error function

[′er·ər ‚fəŋk·shən]

(mathematics)

The real function defined as the integral from 0 to x of e ^{-t ²} dt or e ^{t ²} dt, or the integral from x to ∞ of e ^{-t ²} dt.

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Assuming sources of random error have been reduced by study design, the remaining source of error is the systematic error function h, meaning that the RM is not commutable with MP6.

IFCC Working Group Recommendations for Assessing Commutability Part 3: Using the Calibration Effectiveness of a Reference Material

Let us now show the relationship between this function and other standard special functions (integral of error function) [4] as error function and cumulative distribution function for normal distribution in the context of its use.

A New Special Function and Its Application in Probability

Applicability of linear Dubinin-Radushkevich model was found better than nonlinear due to small value of error function (except ARE).

Study of Isothermal, Kinetic, and Thermodynamic Parameters for Adsorption of Cadmium: An Overview of Linear and Nonlinear Approach and Error Analysis

(4) Let W denote the weights matrix that consists of all weights and [phi] = {W | [D.sup.V.sub.W][E.sub.L2] = 0} be the v-order stationary point set of the error function. One necessary condition is that [phi] is a finite set.

Fractional-Order Deep Backpropagation Neural Network

Caption: Figure 5: Error function fitting curve for OPC-[H.sub.2]O.

Chloride Ingress in Chemically Activated Calcined Clay-Based Cement

Our experiment demonstrates that the levels of [+ or -]EV images can be estimated using the Gauss error function of the average level with an exposure value.

DCT-Based HDR Exposure Fusion Using Multiexposed Image Sensors

The training of the ciphertext in the training set is performed, the ciphertext is input and the corresponding result is output, and the result is XORed with the original plaintext, and the weight is continuously corrected according to the error function.

Research on Plaintext Restoration of AES Based on Neural Network

where [e.sub.N](t) = x(t) - [x.sub.N](t) and [[epsilon].sub.N](t) = y(t) - [y.sub.N](t) are the error functions.

HIGH-ORDER LEGENDRE COLLOCATION METHOD FOR FRACTIONAL-ORDER LINEAR SEMI-EXPLICIT DIFFERENTIAL ALGEBRAIC EQUATIONS

The minimization of this error function is equivalent to the basic statistical maximum likelihood principle only if the probability density function (pdf) of outputs is normal [8].

Adjusting Neural Network to a Particular Problem: Neural Network-Based Empirical Biological Model for Chlorophyll Concentration in the Upper Ocean

With this approach, the weight of the injection with longer ET in the error function will be dominant over that of injection with shorter ET.

Experimental and Numerical Assessment of Multi-Event Injection Strategies in a Solenoid Common-Rail Injector

An adaptive filter is called a self-modifying digital filter because it is a structure with a linear filter which has a transfer function precise by different parameters and it is used to adjust those parameters permitting to an optimization algorithm that can adjusts its coefficients in order to minimize an error function stated as like the cost function, is a difference between the desired or reference signal and the output of the adaptive filter.

SYSTEM IDENTIFICATION THROUGH DIFFERENT VARIANTS OF ADAPTIVE ALGORITHM

The error function of [L.sub.1] norm is [rho](x) = [absolute value of x], and [phi](x) = sign(x).

An adaptive parameter estimation in a BTV regularized image super-resolution reconstruction