastic matrix.
A key result is that a surprisingly small set of functional components that are molecularly realizable in a multitude of ways can, by means of self-organization, reliably create the treadmilling cell machinery with the aforementioned characteristics.
The advantage of a Kalman filter is that it does not act as a pure filter, but also signal separation and fusion are realizable in a single implementation.
In system design the exact model matching problem with stability consists of compensating a given system, using a realizable control law of a specified structure, in order to ensure the stability of the compensated system and achieve a target closed-loop transfer function.
