quadgF approximates (1.2) in the sense of backward error.

Also, quadgF approximates the complex integral (1.5), so we must apply the real function to Q to approximate the given integrand.

They implement it as an iterative, non-adaptive scheme that attempts to approximate (1.1) to a specified accuracy.

This table presents data for adjusted gross income (total and for selected sources), number of returns (which approximates the number of households), and number of personal exemptions (which approximates the population).

Statistics are available for Tax Years 2002 and 2004-2008 on CD-ROM showing the number of individual income tax returns; the total number of exemptions and number of dependent exemptions (which approximates population); adjusted gross income; salaries and wages; taxable interest; total tax; and contributions; by State and 5-digit ZIP Code.

Morrison can only approximate Sula's loneliness through a catalog of "lost" items:

Thus, tropes such as Sethe's breasts come to approximate the confluence of emotions (guilt, shame, rage, grief, insecurity, terror, numbness .

Red heart and rooster approximate each other, even as they trope toward some more ambiguous meaning.

Those who support reporting value changes in the financial statements note that when cash flows generated by real estate assets are capitalized, the resulting amounts often

approximate the market values of those assets and generally exceed their historical cost amounts.

Larry Laudan, however, (in his [1981]), finds the idea of approximate truth in current forms of SR too ill defined for us to tell whether a theory's having it entails and so even possibly explains its empirical success.

But Laudan has also accused SRs of affirming the consequent in inferring from the empirical adequacy of a theory to its approximate truth.

warranted approximate truth is distinguished from empirical adequacy by a condition on a theory's being known to be approximately true: the U-statements of all empirically adequate possible theories (A-theories) must be known to resemble (beyond making the same predictions) by, say, Niiniluoto's measure, M, in some degree m, and no empirically inadequate theories (non-A- theories) may resemble the A-theories by M in degree m or greater.