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 Aug 21 comment find $\dim X\times \mathbb{P}^{2}$ What have you tried so far? Isn't $dim(X \times Y)=dim(X)+dim(Y)$? So aren't you really only asking what is $dim(X)$? Aug 21 awarded Commentator Aug 20 comment Why isn't math on the sine of angles the same as math on the angles in degrees? @nbubis In which case linear does not imply additive, see examples above. :) Aug 20 comment Why isn't math on the sine of angles the same as math on the angles in degrees? @nbubis Take care, it's not true for f(x)=1 or f(x)=x+1, as these are "affine" rather than "linear". Aug 13 answered Complete course of self-study Jul 18 awarded Teacher Jul 18 comment Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$ @celtschk haha, ok my bad, what I really meant to say was "how can you say that without doing some kind of calculation". Jul 18 comment Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$ @celtschk I wouldn't say that is any more obvious that the difference of two squares. Jul 18 comment Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$ So you're not using "then $x^3 \neq y^3$ in line 2 at all, this was the confusing bit. I now see what you are trying to say in the last part, well done. Jul 18 answered Evaluating $\lim\limits_{z \to 0} \frac{z\cdot \cos(z)}{\sin(z)}$ Jul 18 answered Example of non-finitely generated $R$-algebra Jul 18 comment Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$ @Exile.90 You are implicitly using the fact the $f(x)=x^3+x$ is increasing, this needs to be demonstrated or at least mentioned. Your argument seems to use $a \neq b$ and $c \neq d$ $\implies$ a+c $\neq$ b+d (which is not true). Jul 18 comment Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$ You're saying that $x=y$ doesn't imply $x^3=y^3$, i.e. cubed isn't function over the complex numbers?? You're wrong. Jul 18 comment Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$ @Brad How would you know that: ( x^2+y^2+xy+1 =/= 0) without doing the difference of two squares calculation? Mar 12 comment Cauchy Sequence that Does Not Converge @Michael surely every sequence can be thought of as a series? Mar 6 awarded Editor Mar 6 revised Find the value of equation? corrected repeated b/c term Mar 6 suggested approved edit on Find the value of equation? Mar 5 awarded Supporter Mar 5 awarded Autobiographer