Sentence examples for to construct a basis from inspiring English sources

We present a general framework to construct a basis and explore potential applications in isogeometric analysis.

The POD method is then applied to each of these matrices to construct a basis for projection.

Certainly, it is of great significance for us to seek to construct a basis or a redundant dictionary for unvoiced speech signals, which is the focus of our future work.

Not only does the theorem exhibit suitable basis functions as sufficient for approximation purposes, but together with the Gram-Schmidt process, it enables one to construct a basis of orthogonal vectors.

The major objectives of this study were as follows: (i) to accumulate gene resources for screening valuable genes and providing a substantial informational basis for post-genomic analyses; (ii) to construct a basis of gene finding in whole-genome analyses; and (iii) to collect frequency information of each EST for comparison of expression profiles among culture conditions.

(5) By using Gram-Schmidt algorithm, we obtain orthonormal Bernoulli polynomials to construct a new basis, this new basis is introduced by (OB_{n}(x)).

The fundamental method to construct a wavelet basis comes from the concept of multiresolution analysis (MRA [13]).

The aim of such a technique is to construct a reduced basis approximation of the solution of the SSP problems.

Then, gallery images are split into suitable regions to construct an initial basis set.

The following theorem provides the condition to construct an orthogonal basis of each space (V_{j}^{M}) by dilating, translating, and chirping the scaling function ϕ(t)∈V0.

In fact, a random partial Fourier matrix relates the time domain signal and the sparse spectrum items; also, it is the first time to construct an orthonormal basis in CN × N rather than RN × N. It has been proved that the Fourier matrix satisfied the restricted isometry property (RIP) and can be applied to CS reconstruction.