Sentence examples for based on the embedding from inspiring English sources
Also, we see that (|y_{n}|_{L^{2} 0, T; L^{infty})}) is bounded based on the embedding theorem.
Our construction is based on the embedding of edit distance into Hamming distance designed in [10].
Relying on an asymmetric security model, Bringer et al. proposed a fuzzy search scheme based on the embedding of edit distance into Hamming distance [[19]].
Since the sequence { u n } n ∈ N converges weakly and { u n } is bounded in W ( 0, T ; V ), based on the embedding theorem, we can obtain that { u n } L 2 ( 0, T ; L ∞ ) is also bounded.
Here we consider that (v=1), and use a simple and smooth delay function for (r= x,y)) and (r'=(x',y')) with (r,r' in partial B_{R}) based on the embedding into (mathbb {R}^{2}) which is defined by Dbigl r,r'bigr) := tilde{D}bigl r,r'bigr) = biglvert r-r' bigrvert = sqrt{ bigl x-x' bigl x-x' + bigr(y-y'bigr)^{2}}, quad r,r' inpartial B_{R}.
Therefore, the new defined metric, based on the embedding of geodesic distance in a Euclidean space by MDS, is unavoidably sensitive to short-circuit noise.
For this purpose, molecular statics with an Fe C interatomic potential, based on the embedded atom method, has been employed.
Based on the embedded atom method we have studied dislocation bypassing of nanophases in a model for face-centered cubic (fcc) alloys.
First-principles electronic structure calculations using density functional theory were employed, semi-empirical angular dependent potentials were developed based on the embedded atom method, and these potentials were used as input into Monte-Carlo and molecular dynamics simulations.
The interaction of C atoms with a screw and an edge dislocation is modelled at an atomic scale using an empirical Fe C interatomic potential based on the embedded atom method and molecular statics simulations.
In order to support this vision, we have created a semantic type system for component interfaces that is based on the embedded ontology description language presented in [10].
