A k-orbit map is a map with k flag-orbits under the action of its automorphism group. We give a basic theory of k-orbit maps and classify them up to k 6 4. “Hurwitz-like” upper bounds for the cardinality of the automorphism groups of 2orbit and 3-orbit maps on surfaces are given. Furthermore, we consider effects of operations like medial and truncation on k-orbit maps and use them in classifyin...

1. Strengths This paper makes the point that load balancers break ping just as they do traceroute. In fact, the authors discover that, due to link aggregation, even measurements along the same IP-level path may have very different delays. The paper proposes to apply the Paris-traceroute idea of controlling path identifier to ping, resulting in Tokyo-ping. It then examines this approach to show ...

Ping Kwan ST013a, Department of Rehabilitation Sciences, Hong Kong Polytechnic University, Hong Kong Correspondence should be addressed to Ping Kwan; [email protected] Received 24 May 2013; Accepted 25 June 2013; Published 15 April 2014 Copyright © 2014 Ping Kwan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, dist...

In this paper, we first define an equivalence relation on the sequence space $\Sigma _{2}$. Then equip quotient set _{2}/_{\sim}$ with a metric $d_1$. We also determine isometry map between spaces $(\Sigma _{2}/_{\sim},d_1)$ and $([0,1],d_{eucl})$. Finally, investigate symmetry conditions respect to some points compare truncation errors for computations which is obtained by metrics $d_{eucl}$

In this paper, a novel design method for a dual-band bandpass filter (BPF) with arbitrary controllable bandwidths based on a simple frequency mapping function is proposed and its analytical design equations are also derived. The circuit conversion techniques are employed for implementation with distributed transmission line. To validate the proposed dual-band BPF with controllable bandwidths, a...

Abstract We investigate the injective types and algebraically in univalent mathematics, both absence presence of propositional resizing. Injectivity is defined by surjectivity restriction map along any embedding, algebraic injectivity a given section embedding. Under resizing axioms, main results are easy to state: (1) equivalent truncation injectivity. (2) The precisely retracts exponential po...