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    12/7/2006

    拓朴学的应用

    Making Sense Of Sensors: The Mathematics Of Detecting Intruders

    大三的时候曾经自作聪明地去数学系听了一个学期的拓朴,因为据说拓朴是最没有用的数学。这个闭门造车的学科果然是没有用处,之后就再也没有听说过这个名词,以至刚才拼的时候还犹豫了很久是哪个”朴“……现在居然有聪明人把它用到了国防科技:

    Suppose you have a network of sensors, each with a unique ID, scattered around a two-dimensional domain D---for example, D could be a region of forest, an open field, or a portion of the ocean floor. The sensors have a "broadcast radius", within which they can detect the identity of any other sensor, and a "cover radius", within which the sensors perform their sensing tasks. You can think of each sensor as surrounded by a disk whose radius is the coverage radius. The union of these disks is the "sensor cover". A basic question is, Does the sensor cover contain D?
    这个问题据说可以用同调群来解决,有兴趣的请自个儿琢磨吧,我反正是不懂的。

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    Picture of Anonymous
    太陽の西 wrote:
    多谢bono同学指出,“拓扑”才是正确的写法……果然还是错了
    Dec. 8

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