List questions from rational-numbers

Published on 11 Apr 2014 - 0:46

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Rational vs Irrational distribution

Published on 15 Apr 2014 - 10:21

362

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Convergence almost everywhere

Published on 25 Mar 2026 - 9:22

650

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Limit of function defined on the rational numbers

Published on 18 Apr 2014 - 19:25

1.5k

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Do rational and irrational numbers flip-flop?

Published on 19 Apr 2014 - 4:01

5.2k

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Proof by contradiction problem on rational numbers

Published on 21 Apr 2014 - 6:30

225

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Prove $\forall u,v,x,y,z,w \in \mathbf{R}^+, \frac{u}{v} < \frac{x}{y} \wedge \frac{x}{y} < \frac{z}{w} \implies \frac{u + z}{v+w} < \frac{z}{w}$

Published on 24 Apr 2014 - 1:00

139

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Prove that if $y,z \in\Bbb Q$ then $y^z \in\Bbb A$

Published on 24 Apr 2014 - 4:43

4.1k

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Let $a,b \in R$ where $ a < b$. Prove that there exist a rational number $c$ and an irrational number $d$ such that $ a <c<b$ and $ a<d<b$.

Published on 24 Apr 2014 - 8:53

150

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Prove that if $t \in T$ and $q \in Q$, but $q \neq 0$ then $qt \in T$ (where $T$ = transcendental numbers)

Published on 25 Mar 2026 - 21:51

9k

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number between 17 and 18, and has a rational square root

Published on 29 Mar 2026 - 4:48

1.6k

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Is the Nested Radical Constant rational or irrational?

Published on 29 Apr 2014 - 13:26

117

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Rational doubt ( doubt in rational number)

Published on 30 Apr 2014 - 16:17

76

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show that if $|x-\frac{m}{n}| \leq \epsilon$ then $n$ is very large

Published on 04 May 2014 - 6:33

160

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Show that two field extensions are the same

Published on 04 May 2014 - 15:18

List Question

irrational, proving or finding counterexapmle

Rational vs Irrational distribution

Convergence almost everywhere

Limit of function defined on the rational numbers

Do rational and irrational numbers flip-flop?

Proof by contradiction problem on rational numbers

Prove $\forall u,v,x,y,z,w \in \mathbf{R}^+, \frac{u}{v} < \frac{x}{y} \wedge \frac{x}{y} < \frac{z}{w} \implies \frac{u + z}{v+w} < \frac{z}{w}$

Prove that if $y,z \in\Bbb Q$ then $y^z \in\Bbb A$

Let $a,b \in R$ where $ a < b$. Prove that there exist a rational number $c$ and an irrational number $d$ such that $ a <c<b$ and $ a<d<b$.

Prove that if $t \in T$ and $q \in Q$, but $q \neq 0$ then $qt \in T$ (where $T$ = transcendental numbers)

number between 17 and 18, and has a rational square root

Is the Nested Radical Constant rational or irrational?

Rational doubt ( doubt in rational number)

show that if $|x-\frac{m}{n}| \leq \epsilon$ then $n$ is very large

Show that two field extensions are the same

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