MATHEMATICAL OPERATIONS USED IN ORDINARY OCCUPATIONS AND SUGGESTIONS FOR INCORPORATING THEM IN HIGH-SCHOOL MATHEMATICS

The purpose of this study is to determine the type problems in algebra, geometry, and general mathematics that are most frequently used by high school graduates. The applicability of these mathematical operations to ordinary problems of daily life is to be decided by means of a survey among high school graduates who have had courses in algebra and geometry. An enumeration and analysis of the type problems that are most used by these graduates will give a much better conception of what should be taught in a general mathematics course. This investigation proposes to apply the criterion of usability in the determination of what type problems are best suited to a general mathematics course for secondary schools

Bevalac calibration of the SOFIE range and hodoscope detectors

The scintillating optical fiber isotope experiment (SOFIE) is a Cerenkov-dE/dx-Range experiment which was developed initially for balloon flight to study the isotopic composition of cosmic rays in the iron region. The electronic range and hodoscope detectors use scintillating optical fibers to image the tracks of stopping charged particles and to determine their trajectory. The particle range is determined and used together with a Cerenkov measurement to determine the mass of the stopping particle. Preliminary results of a Bevalac calibration performed in August, 1984 with a prototype of the balloon flight instrument, to study the measurement precision in range and trajectory which could be attained with this detector are described

Time-frequency analysis of ship wave patterns in shallow water: modelling and experiments

A spectrogram of a ship wake is a heat map that visualises the time-dependent frequency spectrum of surface height measurements taken at a single point as the ship travels by. Spectrograms are easy to compute and, if properly interpreted, have the potential to provide crucial information about various properties of the ship in question. Here we use geometrical arguments and analysis of an idealised mathematical model to identify features of spectrograms, concentrating on the effects of a finite-depth channel. Our results depend heavily on whether the flow regime is subcritical or supercritical. To support our theoretical predictions, we compare with data taken from experiments we conducted in a model test basin using a variety of realistic ship hulls. Finally, we note that vessels with a high aspect ratio appear to produce spectrogram data that contains periodic patterns. We can reproduce this behaviour in our mathematical model by using a so-called two-point wavemaker. These results highlight the role of wave interference effects in spectrograms of ship wakes.Comment: 14 pages, 7 figure

Observation of VH and VVH cosmic rays with an ionization-Cerenkov detector system

Heavy and ultraheavy nuclei observations of cosmic rays using ionization chamber-Cerenkov counter syste

Large area pulse ionization chamber for measurement of extremely heavy cosmic rays

Parallel plate ionization chamber for identifying relativistic cosmic ray nucle

The Isotopic Composition of Cosmic Ray Nuclei Beyond the Iron Peak

Isotope measurements of cosmic ray nuclei beyond the Fe peak are considered, using the charge region from Z=29 to Z∼40 as an example. Such studies can address a number of important questions that bear on cosmic ray origin, acceleration, and propagation. One possible approach for measuring isotopes with Z≥30 is based on large‐area arrays of silicon solid state detectors combined with scintillating optical fiber trajectory detectors optical fiber trajectory detectors

The SUPERTIGER Instrument: Measurement of Elemental Abundances of Ultra-Heavy Galactic Cosmic Rays

The SuperTIGER (Super Trans-Iron Galactic Element Recorder) instrument was developed to measure the abundances of galactic cosmic-ray elements from _(10)Ne to _(40)Zr with individual element resolution and the high statistics needed to test models of cosmic-ray origins. SuperTIGER also makes exploratory measurements of the abundances of elements with 40 29 and ∼60 with Z >49. Here, we describe the instrument, the methods of charge identification employed, the SuperTIGER balloon flight, and the instrument performance