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Finding critical point between two roots

score 48 · Answer 1 · 2026-04-10 00:50:47

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Finding critical point between two roots

Published on 10 Apr 2026 - 0:50

score 200 · Answer 2 · 2026-04-17 14:20:37

200

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Let $p(x)=x^2-x+1$. Let $\alpha$ be a root of $p(p(p(p(x))))$. Compute $|(p(\alpha)-1)p(\alpha)p(p(\alpha))p(p(p(\alpha)))|$.

Published on 17 Apr 2026 - 14:20

score 199 · Answer 3 · 2026-04-10 18:09:32

199

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Zeros of a complex function on the unit circle

Published on 10 Apr 2026 - 18:09

score 63 · Answer 4 · 2026-03-25 03:01:47

63

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Connection between roots in $Q_p$ and $Z_p$

Published on 25 Mar 2026 - 3:01

score 76 · Answer 5 · 2026-04-14 01:01:51

76

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Different algebraic expressions for the same roots of a polynomial.

Published on 14 Apr 2026 - 1:01

score 76 · Answer 6 · 2026-04-14 20:51:19

76

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Show $|f(z)|\leq |z|^N$ for holomorphic function $f:D(0,1)\to D(0,1)$.

Published on 14 Apr 2026 - 20:51

score 154 · Answer 7 · 2026-04-12 14:28:51

154

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Is there a lagrangian resolvent for a quadratic polynomial?

Published on 12 Apr 2026 - 14:28

score 59 · Answer 8 · 2026-04-13 08:01:14

59

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Approximating the lowest root of a degree-$N$ polyomial with a quadratic polynomial

Published on 13 Apr 2026 - 8:01

score 445 · Answer 9 · 2026-04-13 05:26:09

445

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Generalizing Radicals to Solve Quintics and Above

Published on 13 Apr 2026 - 5:26

score 38 · Answer 10 · 2026-04-11 13:00:33

38

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Issue applying Descarte's rule of signs to $y=x^2$.

Published on 11 Apr 2026 - 13:00

score 165 · Answer 11 · 2026-04-13 12:47:06

165

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Some strange properties of the sine integral

Published on 13 Apr 2026 - 12:47

score 200 · Answer 12 · 2026-04-14 20:17:46

200

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Is is possible to manually solve $10x = 1 - (1+x)^{-12}$ with a simple calculator only?

Published on 14 Apr 2026 - 20:17

score 38 · Answer 13 · 2026-04-12 18:20:28

38

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Minimizing sum involving exponentials: $\sum_{k=1}^n (\exp(-a_k x) - b_k)^2$

Published on 12 Apr 2026 - 18:20

score 145 · Answer 14 · 2026-04-15 19:06:30

145

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Proving a polynomial in the complex plane has no zeros in a certain radius

Published on 15 Apr 2026 - 19:06

score 77 · Answer 15 · 2026-04-14 15:49:02

77

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Mathematical notation for repeating an equation

Published on 14 Apr 2026 - 15:49

List Question

Finding critical point between two roots

Let $p(x)=x^2-x+1$. Let $\alpha$ be a root of $p(p(p(p(x))))$. Compute $|(p(\alpha)-1)p(\alpha)p(p(\alpha))p(p(p(\alpha)))|$.

Zeros of a complex function on the unit circle

Connection between roots in $Q_p$ and $Z_p$

Different algebraic expressions for the same roots of a polynomial.

Show $|f(z)|\leq |z|^N$ for holomorphic function $f:D(0,1)\to D(0,1)$.

Is there a lagrangian resolvent for a quadratic polynomial?

Approximating the lowest root of a degree-$N$ polyomial with a quadratic polynomial

Generalizing Radicals to Solve Quintics and Above

Issue applying Descarte's rule of signs to $y=x^2$.

Some strange properties of the sine integral

Is is possible to manually solve $10x = 1 - (1+x)^{-12}$ with a simple calculator only?

Minimizing sum involving exponentials: $\sum_{k=1}^n (\exp(-a_k x) - b_k)^2$

Proving a polynomial in the complex plane has no zeros in a certain radius

Mathematical notation for repeating an equation

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