Koch curve is known as a typical self-similar set on Euclidean plane. Koch island is a closed set surrounded by three copies of Koch curve. We investigate them from the viewpoint of computability. In this paper, we define computability of a curve and that of a closed set as an application of classical computable analisys to Euclidean spaces and show that Koch curve is a computable curve and bot...

a Department of Trauma Surgery and Reconstructive Surgery, University Medical Center Goettingen, Robert-Koch 40, 37075 Goettingen, Germany b Institute for Research in Operative Medicine, Faculty of Health, School of Medicine, Witten/Herdecke University, Cologne, Germany c Department of Radiology, University of Goettingen, Robert-Koch 40, 37075 Goettingen, Germany d Department of Medical Microbi...

We construct a linear extension operator, Π, which extends a function u in the energy domain of the fractal Koch curve S to a larger domain Ω ⊆ R. The operator Π is the limit of a sequence of operators Πn and satisfies the estimate ∥Πu∥H1(Ω) ≤ C √ E[u] + ∥u∥2L2(S,μ) where C is a numerical constant independent of u. Our approach is different and more constructive than the standard approach and e...

The genus Stachys belongs to Lamiaceae family with about 300 species and worldwide distribution. In the present study, the cytotoxic activity of four fractions of different Satchys species (S. byzatina C. Koch., S. inflata Benth., S. setifera Ten. and S. persica Gmel.), has been investigated against HT-29 (colon carcinoma), Caco-2 (colorecta...

ing. Circulation 2007;116(Suppl. I):I-213–I-219. 115. Zacharias A, Schwann TA, Riordan CJ, Durham SJ, Shah AS, Habib RH. Obesity and risk of new-onset atrial fibrillation after cardiac surgery. Circulation 2005;112: 3247–3255. 116. Koch CG, Li L, Van Wagoner DR, Duncan AI, Gilinov AM, Blackstone EH. Red cell transfusion is associated with an increased risk for postoperative atria fibrillation. ...