Question

Can the equation $2^x + x = 11$ be solved without graphing?

score 255 · Answer 1 · 2026-04-11 16:21:23

255

Views

Can the equation $2^x + x = 11$ be solved without graphing?

Published on 11 Apr 2026 - 16:21

score 195 · Answer 2 · 2026-04-13 07:00:51

195

Views

Solving this recursive differential equation, knowing the first term (maybe using Laplace Transform)

Published on 13 Apr 2026 - 7:00

score 33 · Answer 3 · 2022-07-19 06:21:16

33

Views

Does $\sum_{k=1}^\infty\frac{(-1)^{k+1}r^k}{k(1-s^k)}$, where $0<r<1$ and $0<s<1$, have a closed form?

Published on 19 Jul 2022 - 6:21

score 430 · Answer 4 · 2026-04-12 15:56:22

430

Views

Proof of the Euler's constant limit

Published on 12 Apr 2026 - 15:56

score 155 · Answer 5 · 2026-04-13 06:45:25

155

Views

Given an algebraic number $a$, find the closed form of $\arctan (a)$

Published on 13 Apr 2026 - 6:45

score 112 · Answer 6 · 2026-03-26 16:07:09

112

Views

Under what conditions can we push-forward the differential forms on a manifold $M$ to differential forms on a manifold $N$ by a smooth map $f$?

Published on 26 Mar 2026 - 16:07

score 183 · Answer 7 · 2022-07-24 03:31:52

183

Views

Closed form of negative root of $x+x^2+x^4+x^8+x^{16}+...=0$

Published on 24 Jul 2022 - 3:31

score 101 · Answer 8 · 2026-04-12 09:01:46

101

Views

Closed form for a sum of product of Modified Bessel Functions

Published on 12 Apr 2026 - 9:01

score 62 · Answer 9 · 2026-04-11 05:52:18

62

Views

Constructing a function with countably infinitely many zeros using arithmetic operators and exponentiation

Published on 11 Apr 2026 - 5:52

score 131 · Answer 10 · 2026-04-13 08:32:30

131

Views

When to stop looking for closed-form solutions?

Published on 13 Apr 2026 - 8:32

score 209 · Answer 11 · 2026-04-12 21:32:18

209

Views

closed-form convolution integral of two pdfs (Hypoexponential and Lévy)

Published on 12 Apr 2026 - 21:32

score 177 · Answer 12 · 2022-07-28 17:27:43

177

Views

Conjectured closed form of $\int_0^{\infty} \frac{1}{(x^2+a^2)^{n}} \, \mathrm d x$

Published on 28 Jul 2022 - 17:27

score 508 · Answer 13 · 2026-03-26 07:33:52

508

Views

How to fix discontinuities in the $\arctan$?

Published on 26 Mar 2026 - 7:33

score 33 · Answer 14 · 2026-04-13 16:50:00

33

Views

In general what are the min and max values of $(x)_{\pmod d} - \dfrac{(x)_{\pmod {2d}}}{2}$?

Published on 13 Apr 2026 - 16:50

score 39 · Answer 15 · 2026-04-08 05:47:50

39

Views

Longest contiguous subsequence shared by every de Bruijn sequence of a given order?

Published on 08 Apr 2026 - 5:47

List Question

Can the equation $2^x + x = 11$ be solved without graphing?

Solving this recursive differential equation, knowing the first term (maybe using Laplace Transform)

Does $\sum_{k=1}^\infty\frac{(-1)^{k+1}r^k}{k(1-s^k)}$, where $0<r<1$ and $0<s<1$, have a closed form?

Proof of the Euler's constant limit

Given an algebraic number $a$, find the closed form of $\arctan (a)$

Under what conditions can we push-forward the differential forms on a manifold $M$ to differential forms on a manifold $N$ by a smooth map $f$?

Closed form of negative root of $x+x^2+x^4+x^8+x^{16}+...=0$

Closed form for a sum of product of Modified Bessel Functions

Constructing a function with countably infinitely many zeros using arithmetic operators and exponentiation

When to stop looking for closed-form solutions?

closed-form convolution integral of two pdfs (Hypoexponential and Lévy)

Conjectured closed form of $\int_0^{\infty} \frac{1}{(x^2+a^2)^{n}} \, \mathrm d x$

How to fix discontinuities in the $\arctan$?

In general what are the min and max values of $(x)_{\pmod d} - \dfrac{(x)_{\pmod {2d}}}{2}$?

Longest contiguous subsequence shared by every de Bruijn sequence of a given order?

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