Question

Is this a correct way to extend the definition of super-logarithms?

score 253 · Answer 1 · 2017-02-10 07:49:08

253

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Is this a correct way to extend the definition of super-logarithms?

Published on 10 Feb 2017 - 7:49

score 78 · Answer 2 · 2017-02-20 21:00:32

78

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Prove that if $a=\,^xx$, for $x>2$, where $2\,|\,x$ and $10\nmid x$, the last digit of $a$ is $6$.

Published on 20 Feb 2017 - 21:00

score 134 · Answer 3 · 2017-02-25 17:49:25

134

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Weird result regarding "infinitely explosive" differential equations

Published on 25 Feb 2017 - 17:49

score 171 · Answer 4 · 2017-02-27 07:44:21

171

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How can I define a function that raises a number to the power of itself a given number of times?

Published on 27 Feb 2017 - 7:44

score 465 · Answer 5 · 2017-03-07 14:51:55

465

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Can any number of factorials overtake the tetration function ${^x}10$?

Published on 07 Mar 2017 - 14:51

score 298 · Answer 6 · 2026-03-25 09:16:19

298

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Does domination of exponential-factorial by tetration generalize to higher-order hyperoperations?

Published on 25 Mar 2026 - 9:16

score 350 · Answer 7 · 2026-03-25 13:59:48

350

Views

What is the derivative of a super square root?

Published on 25 Mar 2026 - 13:59

score 6.2k · Answer 8 · 2017-03-16 17:15:28

6.2k

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How do you calculate $ 2^{2^{2^{2^{2}}}} $?

Published on 16 Mar 2017 - 17:15

score 9.4k · Answer 9 · 2026-03-25 14:00:39

9.4k

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How exactly does Knuth's Up-Arrow notation work?

Published on 25 Mar 2026 - 14:00

score 152 · Answer 10 · 2023-01-31 21:26:38

152

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Branch of mathematics that deals with repeated operations

Published on 31 Jan 2023 - 21:26

score 244 · Answer 11 · 2023-02-12 15:33:16

244

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$\int f^{-1}(\frac{1}{x}) dx $, where $f^{-1}$ is inverse function.

Published on 12 Feb 2023 - 15:33

score 56 · Answer 12 · 2023-02-14 22:14:51

56

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$\int_{0}^{1}x^{x^{\alpha}} dx$ for negative $\alpha$

Published on 14 Feb 2023 - 22:14

score 147 · Answer 13 · 2023-02-16 21:39:26

147

Views

Infinite tetration of $(-1)$?

Published on 16 Feb 2023 - 21:39

score 96 · Answer 14 · 2023-02-26 17:54:28

96

Views

Sign of $n$ th derivative of $f(x)$?

Published on 26 Feb 2023 - 17:54

score 278 · Answer 15 · 2026-03-25 13:59:46

278

Views

How to use $\uparrow$ to define an explicit bijective mapping $f:\varepsilon_{1}\rightarrow\mathbb{N}$?

Published on 25 Mar 2026 - 13:59

List Question

Is this a correct way to extend the definition of super-logarithms?

Prove that if $a=\,^xx$, for $x>2$, where $2\,|\,x$ and $10\nmid x$, the last digit of $a$ is $6$.

Weird result regarding "infinitely explosive" differential equations

How can I define a function that raises a number to the power of itself a given number of times?

Can any number of factorials overtake the tetration function ${^x}10$?

Does domination of exponential-factorial by tetration generalize to higher-order hyperoperations?

What is the derivative of a super square root?

How do you calculate $ 2^{2^{2^{2^{2}}}} $?

How exactly does Knuth's Up-Arrow notation work?

Branch of mathematics that deals with repeated operations

$\int f^{-1}(\frac{1}{x}) dx $, where $f^{-1}$ is inverse function.

$\int_{0}^{1}x^{x^{\alpha}} dx$ for negative $\alpha$

Infinite tetration of $(-1)$?

Sign of $n$ th derivative of $f(x)$?

How to use $\uparrow$ to define an explicit bijective mapping $f:\varepsilon_{1}\rightarrow\mathbb{N}$?

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