User Đào Thanh Oai

4 votes

1 answer

346 views

Is it a new method to construction of a conic, how can prove?

asked Dec 4, 2018 at 8:05

4 votes

2 answers

431 views

Combination power elementary symmetric polynomial inequality

asked Jul 12, 2018 at 12:46

4 votes

2 answers

88 views

From a point and continuing reflection in $2n+1$ points then midpoint of the end point and the first point is fixed

asked Jun 12, 2020 at 15:53

4 votes

1 answer

255 views

Inequality $\frac{C}{d_{max}} \le \pi $ relating perimeter and diameter of planar convex body

asked Apr 24, 2019 at 11:45

4 votes

1 answer

498 views

Large radical of an integer and three AB conjectures

asked Sep 4, 2019 at 5:34

4 votes

1 answer

266 views

A closed chain of $2n+1$-gon around $2n+1$-points

asked Jul 26, 2020 at 16:09

4 votes

1 answer

332 views

Construct closed chain of $k$-gon around $n$ points-$n, k$ are odd primes number

asked Aug 2, 2020 at 11:41

4 votes

0 answers

384 views

Two triangles have the same centroid theorem

asked Nov 13, 2021 at 4:28

4 votes

0 answers

335 views

The number of continuously increasing primes gaps in the interval $[2,n]$ is less than $\log n$

asked Oct 21, 2023 at 9:28

4 votes

4 answers

914 views

Let $X$ be a positive integer. Then $\pi{(X+\ln^2{X})}-\pi{(X-\ln^2{X})}>\ln{X}$?

asked May 2 at 3:24

3 votes

1 answer

401 views

Probability of finding a prime number between $x-\ln(x)$ and $x+\ln(x)$

asked May 4 at 3:15

3 votes

1 answer

146 views

Triangle centers formed a rectangle associated with a convex cyclic quadrilateral

asked Jul 12 at 11:10

3 votes

1 answer

178 views

A generalization of Barrow's inequality

asked Jul 17 at 10:35

3 votes

1 answer

2k views

Does this hexagon theorem have a name?

asked Jun 1, 2022 at 14:19

3 votes

1 answer

427 views

Generalization of some plane geometry theorems

asked Jul 18, 2022 at 7:32

3 votes

1 answer

805 views

Brother of Japanese theorem for cyclic quadrilaterals

asked Aug 12, 2020 at 2:14

3 votes

1 answer

418 views

Generalization of Tucker circle, Conway circle and van Lamoen circle

asked Jun 15, 2020 at 16:18

3 votes

1 answer

303 views

How can construct three circles in a given triangle such that three internal tangent form an equilateral triangle

asked Jun 28, 2020 at 12:51

3 votes

1 answer

160 views

Inequality in a triangle associated with Golden ratio

asked May 15, 2021 at 16:23

3 votes

2 answers

364 views

Equal area of sum of pair opposite polygons conjecture

asked May 22, 2021 at 14:57

3 votes

0 answers

301 views

A problem on configuration of Dao's theorem on six circumcenters

asked May 25, 2021 at 10:14

3 votes

0 answers

87 views

Are there infinitely many primes $p$, positive integers $ k, n $ such that $1 \le n < p$ and $p^k > n.rad(p^{k+1}−n)$?

asked Sep 11, 2019 at 8:16

3 votes

2 answers

339 views

For any integer $n>1$, there always exists at least one prime number $p$ with $n < p< n+\left(\ln\Big(\frac{n}{\ln n}\Big)+1\right)^2$

asked Sep 24, 2019 at 10:47

3 votes

3 answers

348 views

A rearrangement inequality for exponentiation function

asked Jul 20, 2018 at 9:56

3 votes

0 answers

231 views

Are these points known? [closed]

asked Oct 19, 2018 at 15:53

3 votes

1 answer

507 views

An new equilateral triangle related to the Morley triangle

asked Oct 30, 2018 at 11:16

3 votes

1 answer

176 views

Relative to Isoperimetric inequality with n-polygon

asked May 3, 2018 at 14:03

3 votes

0 answers

907 views

A generalization of the Sawayama-Thebault theorem

asked Jul 5, 2018 at 8:02

3 votes

1 answer

253 views

An inequality of a cyclic polygon

asked Jul 7, 2018 at 3:10

2 votes

1 answer

448 views

$\sum_{k=1}^n(-1)^k\frac{\sin kx}{k^{\alpha}} < 0 ?$ with $\alpha \ge 1$ and $n=1, 2,\cdots$

asked Jun 29, 2018 at 23:06

Stack Exchange Network

102 Questions

Is it a new method to construction of a conic, how can prove?

Combination power elementary symmetric polynomial inequality

From a point and continuing reflection in $2n+1$ points then midpoint of the end point and the first point is fixed

Inequality $\frac{C}{d_{max}} \le \pi $ relating perimeter and diameter of planar convex body

Large radical of an integer and three AB conjectures

A closed chain of $2n+1$-gon around $2n+1$-points

Construct closed chain of $k$-gon around $n$ points-$n, k$ are odd primes number

Two triangles have the same centroid theorem

The number of continuously increasing primes gaps in the interval $[2,n]$ is less than $\log n$

Let $X$ be a positive integer. Then $\pi{(X+\ln^2{X})}-\pi{(X-\ln^2{X})}>\ln{X}$?

Probability of finding a prime number between $x-\ln(x)$ and $x+\ln(x)$

Triangle centers formed a rectangle associated with a convex cyclic quadrilateral

A generalization of Barrow's inequality

Does this hexagon theorem have a name?

Generalization of some plane geometry theorems

Brother of Japanese theorem for cyclic quadrilaterals

Generalization of Tucker circle, Conway circle and van Lamoen circle

How can construct three circles in a given triangle such that three internal tangent form an equilateral triangle

Inequality in a triangle associated with Golden ratio

Equal area of sum of pair opposite polygons conjecture

A problem on configuration of Dao's theorem on six circumcenters

Are there infinitely many primes $p$, positive integers $ k, n $ such that $1 \le n < p$ and $p^k > n.rad(p^{k+1}−n)$?

For any integer $n>1$, there always exists at least one prime number $p$ with $n < p< n+\left(\ln\Big(\frac{n}{\ln n}\Big)+1\right)^2$

A rearrangement inequality for exponentiation function

Are these points known? [closed]

An new equilateral triangle related to the Morley triangle

Relative to Isoperimetric inequality with n-polygon

A generalization of the Sawayama-Thebault theorem

An inequality of a cyclic polygon

$\sum_{k=1}^n(-1)^k\frac{\sin kx}{k^{\alpha}} < 0 ?$ with $\alpha \ge 1$ and $n=1, 2,\cdots$