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surface integral

noun, Mathematics
1.
the limit, as the norm of the partition of a given surface into sections of area approaches zero, of the sum of the product of the areas times the value of a given function of three variables at some point on each section.
Origin
1870-1875
1870-75
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Examples for surface integral
  • For anisotropic surfaces, the energy functional is a surface integral:.
  • For failures due to surface defects, the probability of failure is given by a surface integral similar to the expression.

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