摘要:

LetMbe a minimal surfaceGbe its Gauss map, andbe aC1-mapping. When the first derivatives ofFare close to those ofGso as to satisfy some inequalities with a constantC, we prove thatFis 1/(1-2C)-quasiconformal. We also prove that the Gauss map of a 2-dimensional manifold immersed inis quasiconformal when its mean curvature vectorHsatisfies |H|2≤-CRfor the Gaussian curvatureR.

ISSN:0278-1077    

DOI:10.1080/17476939508814796

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

We state and prove several results on the shadowing of a subsequence of a computable orbit of a discrete dynamical system by computable orbits of other discrete dynamical systems. We define ε-shadowing and asymptotic ε-shadowing. By shadowing part of an orbit of a dynamical system by a second orbit of a different dynamical system we have removed the usual emphasis on phase. Our results compare sub-sequences of computable orbits that converge linearly to an algebraic number to computable orbits of Newton's and other methods which converge to the same algebraic number with orders of convergence greater than one. We study algebraic numbers and show relations between global complex analysis and number theory.

ISSN:0278-1077    

DOI:10.1080/17476939508814797

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

It is shown that there is a unique solutionFto the problemThe functionFis entire with a number of special properties. The number λ is the reciprocal of the smallest zero of the 0th Bessel function of the first kind.

ISSN:0278-1077    

DOI:10.1080/17476939508814798

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939508814799

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939508814785

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor