Point Sets Up to Rigid Transformations are Determined by the Distribution of their Pairwise Distances
نویسنده
چکیده
This report is a summary of [BK06], which gives a simpler, albeit less general proof for the result of [BK04].
منابع مشابه
Which Point Configurations are Determined by the Distribution of their Pairwise Distances?
In a previous paper we showed that, for any , most sets of points in are determined (up to rotations, reflections, translations and relabeling of the points) by the distribution of their pairwise distances. But there are some exceptional point configurations which are not reconstructible from the distribution of distances in the above sense. In this paper, we concentrate on the planar case and ...
متن کاملDetermination of virtual point for HPGe detector at various gamma rays energies by simulation and experimental methods
High Purity Germanium detectors (HPGe) are subdivisions of semiconductor detectors which are widely used in nuclear technology from space industry to nuclear medicine, due to their high resolution, low dead time, unlimited size and compatibility with a variety of environments. The( absolute and intrinsic) efficiency of the HPGe detector, which depends on the geometry of the source-detector syst...
متن کاملOperads of higher transformations for globular sets and for higher magmas
In this article we discuss examples of fractal $omega$-operads. Thus we show that there is an $omega$-operadic approach to explain existence of the globular set of globular setsfootnote{Globular sets are also called $omega$-graphs by the French School.}, the reflexive globular set of reflexive globular sets, the $omega$-magma of $omega$-magmas, and also the reflexive $omega$-magma ...
متن کاملTESTING FOR “RANDOMNESS” IN SPATIAL POINT PATTERNS, USING TEST STATISTICS BASED ON ONE-DIMENSIONAL INTER-EVENT DISTANCES
To test for “randomness” in spatial point patterns, we propose two test statistics that are obtained by “reducing” two-dimensional point patterns to the one-dimensional one. Also the exact and asymptotic distribution of these statistics are drawn.
متن کاملA New Method for Considering Distribution Systems in Voltage Stability Studies
In methods presented to calculate the voltage collapse point, the transmission system is usually the only part of the power system that is completely modeled. Distribution systems are often replaced by aggregate load models because the use of the detailed model of distribution systems in voltage stability analysis not only increases the computation time, but also decreases the probability of co...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008