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integrands's Usage Examples:

In the presence of a metric, it can be extended to continuous integrands via the Gauss–Bonnet theorem.

} This is not the best approach for all integrands: another transformation may be appropriate, or one might prefer to break.

lead to completely incorrect results, as the quadrature sum is (for most integrands of interest) highly ill-conditioned.

Also, Clenshaw–Curtis shares the properties that Gauss–Legendre quadrature enjoys of convergence for all continuous integrands f and.

(non-analytic) integrands.

u}{\partial y}}-{\frac {\partial v}{\partial x}}} We therefore find that both integrands (and hence their integrals) are zero ∬ D ( − ∂ v ∂ x − ∂ u ∂ y ) d x d.

the complexity of the integration problem in the worst-case setting for integrands of smoothness.

Differential forms provide a unified approach to define integrands over curves, surfaces, solids, and higher-dimensional manifolds.

This is possible because most numeric integrands are not polynomials (especially since polynomials can be integrated analytically).

be used for integrands having integer and/or fractional exponents.

A different approach to the Reifenberg problem for elliptic integrands has been recently.

integrals on the right-hand side are the usual Riemann integral (the integrands are integrable because they are monotone in x {\displaystyle x} ).