In an effort to understand the workings of the retinal receptive fields, Enroth-Cugell and Robson developed a mathematical model that utilized the difference-of-Gaussian (DOG) function, an equation in which the inhibitory portion of a receptive field is subtracted from the excitatory portion. Additions to the original Enroth-Cugell and Robson equation have been successful in modeling a twodimen...

Objective. Vaccination will be instrumental in controlling the COVID-19 pandemic, and vaccination of children necessary to achieve herd immunity. Given that with chronic health conditions may at increased risk COVID-19, it is crucial understand factors influencing parental decisions about whether have their child vaccinated. The study objectives were measure intent asthma vaccinated against ide...

The aim of the present work was to evaluate with different statistical criteria the suitability of nine equations for describing and optimizing the simultaneous effect of temperature and pH on glucanex activity using two characteristic polysaccharides (curdlan and laminarin) as substrates. The most satisfactory solutions were found with an empirical equation constituted with parameters of pract...

We prove the first fundamental theorem of invariant theory for the action of the special orthogonal group on m tuples of matrices by simultaneous conjugation. A basic relation between polynomial invariants is also studied.

Let Md(k) denote the space of d×d-matrices with coefficients in an algebraically closed field k. Let X be an orbit closure in the product [Md(k)] t equipped with the action of the general linear group GLd(k) by simultaneous conjugation. We show that X is regular at any point y such that the orbit of y has codimension one in X. The proof uses mainly the representation theory of associative algeb...

The generating function for words with several simultaneous maj weights is given. New maj-like Mahonian statistics result. Some applications to integer partitions are given.

In comparing two treatments with failure time observations, con®dence bands for the `̀ difference'' of two survival curves provide useful information about a global picture of the treatment difference over time. In this note, we propose a rather simple procedure for constructing such simultaneous con®dence intervals. Our technique can also be used in the one-sample case, which has been extensive...

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