Question

Conjecture: Shallow diagonals in Pascal's triangle form polynomials whose roots are all real, distinct, and in $(-2,2)$.

score 186 · Answer 1 · 2026-04-16 01:35:54

186

Views

Conjecture: Shallow diagonals in Pascal's triangle form polynomials whose roots are all real, distinct, and in $(-2,2)$.

Published on 16 Apr 2026 - 1:35

score 67 · Answer 2 · 2026-04-13 11:35:14

67

Views

Ambiguity about proving that the square root of 2 is irrational

Published on 13 Apr 2026 - 11:35

score 153 · Answer 3 · 2026-04-15 19:55:10

153

Views

Find the complex roots of $8z^3+27=0$ and thus find the area of the triangle

Published on 15 Apr 2026 - 19:55

score 58 · Answer 4 · 2026-04-09 10:57:46

58

Views

Finding small root of $y = ax + b$ over a finite field

Published on 09 Apr 2026 - 10:57

score 153 · Answer 5 · 2026-03-26 02:56:02

153

Views

closed-form Newton flow of tanh(ln(1+x^2))

Published on 26 Mar 2026 - 2:56

score 472 · Answer 6 · 2026-04-13 14:44:46

472

Views

Bounds on the maximum real root of a polynomial with coefficients $-1,0,1$

Published on 13 Apr 2026 - 14:44

score 331 · Answer 7 · 2026-04-13 23:36:56

331

Views

Consider a quadratic equation $az^2+bz+c=0$, where $a, b, c$ are complex number. Then Find condition for one purely imaginary root.

Published on 13 Apr 2026 - 23:36

score 461 · Answer 8 · 2026-04-09 08:10:51

461

Views

Help creating a square root with basic operations

Published on 09 Apr 2026 - 8:10

score 130 · Answer 9 · 2026-03-25 09:27:30

130

Views

How to find roots of a system of multivariate polynomials?

Published on 25 Mar 2026 - 9:27

score 115 · Answer 10 · 2026-04-15 07:15:48

115

Views

Roots of $x\sin(1/x)$ and Inverse Function theorem

Published on 15 Apr 2026 - 7:15

score 63 · Answer 11 · 2026-04-12 07:52:52

63

Views

A value from which a positive power of x beats a logarithm

Published on 12 Apr 2026 - 7:52

score 97 · Answer 12 · 2026-03-25 11:04:47

97

Views

How to solve this system of multivariate polynomial equations for $0<x_7<x_6<x_8 \le 1$? Groebner basis maybe?

Published on 25 Mar 2026 - 11:04

score 189 · Answer 13 · 2026-04-12 17:37:55

189

Views

The zeroes of the Harmonic numbers

Published on 12 Apr 2026 - 17:37

score 246 · Answer 14 · 2026-04-16 22:51:31

246

Views

Find all solutions of the equation $4(\overline{z})^4+z^2=0$

Published on 16 Apr 2026 - 22:51

score 51 · Answer 15 · 2026-04-10 10:57:53

51

Views

Help required: Root finding algorithm with guaranteed rate of convergence for two Quadratic equations

Published on 10 Apr 2026 - 10:57

List Question

Conjecture: Shallow diagonals in Pascal's triangle form polynomials whose roots are all real, distinct, and in $(-2,2)$.

Ambiguity about proving that the square root of 2 is irrational

Find the complex roots of $8z^3+27=0$ and thus find the area of the triangle

Finding small root of $y = ax + b$ over a finite field

closed-form Newton flow of tanh(ln(1+x^2))

Bounds on the maximum real root of a polynomial with coefficients $-1,0,1$

Consider a quadratic equation $az^2+bz+c=0$, where $a, b, c$ are complex number. Then Find condition for one purely imaginary root.

Help creating a square root with basic operations

How to find roots of a system of multivariate polynomials?

Roots of $x\sin(1/x)$ and Inverse Function theorem

A value from which a positive power of x beats a logarithm

How to solve this system of multivariate polynomial equations for $0<x_7<x_6<x_8 \le 1$? Groebner basis maybe?

The zeroes of the Harmonic numbers

Find all solutions of the equation $4(\overline{z})^4+z^2=0$

Help required: Root finding algorithm with guaranteed rate of convergence for two Quadratic equations

Trending Questions

Popular # Hahtags

Popular Questions