Sentence examples for by computing a truncated from inspiring English sources
By computing a truncated HOSVD of φ ( Z ), a real-valued subspace estimate is obtained as E ̂ s ( R + 1 ) T ∈ R M × d, where E ̂ s has the following form [10] E ̂ s = S ̂ Z s × 1 Ê 1 s × 2 Ê 2 s … × R Ê R s × R + 1 Σ ̂ s ′ − 1. (17).
As shown in [10], based on (3), we can define a tensor-based subspace estimate by computing a truncated Higher-Order SVD HOSVDD) [9], X ≈ S ̂ s × 1 Û 1 s × 2 Û 2 s … × R + 1 Û R + 1 s, (4).
For an n-digit multiplication algorithm of time complexity O(nα), with 1<α≤2, there is a truncated multiplication algorithm, which is constant times faster when computing a short enough truncated product.
This can be done exactly using thepositive P function, or numerically by computing the quantum steady state densityoperator in a truncated number basis and then constructing a phase space quasiprobability density (e.g. a Q function) in different regions of the semi-classical'phase diagram' of Figure 3.
The proposed technique is also well suited to computing efficiently the machine response to unbalance by using a truncated modal decomposition.
We have computed a lower bound on the achievable rate by using a truncation-based auxiliary channel law where we have used for τT=0.5, 0.4, and 0.3 a truncated system impulse response of length (L+1)=3, 5, and 6, respectively.
The modeling framework is based on observations of the proper orthogonal modes computed from nonlinear forced responses and their approximation by a truncated set of linear normal modes with special boundary conditions.
A young man walked by with a truncated mannequin wearing a gold lamé swimsuit.
It was estimated by a truncated power basis spline (Heuer 1997), defined by m knots.
The ARTP method is a generalization of the FM where only the best H gene statistics within each pathway are considered for computing the rank truncated product given by 5with the gene statistics ranked from the smallest to the largest.
