Sentence examples for transform the associated from inspiring English sources

By using Fourier integral transform, the associated boundary value problem is reduced to a singular integral equation with generalized Cauchy kernel, the solution of which is given in closed form.

The first approach consists of transforming the associates' character matrix into a character matrix of the hosts and then inferring a distance matrix from these characters.

The linear viscoelastic problem can be transformed into the associated elastic one via the Carson-Laplace transform (C-LT).

For the proposed ROP transform, Bouguezel et al. also gave the method on how to construct the transform matrix associated with the ROP transform.

Virtual frontal image obtained by the projective transform T associated to the solution of Pfrontal = TPlateral from Figures 6 and 7. We present two sets of experiments: one on lipreading studying the adaptation of the visual stream to multi-pose conditions and another on AV-ASR analyzing the effects of the pose normalization on the audio-visual integration strategy.

They propose a method based on the minimization of a coherence measure of the submatrix of the unitary discrete Fourier transform matrix associated with the pilot subcarriers and propose strategies for carrier placement based on cyclic difference sets.

By retaining locational information, only the wavelet transform and associated position variance detected the abrupt edge in the simulated data series.

Let L = − Δ + V be a Schrödinger operator, where Δ is the Laplacian on R n and the nonnegative potential V belongs to the reverse Hölder class B q for q ≥ n / 2. The Riesz transform associated with the operator L is denoted by T = ∇ ( − Δ + V ) − 1 2 and the dual Riesz transform is denoted by T ∗ = ( − Δ + V ) − 1 2 ∇.

Moreover, we prove that T b m is bounded from the Hardy space H L 1 ( R d ) into the space L weak 1 ( R d ) when T is the Riesz transform associated to the Schrödinger operator.

Q is the martingale transform associated to the sequence ( v k ) : ( Q f ) n = ∑ k = 1 n v k d f k = ( d f 1, d f 2, …, d f n, 0, … ).

Here, ({mathcal T}_{i}) is the blurring transform associated with the Gaussian PSF k G and Λ i. Table 4 shows the same data as Table 3 for diagonally-down-sampled blocks for the diagonal deblurring.