Question

$E$ and $E^c$ dense in $\mathbb{R}$ with measure $>0$

score 91 · Answer 1 · 2026-05-05 05:21:51

91

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$E$ and $E^c$ dense in $\mathbb{R}$ with measure $>0$

Published on 05 May 2026 - 5:21

score 670 · Answer 2 · 2026-05-05 05:21:47

670

Views

$n$-dimensional integer space? Or $\{ \mathbf{x} \in \mathbb{R}^n | x_1, x_2, ..., x_n \in \mathbb{Z} \}$?

Published on 05 May 2026 - 5:21

score 89 · Answer 3 · 2026-05-05 05:21:41

89

Views

Are these two mathematical objects the same from a practical standpoint, or literally identical mathematical objects?

Published on 05 May 2026 - 5:21

score 3.5k · Answer 4 · 2026-05-05 05:21:50

3.5k

Views

Bijection from the irrationals to the reals

Published on 05 May 2026 - 5:21

score 281 · Answer 5 · 2026-05-05 05:24:07

281

Views

Wrong reasoning with $x^{\frac{1}{\infty}}=x^0=1$?

Published on 05 May 2026 - 5:24

score 88 · Answer 6 · 2026-05-05 05:24:07

88

Views

1:1 Matching with Uncountable Sets

Published on 05 May 2026 - 5:24

score 179 · Answer 7 · 2026-05-05 05:21:51

179

Views

Is using the fact that multiplication and addition are closed in an ordered field to prove that there are no "gaps" in the real number line circular?

Published on 05 May 2026 - 5:21

score 32 · Answer 8 · 2026-05-05 05:21:53

32

Views

Query on countability of sets and its subset 1

Published on 05 May 2026 - 5:21

score 81 · Answer 9 · 2026-05-05 05:24:08

81

Views

Ceiling of any Real Number Proof

Published on 05 May 2026 - 5:24

score 330 · Answer 10 · 2026-05-05 05:21:51

330

Views

Which of the following subsets of $\mathbb R^2$ is/are NOT countable?

Published on 05 May 2026 - 5:21

score 723 · Answer 11 · 2026-05-03 04:35:29

723

Views

Example of the property of rational numbers that must be proved using the axioms of real numbers?

Published on 03 May 2026 - 4:35

score 6.7k · Answer 12 · 2026-05-05 05:21:50

6.7k

Views

HCF and LCM of two numbers are same. Find the difference between the two numbers.

Published on 05 May 2026 - 5:21

score 372 · Answer 13 · 2026-05-05 05:24:08

372

Views

Every point of a nonempty open set $S$ belongs to one and only one component interval of $S$

Published on 05 May 2026 - 5:24

score 38 · Answer 14 · 2026-05-05 05:24:08

38

Views

If only the first compatibility condition of an ordered field is satisfied, then can R have other orders?

Published on 05 May 2026 - 5:24

score 62 · Answer 15 · 2026-05-06 05:43:54

62

Views

How to find the values that $x$ can take to be a real number?

Published on 06 May 2026 - 5:43

List Question

$E$ and $E^c$ dense in $\mathbb{R}$ with measure $>0$

$n$-dimensional integer space? Or $\{ \mathbf{x} \in \mathbb{R}^n | x_1, x_2, ..., x_n \in \mathbb{Z} \}$?

Are these two mathematical objects the same from a practical standpoint, or literally identical mathematical objects?

Bijection from the irrationals to the reals

Wrong reasoning with $x^{\frac{1}{\infty}}=x^0=1$?

1:1 Matching with Uncountable Sets

Is using the fact that multiplication and addition are closed in an ordered field to prove that there are no "gaps" in the real number line circular?

Query on countability of sets and its subset 1

Ceiling of any Real Number Proof

Which of the following subsets of $\mathbb R^2$ is/are NOT countable?

Example of the property of rational numbers that must be proved using the axioms of real numbers?

HCF and LCM of two numbers are same. Find the difference between the two numbers.

Every point of a nonempty open set $S$ belongs to one and only one component interval of $S$

If only the first compatibility condition of an ordered field is satisfied, then can R have other orders?

How to find the values that $x$ can take to be a real number?

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