Leonardo

395 reputation

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	395 reputation	bio	website		visits	member for	8 months
9 badges		location			seen	May 10 at 7:32

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Mar 1	accepted	Is this a correct proof for this relation?
Feb 27	accepted	Can we have a matrix whose elements are other matrices as well as other things similar to sets?
Feb 26	revised	Can we have a matrix whose elements are other matrices as well as other things similar to sets? added 310 characters in body
Feb 26	asked	Can we have a matrix whose elements are other matrices as well as other things similar to sets?
Feb 26	revised	Is this a correct proof for this relation? Edit, thanks Mohan
Feb 26	comment	Is this a correct proof for this relation? @Mohan Nice, I should add that and then I think it is a complete proof. So the part by contradiction is good enough for anti-symmetry?
Feb 26	comment	Is this a correct proof for this relation? @Mohan It seemed like my proof for transitivity and antisymmetry was so similar that I stuck them together. Can I separate them and say something like "similarly R is transitive?"
Feb 26	comment	Is this a correct proof for this relation? @dtldarek Thanks for the advice, it seems to be fairly clear now thanks to Stahl's edit.
Feb 26	reviewed	Approve suggested edit on Is this a correct proof for this relation?
Feb 26	comment	Is this a correct proof for this relation? @Jim I was actually just using that, and that is where I found \lightning but alas it did not work.
Feb 26	comment	Is this a correct proof for this relation? @Jim Thanks, I also cant find a good contradiction symbol.
Feb 26	asked	Is this a correct proof for this relation?
Feb 26	accepted	Is the relation on the positive integers defined by $(x,y) \in R$ if $x = y^2$ only antisymmetric?
Feb 26	comment	Is the relation on the positive integers defined by $(x,y) \in R$ if $x = y^2$ only antisymmetric? @ThomasAndrews Ah thanks, I don't know why I am having trouble thinking such a simple example! Probably just in the mind-set that $y = x$ is the law of the land for some reason.
Feb 26	comment	Is the relation on the positive integers defined by $(x,y) \in R$ if $x = y^2$ only antisymmetric? @ThomasAndrews Wait, what elements? I need an example please. You are saying that there is a pair for $x, y \in \mathbb{Z}^+$ s.t. $x = y^2$ and $(x,y) \neq (1,1)$ ?
Feb 26	comment	Is the relation on the positive integers defined by $(x,y) \in R$ if $x = y^2$ only antisymmetric? Ah I see where I have been mistaken now, it is for all $x,y \in X$ not $(x,y) \in R$, that was bad mistake! I understand it now.
Feb 26	comment	Is the relation on the positive integers defined by $(x,y) \in R$ if $x = y^2$ only antisymmetric? @ThomasAndrews It is defined on the positive integers. We can use $x = 1$ and $y = 1$ if we want.
Feb 26	comment	Is the relation on the positive integers defined by $(x,y) \in R$ if $x = y^2$ only antisymmetric? I think I see what you mean, because I was looking at it as 1 related to 1 as the only member in the relation. But you are looking at it from the perspective of the rule. Unfortunately in my opinion since 1 is the only number that I can think of besides 0 which equals its square, $x = y^2$ and $y = z^2$ does indeed imply that $x = z^2$ since 1 is still the only option for $x, y,$ and $z$. I can not think of a counter-example to transitivity or symmetry.
Feb 26	asked	Is the relation on the positive integers defined by $(x,y) \in R$ if $x = y^2$ only antisymmetric?
Feb 23	comment	Does there exist any elements which I can add to a Relation such that the Relation remains Sym/Anti, Trans, and Reflexive? Right now I am introducing "rules" that define the relation, along with the ability to randomly generate a relation with specified attributes.