Sum of squares

Notes and todo.

- analyzing expenses with the ti 34 (from 1987) I recognized the function "sum of squares" in the stats mode helpful to see if it was a month with a couple of massive expenses (plus many little ones)
- I analyzed , starting from small step, the case of: sum of N variables give a fixed constant. Variables are positive integers (bounded). How can I distribute the constant value among those variables to achieve the maximum value for the squared function?
- from my investigations (informal proof) it seems that the highest squared value is achieved when as much value as possible is given to a single variable.

elaboration on paper to be reorganized, if possible, with notes here (saving pictures is nice, but saving content is better, it allows more changes and processing).

Pictures:
- https://i.imgur.com/LMvt8y5.jpg
- https://i.imgur.com/gSY2lFZ.jpg (to be rotated)
- https://i.imgur.com/pRdsThU.jpg

And discussion
- http://www.hpmuseum.org/forum/thread-9962.html

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