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This paper reviews the concept of the alias matrix, and defines the alias plot that can be obtained from the alias matrix.
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.
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Assuming Φas an orthonormal measurement matrix and defining (bar {boldsymbol {Phi }}) as a row-wise permutation of Φ.
Defining to be the precoding matrix, and defining to be the power allocated to the th user, the power transmitted by the th AP is (11).
This was helpful in depicting the phase distribution in the matrix and defining the causes of the residual non-wetting phase saturation.
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 ).
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).
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.
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.
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.
Using suitable transformation matrices and defining a new parameter called acceleration parameter, the vertical contact forces are reformulated.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com