Re: Addition of sequences

In article
<6c6a08cd-b13c-47e5-9bf6-cc992d5ec12e@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
elanamig <elanamig@xxxxxxxxx> wrote:

Is it allowed to add two binary sequences in the following manner?
Both sequences are from i=0 to infinity, and all terms are either 0 or
1.
Seq A = |Si-Ti|/2^i
Seq B = |Ti-Ui|/2^i

Is the following sum valid?
A+B = |Si-Ti+Ti-Ui|/2^i = |Si-Ui|/2^i?

No, take Si = Ui = 1 for all i, Ti = 0 for all i.

I understand about the triangle inequality for the general case. But
are binary sequences a special case?

Thank you,
Elana
.

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