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Đào Thanh Oai's user avatar
Đào Thanh Oai's user avatar
Đào Thanh Oai's user avatar
Đào Thanh Oai
  • Member for 6 years, 8 months
  • Last seen this week
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accepted
Inequality $(a_1^x+a_2^x+\cdots+a_n^x)^y \ge (a_1^y+a_2^y+\cdots+a_n^y)^x$
asked
Inequality $(a_1^x+a_2^x+\cdots+a_n^x)^y \ge (a_1^y+a_2^y+\cdots+a_n^y)^x$
comment
In arbitrary cyclic polygon then $\sum_{i<j} x_{ij}^\alpha \ge \sum_{i<j} y_{ij}^\alpha $
Thank you very much for your answer.
comment
In arbitrary cyclic polygon then $\sum_{i<j} x_{ij}^\alpha \ge \sum_{i<j} y_{ij}^\alpha $
Thank you very much for your answer.
comment
Generalization of Tucker circle, Conway circle and van Lamoen circle
Thank you very much for your solution
accepted
Generalization of Tucker circle, Conway circle and van Lamoen circle
comment
Generalization of Tucker circle, Conway circle and van Lamoen circle
When (What are the additional conditions?) is converse theorem right?
comment
In arbitrary cyclic polygon then $\sum_{i<j} x_{ij}^\alpha \ge \sum_{i<j} y_{ij}^\alpha $
Can you fully prove with any $n \ge 4$
comment
Generalization of Tucker circle, Conway circle and van Lamoen circle
@ToniMhax Thank to You
comment
Generalization of Tucker circle, Conway circle and van Lamoen circle
@ToniMhax Your answer is exactly
comment
In arbitrary cyclic polygon then $\sum_{i<j} x_{ij}^\alpha \ge \sum_{i<j} y_{ij}^\alpha $
I am very happy. Please publish in on answer box or a journal. @ToniMhax
comment
In arbitrary cyclic polygon then $\sum_{i<j} x_{ij}^\alpha \ge \sum_{i<j} y_{ij}^\alpha $
@FedorPetrov I mean $B_1, B_2,…,B_n$ be $n$ points lie on circle $(O)$
comment
Generalization of Tucker circle, Conway circle and van Lamoen circle
See also: Carnot theorem
revised
Generalization of Tucker circle, Conway circle and van Lamoen circle
edited tags
revised
In arbitrary cyclic polygon then $\sum_{i<j} x_{ij}^\alpha \ge \sum_{i<j} y_{ij}^\alpha $
edited tags
comment
Another Butterfly theorem — Conway like circle
Yes, proof is easy
asked
Another Butterfly theorem — Conway like circle
revised
An inequality in cyclic polygon and tangential polygon
Correc Typo
suggested
Approve
An inequality in cyclic polygon and tangential polygon
revised
An inequality in cyclic polygon and tangential polygon
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