OATH
发表于 2025-3-25 07:11:31
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抛射物
发表于 2025-3-25 09:55:04
Homogeneous Symmetric Polynomial Geometric Inequalities, the form p(a, b, c) 0 or p(a, b, c) 0 where p(a, b, c) is a symmetric and homogeneous polynomial of degree n in the real variables a, b, c representing the sides of a triangle. They gave the general solution for such inequalities if n ≤ 3.
Spongy-Bone
发表于 2025-3-25 13:54:14
Some Other Transformations,n use these results for generating many other inequalities, i.e. using any known inequality for the sides of a triangle ., and any result from I.3, we get the inequality ., where a., b., c. are the sides of a new triangle given as in I.3.
脾气暴躁的人
发表于 2025-3-25 18:33:14
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营养
发表于 2025-3-25 22:57:07
Homogeneous Symmetric Polynomial Geometric Inequalities, the form p(a, b, c) 0 or p(a, b, c) 0 where p(a, b, c) is a symmetric and homogeneous polynomial of degree n in the real variables a, b, c representing the sides of a triangle. They gave the general solution for such inequalities if n ≤ 3.
PANIC
发表于 2025-3-26 00:43:15
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Resection
发表于 2025-3-26 07:16:07
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少量
发表于 2025-3-26 10:51:23
Special Triangles,ng a. + b. + c. = 8R. is a right triangle. Starting from these well-known properties V. Devidé has investigated at length the special class of triangles defined by a. + b. + c. = 6R.. O. Bottema considered the general class of triangles (k-triangles) defined by a. + b. + c. = kR.. In it
Cholagogue
发表于 2025-3-26 12:37:22
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ANTE
发表于 2025-3-26 20:35:20
Some Trigonometric Inequalities, that many of these inequalities are still valid for real numbers A, B, C which satisfy the condition . where p is a natural number (which has to be odd in some cases). This also applies to the inequality of M. S. Klamkin which can be specialized in many ways to obtain numerous well known inequalities.