Question

Why differentiate between irrational and transcedental numbers?

score 260 · Answer 1 · 2026-03-25 15:41:01

260

Views

Why differentiate between irrational and transcedental numbers?

Published on 25 Mar 2026 - 15:41

score 517 · Answer 2 · 2026-05-04 08:52:21

517

Views

Is "indeterminate" a synonym for "variable" or for "transcendent"?

Published on 04 May 2026 - 8:52

score 156 · Answer 3 · 2026-03-25 15:43:47

156

Views

Is there any known transcendental $b$ such that $b^b$ is also transcendental?

Published on 25 Mar 2026 - 15:43

score 94 · Answer 4 · 2026-03-25 15:41:13

94

Views

Is $\Bbb Q[\alpha]$ a field ? where, $\alpha \in \Bbb C$ such that $\alpha + \pi = {\pi}^2 \alpha $

Published on 25 Mar 2026 - 15:41

score 76 · Answer 5 · 2026-03-25 15:47:27

76

Views

Is it possible to solve polynomials with degree larger equal 5 using formulas with transcendental numbers?

Published on 25 Mar 2026 - 15:47

score 50 · Answer 6 · 2026-04-10 04:34:45

50

Views

Interpolating data.

Published on 10 Apr 2026 - 4:34

score 136 · Answer 7 · 2026-04-11 12:07:17

136

Views

Sums and Products of Algebraic and Transcendental numbers

Published on 11 Apr 2026 - 12:07

score 2.7k · Answer 8 · 2026-04-10 21:13:27

2.7k

Views

How to construct a transcendental number

Published on 10 Apr 2026 - 21:13

score 93 · Answer 9 · 2026-03-25 15:42:29

Is there any "supertranscendental" number that doesn't satisfy a "polynomial" equation with algebraic coefficients and exponents?

score 666 · Answer 10 · 2026-03-25 15:39:48

666

Views

Algebraic independence and $\overline{\mathbb{Q}}-$ linear independence

Published on 25 Mar 2026 - 15:39

score 186 · Answer 11 · 2026-03-25 04:37:18

186

Views

Is $e$ transcendental when working with hyperreal numbers?

Published on 25 Mar 2026 - 4:37

score 113 · Answer 12 · 2026-04-23 13:36:14

113

Views

If the Liouville Constant is transcendental, is its exponentiation also transcendental?

Published on 23 Apr 2026 - 13:36

score 75 · Answer 13 · 2026-03-25 15:47:24

75

Views

How do I prove that $ex/\ln(x)$ is the function traced out by the successive functions?

Published on 25 Mar 2026 - 15:47

score 303 · Answer 14 · 2026-03-25 15:41:12

303

Views

Solution of equation in $k$, $\sin k$ and $\cos k$

Published on 25 Mar 2026 - 15:41

score 68 · Answer 15 · 2026-03-25 15:42:23

68

Views

How does Siegel's Lemma and properties of auxiliary functions helps in transcendental/irrationality proofs?

Published on 25 Mar 2026 - 15:42

List Question

Why differentiate between irrational and transcedental numbers?

Is "indeterminate" a synonym for "variable" or for "transcendent"?

Is there any known transcendental $b$ such that $b^b$ is also transcendental?

Is $\Bbb Q[\alpha]$ a field ? where, $\alpha \in \Bbb C$ such that $\alpha + \pi = {\pi}^2 \alpha $

Is it possible to solve polynomials with degree larger equal 5 using formulas with transcendental numbers?

Interpolating data.

Sums and Products of Algebraic and Transcendental numbers

How to construct a transcendental number

Is there any "supertranscendental" number that doesn't satisfy a "polynomial" equation with algebraic coefficients and exponents?

Algebraic independence and $\overline{\mathbb{Q}}-$ linear independence

Is $e$ transcendental when working with hyperreal numbers?

If the Liouville Constant is transcendental, is its exponentiation also transcendental?

How do I prove that $ex/\ln(x)$ is the function traced out by the successive functions?

Solution of equation in $k$, $\sin k$ and $\cos k$

How does Siegel's Lemma and properties of auxiliary functions helps in transcendental/irrationality proofs?

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