The norm of a Ree group

We give an explicit construction of the Ree groups of type $G_2$ as groups acting on mixed Moufang hexagons together with detailed proofs of the basic properties of these groups contained in the two fundamental papers of Tits on this subject. We also give a short proof that the norm of a Ree group is anisotropic

Compact Totally Disconnected Moufang Buildings

Let $\Delta$ be a spherical building each of whose irreducible components is infinite, has rank at least 2 and satisfies the Moufang condition. We show that $\Delta$ can be given the structure of a topological building that is compact and totally disconnected precisely when $\Delta$ is the building at infinity of a locally finite affine building.Comment: To appear in Tohoku Math. Journa

Setting Goals in Different Roles: Applying Key Results From the Goal-Setting Literature

Decades of research have demonstrated that managers can effect substantial performance improvements by setting challenging and specific performance goals (Locke & Latham, 2002), providing goal-relevant feedback on a regular basis (Karakowsky & Mann, 2008), and, when appropriate, involving subordinates in goal setting (Stansfield & Longenecker, 2006). This article reviews core findings from the goal setting literature, and presents a collaborative exercise in which teams of students apply these findings to address management problems in five fictitious scenarios. Debriefing tips cite additional research evidence to allow for more nuanced classroom discussion of goal setting. A pretest indicated that prior to completing the goal-setting exercise, only a minority of students had a strong intuitive sense of how to set effective goals; a posttest following its completion demonstrated substantial improvement. Students rated the exercise as both challenging and effective in improving their knowledge of goal setting

Uses of places and setting preferences in a French Antarctic station

The various uses of space as well as the environmental preferences of wintering people were investigated during 1 year in a French Antarctic station using daily participant observation (for uses of places) and a repeated measure of the perception and evaluation of the settings. The uses of places varied according to occupational and age subgroups: The young scientists expressed a higher need for privacy and a strong investment in their working areas, whereas the technicians preferred the social leisure area (main hall). These places were used as different behavior settings and thus corresponded to flexible environments. Flexibility was a characteristic of all the preferred places. A change in the preferences among the settings and the uses of places was also observed: After midwinter, the preferences evolved from private places to working areas. At the end of the mission, a behavioral change reflecting a stronger need for privacy was also observed

Survival probabilities in the double trapping reaction A +B -> B, B + C -> C

We consider the double trapping reaction A + B -> B, B + C -> C in one dimension. The survival probability of a given A particle is calculated under various conditions on the diffusion constants of the reactants, and on the ratio of initial B and C particle densities. The results are of more general form than those obtained in previous work on the problem.Comment: 5 page

Finite-size effects lead to supercritical bifurcations in turbulent rotating Rayleigh-B\'enard convection

In turbulent thermal convection in cylindrical samples of aspect ratio \Gamma = D/L (D is the diameter and L the height) the Nusselt number Nu is enhanced when the sample is rotated about its vertical axis, because of the formation of Ekman vortices that extract additional fluid out of thermal boundary layers at the top and bottom. We show from experiments and direct numerical simulations that the enhancement occurs only above a bifurcation point at a critical inverse Rossby number 1/\Ro_c, with 1/\Ro_c \propto 1/\Gamma. We present a Ginzburg-Landau like model that explains the existence of a bifurcation at finite 1/\Ro_c as a finite-size effect. The model yields the proportionality between 1/\Ro_c and $1/\Gamma$ and is consistent with several other measured or computed system properties.Comment: 4 pages, 4 figure