If the Moon’s spin evolved from faster prograde rates, it could have been captured into a higher spin–orbit resonance than the current 1:1 resonance. At the current value of orbital eccentricity, the probability of capture into the 3:2 resonance is as high as 0.6, but it strongly depends on the temperature and average viscosity of the Moon’s interior. A warmer, less viscous Moon on a higher ecc...

Using the characteristic property of chordal graphs that they are the intersection graphs of subtrees of a tree, Erich Prisner showed that every chordal graph admits an eccentricity 2approximating spanning tree. That is, every chordal graph G has a spanning tree T such that eccT (v) − eccG(v) ≤ 2 for every vertex v, where eccG(v) (eccT (v)) is the eccentricity of a vertex v in G (in T , respect...

The dimensions of the Westheimer function are stable across populations and in time and vary with the eccentricity of fixation. The function is thus useful to assess whether an individual is fixing centrally and if not to estimate the degree of eccentricity of fixation. We identified both summation and inhibition-like regions in a 66-year-old woman with senile macular degeneration and estimated...

Abstract: The structure of bus network is very significant for bus system. To evaluate the performance of the structure of bus network, indicators basing on graph theory and complex network theory are proposed. Three forms of matrices comprising linestation matrix, weighted adjacency matrix and adjacency matrix under space P are used to represent the bus network. The paper proposes a shift powe...

Previous studies have sought to improve cycling performance by altering various aspects of the pedaling motion using novel crank-pedal mechanisms and non-circular chainrings. However, most designs have been based on empirical data and very few have provided significant improvements in cycling performance. The purpose of this study was to use a theoretical framework that included a detailed musc...

The usual definition of average degree for a non-regular lattice has the disadvantage that it takes the same value for many lattices with clearly different connectivity. We introduce an alternative definition of average degree, which better separates different lattices. These measures are compared on a class of lattices and are analyzed using a Markov chain describing a random walk on the latti...