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We say that A is a conservative matrix if it transforms a convergent sequence into a convergent one.
A matrix A is said to be an orthogonal projection matrix if it is idempotent ((A^{2}=A)) and symmetric ((A^{T}=A)).
Given a family of paths φ, a matrix function A φ is called Roe matrix if it satisfies Open image in new window we have N=2 real eigenvalues Open image in new window ∀ u l,u r ∈ Ω, Open image in new window (32).
A matrix (C= [c_{ij} ] in M_{n,n} (mathbb{C} )) is called a r-circulant matrix if it is of the form c_{ij}=left { textstylebegin{array}l@{quad}l} c_{j-i},&j geq i, rc_{n+j-i},&j< i. end{array}displaystyle right.
A four-dimensional matrix (A=(a_{mnkl})) is said to be almost (mathcal {C}_{vartheta} -conservative matrix if it transforms every ϑ-convergent double sequence (x=(x_{C}_{vartheta} -conservativegent double sequence space, that is, (A=(a_{matrixif(mathcal {C}_{vartheta}:mathcal{C}_{f})).
A random matrix Y n × p is said to be a left stochastic ellipsoid matrix if it satisfies (see [1]) Y n × p = A n × n X n × p + μ n × p, Γ n × n X n × p = d X n × p, E X X ′ = I n, and its distribution, which is denoted by E n × p , is called a left ellipsoidal distribution, where Σ = A A ′ is reversible, and E is ellipsoid.
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A matrix A is called an H-matrix if its comparison matrix (langle Arangle) is an M-matrix, and an (H_ -matrix if it is an H_ -matrixnd ifs ditgonal entriss ane positive; see [19].
A matrix (M=[m_{ij}]inmathbb{R}^{ntimes n}) is called a weakly chained diagonally dominant (wcdd) B-matrix if it can be written in the form (M=B^+C) with (B^) a wcdd matrix whose diagonal entries are all positive.
A matrix A is an M-matrix if it can be written in the form of A = m I − P with P being nonnegative and m > ρ ( P ), where ρ ( P ) denotes the spectral radius of P. A matrix A is a H-matrix if μ ( A ) is a M-matrix.
For adopting a new orthographic system would mean that an operation like Taedong Inswaeso would need to purchase expensive new matrices if it could not produce them itself.
It is possible to test if a given substitution matrix is the pure mutational matrix or if it is "contaminated" with the effects of selection.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com