Question

Sum of polynomials over a ring

score 55 · Answer 1 · 2026-04-01 22:32:58

55

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Sum of polynomials over a ring

Published on 01 Apr 2026 - 22:32

score 2.4k · Answer 2 · 2026-03-25 06:07:12

2.4k

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How to prove $\sqrt {a-\sqrt {a+\sqrt {a-\sqrt {a+\sqrt {a-\sqrt {a+\ldots}}}}}}=\frac {\sqrt {4a-3}-1}2$

Published on 25 Mar 2026 - 6:07

score 92 · Answer 3 · 2018-10-22 20:19:36

92

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Positive polynomials in $\mathbb{R}^+$

Published on 22 Oct 2018 - 20:19

score 71 · Answer 4 · 2018-10-22 21:48:55

71

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Prove that $ X_a=\{x_a; x_a=(a,a^2,a^3...), a \in R \}$ are linearly independent.

Published on 22 Oct 2018 - 21:48

score 46 · Answer 5 · 2026-03-25 18:46:32

46

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Does this structured matrix yielding a specified characteristic polynomial admit uniquely defined Jordan blocks?

Published on 25 Mar 2026 - 18:46

score 53 · Answer 6 · 2026-03-27 20:12:11

53

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Polynomials with equal minima and maxima

Published on 27 Mar 2026 - 20:12

score 543 · Answer 7 · 2026-03-24 22:01:24

543

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Gröbner bases for sum of ideals

Published on 24 Mar 2026 - 22:01

score 310 · Answer 8 · 2018-10-23 08:00:29

310

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Finding How Many Roots $2z^4-3z^3+3z^2-z+1=0$ has in the First Quadrant

Published on 23 Oct 2018 - 8:00

score 226 · Answer 9 · 2026-04-01 07:54:49

226

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Showing that $2z^4-3z^3+3z^2-z+1=0$ has no Real Roots

Published on 01 Apr 2026 - 7:54

score 1.3k · Answer 10 · 2026-04-01 07:55:50

1.3k

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Prove that $2z^4-3z^3+3z^2-z+1=0$ has exactly one complex root in each of the four quadrants.

Published on 01 Apr 2026 - 7:55

score 4k · Answer 11 · 2026-03-26 17:30:50

4k

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Find the remainder without using long division

Published on 26 Mar 2026 - 17:30

score 169 · Answer 12 · 2026-03-29 22:34:43

169

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Proving $p^b$ divides $N$.

Published on 29 Mar 2026 - 22:34

score 54 · Answer 13 · 2018-10-23 23:34:34

54

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Let $Z$ be $n$ distinct points. Show that $Z$ is the common zero locus of two polynomials $f,g\in K[x,y]$ s.t. deg $f \le n-1$ and deg $g\le n$

Published on 23 Oct 2018 - 23:34

score 131 · Answer 14 · 2026-03-28 22:31:05

131

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Can $n+1$ distinct positive vectors in $\mathbb{R}^n_{>0}$ agree on $n$ distinct weighted $p$-norms?

Published on 28 Mar 2026 - 22:31

score 69 · Answer 15 · 2026-03-25 17:36:42

69

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How can partial fractions be used for deductions?

Published on 25 Mar 2026 - 17:36

List Question

Sum of polynomials over a ring

How to prove $\sqrt {a-\sqrt {a+\sqrt {a-\sqrt {a+\sqrt {a-\sqrt {a+\ldots}}}}}}=\frac {\sqrt {4a-3}-1}2$

Positive polynomials in $\mathbb{R}^+$

Prove that $ X_a=\{x_a; x_a=(a,a^2,a^3...), a \in R \}$ are linearly independent.

Does this structured matrix yielding a specified characteristic polynomial admit uniquely defined Jordan blocks?

Polynomials with equal minima and maxima

Gröbner bases for sum of ideals

Finding How Many Roots $2z^4-3z^3+3z^2-z+1=0$ has in the First Quadrant

Showing that $2z^4-3z^3+3z^2-z+1=0$ has no Real Roots

Prove that $2z^4-3z^3+3z^2-z+1=0$ has exactly one complex root in each of the four quadrants.

Find the remainder without using long division

Proving $p^b$ divides $N$.

Let $Z$ be $n$ distinct points. Show that $Z$ is the common zero locus of two polynomials $f,g\in K[x,y]$ s.t. deg $f \le n-1$ and deg $g\le n$

Can $n+1$ distinct positive vectors in $\mathbb{R}^n_{>0}$ agree on $n$ distinct weighted $p$-norms?

How can partial fractions be used for deductions?

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