An easy consequence of Kantorovich-Rubinstein duality is the following: if f : [ 0 , 1 ] d → R Lipschitz and { x … N } ⊂ then | ∫ ( ) − ∑ k = ≤ ‖ ∇ L ∞ ⋅ W δ where denotes 1−Wasserstein (or Earth Mover's) Distance. We prove a similar inequality with smaller norm on larger Wasserstein distance instead ). Our sharp when points are very regular, i.e. ∼ / . This prompts question whether these two i...

The Rubinstein-Taybi syndrome was first described in 1963. The main clinical features are mental retardation, broad thumbs and great toes, a characteristic facies, and a high-arched palate. Rubinstein and Taybi (1963) described 7 cases in the United States. Since then, small groups of patients and single examples of this syndrome have been reported in the United States (Coffin, 1964; Taybi and ...

Now, almost half a century after Simon (1957) coined the term "bounded rationality", there is only little controversy left concerning the importance of the issue. The amount of empirical and experimental evidence revealing the limitations of human knowledge, cognition, and computational abilities is so large that it simply can no longer be ignored. Therefore, the debate in the field of economic...

In this note we investigate the Cheltsov--Rubinstein conjecture. We show that conjecture does not hold in general and some counterexamples will be presented.

We present a fuzzy version of the Group Identification Problem ("Who is J?") introduced by Kasher and Rubinstein (1997). consider class $N = \{1,2,\ldots,n\}$ agents, each one with an opinion about membership to group J members society, consisting in function $\pi : N \to [0; 1]$, indicating for agent, including herself, degree J. problem aggregating those functions, satisfying different sets a...

This is a rare cause of mental handicap. Case finding studies in several English speaking countries have found about one case per 300 institutionalised subjects.3 Assuming that at that time about 1 per 1000 of the general population required institutionalisation the population frequency would be about 1 in 300 000. Sex ratio, j3arental ages, pregnancy history, and birth weights have been unrema...

The purpose of this report is to describe the fluorescein angiography findings in a case of Rubinstein-Taybi syndrome. Fundus photography and fluorescein angiography were performed on a 6-year-old male with Rubinstein-Taybi syndrome due to CREB binding protein gene mutation. Fundus photography showed glaucomatous cupping and diffusely attenuated retinal vasculature. Choroidal vasculature was pr...

In Sergei L. Rubinstein’s article “On the Philosophical System of H. Cohen” (1918), Hermann Cohen’s judgments on ethics and logic their partly problematic relationship are considered. On basis historical philosophical research into epistemological views Cohen I show interaction between ideas Rubinstein Neo-Kantianism. Common features following concepts revealed: criticism, installation logic, a...