Question

prove that $x∉ℤ⇒\lfloor{-x}\rfloor=-\lfloor{x}\rfloor-1$

score 65 · Answer 1 · 2026-03-25 19:06:54

65

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prove that $x∉ℤ⇒\lfloor{-x}\rfloor=-\lfloor{x}\rfloor-1$

Published on 25 Mar 2026 - 19:06

score 203 · Answer 2 · 2026-03-26 08:00:30

203

Views

Can a positive polynomial on sphere be represented as the sum of squares of spherical harmonics

Published on 26 Mar 2026 - 8:00

score 141 · Answer 3 · 2026-03-25 04:43:49

141

Views

Integration of $\int_0^l\int_0 ^{2\pi} \frac {\exp ik\sqrt {r^2+x_0^2+2r x_0\sin\phi+d^2}}{\sqrt{r^2+x_0^2+2r x_0 \sin \phi+d^2}} \, r \,dr \, d\phi$.

Published on 25 Mar 2026 - 4:43

score 177 · Answer 4 · 2018-08-17 18:19:31

177

Views

Elliptic integral of a quartic

Published on 17 Aug 2018 - 18:19

score 1.4k · Answer 5 · 2018-08-18 00:19:33

1.4k

Views

Calculating the first zero of Riemann Zeta Function by hand

Published on 18 Aug 2018 - 0:19

score 110 · Answer 6 · 2018-08-20 18:24:21

110

Views

Conjecture on limit of a partial fraction expansion involving tan and cot

Published on 20 Aug 2018 - 18:24

score 346 · Answer 7 · 2026-03-26 07:56:56

346

Views

Integral of the bessel function

Published on 26 Mar 2026 - 7:56

score 91 · Answer 8 · 2018-08-23 04:41:57

Show $\sum_{k=0}^\infty \frac{1}{(k+a)\binom{n+k}{k}}=\frac{-\,n!}{(1-a)_n}\Big(\gamma+\psi(a)+\sum_{k=1}^{n-1}\frac{1}{k}\frac{(1-a)_k}{k!}\Big)$

score 82 · Answer 9 · 2026-03-25 23:35:53

82

Views

integrating modified gamma functions

Published on 25 Mar 2026 - 23:35

score 242 · Answer 10 · 2026-03-26 17:13:30

242

Views

Convert product of Bessel functions of the first and second kind into a Meijer G-function

Published on 26 Mar 2026 - 17:13

score 75 · Answer 11 · 2018-08-25 02:44:51

Proof of converting the product of Bessel function of the second kind and the sine function into Meijer $G$-function.

score 86 · Answer 12 · 2026-03-26 19:03:05

86

Views

How can I graph $f(x)=\lfloor{x^2}\rfloor$ when the domain is $ℝ^{-}$.

Published on 26 Mar 2026 - 19:03

score 248 · Answer 13 · 2018-08-29 17:04:27

248

Views

Looking for a sigmoid-like function with convex segment around origin

Published on 29 Aug 2018 - 17:04

score 168 · Answer 14 · 2018-08-30 16:17:17

168

Views

Looking for closed form solutions to linear ordinary differential equations with time dependent coefficients.

Published on 30 Aug 2018 - 16:17

score 44 · Answer 15 · 2018-08-31 20:20:22

44

Views

Transfer foundamental functions into MeijerG function

Published on 31 Aug 2018 - 20:20

List Question

prove that $x∉ℤ⇒\lfloor{-x}\rfloor=-\lfloor{x}\rfloor-1$

Can a positive polynomial on sphere be represented as the sum of squares of spherical harmonics

Integration of $\int_0^l\int_0 ^{2\pi} \frac {\exp ik\sqrt {r^2+x_0^2+2r x_0\sin\phi+d^2}}{\sqrt{r^2+x_0^2+2r x_0 \sin \phi+d^2}} \, r \,dr \, d\phi$.

Elliptic integral of a quartic

Calculating the first zero of Riemann Zeta Function by hand

Conjecture on limit of a partial fraction expansion involving tan and cot

Integral of the bessel function

Show $\sum_{k=0}^\infty \frac{1}{(k+a)\binom{n+k}{k}}=\frac{-\,n!}{(1-a)_n}\Big(\gamma+\psi(a)+\sum_{k=1}^{n-1}\frac{1}{k}\frac{(1-a)_k}{k!}\Big)$

integrating modified gamma functions

Convert product of Bessel functions of the first and second kind into a Meijer G-function

Proof of converting the product of Bessel function of the second kind and the sine function into Meijer $G$-function.

How can I graph $f(x)=\lfloor{x^2}\rfloor$ when the domain is $ℝ^{-}$.

Looking for a sigmoid-like function with convex segment around origin

Looking for closed form solutions to linear ordinary differential equations with time dependent coefficients.

Transfer foundamental functions into MeijerG function

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