Geometric Reflections: Why Should They Not Be Just a Flip?

2021 ◽  
Vol 114 (1) ◽  
pp. 27-32
Author(s):  
Dawn Teuscher ◽  
Shannon Dingman ◽  
Travis A. Olson ◽  
Lisa A. Kasmer
Keyword(s):  

Using descriptions from popular textbooks, the authors share the importance of introducing the definition so students can make sense of reflections both on and off the coordinate grid.

2009 ◽  
Vol 45 (2) ◽  
pp. 291-298 ◽  
Author(s):  
P. V. Yasnii ◽  
I. V. Konovalenko ◽  
P. O. Marushchak

2000 ◽  
pp. 163-178
Author(s):  
Jarkko Kauppinen ◽  
Elli Heikkilä ◽  
Jarmo Rusanen ◽  
Arvo Naukkarinen ◽  
Toivo Muilu

The connection between migration and regional structure in Finland in the early 19905 is discussed on the basis of Geographic Irformation Systems (GIS) data from Statistics Finland, compiled for map coordinate grid cells of 1 x 1 km. The results indicate that data of this kind enable a more detailed typology to be drawn up for migration. At the regional level, this allows the defining of places of "passing through '' which gain population from other local government districts but lose population through migration within their own district. The connection between migration and regional structure is manifested in the fact that flows both between and within local government districts mainly involve the more urbanised population centres and areas with: high levels of unemployment.


2002 ◽  
Vol 91 (8) ◽  
pp. 1235
Author(s):  
JAMES W. GRICE
Keyword(s):  

2012 ◽  
Vol 7 (4) ◽  
pp. 49-56
Author(s):  
Evgeny Bekhtenev ◽  
Gennadiy Karpov

A stand for measurements of the electrostatic beam position monitors (BPM) parameters is described. BPM parameters are measured with help of movable antenna modeling the charged-particle beam. Moving of the antenna is performed on two orthogonal directions with help of stepping motors. Full automation facilitates the measurements of BPM coordinate grid with high position resolution. Stand electronics allows BPM parameters measurements with high accuracy. Measurements at the stand performed with BPMs have demonstrated repeatability of the measurements results at level of 10–15 microns what satisfies all requirements to stand. The stand described in the paper was used for quality control of electrostatic BPM production


2013 ◽  
Vol 28 (6) ◽  
pp. 917-921
Author(s):  
李军 LI Jun ◽  
杨晖 YANG Hui ◽  
杨海马 YANG Hai-ma ◽  
胡恒庆 HU Heng-qing ◽  
于向飞 YU Xiang-fei ◽  
...  
Keyword(s):  

Author(s):  
Сергей Васильев ◽  
Sergey Vasilev ◽  
Сергей Машков ◽  
Sergei Mashkov ◽  
Павел Крючин ◽  
...  

The study objective – is the improvement of sampling of the soil by automation of field mapping. High labour and time requirements at all stages of performance study is the shortcoming of existing ways of soil sampling. In particu-lar, field mapping is carried out by both ways either geodetic methods and equipment, or Aerial Survey Cartog-raphy, however in all cases the analysis of data and work allotted to make quads in the field is carried out manually. Manual subjective correction of field mapping results is a disadvantage. The soil sampling way offered allows au-tomating this process, i.e. calculation of coordinates of quads, its entry and sampling points for robotics taking into account a field contour form parameters and a coordinate grid positioning, concentration of sampling points, a traffic route of robotic samplers between these points. The area of the field is divided into quads of correct (square or rec-tangular) or wrong (with the bent borders) forms in regard to this method. These quads are at the same time, cells of the coordinate grid put on the map of the field. Its parameters (a step and an azimuth) are set at the beginning of mapping. Coordinates of sampling points of the soil, on each quad, and a trajectory of their location, are determined taking into account a form of the concrete quad by the offered dependences. The offered way of sampling of the soil envisages the use of a special device for its implementation – the robotic sampler taking into account (in the course of mapping) coordinates estimated prior to the work start and its performance automatically. Field mapping and co-ordinates calculation of all critical points is to be carried out on the basis of the developed mathematical depend-ences and technological schemes automatically, using navigation systems of GLONASS or GPS standards.


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