In the proposed mental task classification scheme, instead of conventional AR parameters, reflection coefficients of EEG data are utilized, which offers some major advantages, such as noise robustness, variation of values within a certain boundary and ease of computing via recursive relations.
For the matrix function (M lambda)) in the form (45) to be the Weyl matrix of a certain boundary value problem L, it is necessary and sufficient that the determinant of system (46) differs from zero, and (varepsilon(x) in L 0, infty); mathbb{C}^{m times m})), where (varepsilon(x)) is defined in (47).
Theorem 2.4 is very interesting and powerful; however, when we want to look for solutions for a certain boundary value problem (BVP), the fact of working in a compact domain could be quite restrictive.
Theorem 11 For the sequences { λ n, α n } ( n ∈ Z ) to be the spectral data for a certain boundary value problem L ( Ω ( x ) ) of the form (1), (2) with Ω ( x ) ∈ L 2 ( 0, π ), it is necessary and sufficient that the relations (8) and (9) hold.
Then, by considering disturbance effects, a universally valid uncertainty relation is investigated for the generalized equation of motion with a certain boundary condition.
"A sense of lawlessness within certain boundaries of good taste and decorum: that's what Skinny understood better than anyone else in Atlantic City," writes Jonathan Van Meter.
Ryan Madden: I'm new to activism on the climate front, so I will say it's pushed certain boundaries of my physical and mental capacity and I'm not sure I'll know until I have a chance to digest after these hectic two weeks.
In addition, certain boundaries of freeze-drying parameters of shelf temperature and residual moisture were identified that cannot be exceeded to ensure the S antigen preservation.
In this paper, three new algorithms (called boundary point algorithms due to using certain boundary points of C at each iterative step) for finding the minimum norm fixed point of T are proposed and strong convergence theorems are proved under some assumptions.
Using some recent results of the Riesz decomposition method for sharp estimates of certain boundary value problems of harmonic functions in (St. Cer. Mat. 27 323-328, 1975), the boundary behaviors of upper and lower superharmonic multifunctions are studied.
