Expression 5: zeta left parenthesis, "x" , right parenthesis equals left brace, real left parenthesis, "x" , right parenthesis greater than or equal to 1 half : "f" left parenthesis, "x" , right parenthesis , 2 Superscript, "x" , Baseline pi Superscript, "x" minus 1 , Baseline sin left parenthesis, StartFraction, pi "x" Over 2 , EndFraction , right parenthesis Gamma Subscript, 0 , Baseline left parenthesis, negative "x" , right parenthesis "f" left parenthesis, 1 minus "x" , right parenthesis , right braceζx=realx≥12:fx,2xπx−1sinπx2Γ0−xf1−x
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Expression 6: "c" equals hsv left parenthesis, StartFraction, 360 Over tau , EndFraction arg left parenthesis, zeta left parenthesis, "x" plus "y" "i" , right parenthesis , right parenthesis , 1 , 1 , right parenthesisc=hsv360τargζx+yi,1,1
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Expression 7: "z" equals StartAbsoluteValue, zeta left parenthesis, "x" plus "y" "i" , right parenthesis , EndAbsoluteValuez=ζx+yi
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Expression 8: "x" equals 1 halfx=12
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Expression 9: "b" Subscript, "l" "k" , Baseline equals hsv left parenthesis, 0 , 0 , 0 , right parenthesisblk=hsv0,0,0
