Local Non-linear Functions of Quantum Fields

1970 ◽  
pp. 188-210
Author(s):  
Irving Segal
Keyword(s):  
Linear Functions ◽  
Quantum Fields ◽  
Non Linear

Solvent Polarity Studies of the Water+t-Butyl Alcohol and Water+t-Butylamine Binary Systems With the Solvatochromic Dyes Nile Red and Pyridinium-N-phenoxide Betaine, Refractometry and Permittivity Measurements

1994 ◽  
Vol 47 (9) ◽  
pp. 1771 ◽  
Author(s):  
PK Kipkemboi ◽  
AJ Easteal
Keyword(s):  
Binary Systems ◽  
Hydrophobic Interactions ◽  
Nile Red ◽  
Solvent Polarity ◽  
Butyl Alcohol ◽  
Linear Functions ◽  
Non Linear ◽  
Organic Cosolvent ◽  
Two Parameters ◽  
Polarity Parameters

The empirical solvent polarity parameters ENR and ET for the solvatochromic compounds Nile Red (1) and pyridinium-N-phenoxide betaine (2), respectively, have been determined as a function of composition for water+t -butyl alcohol and water+t-butylamine binary mixtures, over the whole composition range at 298 K. For both systems the two parameters vary with composition in a strongly non-linear fashion, and the polarity of the mixture decreases with increasing proportion of the organic cosolvent. The non-linear variation of the polarity parameters is attributed to water-cosolvent hydrophobic interactions at low cosolvent contents, and hydrogen-bonding interactions at higher cosolvent contents. Permittivity and refractive index have also been measured at 298 K for both systems, and both properties are strongly non-linear functions of composition.

Separate and/or simultaneous generations of non-linear functions inherent in non-ohmic resistivities

1976 ◽  
Vol 18 (1) ◽  
pp. 51-61
Author(s):  
Yasuhiro Kobayashi∗ ◽  
Masaaki Ohkita ◽  
Michio Inoue ◽  
Masao Nakamura
Keyword(s):  
Linear Functions ◽  
Non Linear

scholarly journals Family of controllers based on sector non-linear functions: an application for first-order dynamical systems

2020 ◽  
Vol 14 (10) ◽  
pp. 1387-1392
Author(s):  
Marlen Meza-Sánchez ◽  
Maria del Carmen Rodríguez-Liñán ◽  
Eddie Clemente
Keyword(s):  
Dynamical Systems ◽  
Linear Functions ◽  
First Order ◽  
Non Linear

scholarly journals Predictive modelling to support sensitivity analysis for robust design in aerospace engineering

2020 ◽  
Vol 61 (5) ◽  
pp. 2177-2192 ◽  
Author(s):  
Siva Krishna Dasari ◽  
Abbas Cheddad ◽  
Petter Andersson
Keyword(s):  
Sensitivity Analysis ◽  
Response Surface ◽  
Robust Design ◽  
Aerospace Engineering ◽  
Multivariate Adaptive Regression Splines ◽  
Linear Functions ◽  
Computational Time ◽  
Surface Modelling ◽  
Non Linear ◽  
Response Surface Modelling

AbstractThe design of aircraft engines involves computationally expensive engineering simulations. One way to solve this problem is the use of response surface models to approximate the high-fidelity time-consuming simulations while reducing computational time. For a robust design, sensitivity analysis based on these models allows for the efficient study of uncertain variables’ effect on system performance. The aim of this study is to support sensitivity analysis for a robust design in aerospace engineering. For this, an approach is presented in which random forests (RF) and multivariate adaptive regression splines (MARS) are explored to handle linear and non-linear response types for response surface modelling. Quantitative experiments are conducted to evaluate the predictive performance of these methods with Turbine Rear Structure (a component of aircraft) case study datasets for response surface modelling. Furthermore, to test these models’ applicability to perform sensitivity analysis, experiments are conducted using mathematical test problems (linear and non-linear functions) and their results are presented. From the experimental investigations, it appears that RF fits better on non-linear functions compared with MARS, whereas MARS fits well on linear functions.

NLHB : A light-weight, provably-secure variant of the HB protocol using simple non-linear functions

2010 ◽  
Author(s):  
Mukundan Madhavan ◽  
Andrew Thangaraj ◽  
Kapali Viswanathan ◽  
Yogesh Sankarasubramaniam
Keyword(s):  
Linear Functions ◽  
Light Weight ◽  
Non Linear ◽  
Provably Secure

The relationship between nitrogen supply and the nitrogen yield of cut grass swards

1977 ◽  
Vol 88 (2) ◽  
pp. 289-292 ◽  
Author(s):  
I. R. Richards ◽  
R. D. Hobson
Keyword(s):  
Nitrogen Supply ◽  
Linear Functions ◽  
Available Nitrogen ◽  
England And Wales ◽  
Nitrogen Yield ◽  
Non Linear ◽  
Using Data ◽  
The Relationship ◽  
Potential Maximum ◽  
Better Than

SUMMARYUsing data from 140 experiments conducted at sites throughout England and Wales, a relationship between nitrogen supply and the nitrogen yield of cut grass swards was sought. One linear and three non-linear functions were fitted to the data. The non-linear functions fitted the data slightly better than did the linear and, over the range in nitrogen supply normally found, provided consistent predictions of grass nitrogen yield. The recovery of available nitrogen in the herbage was found to decline with level of nitrogen supply from a potential maximum of 79%.

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