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1)  Pythagorean proposition arithmetic
勾股算术
2)  pythagorean orthogonality
勾股正交
1.
In this paper we carefully investigated some relationships between Birkhoff orthogonality duality map, and isosceles orthogonality, pythagorean orthogonality, and Roberts orthogonality, some characteristics of inner product spaces are also given.
讨论了Birkhoff正交性与对偶映射、等腰正交性、勾股正交性和Roberts正交性之间联 系,给出了内积空间的特征性质。
3)  Pythagorean triple group
勾股数组
1.
This paper deduced the Pythagorean triple group formula and the double angle formula for trigonometric function via two different expressions(algebraic form and trigonometric form) of complex numbers and through the process of finding the modulus by using the binomial theorem.
本文通过复数的两种不同表达形式(代数式和三角式),利用二项式定理求其模,推导出勾股数组公式和三角函数的倍角公式。
4)  pythagorean theorem
勾股定理
1.
Space pythagorean theorem and space pythagorean number;
空间勾股定理及空间勾股数
2.
The enlightenment of the evolvement of Pythagorean theorem to the modern mathematics teaching;
勾股定理的演变对现代数学教学的启示
5)  pythagorean number
勾股数
1.
Space pythagorean theorem and space pythagorean number;
空间勾股定理及空间勾股数
6)  right angles theorem
勾股定理
1.
Let (E,S,Ω,f)be a random inner product space, the scharwz inequality, Riesz theorem, right angles theorem and some other results in (E,S,Ω,f) are proved.
设(E,S,Ω,f)是随机内积空间,证明了Scharwz不等式、Riesz表示定理及勾股定理等若干结论。
2.
From view of multi-culture, the right angles theorem was all inheritance of common mankind, it was for the tree indivisibility of world mathematics and international community all very pay attention to its value of social culture, almost whole world high school mathematics course was all introductive contents.
从多元文化的视角看,勾股定理是全人类共同的遗产,是根深叶茂的世界数学之树不可分割的一枝,世界各国都非常重视勾股定理的社会文化价值,几乎全世界中学数学课程中都介绍勾股定理。
补充资料:勾股
1.直角三角形夹直角的两边﹐短边为"勾"﹐长边为"股";在立竿测太阳高度时﹐日影为勾﹐标竿为股。广义说法﹐包括勾股定理的研究和应用。参阅《周髀算经》卷上。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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