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 Jan24 comment Can a complex number ever be considered 'bigger' or 'smaller' than a real number, or vice versa? I beg to differ : $\mathbb R$ is of infinite dimension as a $\mathbb Q$-vector space. And $\mathbb C$ of dimension $1$ as a $\mathbb C$-vector space. ;) Jan3 awarded Autobiographer Aug8 answered Proof of uniqueness of identity element of addition of vector space Jun24 comment Prove that every irrational numbers can be approximated by rational numbers. If you want to split hairs, it doesn't mean that reals can be approximated by rational, since with this definition they don't live in the same set. You still have to talk about the identification of $ℚ$ with a certain dense set of $ℝ$. Jun16 revised Real sequences which sum to 0, multiply to 1. Just clarifying a point. Jun16 suggested approved edit on Real sequences which sum to 0, multiply to 1. Apr3 revised Prove that if $f$ is differentiable in $\mathbb{R}^n$ then it is continuous. added 494 characters in body Apr3 answered Prove that if $f$ is differentiable in $\mathbb{R}^n$ then it is continuous. Apr3 revised A function $F:\mathbb{Q} \rightarrow \rm numerators$ I now know it used to be the common notation, but it confused the hell out of me at first, and I am probably not the only one Apr3 suggested approved edit on A function $F:\mathbb{Q} \rightarrow \rm numerators$ Mar26 awarded Critic Nov5 awarded Popular Question Jul30 comment Is there such a thing as a removable singularity for a power series on the edge of the convergence disc? @GerryMyerson Ah, is this called “removable singularity”, too? Then I suppose you have it right. There are different word for this and complex analysis singularities in French. Jul30 comment Is there such a thing as a removable singularity for a power series on the edge of the convergence disc? @GerryMyerson Well, I know that, it is the point of this question. What could removable singularity mean in this context? Jul30 awarded Promoter Jul25 asked Is there such a thing as a removable singularity for a power series on the edge of the convergence disc? Jul18 comment Equation holding on dense subset and passing to limit (Hilbert space basis) Is $(⋅,⋅)$ an inner product, or only a couple? Jul17 awarded Talkative Jul17 awarded Citizen Patrol Jul17 accepted Is there a result on the behaviour of power series with positive integer coefficients on their boundary?