Chapter 2.7, Problem 3DQ

How does a fourier transform works?

Prove that (1) Σσς (α) μ(η/α) = n d/n (ii) Σσς(d) = η Σσο(α)/d d❘n d❘n (iii) σ (d) σ (n/d) = Σ d³oo(d) σo(n/d). d|n dn

II Consider the following data matrix X: X1 X2 0.5 0.4 0.2 0.5 0.5 0.5 10.3 10 10.1 10.4 10.1 10.5 What will the resulting clusters be when using the k-Means method with k = 2. In your own words, explain why this result is indeed expected, i.e. why this clustering minimises the ESS map.

X Acellus | Student admin192c.acellus.com go 0:0 Hannah wants to have concrete stairs for her backdoor. How much concrete will be needed to build the stairs? 20 cm 70 cm 30 cm 15 cm 10 cm 45 cm cm 70 cm GIF 自 لا

why the answer is 3 and 10?

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PS 9 Two films are shown on screen A and screen B at a cinema each evening. The numbers of people viewing the films on 12 consecutive evenings are shown in the back-to-back stem-and-leaf diagram. Screen A (12) Screen B (12) 8 037 34 7 6 4 0 534 74 1645678 92 71689 Key: 116|4 represents 61 viewers for A and 64 viewers for B A second stem-and-leaf diagram (with rows of the same width as the previous diagram) is drawn showing the total number of people viewing films at the cinema on each of these 12 evenings. Find the least and greatest possible number of rows that this second diagram could have. TIP On the evening when 30 people viewed films on screen A, there could have been as few as 37 or as many as 79 people viewing films on screen B.

skip A swimming pool plan has concrete stairs leading down into the shallow end How much concrete will be needed to build the stairs? Bift 9 ft 2 ft 1 ft 9 ft 2 ft 5 ft [ ? ] ft³

how to do part b,c