The solution of the vibrational problem in Cartesian displacement coordinates and the use of the eigenvectors in Coriolis and transition moment calculations

The Meal and Polo Coriolis constant formula and the Gribov intensity theory are rested in terms of the eigenvectors of the $\text{(BM}{}^{\mathrm{<mtext>?</mtext><mtext>1</mtext><mtext>2</mtext>}}\text{)}{}^{\mathrm{t}}\text{F(BM}{}^{\mathrm{<mtext>?</mtext><mtext>1</mtext><mtext>2</mtext>}}\text{)}$ matrix. Advantages stem from elimination of L^?1 and G^?1 from the formulations. Some symmetry properties of the Coriolis matrix are discussed.     

Polarographic maxima and solution movements

Solution movements during the existence of polarographic maxima have been made evident by suspending carbon black in the solution. Only upward motion is observed with maxima occurring on the negative side of the electrocapillary zero. Both upward and downward motion occur with positive maxima. Examples are found in which both upward and downward motion occur during the life of a single drop. Upward motion is associated with the early life of the drop during which the rate of surface growth is greater and also with drops having a shorter life time and hence a greater growth rate. For the two ions Fe(CN)₆^-3, and Cu⁺², a critical ratio of concentration to growth rate exists below which upward motion prevails and above which downward motion prevails. The motions and their directions are considered due in part to the negative character of the mercury surface as it leaves the glass capillary, the time interval for the mercury surface to lose its negative orientation, and the attraction of the ions of the solution by the non-uniformly charged surface.     

Measurements of the high energy neutron component of cosmic radiation fields in aircraft using etched track dosemeters

Measurements of the complex cosmic radiation field in aircraft at altitude are made with a passive survey meter comprising routine-use thermoluminescent detectors and etched track detectors. The energy dependence of response of the etched track detectors used to determine the neutron component has been characterized, partly, up to a neutron energy of 180 MeV. The neutron detectors are routinely calibrated in the CERN/EC Reference Field. The 15% determination level for total dose equivalent is 100 microSv. The evidence is that the passive survey meter provides a reliable determination of route dose.     

Using Sociocultural Theory to Teach Mathematics: A Vygotskian Perspective

This study describes an elementary teacher's implementation of sociocultural theory in practice. Communication is central to teaching with a sociocultural approach and to the understanding of students; teachers who use this theory involve students in explaining and justifying their thinking. In this study ethnographic research methods were used to collect data for 4 1/2 months in order to understand the mathematical culture of this fourth‐grade class and to portray how the teacher used a sociocultural approach to teach mathematics. To portray this teaching approach, teaching episodes from the teacher's mathematics lessons are described, and these episodes are analyzed to demonstrate how students created taken‐as‐shared meanings of mathematics. Excerpts from interviews with the teacher are also used to describe this teacher's thinking about her teaching.     

Chaotic behaviour of the map x ↦ ω(x, f)

Let K(2^?) be the class of compact subsets of the Cantor space 2^?, furnished with the Hausdorff metric. Let f ∈ C(2^?). We study the map ω _f : 2 ^? → K(2^?) defined as ω _f (x) = ω(x, f), the ω-limit set of x under f. Unlike the case of n-dimensional manifolds, n ≥ 1, we show that ω _f is continuous for the generic self-map f of the Cantor space, even though the set of functions for which ω _f is everywhere discontinuous on a subsystem is dense in C(2^?). The relationships between the continuity of ω _f and some forms of chaos are investigated.