List questions from number-comparison

Published on 02 Jan 2021 - 17:33

249

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Here is another "$e$-$\pi$-without -calculating" comparison

Published on 23 Feb 2026 - 17:21

24

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Minimal number of comparisons to determine larger set

Published on 25 Feb 2021 - 20:52

2k

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Prove $7^{71}>75^{32}$

Published on 12 Mar 2021 - 6:44

29

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Finding a faulty value in a dataset

Published on 14 Mar 2021 - 16:56

113

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Comparing powers of 13 and 19

Published on 01 Apr 2021 - 14:24

112

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In which of the intervals is $\sqrt{12}$

Published on 03 Apr 2021 - 7:41

76

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Represent $x_1=\frac{1-\sqrt{37}}{3}$ and $x_2=\frac{1+\sqrt{37}}{3}$ on a number line

Published on 04 Apr 2021 - 14:16

99

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Compare $\sqrt{6}-\sqrt{3}$ and $\sqrt{3}-\sqrt{2}$

Published on 04 Apr 2021 - 16:58

70

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Can we give a precise definition to say "$b$ is $m$- times greater than $a$?"

Published on 15 Apr 2021 - 10:54

203

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Problem about convergent series

Published on 10 May 2021 - 12:34

31

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Comparison of two constants of a general form

Published on 18 May 2021 - 14:15

131

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How to show properly $ 10n^4 + 3n^3 -n \in O(n^4)$?

Published on 20 May 2021 - 15:09

203

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Comparing numbers of the form $c+\sqrt{b}$ (eg, $3+3\sqrt{3}$ and $4+2\sqrt{5}$) without a calculator

Published on 23 Jun 2021 - 6:32

154

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Prove $\sqrt[3]{4} - \sqrt[3]{3} < \sqrt[3]{3} - \sqrt[3]{2}$

Published on 01 Jul 2021 - 16:54

List Question

Prove that $e^{\frac{x+y}{2}} \le \frac{e^x + e^y}{2}$

Here is another "$e$-$\pi$-without -calculating" comparison

Minimal number of comparisons to determine larger set

Prove $7^{71}>75^{32}$

Finding a faulty value in a dataset

Comparing powers of 13 and 19

In which of the intervals is $\sqrt{12}$

Represent $x_1=\frac{1-\sqrt{37}}{3}$ and $x_2=\frac{1+\sqrt{37}}{3}$ on a number line

Compare $\sqrt{6}-\sqrt{3}$ and $\sqrt{3}-\sqrt{2}$

Can we give a precise definition to say "$b$ is $m$- times greater than $a$?"

Problem about convergent series

Comparison of two constants of a general form

How to show properly $ 10n^4 + 3n^3 -n \in O(n^4)$?

Comparing numbers of the form $c+\sqrt{b}$ (eg, $3+3\sqrt{3}$ and $4+2\sqrt{5}$) without a calculator

Prove $\sqrt[3]{4} - \sqrt[3]{3} < \sqrt[3]{3} - \sqrt[3]{2}$

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