Question

Poincaré–Miranda \ Intermediate Value theorem for mappings from $\mathbb{R}^n$ to $\mathbb{R}^m$

score 65 · Answer 1 · 2026-04-16 12:56:05

65

Views

Poincaré–Miranda \ Intermediate Value theorem for mappings from $\mathbb{R}^n$ to $\mathbb{R}^m$

Published on 16 Apr 2026 - 12:56

score 61 · Answer 2 · 2026-04-16 06:41:54

61

Views

Show that $f(x)=a_0+\sum_{i=1}^n a_ie^{b_ix}$ is identically zero or has at most $n$ zeroes.

Published on 16 Apr 2026 - 6:41

score 117 · Answer 3 · 2026-04-08 16:31:55

117

Views

Finding roots of a $3$-dimensional sinusoidal function

Published on 08 Apr 2026 - 16:31

score 91 · Answer 4 · 2026-03-25 11:15:05

91

Views

Find a multivariate polynomial over finite field with given zeros (or number of zeros)

Published on 25 Mar 2026 - 11:15

score 101 · Answer 5 · 2026-03-25 12:50:11

101

Views

Is the set of continuous maps on $[0,1]$ with finitely many roots open in the $C^0$ topology?

Published on 25 Mar 2026 - 12:50

score 52 · Answer 6 · 2026-04-15 03:51:11

52

Views

Where are the zeros of $\Gamma[z,1]$?

Published on 15 Apr 2026 - 3:51

score 167 · Answer 7 · 2026-04-11 01:07:43

167

Views

Prove that, If two quadratic equations have same roots then ratio of their coefficients are proportional

Published on 11 Apr 2026 - 1:07

score 249 · Answer 8 · 2026-04-10 14:58:18

249

Views

Inequality for a complex polynomial

Published on 10 Apr 2026 - 14:58

score 43 · Answer 9 · 2026-03-25 11:16:30

43

Views

Find a multivariate polynomial over finite field with given zeros (or number of zeros) with an upper bound on its degree

Published on 25 Mar 2026 - 11:16

score 45 · Answer 10 · 2026-04-16 01:32:36

45

Views

For what values of $c$ is $\sum _{k=1}^{\infty } (-1)^{k+1} x^{c \log (k)}=0$ when $x=\exp \left(-\frac{\rho _1}{c}\right)$?

Published on 16 Apr 2026 - 1:32

score 69 · Answer 11 · 2026-04-13 16:22:43

69

Views

Show that $a(\gcd (n,k))$ is generated from roots of generating function of $\sum _{h=0}^{\infty } \left(\sum _{k=1}^n x^{h n+k} a(\gcd (n,k))\right)$

Published on 13 Apr 2026 - 16:22

score 30 · Answer 12 · 2026-04-12 12:30:37

30

Views

Prove $\sqrt{ z − p} − i \sqrt{p}$ sends exterior of $y ^2 = 4px$ to half-plane $x>0$ (Complex analysis)

Published on 12 Apr 2026 - 12:30

score 54 · Answer 13 · 2026-04-09 11:58:33

54

Views

Finding roots of cubic equation by factorisation

Published on 09 Apr 2026 - 11:58

score 107 · Answer 14 · 2026-04-12 08:17:50

107

Views

Nullclines of Fitzhugh-Nagumo system (or in general systems with multiple solutions to dx/dt = 0)

Published on 12 Apr 2026 - 8:17

score 262 · Answer 15 · 2026-04-14 02:04:23

262

Views

Do the roots of this function all reside on the line $\Re(s) = \frac12$?

Published on 14 Apr 2026 - 2:04

List Question

Poincaré–Miranda \ Intermediate Value theorem for mappings from $\mathbb{R}^n$ to $\mathbb{R}^m$

Show that $f(x)=a_0+\sum_{i=1}^n a_ie^{b_ix}$ is identically zero or has at most $n$ zeroes.

Finding roots of a $3$-dimensional sinusoidal function

Find a multivariate polynomial over finite field with given zeros (or number of zeros)

Is the set of continuous maps on $[0,1]$ with finitely many roots open in the $C^0$ topology?

Where are the zeros of $\Gamma[z,1]$?

Prove that, If two quadratic equations have same roots then ratio of their coefficients are proportional

Inequality for a complex polynomial

Find a multivariate polynomial over finite field with given zeros (or number of zeros) with an upper bound on its degree

For what values of $c$ is $\sum _{k=1}^{\infty } (-1)^{k+1} x^{c \log (k)}=0$ when $x=\exp \left(-\frac{\rho _1}{c}\right)$?

Show that $a(\gcd (n,k))$ is generated from roots of generating function of $\sum _{h=0}^{\infty } \left(\sum _{k=1}^n x^{h n+k} a(\gcd (n,k))\right)$

Prove $\sqrt{ z − p} − i \sqrt{p}$ sends exterior of $y ^2 = 4px$ to half-plane $x>0$ (Complex analysis)

Finding roots of cubic equation by factorisation

Nullclines of Fitzhugh-Nagumo system (or in general systems with multiple solutions to dx/dt = 0)

Do the roots of this function all reside on the line $\Re(s) = \frac12$?

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