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- W2004565219 abstract "A new gradient operator was derived in recent studies of topological structures and shape transitions in biomembranes. Because this operator has widespread potential uses in mechanics, physics, and biology, the operator's general mathematical characteristics should be investigated. This paper explores the integral characteristics of the operator. The second divergence and the differential properties of the operator are used to demonstrate new integral transformations for vector and scalar fields on curved surfaces, such as the second divergence theorem, the second gradient theorem, the second curl theorem, and the second circulation theorem. These new theorems provide a mathematical basis for the use of this operator in many disciplines." @default.
- W2004565219 created "2016-06-24" @default.
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- W2004565219 date "2005-06-01" @default.
- W2004565219 modified "2023-10-16" @default.
- W2004565219 title "Integral theorems based on a new gradient operator derived from biomembranes (part I): Fundamentals" @default.
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- W2004565219 doi "https://doi.org/10.1016/s1007-0214(05)70083-3" @default.
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