Results 121 to 130 of about 1,631,794 (168)

Functional inequalities for the error function

Aequationes mathematicae, 2003
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Computation of the Complex Error Function

SIAM Journal on Numerical Analysis, 1994
The paper gives an expansion of the error function (normal probability function) for complex values of the argument. The expansion is in terms of rational functions. Asymptotic properties of the coefficients of the expansion are studied and a compact Matlab program is given. A comparison is made with other algorithms from the literature.
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Approximation of the Complementary Error Function

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1995
The 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, 1974
The 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, 1976
This 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

2017
Like 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, 2009
Let $${\rm erf}(x) = \frac{2} {\sqrt{\pi}} \int_0^x e^{-t^{2}} dt$$ 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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Error Function Subroutine

American Journal of Physics, 1974
Donald L. Shirer, Robert M. Hashway
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Realizing repeated quantum error correction in a distance-three surface code

Nature, 2022
Sebastian Krinner, Nathan Lacroix, Ants Remm   +2 more
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Exponential suppression of bit or phase errors with cyclic error correction

Nature, 2021
Kevin J Satzinger, Andrew Dunsworth, Daniel Sank   +2 more
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