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Approximation of the Complementary Error Function
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1995The author gives a simple approximation to the complementary error function.
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Cubature Error Constants for Analytic Functions
SIAM Journal on Numerical Analysis, 1974The purpose of this paper is to present a method for estimating the error constants required for the application of a cubature error bound due to Chawla [2].
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Specification Error Tests and Investment Functions
Econometrica, 1976This paper analyzes three quarterly investment models for the detection of certain specifi- cation errors. The models are those of Anderson (1 and 2), Eisner (4), and Meyer-Glauber (10). The models are applied to thirteen manufacturing industries. A set of specification error tests developed by Ramsey (12, 13, and 14) are applied to the above models so
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Error and probability functions
2017Like the gamma and psi functions, the functions treated in this chapter are among the most important of the special functions.
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Functional inequalities for the error function, II
Aequationes mathematicae, 2009Let $${\rm erf}(x) = \frac{2} {\sqrt{\pi}} \int_0^x e^{-t^{2}} dt$$ be the error function. We prove that the following inequalities are valid for all positive real numbers x, y with \(x \leq y\): $${\rm erf}(1) < \frac {{\rm erf} (x + {\rm erf}(y))} {{\rm erf}(y + {\rm erf}(x))} < \frac{2} {\sqrt{\pi}} \quad {\rm and} \quad 0 < \frac{{\rm ...
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Towards complete and error-free genome assemblies of all vertebrate species
Nature, 2021Arang Rhie +2 more
exaly
Tuning of PID controller using sigmoidal weighted error function
2017 Innovations in Power and Advanced Computing Technologies (i-PACT), 2017Bharat Verma, P. K. Padhy
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Realizing repeated quantum error correction in a distance-three surface code
Nature, 2022Sebastian Krinner +2 more
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