Question

If $u\in F$ is Transcendental over $K$, $F$ an extension field of $K$, Show every element in $K(u)$ not in $K$ is transcendental over $K$.

score 963 · Answer 1 · 2026-03-15 17:05:51

963

Views

If $u\in F$ is Transcendental over $K$, $F$ an extension field of $K$, Show every element in $K(u)$ not in $K$ is transcendental over $K$.

Published on 15 Mar 2026 - 17:05

score 111 · Answer 2 · 2026-03-17 14:49:58

111

Views

Is the Prouhet-Thue-Morse constant transcendental in any integer base $b>2$?

Published on 17 Mar 2026 - 14:49

score 85 · Answer 3 · 2026-03-17 04:45:51

85

Views

Properties of complex exponentials.

Published on 17 Mar 2026 - 4:45

score 39 · Answer 4 · 2026-03-17 04:22:45

39

Views

For $\epsilon > 0$, is there always $n,m \in \mathbb{N}$ so that $e^{n}$ is $\epsilon$-close to $m$?

Published on 17 Mar 2026 - 4:22

score 127 · Answer 5 · 2026-02-23 06:01:29

127

Views

Algebraic number to Liouville number

Published on 23 Feb 2026 - 6:01

score 285 · Answer 6 · 2026-03-16 17:53:18

285

Views

Irrationality of 0.123456789101112 ... and similar numbers

Published on 16 Mar 2026 - 17:53

score 90 · Answer 7 · 2026-03-17 11:31:15

90

Views

Rainbow numbers: Can mapping digits to different bases produce different varieties of irrationality?

Published on 17 Mar 2026 - 11:31

score 94 · Answer 8 · 2026-03-25 14:41:04

94

Views

Density of power of some transcendental number

Published on 25 Mar 2026 - 14:41

score 101 · Answer 9 · 2026-03-16 16:18:53

101

Views

Transcendental in the infinite limit, rational otherwise

Published on 16 Mar 2026 - 16:18

score 292 · Answer 10 · 2026-03-16 19:36:06

292

Views

Suppose $\ \pi+e\ $ is transcendental. What about $\ \pi-e\ $?

Published on 16 Mar 2026 - 19:36

score 116 · Answer 11 · 2026-02-23 06:00:21

116

Views

Is this number Liouville?

Published on 23 Feb 2026 - 6:00

score 44 · Answer 12 · 2026-03-25 11:53:02

44

Views

Question about the Gamma function

Published on 25 Mar 2026 - 11:53

score 226 · Answer 13 · 2026-03-16 22:14:40

226

Views

numbers that cannot be expressed in closed form?

Published on 16 Mar 2026 - 22:14

score 182 · Answer 14 · 2026-02-28 11:46:00

182

Views

What reason is there to conjecture that every finite string is really in the decimal expansion of $\pi$?

Published on 28 Feb 2026 - 11:46

score 101 · Answer 15 · 2026-03-16 20:41:51

101

Views

One to one correspondence between transcendental and uncomputable numbers

Published on 16 Mar 2026 - 20:41

List Question

If $u\in F$ is Transcendental over $K$, $F$ an extension field of $K$, Show every element in $K(u)$ not in $K$ is transcendental over $K$.

Is the Prouhet-Thue-Morse constant transcendental in any integer base $b>2$?

Properties of complex exponentials.

For $\epsilon > 0$, is there always $n,m \in \mathbb{N}$ so that $e^{n}$ is $\epsilon$-close to $m$?

Algebraic number to Liouville number

Irrationality of 0.123456789101112 ... and similar numbers

Rainbow numbers: Can mapping digits to different bases produce different varieties of irrationality?

Density of power of some transcendental number

Transcendental in the infinite limit, rational otherwise

Suppose $\ \pi+e\ $ is transcendental. What about $\ \pi-e\ $?

Is this number Liouville?

Question about the Gamma function

numbers that cannot be expressed in closed form?

What reason is there to conjecture that every finite string is really in the decimal expansion of $\pi$?

One to one correspondence between transcendental and uncomputable numbers

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