I can replicate the spelling error by saving the output buffer as text, and then using it as input.
You may want to try M-x describe-coding-system in emacs. Best, John ________________________________ From: Programming <[email protected]> on behalf of Devon McCormick <[email protected]> Sent: Friday, July 19, 2019 10:41 AM To: J-programming forum Subject: [Jprogramming] Program to replicate Ramanujan's methods Fellow Jedi - There's a New Scientist article about some people who open-sourced some code to attempt to accomplish Ramanujan-like discoveries in the area of continued fractions: https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.newscientist.com%2Farticle%2F2209213-computer-attempts-to-replicate-the-dream-like-maths-of-ramanujan%2F&data=02%7C01%7Crandall%40newark.rutgers.edu%7C87d3200dfc94491f33bc08d70c573a82%7Cb92d2b234d35447093ff69aca6632ffe%7C1%7C0%7C636991441095654092&sdata=LtJ0l8lMLCaWlUDJ0I7SQQrBnoRJ566o1XdxrG1i6xQ%3D&reserved=0 . Unfortunately it is paywalled, so I will fair-use a little here: *The theorems Ramanujan produced often involved continued fractions, which express a number as the sum of infinitely nested fractions.* *To mimic this approach, Gal Raayoni at the Israel Institute of Technology and his colleagues created the Ramanujan Machine <https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Farxiv.org%2Fabs%2F1907.00205&data=02%7C01%7Crandall%40newark.rutgers.edu%7C87d3200dfc94491f33bc08d70c573a82%7Cb92d2b234d35447093ff69aca6632ffe%7C1%7C0%7C636991441095654092&sdata=f2uDIHb%2FWTpur9r6cXFtuUzInQy7euSlTuEi9BbWWts%3D&reserved=0>. It has already come up with tens of conjectures that use continued fractions to approximate π and e.* *One method the program uses to search for new conjectures is a “meet in the middle” approach. This involves generating many mathematical expressions, computing their value for a limited number of iterations and eliminating the expressions that give inaccurate results.* Anyway, the formula for *e* they show in the article renders into J this way: calcRamalikeE=: 13 : '(+`%)/,x:(3+i.y),.->:i.y'"0 calcRamalikeE ([: +`%`:3 [: , [: x: (3 + i.) ,. [: - [: >: i.)"0 calcRamalikeE 10 20 9864101r3628800 6613313319248080001r2432902008176640000 >50j48":&.>calcRamalikeE 10 20 2.718281801146384479717813051146384479717813051146 2.718281828459045235339784490666415886146403434540 All fine and good but when I tried to replicate this from memory at home tonight, I kept getting a "spelling error" on the "(+`%)" part. Eventually I figured out that what I'm typing in is rendering in Unicode and is failing a spelling test. I'm running J64 8.07, Library 8.07.26, and, as always, under Emacs on Windows. I'm afraid it may just be an Emacs thing as I had saved the problematic session as "raw-text" earlier but I'd be pleased to hear from anyone who could replicate or explain this or, even better, make sure it never happens to anyone else ever again. Thanks, Devon -- Devon McCormick, CFA Quantitative Consultant ---------------------------------------------------------------------- For information about J forums see https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.jsoftware.com%2Fforums.htm&data=02%7C01%7Crandall%40newark.rutgers.edu%7C87d3200dfc94491f33bc08d70c573a82%7Cb92d2b234d35447093ff69aca6632ffe%7C1%7C0%7C636991441095654092&sdata=mDmvYIur9Wu7LV2jcGWcpkJVp20fq3%2BHqj0OPMRqd7E%3D&reserved=0 ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
