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If we take our assumption of scale mixture of Gaussians modelling and our theoretical radar scattering as a vector sum with uniformly random phase, then three main properties emerge: zero-mean, semisymmetric shape, and global shape.
Koenderink and Doorn (1992) showed that Gaussian derivative operators are natural operators to derive from a scale-space representation, given the assumption of scale invariance.
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This paper presents a novel empirical formula for evaluating the axial magnetic attenuation of a circularly cylindrical shield with partial openings at both ends, which is derived under the assumption of scaling law with help of the 3-D magnetostatic code TOSCA for computing the magnetic attenuation of some canonical models.
These occurrences are used to verify the assumption of scale-invariance of SNPL occurrence patterns over time with the box-counting.
The assumption of scale-free topology can be tested by plotting p(c) and by plotting log(p(c)) versus log(c).
For the original scales not meeting the assumption of unidimensionality, scale reliability was mainly assessed by using McDonalds ωH and ωT [78], [83].
Classical continuum theories are formulated based on the assumption of large scale separation.
In this paper we release the deterministic assumption of the scale parameter since in reality the estimation of this parameter accompanies with uncertainty.
APXS measurements of the light elements (sodium, magnesium and aluminum) in powdered rock standards showed systematic deviations arising from the rock's violation of the assumption of atomic scale sample homogeneity.
In recent years, the EV integration and vehicle-to-grid (V2G) technologies have been researched with the assumption of large scale deployment of EVs in [10, 14, 15, 16, 17, 18, 19, 20, 21].
The assumption of zero scale length of the shock transition layer is made due to its simplicity, but it may be violated when a shock precursor with a cosmic ray scattering length scale is generated in front of the shock Drury and Voelk (1981).
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