The differential impact of several teaching strategies upon the integration of economic concepts into the mathematics curriculum

This investigation focuses upon two major problems. The first problem is to determine what effect the inclusion of economics in the mathematics curriculum will have upon student attitudes toward and understanding and retention of economics and mathematics. The second problem is to determine whether different methods of instruction will result in significantly different levels of student attitudes toward and understanding and retention of economics and mathematics

Intrinsic ergodicity beyond specification: beta-shifts, S-gap shifts, and their factors

We give sufficient conditions for a shift space $(\Sigma,\sigma)$ to be intrinsically ergodic, along with sufficient conditions for every subshift factor of $\Sigma$ to be intrinsically ergodic. As an application, we show that every subshift factor of a $\beta$-shift is intrinsically ergodic, which answers an open question included in Mike Boyle's article "Open problems in symbolic dynamics". We obtain the same result for $S$-gap shifts, and describe an application of our conditions to more general coded systems. One novelty of our approach is the introduction of a new version of the specification property that is well adapted to the study of symbolic spaces with a non-uniform structure.Comment: 27 pages, 1 figure, minor changes based on referee's suggestions, in v.3 the result on coded systems has been moved to the introduction, resulting in small changes to numbering (lettering) of result

Experimental investigation of the dynamics of large-scale circulations in turbulent mixed convection in a rectangular sample

Mixed convection in a rectangular sample shows flow reconfigurations for a certain range of dimensionless numbers. Stereo PIV was conducted in this parameter range for 6 planes near the left sidewall of the sample to investigate the supposed roll generation process. The analysis displays the relation of the flow structure to the changes in the simultaneously recorded temperature distribution. Further investigations include the propagation of flow structures through the considered planes