Non-Linear Functional Relationship Between Two Variables When One Variable is Controlled

1953 ◽  
Vol 48 (261) ◽  
pp. 94-103 ◽  
Author(s):  
R. C. Geary
Keyword(s):  
Linear Functional ◽  
Functional Relationship ◽  
Non Linear

Inference in a linear functional relationship with replications

2021 ◽  
Vol 35 (3) ◽  
Author(s):  
Julio Hokama ◽  
Pedro Morettin ◽  
Heleno Bolfarine ◽  
Manuel Galea
Keyword(s):  
Linear Functional ◽  
Functional Relationship

A Variable Step Size LMS Adaptive Filtering Algorithm and Simulations Based on Computational Verb Theory

2013 ◽  
Vol 756-759 ◽  
pp. 3972-3976 ◽  
Author(s):  
Li Hui Sun ◽  
Bao Yu Zheng
Keyword(s):  
Adaptive Filtering ◽  
Adaptive Algorithm ◽  
Linear Functional ◽  
Functional Relationship ◽  
Lms Algorithm ◽  
Variable Step Size ◽  
Step Size ◽  
Filtering Algorithm ◽  
Variable Step ◽  
Simulation Results

Based on traditional LMS algorithm, variable step LMS algorithm and the analysis for improved algorithm, a new variable step adaptive algorithm based on computational verb theory is put forward. A kind of sectorial linear functional relationship is established between step parameters and the error. The simulation results show that the algorithm has the advantage of slow change which is closely to zero. And overcome the defects of some variable step size LMS algorithm in adaptive steady state value is too large.

On a Theorem of Beurling and Livingston

1965 ◽  
Vol 17 ◽  
pp. 367-372 ◽  
Author(s):  
Felix E. Browder
Keyword(s):  
Banach Space ◽  
Fourier Series ◽  
Banach Spaces ◽  
General Result ◽  
Functional Equations ◽  
Linear Functional ◽  
Monotone Mappings ◽  
Conjugate Space ◽  
Non Linear ◽  
Duality Mappings

In their paper (1), Beurling and Livingston established a generalization of the Riesz-Fischer theorem for Fourier series in Lp using a theorem on duality mappings of a Banach space B into its conjugate space B*. It is our purpose in the present paper to give another proof of this theorem by deriving it from a more general result concerning monotone mappings related to recent results on non-linear functional equations in Banach spaces obtained by the writer (2, 3, 4, 5) and G. J. Minty (6).

An approximate conditional analysis of the linear functional relationship

1987 ◽  
Vol 28 (1) ◽  
pp. 183-202 ◽  
Author(s):  
H. Schneeweiß ◽  
D. A. Sprott ◽  
R. Viveros
Keyword(s):  
Linear Functional ◽  
Functional Relationship ◽  
Conditional Analysis
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