Re: Week 8 Notes/HW

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Posted by Terence Tao on May 26, 2003 at 14:05:33:

In Reply to: Week 8 Notes/HW posted by Evan on May 25, 2003 at 14:16:11:

>Throughout the notes and homework, measure (m) is interchanged with
>(Mu), although (Mu) was never introduced as an alternative subscript.

Oops! The reason for that is that in Rudin (and elsewhere),
the symbol mu is generally used to denote any sort of measure
(not necessarily Lebesgue measure). Lebesgue measure is denoted m.

Since this is not a course on measure theory, we will not be discussing general measures - the only measure we care about is
Lebesgue measure m. But there are other measures out there, and in Rudin the theory of measures is considered in greater generality. But I will change the notes to replace all occurrences of mu with m.

Terry

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>>Throughout the notes and homework, measure (m) is interchanged with >>(Mu), although (Mu) was never introduced as an alternative subscript. >Oops! The reason for that is that in Rudin (and elsewhere), >the symbol mu is generally used to denote any sort of measure >(not necessarily Lebesgue measure). Lebesgue measure is denoted m. >Since this is not a course on measure theory, we will not be discussing general measures - the only measure we care about is >Lebesgue measure m. But there are other measures out there, and in Rudin the theory of measures is considered in greater generality. But I will change the notes to replace all occurrences of mu with m. >Terry

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