In this work, we consider the tessellations (or tilings) of Euclidean and hyperbolic planes using copies of a regular polygon. We introduce the concept of k-type of vertices and edges, which allow a thorough control of these elements when the tessellation increases, and we obtain an enumeration for the vertices, edges, and polygons at a given distance. Partially funded by a grant from Fapesp (2...

in this note we consider the notion of intuitionistic fuzzy (weak) dual hyper k-ideals and obtain related results. then we classify this notion according to level sets. after that we determine the relationships between intuitionistic fuzzy (weak) dual hyper k-ideals and intuitionistic fuzzy (weak) hyper k-ideals. finally, we define the notion of the product of two intuitionistic fuzzy (weak) du...

Quantum mechanics/molecular mechanics (QM/MM) Car-Parrinello simulations were performed to estimate the coordination numbers of K(+) and Na(+) ions in the selectivity filter of the KcsA channel, and in water. At the DFT/BLYP level, K(+) ions were found to display an average coordination number of 6.6 in the filter, and 6.2 in water. Na(+) ions displayed an average coordination number of 5.2 in ...

The PLL equivalent augmented system incorporated with state feedback is proposed in this paper. The optimal value of filter time constant of loop filter in the phase-locked loop control system and the optimal state feedback gain designed by using linear quadratic regulator approach are derived. This approach allows the PLL control system to employ the large value of the phasefrequency gain d K ...

Bloom filters are a well known data-structure that supports approximate set membership queries that report no false negatives. Each element in the universe represented by the bloom filter is associated with k random bits in the structure. Traditional bloom filters, therefore, require k non-local memory operations to insert an element or perform a lookups. For very large bloom filters, these k l...

The two-stage Kalman estimator was originally proposed to reduce the computational complexity of the augmented state Kalman filter. Recently, it was also applied to the tracking of maneuvering targets by treating the target acceleration as a bias term. Except in certain restrictive conditions, the conventional two-stage estimators are suboptimal in the sense that they are not equivalent to the ...

Combinatorial filters have been the subject of increasing interest from the robotics community in recent years. This paper considers automatic reduction of combinatorial filters to a given size, even if that reduction necessitates changes to the filter’s behavior. We introduce an algorithmic problem called improper filter reduction, in which the input is a combinatorial filter F along with an i...

We modified the Adaptive Noise Cancellation procedure of Widrow et al. (11 for use as an adaptive band-pass filter to process Steady-State Evoked Potentials (SSEPs). The adative filter yields an approsimate 10 dB improvement in Signal to Noise Ratio over the Discrete Fourier Transform. Introduction Steady-state evoked potentials (SSEPs) are comprised of narrow-band signals buried in broad-band ...