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单词 Simpson's rule
释义 Simpson's rule
[`sim·sǝnz ´rül]
MATHEMATICS
1. Also known as parabolic rule.
2. A basic approximation formula for definite integrals which states that the integral of a real-valued function f on an interval [a,b] is approximated by h[f (a ) + 4f (g + h ) + f (b )]/3, where h = (b - a )/2; this is the area under a parabola which coincides with the graph of f at the abscissas a, a + h, and b.
3. A method of approximating a definite integral over an interval which is equivalent to dividing the interval into equal subintervals and applying the formula in the first definition to each subinterval.
PETROLEUM ENGINEERING
A mathematical relationship for calculating the oil- or gas-bearing net-pay volume of a reservoir; uses the contour lines from a subsurface geological map of the reservoir, including gas-oil and gas-water contacts.
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