Numerade

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During takeoff, the sound intensity level of a jet engine is 170 dB at a distance of 20 m .What is the sound intensity level at a distance of 1.0 km ?

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Suppose K = R. Let T ∈ End(V) be a rank-one self-adjoint operator, i.e. rank(T) = 1 and T = T*. Prove that T = αE where α ∈ R is a non-zero scalar and E is an orthogonal projection.

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Problem 4 (15 pts) Suppose in the distributed system, we have 7 independent jobs $\{J1, J2, J3, J4, J5, J6, J7\}$ and 3 machines $\{M1, M2, M3\}$. The processing ability of machines are the same. The completion time of the 7 jobs are $\{2, 14, 4, 16, 6, 5, 3\}$. How to schedule them so that the entire execution time is the shortest. (1) Please draw the scheduling order on the three machines (2) Please calculate the shortest time of the entire execution (in other words, how long does it take run the 7 jobs on the 3 machines) (Reference paper: Omega: flexible, scalable schedulers for large compute clusters; Large-scale cluster management at Google with Borg) Answer: Examples:

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Exercise 2 [5 points]. Derive the $ K $-th largest direction of variance in principal component analysis (PCA).

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In the production model from the text, which of the following is NOT an exogenous variable or a parameter? The supply of capital The supply of labor The amount of output The productivity parameter

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Discuss at least three reported and registered cases in Tanzania that involved digital forensics in their legal process. Explain the process of digital forensic analysis conducted in each case and provide an overview of the judgements rendered.

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Describe the process by which sounds are created, as well as how they travel through a medium (e.g., air). (4 marks). (b) How does this process create the psychological properties of sound (i.e., pitch and loudness). (2 marks)

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4. What is a deliverable? Name two uses for deliverables.

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Exercise Modify the code below to print 0-9 on a single line. Keyword exercise 1 for i in range(10): 2 print(i) 3 print()

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What is competitive authoritarianism? It is an authoritarian regime in which there are people competing to be dictator It is another term for a representative democracy It is an authoritarian regime that pretends to be a representative democracy It is when an authoritarian candidate competes in democratic elections

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marc i.