Recently generalized Fibonacci numbers have received increasing attention. Some properties that are well known for traditional Fibonacci numbers do not generalize easily, some others do not generalize at all. In this paper we report some properties that we have generalized. Section 1 introduces the notation and a theorem due to...
It is well known that the Fibonacci numbers can be expressed in the
form Round {1/√5 λ₀[superscript n]} where λ₀ = (1 + √5)/2. [Knu75] We look at integer sequences which are solutions to non-negative difference equations and show that if the equation is 1-Bounded then the solution can be...
The abundance and distribution of biogenic, terrigenous and
volcanic particles in the Panama Basin are markedly dependent on
bottom topography and dissolution of calcite in the deeper parts of the
basin. Of the coarse fraction (>62μ), foraminiferal tests and acidic
volcanic glass shards are concentrated on the Cocos and Carnegie...
The effects of alongshore variability in topography (banks and capes) and spatial variability in the wind forcing, including the wind-stress curl, on coastal ocean circulation are studied using a combination of observations and model simulations. Satellite sea surface temperature observations are used to describe the seasonal evolution of temperature fronts...
Property rights are the foundation of institutions that shape economic decisions ranging from individual transactions to the performance of a country’s economy. The incentives generated by the institutions in place also translate into measures of vulnerability and recovery in the face of natural disasters. Using the example of Chilean fisheries...
We investigate several methods of computing Fibonacci numbers quickly and generalize some properties of the Fibonacci numbers to degree r Fibonacci (R-nacci) numbers. Sections 2 and 3 present several algorithms for computing the traditional, degree two, Fibonacci numbers quickly. Sections 4 and 5 investigate the structure of the binary representation...
Countries exploiting transboundary fisheries face strong incentives for over- exploitation. This basic economic insight has been validated empirically; transboundary fisheries tend to be in worse condition than fisheries in single nations. Thus, transboundary fisheries pose a significant, and globally ubiquitous, management challenge. Attempts to solve this challenge through cross-country cooperation...
Data from the SeaWinds scatterometer on the
QuikSCAT satellite are used to estimate upwelling around
Cabo Frio, Brazil, due to Ekman transport and Ekman
pumping. The region close to shore (up to 200 km from the
coast) is characterized by negative wind stress curl
(upwelling favorable) year-round, with maximum values...
A high-resolution numerical model with idealized topography is used to investigate the degree to which a coastal upwelling jet separates from the shelf as it flows around a submarine bank depending on the wind strength and the horizontal scale of the bank. Experiments were run using several wind forcing magnitudes...
Repeated mesoscale surveys of waters over the shelf and slope off Oregon were
conducted during spring and summer of 2001 to study the spatial structure of the velocity
and hydrographic fields. The ocean response to wind forcing is compared between a
region of relatively simple topography with alongshore uniformity and...