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We show how the structure of the matrix for any dimension is based on the one-dimensional spatial design matrix, and we compute explicit eigenvalues and eigenvectors for all dimensions.
Much of the boundary control of wave equations in one dimension is based on a single principle passivity under the assumption that control is applied through Neumann actuation on one boundary and the other boundary satisfies a homogeneous Dirichlet boundary condition.
The fourth dimension is a projection of myself.…The other three dimensions are based on the vision of both eyes…the fourth dimension is based on the essential nature of vision, which is creative.
The human dimension is based on people, education, learning, and knowledge; concepts related to it include learning city (Larsen 1999; McFarlane 2011) and knowledge city (Ergazakis et al. 2004).
Each dimension is based on two to four indicators, as specified in the results section.
The topolocal dimension is based on the connectedness among points in a set.
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Results for each dimension are based on all cases with agreement in the preceding dimension.
The significant difference of the bodily pain dimension was based on a higher mean 6-month score compared with the general population (Table 3 and Figure 3).
The significant difference of the bodily pain dimension was based on a higher mean 6-month score compared with pre-admission (Table 4).
The significant difference of the bodily pain dimension was based on a higher mean pre-admission score compared with the general population.
The choice for embedding dimension was based on global False Nearest Neighbor analysis (Kennel, Brown, & Abarbanel, 1992), which reveals how much information would be gained by adding additional surrogate dimensions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com