Obviously, no crystalline peak associated with orthorhombic sulfur is observed either in the ACA-500-S or in the ACA-500-S@PANi composite, which reveals that the sulfur incorporates the pores of carbon matrix and exists as an amorphous state.
However, JC-1 cannot aggregate in the depolarized mitochondrial matrix and exists as JC-1 monomers, which emit green fluorescence at 525 nm when excited at 485 nm.
: is a diagonal matrix, and there exists a positive diagonal matrix such that and (42).
In fact, if are positive definite Hermitian matrix and, there exists a unitary matrix such that (see [13]) (2.34).
The singular value decomposition of a real matrix always exists and is essentially unique.
The interface treated with aluminate coupling agent, although the boundary between transparent resin and cement matrix still exists, but the micro cracks caused by the sampling process is almost disappeared, and two substances are closely combined together to present a natural transition state.
Suppose and are and real matrices, respectively, there exists a matrix such that if and only if and.
In this case, we have, with such a matrix γ, that M = M k , whenever the matrix M k exists, and γ can be chosen so that γ γ ∗ = I. (iii) We have E k ( − J ) = − 2 δ i J, i.e., − J ∉ D k . .
The standards are prepared from epoxy resins without embedded tissue; as the main matrix material is the epoxy resin, no major difference in matrix composition exists between standards and samples.
Suppose that the nontrivial left (right) null space of a rational matrix W (q ) exists and has a minimal polynomial basis, f 1 (q ), …, f γ (q ), whose degrees are μ 1, …, μ γ with μ 1 ≥ ⋯ ≥ μ γ.
Definition 2 Suppose that the nontrivial left (right) null space of a rational matrix W (q ) exists and has a minimal polynomial basis, f 1 (q ), …, f γ (q ), whose degrees are μ 1, …, μ γ with μ 1 ≥ ⋯ ≥ μ γ.
