We present a detailed algorithm to construct symbolic encodings for chaotic attractors of three-dimensional flows. It is based on a topological analysis of unstable periodic orbits embedded in the attractor and follows the approach proposed by Lefranc et al. [Phys. Rev. Lett. 73, 1364 (1994)]. For each orbit, the symbolic names that are consistent with its knot-theoretic invariants and with the...

OBJECTIVES To hypothesize in a new and different population that administrative database (ADB) screening would identify somatizing patients by increasing numbers of visits, female gender, and greater percent of International Classification of Diseases, 9th Edition (ICD-9) primary diagnosis codes in musculoskeletal, nervous, gastrointestinal (GI), and ill-defined body systems. We labeled these c...

We hypothesized that left ventricular (LV) diastolic dysfunction assessed by cardiac catheterization may be associated with increased risk for cardiovascular events. To test the hypothesis, we assessed diastolic function by cardiac catheterization (relaxation time constant (Tau) and end-diastolic pressure (EDP)) as well as Doppler echocardiography (early diastolic mitral annular velocity (e') a...

Zoltán Füredi1 Alfréd Rényi Institute Hungarian Academy of Sciences Budapest, P.O.Box 127, Hungary, H-1364, [email protected] and Department of Mathematics University of Illinois at Urbana-Champaign Urbana, IL 61801, USA [email protected] Lale Özkahya Department of Mathematics Iowa State University Ames, IA 50011, USA [email protected] Abstract One of the central problems of extremal...

Hall magnetohydrodynamics (MHD) properties near a two-dimensional (2D) X-type magnetic neutral line in the steady state are considered. Upon considering the steady-state as the asymptotic limit of the corresponding time-dependent problem and using a rigorous development, Hall effects are shown to be or not to be able to sustain the hyperbolicity of the magnetic field (and hence a more open X-po...

renal failure: standards and audit measures (third edition). London: UK Renal Association, 2002. 2. Walker KS, Seth J. Stability of parathyroid hormone in blood from renal patients on haemodialysis. Ann Clin Biochem 2000;37:800–1. 3. Omar H, Chamberlin A, Walker V, Wood PJ. Immulite 2000 parathyroid hormone assay: stability of parathyroid hormone in EDTA blood kept at room temperature for 48 ho...

KCNK17 (potassium channel, subfamily K, member17) was first discovered to associate with the pathogenesis of ischemic stroke in the first genome-wide association study. The rs10947803 SNP in KCNK17 is significantly associated with ischemic stroke in Caucasian populations. The aim of the present study was to investigate the association with strokes in the Chinese population. A total of 1364 stro...

We review the work (from 1976 to 1996) by several researchers on the metamathematics of P vs. NP. That work points towards the possibility that, given some strong consistent axiomatic system S with a recursively enumerable set of theorems which includes arithmetic, for the R2 sentence 1⁄2P 1⁄4 NP that formalizes the P 1⁄4 NP hypothesis, S þ 1⁄2P 1⁄4 NP is consistent. We consider the work of sev...

References 1. Wystrach, A., and Graham, P. (2012). What can we learn from studies of insect navigation? Anim. Behav. 84, 13–20. 2. Collett, M., Chittka, L., and Collett, T.S. (2013). Spatial memory in insect navigation. Curr. Biol. 23, R789–R800. 3. Kohler, M., and Wehner, R. (2005). Idiosyncratic route-based memories in desert ants, Melophorus bagoti: How do they interact with path-integration...

One of our results: Let X be a finite set on the plane, 0 < ε < 1. Then there exists a set F (a weak ε-net) of size at most 7/ε such that every convex set containing at least ε|X| elements of X intersects F . Note that the size of F is independent of the size of X. 1Research supported by a United Stat es Isreal BSF grant 2On leave from the Mathematica l Institute of the Hungarian Academy of Sci...