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Jun
24
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 $ℝ$.
Jul
30
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.
Jul
30
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?
Jul
18
comment Equation holding on dense subset and passing to limit (Hilbert space basis)
Is $(⋅,⋅)$ an inner product, or only a couple?
Nov
15
comment Fitting a function to a polynomial
The reason behind the fondness for Chebyshev's nodes for Lagrangian interpolation being their property of minimising Runge's phenomenon.
Sep
23
comment Are there Lebesgue-measurable functions non-continuous almost everywhere?
@ArturoMagidin: It would make your answer seem not accurate, and I think I may not be the last to make this mistake.
Sep
23
comment Are there Lebesgue-measurable functions non-continuous almost everywhere?
Just a typo : not a.e. equal...
Sep
23
comment Are there Lebesgue-measurable functions non-continuous almost everywhere?
Ah, well as @kahen said I meant not a.e. equal to a continuous function. I'll post the appropriate question. Good point though :)