Question

Question on proving that the rationals are countably infinite

score 28 · Answer 1 · 2018-12-25 11:44:13

28

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Question on proving that the rationals are countably infinite

Published on 25 Dec 2018 - 11:44

score 269 · Answer 2 · 2018-12-31 18:27:41

269

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Recurring Decimal Expansion

Published on 31 Dec 2018 - 18:27

score 227 · Answer 3 · 2026-03-24 20:38:23

227

Views

Proving the Set of Rational Numbers is the collection of equivalence classes of ratios of integers with nonzero denominators.

Published on 24 Mar 2026 - 20:38

score 124 · Answer 4 · 2019-01-07 03:46:54

124

Views

Apostol proof for $\mathbb{Q}$ being countable.

Published on 07 Jan 2019 - 3:46

score 857 · Answer 5 · 2019-01-07 11:08:34

857

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How is it that there are 'gaps' in rational numbers and yet between any two rational numbers, there exists another rational number?

Published on 07 Jan 2019 - 11:08

score 41 · Answer 6 · 2026-03-25 01:29:22

41

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For which x the following sequences converges

Published on 25 Mar 2026 - 1:29

score 516 · Answer 7 · 2019-01-08 10:27:33

516

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Finding irrational entries such that the determinant will never be zero

Published on 08 Jan 2019 - 10:27

score 412 · Answer 8 · 2026-02-23 03:01:19

412

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$\frac{7x+1}2, \frac{7x+2}3, \frac{7x+3}4, \ldots ,\frac{7x+2016}{2017}$ are reduced fractions for integers $x\in(0,301)$.

Published on 23 Feb 2026 - 3:01

score 186 · Answer 9 · 2019-01-10 13:18:38

186

Views

Showing the irreducibility of $x^8 - 60 x^6 + 1160 x^4 - 7800 x^2 + 8836$ in $\mathbb{Q}[x]$

Published on 10 Jan 2019 - 13:18

score 208 · Answer 10 · 2019-01-11 13:58:01

208

Views

Definition of rational numbers from real numbers

Published on 11 Jan 2019 - 13:58

score 275 · Answer 11 · 2019-01-12 10:33:11

275

Views

Real Analysis Inequality Proof Involving Reals and Rationals $0 < |r - q| < \varepsilon$

Published on 12 Jan 2019 - 10:33

score 122 · Answer 12 · 2019-01-12 16:39:03

122

Views

Determine all triples $(m,n,p)$ of positive rational numbers.

Published on 12 Jan 2019 - 16:39

score 550 · Answer 13 · 2019-01-13 17:06:12

550

Views

Find two irrational numbers $x,y$ such that $x+y$ and $xy$ are both rational.

Published on 13 Jan 2019 - 17:06

score 653 · Answer 14 · 2019-01-13 19:53:48

653

Views

Check my proof of 0 < |r - q| < epsilon. (Real # - Rational #)

Published on 13 Jan 2019 - 19:53

score 508 · Answer 15 · 2019-01-14 19:30:11

High-school level proof that if $x_i$ are rationals and $\sqrt{x_1}+\dots\sqrt{x_n}$ is rational, then each $\sqrt{x_i}$ is rational.

List Question

Question on proving that the rationals are countably infinite

Recurring Decimal Expansion

Proving the Set of Rational Numbers is the collection of equivalence classes of ratios of integers with nonzero denominators.

Apostol proof for $\mathbb{Q}$ being countable.

How is it that there are 'gaps' in rational numbers and yet between any two rational numbers, there exists another rational number?

For which x the following sequences converges

Finding irrational entries such that the determinant will never be zero

$\frac{7x+1}2, \frac{7x+2}3, \frac{7x+3}4, \ldots ,\frac{7x+2016}{2017}$ are reduced fractions for integers $x\in(0,301)$.

Showing the irreducibility of $x^8 - 60 x^6 + 1160 x^4 - 7800 x^2 + 8836$ in $\mathbb{Q}[x]$

Definition of rational numbers from real numbers

Real Analysis Inequality Proof Involving Reals and Rationals $0 < |r - q| < \varepsilon$

Determine all triples $(m,n,p)$ of positive rational numbers.

Find two irrational numbers $x,y$ such that $x+y$ and $xy$ are both rational.

Check my proof of 0 < |r - q| < epsilon. (Real # - Rational #)

High-school level proof that if $x_i$ are rationals and $\sqrt{x_1}+\dots\sqrt{x_n}$ is rational, then each $\sqrt{x_i}$ is rational.

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