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- Let(a,b,c) be a primitive Pythagorean triple with a is even. In this paper we prove that if c is a prime power,then the equation x~2+b~y=c~z has only the positive integer solution(x,y,z)=(a,2,2) with y is even. 设(a;b;c)是一组适合a为偶数的本原商高数;该文证明了:当c是素数方幂时;方程x2+by=cz仅有正整数解(x;y;z)=(a;2;2)可使y是偶数.
- primitive Pythagorean triple 本原商高数
- In this paper,we proposed the average order of the Primitive Pythagorean triplets on Diophantine equation a+4+b+2=c+2, and presented one asymptotic estimation formula. 研究了不定方程 a4+b2 =c2 的整数解的组数 ;并得到它的一个渐近估计式 .
- All irreducible Pythagorean triples less than 500 are calculated and listed in this paper. 最后列出了500以内的互素勾股数表。
- The method of deducing Pythagorean Triples (irreducible and reducible) is explained. 并说明了互素勾股数组的导出方法。
- Complex parameters of triples are introduced.Two expressions of Pythagorean triples are derived. 用复数参量导出勾股数的表示式，由这种表示式讨论了勾股数的性质。
- Knowledge of Pythagorean triples, knowledge of the relationship between the sides of a right triangle, and proofs of the theorem. 这个定理的历史可以被分成三个部份。
- From 200 BC to 200 AD, Pythagorean triples appear in The Nine Chapters on the Mathematical Art, together with a mention of right triangles. 约前200年至公元200年之间,算数九章记载了这个定理。
- He received triple pay for his extra work. 他因超额工作得到三倍的报酬。
- His art is primitive and provincial. 他的艺术原始而粗野。
- Primitive people often lived in caves. 原始人常常住在山洞里。
- Primitive peoples deified the sun. 原始部落将太阳奉为神。
- They built a primitive shelter out of tree trunks. 他们用一些树干建造了一个简陋的棚子。
- Primitive man made tools from sharp stones and animal bones. 原始人用尖石块和动物的骨制造工具。
- Composed of three parts; threefold; triple. 三倍的，三重的，三部分的由三部分组成的，三重的
- A primitive hand-turned grain mill. 手推磨一种原始的手推碾谷磨
- Pythagorean triple group 勾股数组
- The book is about the mythologies of primitive races. 这本书是原始民族神话集。
- Primitive in culture and customs; uncivilized. 野蛮的，未开化的文化和习惯原始的; 不文明的
- Small seashells were often used as a primitive kind of money. 小贝壳常被用作简单的货币。
