Question

Why $\Re\left(e^{\sqrt{-\log x}}\right)=\Im\left(e^{\sqrt{-\log x}}\right)$ has no real solutions?

score 84 · Answer 1 · 2026-03-28 12:39:22

84

Views

Why $\Re\left(e^{\sqrt{-\log x}}\right)=\Im\left(e^{\sqrt{-\log x}}\right)$ has no real solutions?

Published on 28 Mar 2026 - 12:39

score 456 · Answer 2 · 2018-04-12 23:35:25

456

Views

Prove odd degree polynomials have roots.

Published on 12 Apr 2018 - 23:35

score 91 · Answer 3 · 2026-03-28 20:47:57

91

Views

Eigenvalues of elements of a Weyl group

Published on 28 Mar 2026 - 20:47

score 812 · Answer 4 · 2026-03-27 12:02:57

812

Views

Jenkins-Traub algorithm to find the zeros of a multiple-variable polynomial

Published on 27 Mar 2026 - 12:02

score 824 · Answer 5 · 2026-03-24 22:06:53

824

Views

Third degree Polynomial has the properties

Published on 24 Mar 2026 - 22:06

score 132 · Answer 6 · 2018-04-14 02:54:51

132

Views

Polynomial root finders with consistent root ordering

Published on 14 Apr 2018 - 2:54

score 290 · Answer 7 · 2026-03-24 22:01:22

290

Views

How to solve the cubic $x^3-3x+1=0$?

Published on 24 Mar 2026 - 22:01

score 95 · Answer 8 · 2018-04-18 12:03:41

95

Views

Calculate $ S= \frac{(b+c)bc}{P'(a)} + \frac{(c+a)ca}{P'(b)} + \frac{(a+b)ab}{P'(c)} $

Published on 18 Apr 2018 - 12:03

score 383 · Answer 9 · 2026-03-20 02:03:17

383

Views

Generalization of $x^n-1$ following Fermat's Little theorem

Published on 20 Mar 2026 - 2:03

score 65 · Answer 10 · 2018-04-21 14:54:24

65

Views

Find explicitly the positive solutions of $2^x=x^2$

Published on 21 Apr 2018 - 14:54

score 168 · Answer 11 · 2018-04-22 04:08:55

168

Views

Two roots of $4x^3+8x^2+Kx-18=0$ are equal numerically but opposite in value. Find the value of K.

Published on 22 Apr 2018 - 4:08

score 816 · Answer 12 · 2018-04-22 17:25:38

816

Views

Multiplicity of zeros and derivatives.

Published on 22 Apr 2018 - 17:25

score 422 · Answer 13 · 2018-04-23 01:15:03

422

Views

The roots of a polynomial in the first quadrant

Published on 23 Apr 2018 - 1:15

score 49 · Answer 14 · 2026-03-24 23:46:12

49

Views

Prove: $k^3 - k( b c + c a + a b ) + 2 a b c = 0$ always has a negative root with all positive parameters $a, b, c$

Published on 24 Mar 2026 - 23:46

score 986 · Answer 15 · 2026-03-22 21:03:13

986

Views

Roots of polynomials with bounded integer coefficients

Published on 22 Mar 2026 - 21:03

List Question

Why $\Re\left(e^{\sqrt{-\log x}}\right)=\Im\left(e^{\sqrt{-\log x}}\right)$ has no real solutions?

Prove odd degree polynomials have roots.

Eigenvalues of elements of a Weyl group

Jenkins-Traub algorithm to find the zeros of a multiple-variable polynomial

Third degree Polynomial has the properties

Polynomial root finders with consistent root ordering

How to solve the cubic $x^3-3x+1=0$?

Calculate $ S= \frac{(b+c)bc}{P'(a)} + \frac{(c+a)ca}{P'(b)} + \frac{(a+b)ab}{P'(c)} $

Generalization of $x^n-1$ following Fermat's Little theorem

Find explicitly the positive solutions of $2^x=x^2$

Two roots of $4x^3+8x^2+Kx-18=0$ are equal numerically but opposite in value. Find the value of K.

Multiplicity of zeros and derivatives.

The roots of a polynomial in the first quadrant

Prove: $k^3 - k( b c + c a + a b ) + 2 a b c = 0$ always has a negative root with all positive parameters $a, b, c$

Roots of polynomials with bounded integer coefficients

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