My previous diary entry concerned multiplying the sums of squares. Now I try to go the other way, factoring sums of squares. Since this is harder I make little progress, but make an interesting detour to visit the quarter-square multiplier.
Some numbers can be written as the sum of two squares. For example 113=7²+8² and 205=14²+3².
If we multiply 113×205=23165 is the result a sum of squares? Yes, 23165=146²+43², but why? 146 and 43 seem unrelated to any of 3,7,8,14.
Monday April 30th
- thinking about food security (31 comments)
Thursday December 22nd
- To those that give (8 comments)
Thursday November 10th
- In Memoriam (9 comments)
Tuesday August 23rd
- Eight days (30 comments)
Saturday August 13th
- Thoughts on the riots (26 comments)
Monday August 1st
- On the way between there and here. (6 comments)
Wednesday July 6th
- So where was I? (12 comments)
Friday July 1st
- Automatic Asshole Correction (15 comments)
Sunday May 22nd
- We owe it to each other to tell stories. (10 comments)
Monday May 9th
- There was, once. (21 comments)