Re: Review of Mueckenheims book.

On 7 Mrz., 20:41, "William Hughes" <wpihug...@xxxxxxxxxxx> wrote:
On Mar 7, 2:04 pm, mueck...@xxxxxxxxxxxxxxxxx wrote:


The Waft Maximum is defined as that what the projection does

No. You gave a detailed definition of the Waft Maximum

M: Let F be a sequence. WM(F) is the supremum S(F) of the range of the
M: sequence F = (a_n), if and only if this supremum is taken by the
M: sequence, i.e., if and only if S(F) is n the range of F, ran F =
{a_n
M: | n in N, a_n in R}. In all other cases WM(F) < S(F).

No mention of "that what the projection does".

No mention because this is the definition of "what the projection
does". But if you prefer to say "what the projection does" I will
agree.

So let's test whether you understood the meaning by some exercises:

1) What does the projection do with the sequence of all constructible
real number of the interval [5, 6]?

2) What does the projection do with the sequence of all constructible
real number of the interval [5, 6)?

3) What does the projection do with the sequence of all negative unit
fractions?

4) What does the projection do with all lines of the EIT?

Regards, WM

.

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