“Bring-Jerrard Quintic Form”的概念、定义、习题解题方法及翻译-数学辞典

单词

Bring-Jerrard Quintic Form

释义

Bring-Jerrard Quintic Form

A Tschirnhausen Transformation can be used to algebraically transform a general Quintic Equation to the form

(1)

In practice, the general quintic is first reduced to the Principal Quintic Form

(2)

before the transformation is done. Then, we require that the sum of the third Powers of theRoots vanishes, so

. We assume that the Roots

of the Bring-Jerrardquintic are related to the Roots

of the Principal Quintic Form by

(3)

In a similar manner to the Principal Quintic Form transformation, we can express theCoefficients

in terms of the

See also Bring Quintic Form, Principal Quintic Form, Quintic Equation

随便看

数学辞典收录了8975条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。