Abhijith
Reputation
Next privilege 250 Rep.
 Oct 29 awarded Popular Question Oct 22 awarded Tumbleweed Oct 10 awarded Commentator Sep 24 awarded Autobiographer Jul 2 awarded Curious Mar 16 accepted Consistent but apparently unsolvable system of equations Mar 16 comment Consistent but apparently unsolvable system of equations Thanks. I think your edit provided the necessary clarification. Mar 16 comment Consistent but apparently unsolvable system of equations Ah, makes sense. The text talked about infinite number of solutions for a system, but had presented no example and I was wondering how such a system would look like. Specifically, in this case, the infinite number of solutions is only when $h = 12$ right? The system has a unique solution if $h \neq 12$. Mar 16 revised Consistent but apparently unsolvable system of equations fixed typo Mar 16 asked Consistent but apparently unsolvable system of equations Jan 5 accepted Solving linear homogenuous recurrence relation Jan 4 revised Solving linear homogenuous recurrence relation added 150 characters in body Jan 4 comment Solving linear homogenuous recurrence relation I meant to ask why does the author add the two individual solutions($c_12^n$ and $c_2(-3)^n$). Aren't they solutions to the recurrence relations by themselves? Jan 4 asked Solving linear homogenuous recurrence relation Dec 19 accepted Clarifications about the definition of algebraic systems and algebraic structures Dec 19 comment Clarifications about the definition of algebraic systems and algebraic structures @ZhenLin, I've added the exact definitions. Dec 19 awarded Editor Dec 19 revised Clarifications about the definition of algebraic systems and algebraic structures added clarification Dec 19 comment Clarifications about the definition of algebraic systems and algebraic structures @AlexanderGruber, Thanks. I had recently learned about relations and partial orders in particular and was subconsciously expecting the 'structure' to do something similar to imposing an order on the elements of the set. I could not visualize 'structure' as something other than an order until I read the third paragraph of your answer. My question seems so silly now. Also would you consider maybe editing your answer to remove the 1st, 4th and 5th paragraphs before I accept it. I felt that they were not directly relevant to my question. Dec 19 comment Clarifications about the definition of algebraic systems and algebraic structures @AlexanderGruber, So is it correct of me to say that a set of an algebraic structure is different from an ordinary set in that its axioms differentiate certain elements(identity and inverses in groups) and sets rules about how operators behave(closure and associativity in groups)? This differentiation and behaviour specification is what is alluded to by "structure"?