Question

How to show that $a^1 \simeq a$ for all $C$-objects $a$ in a cartesian closed category? (only one direction of isomorphism proof is needed)

score 158 · Answer 1 · 2026-03-27 16:48:45

158

Views

How to show that $a^1 \simeq a$ for all $C$-objects $a$ in a cartesian closed category? (only one direction of isomorphism proof is needed)

Published on 27 Mar 2026 - 16:48

score 46 · Answer 2 · 2020-04-16 09:34:38

46

Views

Integrate $e^{-\lvert x-y \rvert}$

Published on 16 Apr 2020 - 9:34

score 458 · Answer 3 · 2026-03-27 12:36:38

458

Views

What is exponentiation in the slice category?

Published on 27 Mar 2026 - 12:36

score 621 · Answer 4 · 2026-03-28 20:14:16

621

Views

$3^n$ does not divide $4^n+5$ for $n\geq 2$

Published on 28 Mar 2026 - 20:14

score 47 · Answer 5 · 2026-03-25 17:41:52

47

Views

A Turan-type inequality :$\Big(a^{(2b)^n}-b^{(2a)^n}\Big)^2\geq \Big(a^{(2b)^{n-1}}-b^{(2a)^{n-1}}\Big)\Big(a^{(2b)^{n+1}}-b^{(2a)^{n+1}}\Big)$

Published on 25 Mar 2026 - 17:41

score 52 · Answer 6 · 2020-04-18 19:42:40

52

Views

Is there a reason, beyond coincidence, that the derivative of x^x is the combination of viewing it as an exponential and as a power?

Published on 18 Apr 2020 - 19:42

score 77 · Answer 7 · 2020-04-19 13:29:57

77

Views

How does $ a^{2^i}a^{2^i} $ become $ a^{2^{i+1}} $?

Published on 19 Apr 2020 - 13:29

score 63 · Answer 8 · 2020-04-19 14:05:13

63

Views

GRE Problem: Square of square root of a negative number

Published on 19 Apr 2020 - 14:05

score 277 · Answer 9 · 2020-04-19 17:27:55

277

Views

Proof of $ \exp(2πi)^{5/6}=\exp(5πi/3)=\exp(-iπ/3)$

Published on 19 Apr 2020 - 17:27

score 43 · Answer 10 · 2026-03-27 16:55:11

43

Views

Algorithm to find the distinct representations of the integer $n$ as a sum of $k$ non-negative p^(th) integer powers.

Published on 27 Mar 2026 - 16:55

score 314 · Answer 11 · 2020-04-21 16:38:01

314

Views

Prove $2^{123}<5^{53}$ without calculator.

Published on 21 Apr 2020 - 16:38

score 23 · Answer 12 · 2026-03-31 11:06:30

23

Views

Does this identity over {0,1} have any relation to logarithms?

Published on 31 Mar 2026 - 11:06

score 87 · Answer 13 · 2026-03-30 06:30:36

87

Views

Why is an absolute value in the answer to this question?

Published on 30 Mar 2026 - 6:30

score 68 · Answer 14 · 2020-04-22 00:39:18

68

Views

How to solve $x^{-2} + x^{-3} = \dfrac{x^3 + x^2}{4x^6}$?

Published on 22 Apr 2020 - 0:39

score 54 · Answer 15 · 2020-04-23 21:43:06

54

Views

How many times larger is $ 8.19\cdot10^{-14} $ than $10^{-19} $

Published on 23 Apr 2020 - 21:43

List Question

How to show that $a^1 \simeq a$ for all $C$-objects $a$ in a cartesian closed category? (only one direction of isomorphism proof is needed)

Integrate $e^{-\lvert x-y \rvert}$

What is exponentiation in the slice category?

$3^n$ does not divide $4^n+5$ for $n\geq 2$

A Turan-type inequality :$\Big(a^{(2b)^n}-b^{(2a)^n}\Big)^2\geq \Big(a^{(2b)^{n-1}}-b^{(2a)^{n-1}}\Big)\Big(a^{(2b)^{n+1}}-b^{(2a)^{n+1}}\Big)$

Is there a reason, beyond coincidence, that the derivative of x^x is the combination of viewing it as an exponential and as a power?

How does $ a^{2^i}a^{2^i} $ become $ a^{2^{i+1}} $?

GRE Problem: Square of square root of a negative number

Proof of $ \exp(2πi)^{5/6}=\exp(5πi/3)=\exp(-iπ/3)$

Algorithm to find the distinct representations of the integer $n$ as a sum of $k$ non-negative p^(th) integer powers.

Prove $2^{123}<5^{53}$ without calculator.

Does this identity over {0,1} have any relation to logarithms?

Why is an absolute value in the answer to this question?

How to solve $x^{-2} + x^{-3} = \dfrac{x^3 + x^2}{4x^6}$?

How many times larger is $ 8.19\cdot10^{-14} $ than $10^{-19} $

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