Sentence examples for spatial metric from inspiring English sources

These coordinates are determined up to a Euclidean transformation by a fundamental element of the theory, the spatial metric, and are hence linked to the metrical structure postulated by the theory.

The indices are raised and lowered by using the spatial metric (g_{ij}).

In this study a program based on the PLADJ spatial metric was undertaken to produce urban growth maps.

The corresponding relationship in classical mechanics is described by a small number of constants; for example, \(g_{\alpha \beta}(x^{\alpha}) = \delta_{\alpha \beta}\) for the spatial metric.

The key link between our general formulation and a specific implementation is how the spatial metric relates to the speed of disturbance in a given medium, whether it is electromagnetic, acoustic, or diffusive.

But there is another answer, which is to treat distance as a derived relation, defined thus: the distance between points A and B is the length of the shortest continuous path through space that connects them (where the spatial metric integration over which yields length along a path can be treated as a primitive feature of the space).

The thicket condition in botanical reserve 1 had fluctuated, whereas it remained constant in reserves 2 and 3. Landscape spatial-metric analyses revealed evidence of increased vegetation fragmentation, as new areas of the AENP had been opened for elephant activity.

However, ways have to be found to get prior knowledge of this intra-pixel spatial heterogeneity metric without systematic concurrent high spatial resolution images.

The authors argue that there is no known relation between schedule length and network throughput; so to maximize network throughput, they introduce a spatial reuse metric.

In this study, two new distance metrics defined as the time taken by water flow to travel between two locations are developed, and replace the spatial distance metric or Euclidean distance that is currently used to interpolate topography.

Following this premise, the Moran's I spatial autocorrelation metric was proven to return values which differed significantly for areas characterised by dense interlocking thickets of the coral Acropora cervicornis versus areas populated by a sparse mixed coral assemblage dominated by Montastrea annularis.