Prediction of Bay-Shaped Shorelines between Detached Breakwaters with Various Gap Spacings

Fully Autonomous Observation of Breakwaters by an Auv at Kamaishi Bay

This paper proposes a robust navigation method for Autonomous Underwater Vehicles (AUVs) operating around structures such as harbors and breakwaters. This method consists of a state estimator and a motion controller, enabling localization in the configuration map as well as following pre-given waypoints without any external help. The state estimator is based on a “particle filter” where the veh...

The Distribution of Spacings between Quadratic Residues

We study the distribution of spacings between squares modulo q, where q is square-free and highly composite, in the limit as the number of prime factors of q goes to infinity. We show that all correlation functions are Poissonian, which among other things, implies that the spacings between nearest neighbors, normalized to have unit mean, have an exponential distribution. Date: Dec 14, 1998. Sup...

The Distribution of Spacings between Quadratic

Ecological value of submerged breakwaters for habitat enhancement on a residential scale.

Estuarine shorelines have been degraded since humans arrived in the coastal zone. In recent history, a major cause of habitat degradation has been the armoring of shorelines with vertical walls to protect property from erosive wave energy; however, a lack of practical alternatives that maintain or enhance ecological function has limited the options of waterfront residents and coastal zone manag...

On the spacings between C-nomial coefficients

Let (Cn)n≥0 be the Lucas sequence Cn+2 = aCn+1 +bCn for all n ≥ 0, where C0 = 0 and C1 = 1. For 1 ≤ k ≤ m− 1 let [ m k ] C = CmCm−1 · · ·Cm−k+1 C1 · · ·Ck be the corresponding C-nomial coefficient. When Cn = Fn is the Fibonacci sequence (the numbers [ m k ] F are called Fibonomials), or Cn = (qn − 1)/(q − 1), where q > 1 is an integer (the numbers [ m k ] q are called q-binomial, or Gaussian co...