“Helmholtz's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Helmholtz's Theorem

释义

Helmholtz's Theorem

Any Vector Field satisfying

			(1)
			(2)

may be written as the sum of an Irrotational part and a Solenoidalpart,

(3)

where for a Vector Field

			(4)
			(5)

See also Irrotational Field, Solenoidal Field, Vector Field

References

Arfken, G. ``Helmholtz's Theorem.'' §1.15 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 78-84, 1985.

Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, pp. 1084, 1980.

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