论文标题
毕达哥拉斯定理和通常代数规范的概括的新证明
A new proof of the Pythagorean Theorem and generalization of the usual algebra norm
论文作者
论文摘要
提出了毕达哥拉斯定理的新证明，利用乔治·伯克霍夫（George Birkhoff）的欧几里得几何图形版本作为结合了实数领域。推出机理的外推会导致对与实际有限维的联合缔合代数相关的常规代数规范的概括，并导致新颖的计算易于访问的代数同构不变性。
A new proof of the Pythagorean Theorem is presented, utilizing George Birkhoff's version of the postulates of Euclidean geometry as incorporating the field of real numbers. Extrapolation of the mechanism of proof leads to a generalization of the usual algebra norm associated with a real finite-dimensional unital associative algebra, and resulting novel computationally accessible algebra isomorphism invariants.
