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Harte, Robin,Keogh, Gary Korean Mathematical Society 2003 대한수학회보 Vol.40 No.2
There seems to be a love-hate relationship between Brouwer's fixed point theorem and the fundamental theorem of algebra; in this note we offer one more tweak at it, and give a version of Rouches theorem.
Harte, Robin Korean Mathematical Society 2003 대한수학회지 Vol.40 No.2
For linear operators between Banach algebras "spectral boundedness" is derived from ordinary boundedness by substituting spectral radius for norm. The interplay between this concept and some of its near relatives is conspicuous in a result of Curto and Mathieu.
Robin Harte,Gary Keogh 대한수학회 2003 대한수학회보 Vol.40 No.2
There seems to be a love-hate relationship between Brouwer's fixed point theorem and the fundamental theorem of algebra; in this note we offer one more tweak at it, and give a version of Rouch\'es theorem.
Robin Harte 대한수학회 2003 대한수학회지 Vol.40 No.2
For linear operators between Banach algebras ``spectralboundedness" is derived from ordinary boundedness by substituting spectralradius for norm. The interplay between this concept and some of its nearrelatives is conspicuous in a result of Curto and Mathieu.
( R. Joseph Harte ) 서울대학교 법학연구소 2010 Journal of Korean Law Vol.9 No.2
Korea has recently enacted legislation that strengthens existing prohibitions on age discrimination by providing stiff penalties for violation. The core of any legislation lies in its definitional framework since it is through this framework that liability is ultimately established. This article examines and evaluates the scope and definitional language of the new Korean legislation through a comparative analysis of related provisions in the anti-age discrimination statutes of the US and UK. These jurisdictions are selected for comparison because they represent both a long-standing statutory regime and one that has been more recently established. The analysis reveals critical weaknesses in the structural and definitional aspects of the Korean legislation that may render determinations of liability ambiguous and therefore unreliable. Specifically, ambiguities in the scope of application due to faulty construction, reliance on a minimalist definition that appears to merely prohibit “unreasonable distinctions,” and a confusion in the possible exceptions to discrimination raise concerns as to whether the new penalties will have any significant impact on reducing age discrimination in the Korean workplace since the prospects for ultimately reaching those penalties are doubtful.
New design concept and damage assessment of large-scale cooling towers
Noh, Sam-Young,Meskouris, Konstantin,Harte, Reinhard,Kratzig, Wilfried B. Techno-Press 2003 Structural Engineering and Mechanics, An Int'l Jou Vol.15 No.1
The motivation of this paper is to introduce the modern technology of large-scale cooling tower design. Thereby the innovative design concept for the world's largest cooling tower with a height of 200 m is briefly presented (Harte & Kr$\ddot{a}$tzig 2002, Bush et al. 2002). The new concept was considered not only for safety, but also for preservation of the durability of the structure, because cracking damage in large cooling towers in general cause extremely high cost of maintenance and repair. The paper demonstrates numerically the damage process in large cooling towers (Kr$\ddot{a}$tzig et al. 2001), and describes some basics of the numerical finite element approach for damage propagation modelling of shell structure. A prototype is analysed to trace the progressive damage process, whereby the changes in the dynamical behaviour of the structure, as mirrored in its natural frequencies and the corresponding mode shapes, are presented and discussed. Finally, the example shows that such damage processes develop progressively over the life-time of the shell structure.