Question

Solving $\lfloor {2x} \rfloor + \lceil {x} \rceil - 4x = 0$

score 251 · Answer 1 · 2026-04-15 02:30:48

251

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Solving $\lfloor {2x} \rfloor + \lceil {x} \rceil - 4x = 0$

Published on 15 Apr 2026 - 2:30

score 59 · Answer 2 · 2026-04-11 10:55:14

59

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Finding the local extrema of $x^{\frac{x}{x!}}$

Published on 11 Apr 2026 - 10:55

score 48 · Answer 3 · 2026-04-11 16:55:39

48

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Does a connection exist between the roots of $\mathrm{Si}\left(\frac{z}{2}\right)$ and the roots of its derivative?

Published on 11 Apr 2026 - 16:55

score 67 · Answer 4 · 2026-04-13 03:03:38

67

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order n polynomial long division question

Published on 13 Apr 2026 - 3:03

score 86 · Answer 5 · 2026-04-16 02:46:54

86

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Finding the value of $\frac{1}{z_1-z_2}+\frac{1}{z_2-z_3}+...+\frac{1}{z_7-z_1}$

Published on 16 Apr 2026 - 2:46

score 58 · Answer 6 · 2026-04-09 10:09:58

58

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What are popular test functions for root-finding algorithms?

Published on 09 Apr 2026 - 10:09

score 114 · Answer 7 · 2026-04-09 15:22:21

114

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A polynomial with unique root in every $ \mathbb Z _ n $

Published on 09 Apr 2026 - 15:22

score 51 · Answer 8 · 2026-03-26 14:42:03

51

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Show that roots are preserved by $\tau.$

Published on 26 Mar 2026 - 14:42

score 72 · Answer 9 · 2026-03-26 12:37:28

72

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Roots and analytic continuation of $\zeta(s)=\sum_{n>0} \frac{H_n^{-s}}{n} $?

Published on 26 Mar 2026 - 12:37

score 150 · Answer 10 · 2026-04-12 00:58:59

150

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roots of unity and geometry problem

Published on 12 Apr 2026 - 0:58

score 68 · Answer 11 · 2026-04-17 07:56:29

68

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Find the number of distinct complex values that $P(x) =x^6+2x^5+5x^4+4x^3+6x^2+5x+7$ if $x$ is a solution of $x^3+x+1=0$

Published on 17 Apr 2026 - 7:56

score 51 · Answer 12 · 2026-04-10 23:51:29

51

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What is the most general statement one can make about roots in $\mathbb{R}$?

Published on 10 Apr 2026 - 23:51

score 169 · Answer 13 · 2026-04-15 19:43:07

169

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If $\alpha$ is a complex root of $X^6 + X^3 + 1$, find all homomorphisms $\sigma: \mathbb{Q}(\alpha) \rightarrow \mathbb{C}$.

Published on 15 Apr 2026 - 19:43

score 716 · Answer 14 · 2026-04-16 13:21:26

For given $n$, how to find integers $a_0, ..., a_n$ so that $\sum_{k=0}^n a_k x^k$ has $n$ distinct real roots and $\sum_{k=0}^n |a_k|$ is minimized?

score 73 · Answer 15 · 2026-04-15 03:12:17

73

Views

Integer polynomials such that $f(z) = 0, |z| = 1$

Published on 15 Apr 2026 - 3:12

List Question

Solving $\lfloor {2x} \rfloor + \lceil {x} \rceil - 4x = 0$

Finding the local extrema of $x^{\frac{x}{x!}}$

Does a connection exist between the roots of $\mathrm{Si}\left(\frac{z}{2}\right)$ and the roots of its derivative?

order n polynomial long division question

Finding the value of $\frac{1}{z_1-z_2}+\frac{1}{z_2-z_3}+...+\frac{1}{z_7-z_1}$

What are popular test functions for root-finding algorithms?

A polynomial with unique root in every $ \mathbb Z _ n $

Show that roots are preserved by $\tau.$

Roots and analytic continuation of $\zeta(s)=\sum_{n>0} \frac{H_n^{-s}}{n} $?

roots of unity and geometry problem

Find the number of distinct complex values that $P(x) =x^6+2x^5+5x^4+4x^3+6x^2+5x+7$ if $x$ is a solution of $x^3+x+1=0$

What is the most general statement one can make about roots in $\mathbb{R}$?

If $\alpha$ is a complex root of $X^6 + X^3 + 1$, find all homomorphisms $\sigma: \mathbb{Q}(\alpha) \rightarrow \mathbb{C}$.

For given $n$, how to find integers $a_0, ..., a_n$ so that $\sum_{k=0}^n a_k x^k$ has $n$ distinct real roots and $\sum_{k=0}^n |a_k|$ is minimized?

Integer polynomials such that $f(z) = 0, |z| = 1$

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