Some aspects of the history and impact of the dimension revolution are briefly surveyed, starting with Nordström’s (1914) D=5 scalar gravity-electromagnetism unification. 1

Discussions of competitive imbalance use Major League Baseball as a focal point, and proposed remedies center on redistributions of revenues from well-heeled owners to finan-cially strapped franchises. However, there are also many additional aspects in sports that do not involve allocations

stability properties. The approach involves a recursive construction described by a tree with the leafs corresponding to the Tucker decompositions of three-dimensional tensors, and is based on a sequence of SVDs for the recursively obtained unfolding matrices and on the auxiliary dimensions added

program and to the components within that perspective. It is, thus, appropriate to think of dimensions of dimensionality. For example, one dimension or perspective of a program is the projects which perform the program. Within the project dimension, the individual projects are the components

This paper reviews recent work on numerical multiple integration over the d- dimensional unit cube with very large values of d. The work is motivated by the apparent success of recent financial derivative calculations which claim to evaluate such integrals with a small error using only a small number of function evaluations. First, in a periodic setting that is commonly used for the study of lattice rules we show that the number of integration points required to achieve a given worst-case error is at least 2 d for every choice of integration rule. Second, for a setting commonly used to analyse quasi-Monte Carlo algorithms (namely the L 2 version of the KoksmaHlawka inequality) it is shown that the number of points needed to achieve a given worst case error is again exponential in d for every sequence of quasi-Monte Carlo algorithms. But then it is shown how a modification of the latter setting can eliminate altogether the growth in the number of points with d. The modification invol...

This paper factors out the common denominator underlying these variants: full decoupling of the communicating entities in time, space, and synchronization. We use these three decoupling dimensions to better identify commonalities and divergences with traditional interaction paradigms. The many

better algorithms. The number of underlying objectives is the dimension of the problem, which is of great importance, since it may be a predictor of problem’s difficulty. In this paper, we estimate the number of dimensions for Tic Tac

Abstract: Interdisciplinarity is as trendy as it is difficult to define. We propose three different operationalizations of a discipline and two levels (article or laboratory) of integration of these disciplines. This leads to six indicators of interdisciplinarity, achieving a rich characterization of laboratories publication practices. Thanks to a statistical analysis of these indicators on 600 CNRS laboratories, we suggest that, besides an average value of interdisciplinarity, different laboratories can be distinguished by the “distance ” between the disciplines in which they publish and by the level of interdisciplinary integration (article or laboratory). hal-00785249, version 1- 5 Feb 2013 CNRS is the largest scientific organization in Europe, covering most fields of science. According to its website, “CNRS encourages collaboration between specialists from different disciplines [...] thus opening up new fields of enquiry to meet social and economic needs. CNRS has developed

Dynamical modeling of phase transitions by means of viscoelasticity in many dimensions

Some aspects of the history and impact of the dimension revolution are briefly surveyed, starting with Nordström’s D=5 scalar gravity-electromagnetism unification. 1