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> These equations are not equal under usual mathematical and logical definitions of equality applied to equations. They do possibly express the similar relation
by dllthomas 10y ago
> These equations are not equal under usual mathematical and logical definitions of equality applied to equations. They do possibly express the similar relationships between the variables.
Could you elaborate? The second sentence in particular surprises me - don't these necessarily express exactly the same relationship between the variables?
- Ntrails 10y agoI'm not sure he's right at all. I'd define any equation "a" which can be re-arranged to equation "b" to be equal ie. a==b They are the same thing. Thusly y=3x+2 is equal to 10y-20=30x is equal to 5y-15x=10 etc It's been a while since uni, but I don't remember any other mathematical definition of equations being considered equal. I guess the thought is something about what is being defined in terms of what (y= vs x=) but I don't think that's a meaningful distinction between two equations.