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Root systems and . . .
, 2008
"... These lecture notes provide an overview of root systems, generalized associahedra, and the combinatorics of clusters. Lectures 12 cover classical material: root systems, finite reflection groups, and the CartanKilling classification. Lectures 3–4 provide an introduction to cluster algebras from a ..."
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These lecture notes provide an overview of root systems, generalized associahedra, and the combinatorics of clusters. Lectures 12 cover classical material: root systems, finite reflection groups, and the CartanKilling classification. Lectures 3–4 provide an introduction to cluster algebras from a
Classification of arithmetic root systems
, 2006
"... Arithmetic root systems are invariants of Nichols algebras of diagonal type with a certain finiteness property. They can also be considered as generalizations of ordinary root systems with rich structure and many new examples. On the other hand, Nichols algebras are fundamental objects in the constr ..."
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Cited by 62 (7 self)
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Arithmetic root systems are invariants of Nichols algebras of diagonal type with a certain finiteness property. They can also be considered as generalizations of ordinary root systems with rich structure and many new examples. On the other hand, Nichols algebras are fundamental objects
Closedform solution of absolute orientation using unit quaternions
 J. Opt. Soc. Am. A
, 1987
"... Finding the relationship between two coordinate systems using pairs of measurements of the coordinates of a number of points in both systems is a classic photogrammetric task. It finds applications in stereophotogrammetry and in robotics. I present here a closedform solution to the leastsquares pr ..."
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Cited by 989 (4 self)
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translational offset is the difference between the centroid of the coordinates in one system and the rotated and scaled centroid of the coordinates in the other system. The best scale is equal to the ratio of the rootmeansquare deviations of the coordinates in the two systems from their respective centroids
Determining Lyapunov Exponents from a Time Series
 Physica
, 1985
"... We present the first algorithms that allow the estimation of nonnegative Lyapunov exponents from an experimental time series. Lyapunov exponents, which provide a qualitative and quantitative characterization of dynamical behavior, are related to the exponentially fast divergence or convergence of n ..."
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Cited by 495 (1 self)
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of nearby orbits in phase space. A system with one or more positive Lyapunov exponents is defined to be chaotic. Our method is rooted conceptually in a previously developed technique that could only be applied to analytically defined model systems: we monitor the longterm growth rate of small volume
Myrinet: A GigabitperSecond Local Area Network
 IEEE Micro
, 1995
"... Abstract. Myrinet is a new type of localarea network (LAN) based on the technology used for packet communication and switching within "massivelyparallel processors " (MPPs). Think of Myrinet as an MPP messagepassing network that can span campus dimensions, rather than as a widea ..."
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Cited by 1011 (0 self)
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such as Ethernet and FDDI, it is helpful to start with Myrinet's genealogy. Myrinet is rooted in the results of two ARPAsponsored research projects, the Caltech Mosaic, an experimental, finegrain multicomputer [1], and the USC Information Sciences Institute (USC/ISI) ATOMIC LAN [2, 3], which was built using
Motivation through the Design of Work: Test of a Theory. Organizational Behavior and Human Performance,
, 1976
"... A model is proposed that specifies the conditions under which individuals will become internally motivated to perform effectively on their jobs. The model focuses on the interaction among three classes of variables: (a) the psychological states of employees that must be present for internally motiv ..."
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Cited by 622 (2 self)
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outcomes associated with routine, repetitive jobs. The theory offers less guidance for the design of work that will elicit and maintain positive and selfreinforcing work motivation. Sociotechnical systems theory. The sociotechnical systems approach to work redesign provides significant insight
Loopy belief propagation for approximate inference: An empirical study. In:
 Proceedings of Uncertainty in AI,
, 1999
"... Abstract Recently, researchers have demonstrated that "loopy belief propagation" the use of Pearl's polytree algorithm in a Bayesian network with loops can perform well in the context of errorcorrecting codes. The most dramatic instance of this is the near Shannonlimit performanc ..."
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Cited by 676 (15 self)
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; state of the root nodes to 0.9, and we utilized the noisyOR model for the other nodes with a small (0.1) inhibition probability (apart from the leak term, which we inhibited with probability 0.9). This param eterization has the effect of propagating 1 's from the top layer to the bottom. Thus
An Efficient Solution to the FivePoint Relative Pose Problem
, 2004
"... An efficient algorithmic solution to the classical fivepoint relative pose problem is presented. The problem is to find the possible solutions for relative camera pose between two calibrated views given five corresponding points. The algorithm consists of computing the coefficients of a tenth degre ..."
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Cited by 484 (13 self)
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degree polynomial in closed form and subsequently finding its roots. It is the first algorithm well suited for numerical implementation that also corresponds to the inherent complexity of the problem. We investigate the numerical precision of the algorithm. We also study its performance under noise
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