surface integral

noun Mathematics.
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.

1870–75 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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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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