Let No be Conway’s class of surreal numbers. I will make explicit the notion of a function f on No recursively defined over some family of functions. Under some ‘tameness’ and uniformity conditions, f must satisfy some interesting properties; in particular, the supremum of the class ̆ x ∈ No : f (x) ≥ 0 ̄ is actually an element of No. As an application, I will prove that concatenation function x ...

We use character sums to confirm several recent conjectures of V. I. Arnold on the uniformity of distribution properties of a certain dynamical system in a finite field. On the other hand, we show that some conjectures are wrong. We also analyze several other conjectures of V. I. Arnold related to the orbit length of similar dynamical systems in residue rings and outline possible ways to prove ...

In this report I have tried to describe the main streams of research presented at the workshop. Occasionally I have described some contributions which were presented in poster form, whenever they were directly related to the subjects presented in the talks. This paper is, essentially, a patchwork of various people description of their work, which I have edited in an attempt to obtain some unifo...

The aim of this work is to study the uniformity of the perceptual space of the multistage neural colour vision model ATTD05 by comparison with CIECAM02, which is the latest colour appearance model adopted by the CIE. A set of parameters describing the deformation suffered by the loci of constant chroma and hue of the Munsell Atlas, were used to measure the degree of uniformity of the space. Fro...

Abstract I study the minimax-optimal design for a two-arm controlled experiment where conditional mean outcomes vary in given set and objective is effect-estimation precision. When this permutation symmetric, optimal shown to be complete randomization. Notably, even when has structure (i.e., not symmetric), being precision still requires randomization beyond single partition of units, that is, ...

due to the scarcity of water resources, the need for sustainable development of drip irrigation tape is essential in iran. a number of drip irrigation tape systems used in sugar beet fields of isfahan and chahar mahal va bakhtiari provinces were evaluated and were compared with furrow irrigation methods in two consecutive years. the actual water use efficiency (wuesy, wuewsy) in lower quarter, ...

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