“Poincaré Separation Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Poincaré Separation Theorem

释义

Poincaré Separation Theorem

Let be a set of orthonormal vectors with , 2, ..., , such that the Inner Product . Then set

(1)

so that for any Square Matrix

for which the product

is defined, the correspondingQuadratic Form is

(2)

Then if

(3)

for

, 2, ...,

, it follows that

(4)

(5)

for

, 2, ...,

and

, 1, ...,

References

Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, p. 1120, 1979.

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