Question

Constructing $\sqrt{\sqrt{1+x^2}-1}$ to be smooth (cancelling the square)

score 76 · Answer 1 · 2020-05-15 13:15:50

76

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Constructing $\sqrt{\sqrt{1+x^2}-1}$ to be smooth (cancelling the square)

Published on 15 May 2020 - 13:15

score 20 · Answer 2 · 2020-06-02 17:21:49

20

Views

general approach to comment on bijection of these functions whose graph can't be drawn

Published on 02 Jun 2020 - 17:21

score 121 · Answer 3 · 2026-02-23 02:56:23

121

Views

Are the Bernoulli numbers $B_{2n}$ given by an elementary function of $n$?

Published on 23 Feb 2026 - 2:56

score 117 · Answer 4 · 2020-06-06 04:51:17

117

Views

Elementary Relations/Functions and the Solvability of their Inverses

Published on 06 Jun 2020 - 4:51

score 1.5k · Answer 5 · 2020-06-09 04:27:08

1.5k

Views

Is there a smooth, preferably analytic function that grows faster than any function in the sequence $e^x, e^{e^x}, e^{e^{e^x}}...$

Published on 09 Jun 2020 - 4:27

score 896 · Answer 6 · 2020-06-17 09:43:49

896

Views

Is there an elementary expression for every real sequence?

Published on 17 Jun 2020 - 9:43

score 41 · Answer 7 · 2026-03-25 07:43:38

41

Views

Existence of an algebraic function on a disc, in an elementary way

Published on 25 Mar 2026 - 7:43

score 110 · Answer 8 · 2020-06-29 01:11:23

110

Views

Basic polynomial questions

Published on 29 Jun 2020 - 1:11

score 52 · Answer 9 · 2026-03-25 14:26:52

52

Views

On an equation that involves the number-of-divisors function and the formula for a sequence of figurate numbers

Published on 25 Mar 2026 - 14:26

score 126 · Answer 10 · 2020-07-01 13:48:03

126

Views

Why are $\sin,\cos,\tan$ continuous

Published on 01 Jul 2020 - 13:48

score 69 · Answer 11 · 2026-03-25 16:03:55

69

Views

A conjecture about the solvability of rational equations of transcendental functions by elementary numbers

Published on 25 Mar 2026 - 16:03

score 268 · Answer 12 · 2020-07-14 19:57:04

268

Views

Can you write $1-x-\frac{x^2}{2!}+\frac{x^3}{3!}-\dots$ with elementary functions

Published on 14 Jul 2020 - 19:57

score 66 · Answer 13 · 2026-02-23 12:08:47

66

Views

is there a function $\gamma(x)$ where when $a$ & $b$ and $a+1$ & $b+1$ are co-prime, $\gamma(\frac{a}{b})>\gamma(\frac{a+1}{b+1})$

Published on 23 Feb 2026 - 12:08

score 172 · Answer 14 · 2016-07-08 02:30:41

172

Views

Discriminant of a polynomial definition

Published on 08 Jul 2016 - 2:30

score 1.1k · Answer 15 · 2016-07-10 17:20:42

1.1k

Views

Square Root of a matrix without diagonalization

Published on 10 Jul 2016 - 17:20

List Question

Constructing $\sqrt{\sqrt{1+x^2}-1}$ to be smooth (cancelling the square)

general approach to comment on bijection of these functions whose graph can't be drawn

Are the Bernoulli numbers $B_{2n}$ given by an elementary function of $n$?

Elementary Relations/Functions and the Solvability of their Inverses

Is there a smooth, preferably analytic function that grows faster than any function in the sequence $e^x, e^{e^x}, e^{e^{e^x}}...$

Is there an elementary expression for every real sequence?

Existence of an algebraic function on a disc, in an elementary way

Basic polynomial questions

On an equation that involves the number-of-divisors function and the formula for a sequence of figurate numbers

Why are $\sin,\cos,\tan$ continuous

A conjecture about the solvability of rational equations of transcendental functions by elementary numbers

Can you write $1-x-\frac{x^2}{2!}+\frac{x^3}{3!}-\dots$ with elementary functions

is there a function $\gamma(x)$ where when $a$ & $b$ and $a+1$ & $b+1$ are co-prime, $\gamma(\frac{a}{b})>\gamma(\frac{a+1}{b+1})$

Discriminant of a polynomial definition

Square Root of a matrix without diagonalization

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