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Questions Tagged with "real numbers"

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The topology generated by open intervals of rational numbers

1 answer

Mathematics Asked 2 years ago by roslavets

Where is the copy of $mathbb{N}$ in the constructible hierarchy relative to a real closed field?

1 answer

Mathematics Asked 2 years ago

How to prove that $(a^m)^n=a^{mn}$ where $a,m,n$ are real numbers and a>0?

3 answer

Mathematics Asked 2 years ago by Orlin Aurum

Proving that $f + g, f cdot g$, and $f/g$ are continuous using neighborhoods

1 answer

Mathematics Asked 2 years ago

Proving that $(0,1)$ is uncountable

2 answer

Mathematics Asked 2 years ago by Henry Brown

What is the intersection of inductive definable subsets of a real closed field?

2 answer

Mathematics Asked 2 years ago

Let$A$ be an open, dense set in $mathbb R^n$. Prove that $A + A = mathbb R^n$

1 answer

Mathematics Asked 3 years ago by Francisco José Letterio

Is it true that $prod_{i=1}^nleft(3 + frac{1}{3i}right) < left(3 + frac{1}{n}right)^n$?

2 answer

Mathematics Asked 3 years ago by Larry Freeman

For $a,binmathbb{R}$, there is an integer within $|{a} - {b}|$ from $|a-b|.$

1 answer

Mathematics Asked 3 years ago by MathGeek

Why we cannot extend real numbers with dedekind cuts?

1 answer

Mathematics Asked 3 years ago by thisguy

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