The scaling of root mean square (RMS) wave aberration in an isometrically growing eye is investigated, along with changes due to measurements made at different relative pupil sizes. It is found that, relative to an initial state, if an eye expands in all directions by the factor k, and the wave aberration is then measured at a relative pupil size which has changed over the pupil size used for t...

We present a model of competitive interaction among n symmetric …rms producing a homongeous good that includes both Bertrand and Cournot competition as special cases. In our model the intensity of competition is captured by a single parameter –the perceived slope of competitors’supply functions. We show that total welfare increases monotonically with the intensity of competition and the number ...

We setup a model of competitive interaction among symmetric …rms producing a homogeneous good that includes both Bertrand and Cournot competition as special cases. In our model the intensity of competition is captured by a single parameter –the perceived slope of competitors’supply functions. We show when the number of …rms is …xed, total welfare increases monotonically with the degree of compe...

We propose a generalization of the parallelogram identity in any dimension N ≥ 2, establishing the ratio of the quadratic mean of the diagonals to the quadratic mean of the faces of a parallelotope.

Current mitigation levels for noise transients impinging on marine mammals are specified by rms pressures. The rms measure critically relies upon choosing the size of averaging window for the squared pressures. Derivation of this window is not standardized, which can lead to 2-12 dB differences in rms sound pressure for the same wave forms. rms pressure does not represent the energy of the nois...

digital elevation model (dem) is increasingly used these days as an effective tool to extract elevation data in quantitative environmental and land management studies. the improvement of sensors and land resource satellites has made it possible to generate dem from remotely sensed data. dems which are produced from these data are applied not only in the two dimensional (2d) but also in the thre...

The topographical features of fractured tensile, flexural, K1C, and impact specimens of monolithic epoxy have been studied and correlated with mechanical properties and surface features of samples before fracture. The topographical features studied include waviness (Wa), roughness average (Ra), root mean square value (Rq), and maximum roughness height (Rmax or Rz). As surface notches generate t...