Scientific Computing with Case Studies
نویسنده
چکیده
• Suppose we have a region T ⊂ S and a functionˆT (x) that equals 1 if x ∈ T and 0 otherwise. (a) Use this information to estimate the volume of T. (b) In what way would your estimate improve if you were given 2n points? 2. Consider the following counting problem. Let C(k) be the number of distinct arrangements of k dimers on a particular lattice. We are told that C(20) = 200, and we want to determine C(55). Suppose that we have sampled 6,000,000 arrangements (uniformly among all possible arrangements), counted the number of dimers in each of these arrangements , and stored the counts in a 6,000,000×1 vector called d. Write Matlab statements to estimate C(55).
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تاریخ انتشار 2008