# influence function

## influence function

[′in‚flü·əns ‚fəŋk·shən]
(petroleum engineering)
Mathematical statement of the influence on pressure and production of each oil reservoir pool in a multipool aquifer.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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and Jarosz, A.: 1990, Recent developments in the application of the influence function method for ground movement predictions in the US.
where W is the component width, b = W - a defines the uncracked ligament, [iota] represents additional characteristic length for the component, and [h.sub.1] is the plastic influence function dependent on crack size, specimen geometry, and strain-hardening exponent.
To date, several methods can be used to predict the surface subsidence, including profile function [8], modelling [9], and influence function [10-12] methods.
Defining x as the residual error, mathematically, [rho](x) could be an even positive function with a unique minimizer at x = 0 Derivative of [rho](x) with respect to [X.sub.H], denoted [phi](x) = ([partial derivative]/[partial derivative] [X.sub.H])[rho](x)) is called the influence function, and can be used to define the bias that a particular observation has on the solution [26].
Considering the last two sources of the numerical instabilities in NOSB-PD and the method to suppress these instabilities, this study first presents the constitutive modeling and the numerical implementation of nonordinary state-based peridynamics corresponding to the classical elastic model, and then the penalty instability control method with a decreasing influence function is employed and studied in detail.
Secondly, the method of Recentered Influence Function Regression (RIF) was employed to estimate directly the impact of the explanatory variables on the distributional statistic of interest.
Figure 1 denotes the performance of different robust functions in the analysis of the influence function (IF) representing the sensitivity of the function with respect to error or contamination related to gross errors and outliers (Zhang et al., 2010; Prata, Schwaab, Lima, & Pinto, 2010).
M2 EQUITYBITES-January 18, 2016-PRA prohibit former Co-op Bank individuals from holding singnificant influence function
BANKING AND CREDIT NEWS-January 18, 2016-PRA prohibit former Co-op Bank individuals from holding singnificant influence function
The PRA said both men have been banned from "a significant influence function" in any bank, building society or insurer regulated by the body.
while [phi](r) = [(1 + r).sup.-2[beta]], [beta] > 0 is the influence function. The system (1.1) can be rewritten in the form
Influence Function: it adjusts the individual knowledge of the population space according to the knowledge of the belief space.

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