The experimental results show that, compared with normal homogeneous PNA (N-PNA) microspheres, the nano-gel containing PNA (C-PNA) microspheres exhibit remarkably fast response rate due to the hierarchical phase-transition mechanism attributed to different VPTT values of the embedded nano-gels and the microsphere matrixes.
The distances become the coordinate values of the embedded vector, i.e. for each sequence s in X, let F s) be the corresponding embedded vector, such that F s) = [ d s, R1), d s, R2)... d s, R t )].
According to the experimental results, the value of the embedding capacity has been assigned to 34.14 bps in all experiments.
In particular, a concrete value of the embedding constant is indispensable for verified numerical computation and computer-assisted proof for PDEs; see, e.g., [9 11, 13].
This paper is concerned with an explicit value of the embedding constant from (W^{1,q}(Omega)) to (L^{p}(Omega)) for a domain (Omegasubsetmathbb{R}^{N}) ((Ninmathbb{N})), where (1leq qleq pleqinfty).
To estimate a concrete value of the embedding constant defined by (1), we construct a linear and bounded operator E from (W^{1,q}(Omega)) to (W^{1,q}(mathbb{R}^{n})) such that ((Eu)(x)=u(x)) for all (xinOmega), which is called an extension operator from (W^{1,q}(Omega)) to (W^{1,q}(mathbb{R}^{n})).
According to a report by the United Nations University, the combined estimated value of the resources embedded in that waste was A$69bn US$52bnn).
Monte Carlo simulations involving the random selections of a point in the predefined 3-D box were then carried out to calculate the V mol value of the molecule embedded in the box.
In practice, it is difficult to get the exact estimation value of the minimum embedding dimension through G-P algorithm.
