We consider the three forms of self-duality that can be exhibited by a planar graph G, map self-duality, graph self-duality and matroid self-duality. We show how these concepts are related with each other and with the connectivity of G. We use the geometry of self-dual polyhedra together with the structure of the cycle matroid to construct all self-dual graphs. 1.1. Forms of Self-duality. Given...

BACKGROUND AND PURPOSE Our aim was to prospectively evaluate the effects of induced arterial hypertension in patients with large ischemic stroke. METHODS A total of 47 monitoring sessions in 19 patients with acute, complete, or subtotal middle cerebral artery (MCA) territory stroke were performed. Intracranial pressure (ICP) was monitored using a parenchymal catheter. Mean arterial blood pres...

In this supplementary document, we present how we characterize diversity in solutions along with some oracle statistics (Section 1.1) , and show some example success and failure cases of our re-ranker (Section 2). 1. Analyzing Diverse Segmentations In this section, we characterize the diversity achieved in the multiple segmentations. Specifically, we investigate the sources of diversity, and at...

Consider the map $S$ which sends a planar polygon $P$ to new $S(P)$ whose vertices are intersection points of second nearest sides $P$. This is inverse famous pentagram map. In this paper we investigate dynamics $S$. Namely, address question whether convex stays under iterations Computer experiments suggest that almost never happens. We prove indeed set polygons remain has measure zero, and mor...

Corresponding Author: Muhammad Asif Khan Department of Electrical and Electronics Engineering, Universiti Teknologi PETRONAS, Darul Ridzuan, 31750 Perak, Malaysia Email: [email protected] Abstract: Robust chaotic maps with wide robust region are favored in cryptography as it extends the key length. Chaotic tent map has robust chaos for control parameter μ = 2. Perturbation of control parameter v...

[1] Spatial variability of hydraulic conductivity exerts a predominant control on groundwater flow by influencing advective pathways, hydrodynamic dispersion, and density-dependent instabilities. Space-local spectral texture segmentation aids in the macroscale characterization of the spatial heterogeneity of natural porous media via an outcrop analogue approach. Detailed photographic data sets ...

Recently, the ambiguity and deficiency of a given bijective mapping F over a finite abelian group G were introduced by Panario et al. [PSS+13, PSSW11] to measure the balancedness of the derivatives DaF (x) = F (x+a)−F (x) for all a ∈ G\{0}. Fundamental properties and cryptographic significance of these measures were further studied in [PSSW11, PSS+13]. In this paper, we extend the study of the ...

We show that if ft is a holomorphic family of quadratic-like maps with all periodic orbits repelling so that for each real t the map ft is a real Collet-Eckmann S-unimodal map then, writing μt for the unique absolutely continuous invariant probability measure of ft, the map

We construct Adams operations on higher algebraic K-groups induced by operations such as symmetric powers on any suitable exact category, by constructing an explicit map of spaces, combinatorially deened. The map uses the S-construction of Waldhausen, and deloops (once) earlier constructions of the map.

We construct homotopically non-trivial maps from Sm to Sn with arbitrarily small 3-dilation for certain pairs (m,n). The simplest example is the case m = 4, n = 3, and there are other pairs with arbitrarily large values of both m and n. We show that a homotopy class in π7(S) can be represented by maps with arbitrarily small 4-dilation if and only if the class is torsion. The k-dilation of a map...