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Finite time convergence of the system with disturbances is proven based on the homogeneity principles.
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Strictly, the Homogeneity Principle only applies to the first category of qualities (Rozemond 2009, 180).
The Homogeneity Principle says that "a power can really inhere in a composite only if it is of the same kind as the powers of the parts" (Vailati 1993, 395).
Uzgalis finds versions of the Homogeneity Principle in Cudworth and Bayle, and in all three cases it is used to argue that thought or consciousness cannot arise from motion or figure because they are not of the same kind.
The results obtained have confirmed the viability of the principles of homogeneity and superposition, thus allowing the classification of this epoxy as linear viscoelastic.
Although not explicitly expressed as symmetry principles, the homogeneity and isotropy of physical space, and the uniformity of time (forming together with the invariance under Galilean boosts "the older principles of invariance" — see Wigner 1967,[6] pp. 4 5), have been assumed as prerequisites in the physical description of the world since the beginning of modern science.
Then it segues to the cosmological principle ("the assumed homogeneity of the cosmos") and that principle's implications for how a multiverse (a plural for "universe") might be configured.
Viète retained the classical principle of homogeneity, according to which terms added together must all be of the same dimension.
More significant conceptually, he set aside Viète's principle of homogeneity, showing by means of a simple construction how to represent multiplication and division of lines by lines; thus, all magnitudes (lines, areas, and volumes) could be represented independently of their dimension in the same way.
If we thus construe Millean causal reasoning as deductive reasoning, all the inferential risks are shifted from the induction rules into the premises such as causal homogeneity, determinism and the principle of universal causality.
The total of 106 MS-regions (spatial mobility regions; MS = mobilité spatiale) are characterized by a certain spatial homogeneity and reflect the principle of small partially cross-cantonal labor market areas with funcross-cantonal labortowards centers (Schuler and Joye 2000; Schuler et al. 2005; BFS 2011).
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