In fact, for Borel sets in higher finite dimensions the definitions below extend ones to higher dimensional rectangles. Theorem 1.5. An N-dimensional distribution function F := ℝN → ℝ is a function F = F(x) := F(x1, x2, …, xN) with the following properties: 1. for any a,...
The Cauchy transform of a measure in the plane, is a useful tool for numerical studies of the measure, since the measure of any reasonable setmay beobtaine... John-Peter,Lund,Robert,... - 《Experimental Mathematics》 被引量: 49发表: 1998年 Dimensions of compact invariant sets of some ex...
Field Theories in Lower DimensionsLattice Integrable ModelsNonperturbative EffectsIn this work, we propose a quantum-mechanically measurable basis for the computation of spread complexity. Current literature focuses on computing different powers of the Hamiltonian to construct a basis for the Krylov state ...
ΔAi and ΔBi are the uncertainty matrices with appropriate dimensions, corresponding to the ith subsystem. Assumption The parameter uncertainties considered here are norm-bounded, in the form: ΔZi=MizFizNiz, where Z∈{A,B,C,D}, Miz and Niz are known real constant matrices of appropriate ...
Simultaneous contrast effects have been found across a wide range of visual dimensions. We describe a simultaneous contrast effect - three-dimensional curvature contrast - in which the apparent curvature of a surface defined by shading a... W Curran,A Johnston 被引量: 33发表: 1996年 Familiarizati...
Moreover, it is also proved that the asymptotic order of the eigenvalues of the corresponding Laplacian is given by the Hausdorff and box-counting dimensions of the space.doi:10.1007/s11118-011-9221-5Naotaka KajinoSpringer NetherlandsPotential Analysis...
Several conceptual models of the QOL construct exist in the field of ID [18,19,20], although all of them highlight four basic principles in their definition [16]: (a) QOL is composed of several dimensions (i.e., multidimensional) that are the same for all people (i.e., universality)...
However, the more specific transformation of a neoplastic cell to a stem-like state is a plasticity event that may reveal the true driver in specific contexts [35,44]. Lineage plasticity is associated with the stem-like behavior of neoplastic cells. While stem cells can give rise to different...
The Behavior Real Model, BRM, developed could become a powerful tool for the design and manufacturing of a piezoelectric harvester based on its customized dimensions, configuration, and the piezoelectric properties of the smart materials. Keywords: energy harvesting; PZT; modeling; algorithm; harvester...
2018, 23, 51 2 of 24 certain dimensions. Hence, it is natural that the candidate solution set (i.e., the set computed by a given solver) is not restricted to finitely many points, but may also form a continuous set. This is in fact already the case for set-based optimization ...