Sentence examples for matrices to efficiently from inspiring English sources

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We show that finding such polynomials is equivalent to solving a large linear system of equations, and present a numerical method based on sparse matrices to efficiently solve this system.

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A multidisciplinary design optimization is implemented by using a hybrid evolutionary computation; data mining is carried out by using a scatter plot matrix to efficiently perceive the entire design space.

"The whole value of model organisms is that they are lean and mean," so once he has established his proofs of principle, ideally he will be able to use a matrix approach to efficiently tackle many rare diseases simultaneously.

A novelty of the method is the use of a force-directed algorithm from graph theory that requires no matrix inversion to efficiently update the grid while minimizing distortions.

Recently, it was found that stem cells have unique capabilities of self-renewal and multilineage differentiation to serve as a versatile cell source, while nanomaterials have lately emerged as promising candidates in producing scaffolds able to better mimic the nanostructure in natural extracellular matrix and to efficiently replace defective tissues.

While t< k, where k is the number of states, in the VARiD HMM k = 1600 and it is necessary to utilize sparse matrix operations to efficiently implement the forward backward algorithm.

We therefore use sparse-matrix techniques to efficiently store and perform computations with D, by only storing non-zero elements, and never performing any multiplication that involves an element of D known to be zero.

The primary objectives of the BIOM file format are presented in Additional file 2. In addition to consolidating data and metadata in a single, standard file format, the BIOM file format supports sparse and dense matrix representations to efficiently store these data on disk.

The integration of the bioaffinity of heparin with growth factors and the biomimicry of electrospun fibrous network to extracellular matrices is expected to efficiently bind and gradually release growth factors.

Cholesky decompositions for band matrices were used to efficiently draw random samples from the full conditional [ 22, 23].

Since the regularized matrix is a nonsingular symmetrical positive definite matrix, we can use a Choleski factorization, providing an upper triangular matrix satisfying the relation, to efficiently compute the least-squares solution (B4).

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