Expression 4: StartFraction, 1 Over "N" , EndFraction Start sum from "n" equals 1 to "N" , end sum, cosine left parenthesis, 2 pi "f" left parenthesis, "n" , right parenthesis "x" plus phi left parenthesis, "n" , right parenthesis , right parenthesis1NN∑n=1cos2πfnx+ϕn
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Expression 5: StartFraction, 1 Over "N" , EndFraction Start sum from "n" equals 1 to "N" , end sum, cosine left parenthesis, 2 pi "f" left parenthesis, "n" , right parenthesis "x" , right parenthesis negative 41NN∑n=1cos2πfnx−4
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Expression 6: "N" equals 100N=100
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200200
6
random generator: hash(n)
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Expression 8: "h" left parenthesis, "x" , right parenthesis equals mod left parenthesis, 10 to the 4th power sin left parenthesis, 10 to the 4th power "x" , right parenthesis , 1 , right parenthesishx=mod104sin104x,1