| bio | website | |
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| location | ||
| age | ||
| visits | member for | 1 year, 11 months |
| seen | Jul 31 '11 at 18:34 | |
| stats | profile views | 35 |
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Jan 15 |
awarded | Popular Question |
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Aug 3 |
awarded | Nice Question |
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Jul 7 |
awarded | Popular Question |
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Jun 9 |
awarded | Yearling |
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Jul 31 |
awarded | Nice Question |
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Jul 31 |
comment |
Proving that $(b_n) \to b$ implies $\left(\frac{1}{b_n}\right) \to \frac{1}{b}$ This makes sense, thank you. You are right, picking a smaller epsilon actually leads me closer to the sequence, I missed that at first. Thanks again! |
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Jul 31 |
accepted | Proving that $(b_n) \to b$ implies $\left(\frac{1}{b_n}\right) \to \frac{1}{b}$ |
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Jul 31 |
revised |
Proving that $(b_n) \to b$ implies $\left(\frac{1}{b_n}\right) \to \frac{1}{b}$ added 1 characters in body |
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Jul 31 |
asked | Proving that $(b_n) \to b$ implies $\left(\frac{1}{b_n}\right) \to \frac{1}{b}$ |
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Jul 28 |
awarded | Nice Question |
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Jul 12 |
comment |
What is the set of all functions from $\{0, 1\}$ to $\mathbb{N}$ equinumerous to? @Asaf: Thanks for the link and for your answer. I have been running into the issue of not knowing which answer to accept on numerous occasions now (I feel like more than half of them deserve being accepted, if not all), and I certainly haven't been giving them that much time... I will do better next time. |
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Jul 12 |
accepted | What is the set of all functions from $\{0, 1\}$ to $\mathbb{N}$ equinumerous to? |
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Jul 12 |
comment |
What is the set of all functions from $\{0, 1\}$ to $\mathbb{N}$ equinumerous to? Bruno, since I can't use cardinal arithmetic, I don't think I am allowed to make the step of $|\{\text{functions } \{0,1\} \to \mathbb{N} \}|= |\mathbb{N}^{\{0,1\}}|= |\mathbb{N}^2|$, I think I just don't "know" this is true. OHH nevermind, I see your update, I think it makes sense now! Thanks |
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Jul 12 |
comment |
What is the set of all functions from $\{0, 1\}$ to $\mathbb{N}$ equinumerous to? Thanks, but I don't think I can use any cardinal arithmetic, just general wit... I have proved than $\mathbb{N}^2$ is equinumerous to $\mathbb{N}$ before, it's a question of getting to $\mathbb{N}^2$ w/o cardinal arithmetic here, I guess. |
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Jul 12 |
asked | What is the set of all functions from $\{0, 1\}$ to $\mathbb{N}$ equinumerous to? |
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Jul 11 |
accepted | Proving the countability of algebraic numbers |
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Jul 10 |
asked | Proving the countability of algebraic numbers |
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Jul 8 |
comment |
How to show that $\sqrt{2}+\sqrt{3}$ is algebraic? An amazing answer Amitesh, thank you. One question, what do you mean when you say "Over Q?" I don't know what people mean when in math they say "bla bla bla over R/Q/etc." especially when talking about fields. Does it mean we take the coefficients of the polynomials be only rational numbers? Thanks! |
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Jul 8 |
accepted | How to show that $\sqrt{2}+\sqrt{3}$ is algebraic? |
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Jul 8 |
revised |
How to show that $\sqrt{2}+\sqrt{3}$ is algebraic? added 165 characters in body |