We define a new cyclic module, dual to the Connes-Moscovici cyclic module, for Hopf algebras, and give a characteristric map for coactions of Hopf algebras. We also compute the resulting cyclic homology for cocommutative Hopf algebras, and some quantum groups.

We present a new linear time algorithm for nding rectangular duals of planar triangular graphs. The algorithm is conceptually simpler than the previous known algorithm. The coordinates of the rectangular dual constructed by our algorithm are integers and have pure combinatorial meaning. This allows us to discuss the heuristics for minimizing the size of the rectangular duals.

We propose and demonstrate a multiplexed fiber-optic sensor system using a dual-slope (triangular) frequency-modulated laser source. The restrictions in the selection of beat frequencies of the multiplexed sensors in previous studies that employed ramp modulation wave forms are eliminated.

Abstract: Along with the increase of data usage in actual applications, it has become an important issue in ensemble learning to improve the ability for data analysis and processing. In order to improve the learning precision and get more accurate classification and projections in practical problems, triangular norms are introduced into the ensemble learning system. Triangular norms can improve...

Now choose a Borel subgroup B in G and a maximal torus T in B so that, if B is the opposite Borel subgroup, then B ∩ H and B ∩ H are a Borel subgroups in H and T ∩H is a maximal torus in H . We follow the convention that the roots of B are positive. If λ ∈ X(T ), then indGB(−λ) is the dual Weyl module ∇G(λ ) with highest weight λ = −w0λ and lowest weight −λ. Its dual is the Weyl module ∆G(λ). I...

A previously developed ACT-R/threaded cognition model of dual-task interference (Borst, Taatgen & Van Rijn, 2009) was used to predict neuroimaging data in four brain areas. These predictions were tested in an fMRI experiment, which confirmed the predictions in three of the areas. The fourth area, the intraparietal sulcus, showed a different pattern than predicted. To account for this, a new map...

Let Y denote a D-class symmetric association scheme with D ≥ 3, and suppose Y is almostbipartite Pand Q-polynomial. Let x denote a vertex of Y and let T = T (x) denote the corresponding Terwilliger algebra. We prove that any irreducible T -module W is both thin and dual thin in the sense of Terwilliger. We produce two bases for W and describe the action of T on these bases. We prove that the is...

In this paper, the physical-layer redundancy method is proposed for the fault-tolerant industrial network. The proposed method consists of the fault detection method and the correction method. The fault detection method uses events created by the state transition in the IEEE 802.4 MAC sublayer and the periodic status frame check for the detection of the fault. The fault correction method correc...

This paper describes a dual-band low-profile bidirectional antenna fed by triangular monopole (TMA) with U-shaped metal cover. In addition to the higher band resonance of TMA, another lower is generated coupling between TMA and cover so that proposed has dual operation bands. The radiation patterns for both bands, peak actual gain are 2.2 dBi 4.7 at band, respectively. measured analyzed results...

This paper aims to contribute to the study of algebras with triangular decomposition over a Hopf algebra, as well as the BGG Category O. We study functorial properties of O across various setups. The first setup is over a skew group ring, involving a finite group Γ acting on a regular triangular algebra A. We develop Clifford theory for A⋊Γ, and obtain results on block decomposition, complete r...