摘要
如果某一知识跟很多学科或者一个学科的很多分支有着密切联系,那么这个知识肯定是很重要的,而二次型、欧式空间内积、詹森不等式都是高等数学中代数、实函、微积分的基本内容。本文运用二次型理论、欧式空间中内积性质和詹森(Jensen)不等式三种方法证明柯西不等式,并简要说明柯西不等式与高等数学之间的联系。
If the knowledge was closely related the many disciplines or many branches of a discipline, then this knowledge is certainly important, but the quadratic form,european space inner product,Jensen inequality are basic content of algebra, real letters, calculus in higher mathematics. In this paper, quadratic form theory, the European space inner product nature and Jensen （Jensen） inequality are throe ways to prove cauchy inequality, and bthe relation between Cauchy inequality and higher mathematics was illustrated briefly.
出处
《价值工程》
2010年第11期210-210,共1页
Value Engineering
关键词
柯西不等式
二次型
内积
詹森不等式
Cauchy inequality
quadratic form
inner product
Jensen inequality
