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arXiv math/0511411math.OAmath.RA
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两个正定字母的字的特征值

Eigenvalues of Words in Two Positive Definite Letters

Christopher J Hillar, Charles R Johnson

摘要:

是否所有的词在两个真正的正定字母只有积极的特征值的问题是解决和解决(消极)。这个问题在一段时间以前就被提出来,与理论物理学中一个长期存在的问题有关。一大类的话,保证积极的特征值确定,并提供了相当多的证据的猜想,没有其他的话。在这个过程中,遇到了一个关于对称字方程的可解性的基本问题。

英文摘要:

The question of whether all words in two real positive definite letters have only positive eigenvalues is addressed and settled (negatively). This question was raised some time ago in connection with a long-standing problem in theoretical physics. A large class of words that do guarantee positive eigenvalues is identified, and considerable evidence is given for the conjecture that no other words do. In the process, a fundamental question about solvability of symmetric word equations is encountered.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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