Results 181 to 190 of about 1,661,444 (217)
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1995
Abstract In previous chapters we have made use of the sum-of-squares error function, which was motivated primarily by analytical simplicity. There are many other possible choices of error function which can also be considered, depending on the particular application.
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Abstract In previous chapters we have made use of the sum-of-squares error function, which was motivated primarily by analytical simplicity. There are many other possible choices of error function which can also be considered, depending on the particular application.
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The zeros of the complementary error function
Numerical Algorithms, 2008We show that the complementary error function, $\text{erfc} (z)= \frac{2}{\sqrt{\pi}}\int_z^{\infty}{e^{-s^2} \text{d}s}$ , has no zeros in $\text{D}= \left\{ z : \frac{3}{4} \ \pi \le Arg z
LAFORGIA, Andrea Ivo Antonio, A. ELBERT
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Functional inequalities for the error function
Aequationes mathematicae, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The location of errors in functional programs
2005Programmers using imperative languages have a number of well-established debugging tools available to them; functional programmers have few, if any, tools available. Many of the tools and techniques developed for debugging functional programs are based on those for imperative programming and lack a theoretical basis relevant to functional programming ...
Jonathan E. Hazan, Richard G. Morgan
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A Cauchy-Type Functional Inequality for the Error Function
Results in Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alzer, Horst, Kwong, Man Kam
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A Kuczma-type functional inequality for error and complementary error functions
Aequationes mathematicae, 2014The error, resp. complementary error functions are defined by \[ \text{erf}(x)= {2\over\sqrt{\pi}} \int^x_0 e^{-t^2}\,dt, \] and \(\text{erf}_c(x)= 1-\text{erf}(x)\). Inspired by an interesting functional equation by \textit{M. Kuczma} [Rocz. Nauk.-Dydakt., Pr. Mat. 13, 197--213 (1993; Zbl 0964.39501)], namely \(x+ F(y+G(x))= y+F(x+ G(y))\), the author
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On the information function of an error correcting code
Proceedings of IEEE International Symposium on Information Theory, 1997An `information function' \(e_h\) of a code has been defined as the average amount of information contained in \(h\) positions of the codewords. Upper and lower bounds on the information function of binary linear codes have been derived. Also, the average value and variance of the information function over all \((n,k)\) codes have been obtained.
Tor Helleseth +2 more
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Computation of the Complex Error Function
SIAM Journal on Numerical Analysis, 1994The 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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Errors in Training Computer Skills: on the Positive Function of Errors
Human–Computer Interaction, 1991Traditionally, errors are avoided in training. In contrast to this approach, it is argued that errors can also have a positive function and that one has to learn to deal efficiently with errors on a strategic and an emotional level (error management). An experiment tested these assumptions. One group (n = 9) received guidance for error-free performance;
Michael Frese +5 more
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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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