The phrase "all dimension" is not correct in standard written English.
It may be intended to refer to "all dimensions," which can be used when discussing various aspects or measurements of an object or concept.
Example: "The artist aimed to explore all dimensions of human experience in her work."
Alternatives: "every aspect" or "all facets".
Our methods allows us extend the result to all dimension n⩾3.
They are so-called ASH-algebras and include all unital simple AH-algebras and all dimension drop C∗-algebras.
By designing a sequential detection scheme starting from the most squared unfolded matrix, the identifiable rank is increased to the square root of the product of all dimension lengths, which renders the detection algorithm to estimate the rank that can exceed any individual dimension length.
All dimension values are normalized before the fluctuations were measured (means = 0, standard deviations = 1).
Let (mathbb{C}) ((mathbb{R})) be the set of all complex (real) numbers, (mathbb{R}_) ((mathbb{R}_)) be the set of all nonnegative (positive) numbers, (mathbb{C}^{n}) ((mathbb{R}^{n})) be the set of all dimension n complex (real) vectors, and (mathbb {R}_^{n}) ((mathbb{R}_^{n})) be the set of all dimension n nonnegative (positive) vectors.
A metal nanodisc not only allows the coexistence of plasmonic resonances at all dimension levels, i.e., the volume, surface, and edge plasmonics [6, 7] but also possesses various types of surface plasmonic modes with well-defined two dimensional symmetries [8 10], in particular the interesting case of the plasmonic breathing modes [6, 7, 10].
To improve the performance of PSO on complex problems, an all-dimension-neighborhood-based PSO with randomly selected neighbors learning strategy (ADN-RSN-PSO) is proposed in this study.
The randomly selected neighbors (RSN) learning strategy is adopted in the early stage of PSO to enhance the swarm diversity, while the all-dimension neighborhood (ADN) strategy is utilized in the later stage to accelerate the convergence rate.
In this work, we use density-functional theory (DFT) calculations to, systematically study the all-dimension relaxed atomic models of Mg crystal slip, with a special focus on the "subslip modes" in prismatic and pyramidal slip systems.
All-dimension selection, where the dimensions are assumed to be fully dependent on each other.
On the dependency of feature dimension, we defined several channel selection, as follows: All-dimension selection, where the dimensions are assumed to be fully dependent on each other.
