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arXiv 1808.03330math.FAmath.MG
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关于真度量空间中的声测距

On sound ranging in proper metric spaces

Sergij V. Goncharov

摘要:

我们考虑的声音测距,或源定位,问题-找到源点的时刻,当波球的线性,随着时间的推移,增加半径到达传感器点-在适当的度量空间(任何封闭的球是紧凑的),特别是在有限维赋范空间。我们通过迭代过程和停止准则将解逼近到任意精度。

英文摘要:

We consider the sound ranging, or source localization, problem - find the source-point from the moments when the wave-sphere of linearly, with time, increasing radius reaches the sensor-points - in the proper metric spaces (any closed ball is compact) and, in particular, in the finite-dimensional normed spaces. We approximate the solution to arbitrary precision by the iterative process with the stopping criterion.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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