Cantor goes
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منابع مشابه
Asymptotic Differentiable Structure on Cantor Set
We study hyperbolic maps depending on a parameter ε. Each of them has an invariant Cantor set. As ε tends to zero, the map approaches the boundary of hyperbolicity. We analyze the asymptotics of scaling function of the invariant Cantor set as ε goes to zero. We show that there is a limiting scaling function of the limiting map and this scaling function has dense jump discontinuities because the...
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I will be discussing the axiomatic conception of mathematics, the modern version of which is clearly due to Hilbert; but one aspect of it goes back to Cantor. I refer here to Hilbert’s view that the demands of mathematical existence and truth are entirely met by a suitable axiomatization. By whatever dialectical process we come to adopt the axioms, whatever ‘intuitions’ lead us to them, the que...
متن کاملTransmission properties of one dimensional fractal structures
In this paper, the optical properties of one dimensional fractal structures are investigated. We consider six typical fractal photonic structures: the symmetric dual cantor-like fractal structure, the asymmetric dual cantor-like fractal structure, the single cantor-like fractal structure, the symmetric dual golden-section fractal structure, the asymmetric dual golden-section fractal structure a...
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تاریخ انتشار 1997