Sentence examples for by linear algebra from inspiring English sources

The result for the disk is rather well-known, and is usually obtained from the classical Carleson Corona Theorem by linear algebra.

Expression summarizations for transcripts were calculated from exon expression by linear algebra based on transcript records in external databases.

Since =, we obtain, for i = 1, 2. The matrix R can be thus written as Denoting by and the matrices which represent and in the bases and, respectively, we have, by linear algebra Since [ cf. equation (2)], we obtain for all and.

The global cost of this basic approach is heavily dominated by the linear algebra part in with a particularly large degree in.

They are easy to implement as they can be solved efficiently by standard linear algebra components and outperform the traditional clustering algorithms such as the k-means algorithm.

In the case where the local optimum for P L = 0, it can be easily shown by simple linear algebra that the gradients corresponding to these two (P L = 0 and the average power constraint) active inequality constraints satisfy the linear independence condition.

Given a set of time equidistantly expression data, the weights w ji can be solved by using linear algebra when the number of data points is more than the number of variables.

The resulting problems are formulated as systems of linear equations which can be solved by standard numerical linear algebra packages.

Overall, we show that the overhead of modular reductions is more than compensated by the fast linear algebra algorithms and that exact dense linear algebra matches the performance of full rank reference numerical software even in the presence of rank deficiencies.

By combining sophisticated linear algebra and optimization techniques, we produced a fast and scalable software.

Briefly, the tissue-specific gene is detected by solving a linear algebra problem of scalar projection in this study.