Sentence examples for of increasing dimension from inspiring English sources

The new formulations are derived by considering generalized inverses with nullspaces of increasing dimension.

In turn, we have benchmarked 4 NVIDIA GPUs and 3 quad-core Intel CPUs for a 2-particle system over lattices of increasing dimension, showing that the speedup provided by GPU computing, with respect to the OPENMP parallelization, lies in the range between 8x and (more than) 20x, depending on the frequency of post-processing.

t f is chosen when estimation quality, as measured by standard deviation, σ e 2, reaches a level considered sufficient/satisfying (Figure 8). Figure 8 Decreasing evolution of the standard deviation (blue line) calculated on windows of increasing dimension in the logarithmic time.

The first subset (Models 6 8) involves an FA structure for of increasing dimension, and the model with maximum likelihood is taken from this subset.

These PDEs evolve on domains Tn of increasing dimensions n+1 and with a domain shape in the form of a "hyper-pyramid", 0≤ξn≤ξn−1⋯≤ξ1≤x≤1.

The HDMR expansion is a set of quantitative model assessment and analysis tools for capturing high-dimensional input output system behavior based on a hierarchy of functions of increasing dimensions.

These PDEs evolve on domains Tn of increasing dimensions n +1 and with a domain shape in the form of a "hyper-pyramid," 0 ≤ ζn ≤ ζn 1... ≤ ζ1 ≤ x ≤ 1.

In this test, we focus on the comparison of algorithm precision with increasing dimension of the instance.

In the last decade, the importance of radar has grown progressively with the increasing dimension of the system: from a single colocated antenna to large sensor networks [1, 2].

Additionally, the complexity of SDs increases exponentially with increasing dimension.

Hannah Rosenthal, who was appointed as the State Department's Special Envoy to Monitor and Combat Anti-Semitism in December, is not only superbly qualified to spearhead the US Government's efforts to mobilize international opposition to a centuries-old scourge that has once again become a clear and present danger of ever increasing dimensions.