aValues are Mean ± SD n.s.: non-significant aValues are Mean ± SD n.s.: non-significant In this study, we have shown that at low MI harmonic real-time imaging, the new self-made contrast agent exhibited strong stability in the enhancement of hepatic parenchyma among different fibrotic stages of rabbit liver.
Coifman et al. [10] applied the boundedness to some non-linear PDEs, which perfectly illustrate the intrinsic links between the theory of compensated compactness and the classical tools of harmonic and real analysis.
The moment Lyapunov exponents and the Lyapunov exponents of a two-dimensional system under combined excitations of harmonic and real noise, which is modelled as an Ornstein Uhlenbeck process, are studied.
In Schubert's quintet the particular diminished seventh chord used would normally resolve to a chord on G. Instead it simply subsides back to the C major triad of the preceding bars, so that there occurs no real harmonic movement in the opening six bars.
In abstract harmonic analysis, the real line in classical Fourier analysis is replaced by an LCA group.
Considering the spillover and harmonic effect in real active vibration control, a novel composite controller based on disturbance observer (DOB) for the all-clamped panel is presented.
This could be caused by the harmonic complexity of real acoustic instruments and, from our observation, the faster decay rate of acoustic sound as compared to the synthesised sound (especially at the high pitch range).
Theorem 1 also yields that the harmonic polynomial with real coefficients and with the maximal ((n^2)) number of roots should have at least n roots on the coordinate axes as in the above example.
In this study, a novel PLL, based on average filter algorithm (APLL), is proposed to extract the amplitude, phase and ±sequences of selected harmonic for the real time applications.
The latter, in particular quaternionic analysis, is the theory of so-called monogenic functions and a refinement of real harmonic analysis in the sense that the principal operator in Clifford analysis, the Dirac or generalized Cauchy-Riemann operator, factorizes the higher Laplace operator.
Because of the anti-symmetry relation (39), the complex spherical harmonics defined above are redundant: there are only 2 n + 1 independent (real) harmonics per order, in agreement with the counting in Section A.1.
