The existence of a generalized magnitude system in the human mind and brain has been studied extensively but remains elusive because it has not been clearly defined. Here we show that one possibility is the representation of relative magnitudes via ratio calculations: ratios are a naturally dimensionless or abstract quantity that could qualify as a common currency for magnitudes measured on vas...

We report a photoresist offset method using gray-scale technology to counteract the effect of aspect ratio dependent etching (ARDE), achieving controlled etch depths across a range of aspect ratios. Previously, we have reported the first fabrication of a deep phase Fresnel lens (PFL) in silicon through the use of gray-scale technology. As each PFL ridge becomes thinner at larger radii of the PF...

Covariate shift is a situation in supervised learning where training and test inputs follow different distributions even though the functional relation remains unchanged. A common approach to compensating for the bias caused by covariate shift is to reweight the training samples according to importance, which is the ratio of test and training densities. We propose a novel method that allows us ...

Multiplication of a ratio scale by a positive constant (a similarity transformation) causes the values to change to a different unit of measure without upsetting relative ratios between objects. Because the relative ratios of any two objects are uniquely represented, a column vector estimating the same objects can be expressed as a comparison matrix which has no effect of any similarity transfo...

in this paper, non parametric data envelopment analysis (dea) was subjected to the energy data of wheat producers in punjab state, india, and technical, pure technical and scale efficiencies were calculated for farms both category wise and zone wise. the main objective was to determine the strength of the correlation between non-parametric efficiencies and indices such as energy ratio and speci...