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Conference rusure::math

Title:	Mathematics at DEC

Moderator:	RUSURE::EDP

Created:	Mon Feb 03 1986
Last Modified:	Fri Jun 06 1997
Last Successful Update:	Fri Jun 06 1997
Number of topics:	2083
Total number of notes:	14613

469.0. "Classify aX+bY as (ir)rational" by BEING::RABAHY () Tue Apr 08 1986 11:07

Given X and Y are irrational, and a and b are rational; can aX+bY be classified
in general?

A degenerate case; if X=Y then the expression is rational only if a+b=0.

T.R	Title	User	Personal Name	Date	Lines
469.1		ENGINE::ROTH		`Tue Apr 08 1986 20:40`	6
	aX+bY will be rational whenever X is of the form R+bS and Y is of the form R-aS, with R rational, and S irrational. Otherwise, it will be irrational. - Jim
469.2	Which is PI+e?	ALIEN::RABAHY		`Wed Apr 09 1986 09:35`	0
469.3		ERIS::CALLAS	Jon Callas	`Wed Apr 09 1986 17:55`	3
	I believe that is an unsolved problem. Jon