List questions from rational-numbers

Published on 06 Apr 2026 - 3:11

45

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Showing a Sequence of Subsets of $\Bbb Q$ Tends to a Dense Subset of $\left[0,\infty\right)$

Published on 17 Apr 2017 - 1:42

108

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A Uniform Mapping From the Irrationals to the Rationals via Vitali

Published on 03 Apr 2026 - 1:54

886

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Proving this function is integrable on [0,1].

Published on 03 Apr 2026 - 14:46

182

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How would I go about proving that for any two real numbers $a,b\in\mathbb{R}$ we may find a both a rational and irrational number between them.

Published on 06 Apr 2026 - 3:12

4.8k

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Direct Proof involving Rational Numbers

Published on 27 Apr 2017 - 22:42

31

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Proving continuity when x is a specified condition

Published on 29 Apr 2017 - 11:18

2.2k

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Confused about incompleteness of rational numbers

Published on 01 May 2017 - 3:05

62

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proof involving rational number

Published on 27 Mar 2026 - 0:00

86

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Find the points of continuity

Published on 06 Apr 2026 - 4:36

36

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Finding 2 rational numbers given an equation

Published on 08 May 2017 - 0:53

4.3k

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Explanation of the topology on Rational Numbers

Published on 08 May 2017 - 10:06

227

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How can $\pi$ be irrational if it can be calculated using an infinite series of rational numbers?

Published on 03 Apr 2026 - 0:10

85

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Proving an absence of rational and integer solutions.

Published on 10 May 2017 - 13:50

1.4k

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Exercise 46, Chapter 1 from Real Analysis, Carothers

Published on 11 May 2017 - 12:12

List Question

Show that $g(x)=rf(x)$ for some rational number $r$

Showing a Sequence of Subsets of $\Bbb Q$ Tends to a Dense Subset of $\left[0,\infty\right)$

A Uniform Mapping From the Irrationals to the Rationals via Vitali

Proving this function is integrable on [0,1].

How would I go about proving that for any two real numbers $a,b\in\mathbb{R}$ we may find a both a rational and irrational number between them.

Direct Proof involving Rational Numbers

Proving continuity when x is a specified condition

Confused about incompleteness of rational numbers

proof involving rational number

Find the points of continuity

Finding 2 rational numbers given an equation

Explanation of the topology on Rational Numbers

How can $\pi$ be irrational if it can be calculated using an infinite series of rational numbers?

Proving an absence of rational and integer solutions.

Exercise 46, Chapter 1 from Real Analysis, Carothers

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