Hi, I have the follow question: Construct a function such that , are a partition of unity subordinated to the cover of . Thanks!!
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Originally Posted by yemino Hi, I have the follow question: Construct a function such that , are a partition of unity subordinated to the cover of . The standard example of such a function is
Thanks Opalg, but, how can I prove that
Originally Posted by yemino how can I prove that The sum is not really an infinite sum. In fact, the support of is the interval [–1,1], so can only be nonzero if |x-m|<1. For a given value of x, this will happen for only two values of m. Therefore .
Thanks.. excelent answer..!! thanks again.
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