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19. Fourier Transform - Probability
www.probability.netTutorial 19: Fourier Transform 2 1. Show that for all u2R,themapx! (u;x) is measurable.2. Show that for all u2R,wehave: Z +1 1 j (u;x)jdx= p 2ˇ<+1 and conclude that ˚is well de ned. 3. Let u2R and (u n) n 1 be a sequence in R converging to u. Show that ˚(u n)!˚(u) and conclude that ˚is continuous. 4. Show that: Z +1 0 xe x2=2dx=1 5. Show that for all u2R,wehave: Z
Tutorial 19: Adjective Clauses - College of San Mateo
collegeofsanmateo.edu6 Here, the pronoun being replaced, it, is in the middle of the sentence. It is important to place the adjective clause that begins with the relative pronoun right after the noun that it modifies, in this case, which. You would not simply want to replace it …