Sentence examples for matrix and define from inspiring English sources

Let B the K × N beamforming matrix and define H b ≐ B H and n b ≐ B n, then the received signal becomes y b = H b s + n b. (3).

Corollary 4.5 Let A = ( a n k ) be an infinite matrix and define the matrix C = ( c n k ) by c n k = ∑ j = 0 n ( n j ) ( 1 − r ) n − j r j a j k ( k, n ∈ N ).

In this work, we introduce two sequence spaces c 0 λ ( G m ) and c λ ( G m ) generated by the composition of m th order generalized difference matrix and lambda matrix and define an isomorphism between new sequence spaces and classical sequence spaces.

We use the term motif to mean a set of short DNA sequences represented by a position-specific weight matrix, and define a motif match as a particular DNA sequence in a genome that is statistically similar to a motif.

This paper reviews the concept of the alias matrix, and defines the alias plot that can be obtained from the alias matrix.

This was helpful in depicting the phase distribution in the matrix and defining the causes of the residual non-wetting phase saturation.

is matrix stack operator, is matrix transpose, is Hermitian operation, is complex conjugate, denotes the trace of a matrix, is Frobenius norm, ( is vector norm), denotes the Kronecker product, denotes identity matrix, and defines new symbols.

Since the MEF feeder cells and human ESC medium used for reprogramming likely contains small molecule-mitigating activities, it is possible to further improve episomal reprogramming by using matrix and defined culture media.

In this paper, we consider Kronecker and Hadamard convolution products for matrices and define the so-called Dirac identity matrix which behaves like a group identity element under the convolution matrix operation.

By scaling, it suffices to show that when X and W are density matrices, begin{aligned} R(X||W) ge tfrac{1}{2} left| X - Wright| _1^2 end{aligned} (3.21 Let X and W be density matrices and define (H = X W W).

By pre- and postmultiplying the left-hand side matrix in the above inequality by the matrix, respectively, and defining the matrix,,,, and, If we set then, and, and it can be concluded that the above matrix inequality is equivalent to (3.21).