Solving the SLAM problem is one way to enable a robot to explore, map, and navigate in a previously unknown environment. We investigate smoothing approaches as a viable alternative to extended Kalman filter-based solutions to the problem. In particular, we look at approaches that factorize either the associated information matrix or the measurement matrix into square root form. Such techniques ...

Square Root Palindromes ................................... 1 Sigma Quest .......................................................... 6 Decimal Fractions ................................................ 9 Designing Weavable Color Patterns ............... 12 Polygraphic Substitution .................................. 17 Programming Tips ............................................. 20 What’s Comi...

Three algorithm implementations for square root computation are considered in this paper. Newton-Raphson's, iterative, and binary search algorithm implementations are completely designed, verified and compared. The algorithms, entire system-on-chip realisations and their functioning are described.

Let Q0 denote the rational numbers expanded to a meadow by totalizing inversion such that 0 = 0. Q0 can be expanded by a total sign function s that extracts the sign of a rational number. In this paper we discuss an extension Q0(s, √ ) of the signed rationals in which every number has a unique square root.

Identify the domain and range of each. Then sketch the graph.

Using path-integral techniques, we compute exactly the distribution of the maximal height Hp of p nonintersecting Brownian walkers over a unit time interval in one dimension, both for excursions p watermelons with a wall, and bridges p watermelons without a wall, for all integer p>or=1. For large p, we show that approximately square root 2p (excursions) whereas approximately square ro...

Abstract Zeroing neural networks (ZNN) have shown their state-of-the-art performance on dynamic problems. However, ZNNs are vulnerable to perturbations, which causes reliability concerns in these models owing the potentially severe consequences. Although it has been reported that some possess enhanced robustness but cost worse convergence speed. In order address problems, a robust with an adapt...

The range and sparsity of the one-electron density matrix (DM) in Density Functional Theory (DFT) is studied for large systems using the analytical properties of its Chebyshev expansion. General estimates of the range of the DM are derived, showing that the range is inversely proportional to the square-root of an insulator band gap and inversely proportional to the square-root of the temperatur...