scholarly journals Converting affine recurrence equations to quasi-uniform recurrence equations

2006 ◽  
pp. 319-328 ◽  
Author(s):  
Yoav Yaacoby ◽  
Peter R. Cappello
Keyword(s):  
Recurrence Equations

Unified summation equations and their applications in tribology wear process

2013 ◽  
Vol 61 (2) ◽  
pp. 405-417 ◽  
Author(s):  
K. Wierzcholski
Keyword(s):  
Translation Operator ◽  
Wear Process ◽  
Recurrence Equations ◽  
New Form

Abstract This paper presents some applications of summation equations with regard to the calculation prognosis of micro-bearing wear parameters. Summation equations are presented in a new form of difference and recurrence equations where the unknown micro-bearing wear function occurs as the argument of the reciprocal unified operator of summation (UOS). In this paper the properties of the UOS and reciprocal UOS as well as the unitary translation operator (UTO) are defined and applied to a micro-bearing wear determination. The approach of both dual and interaction between summation and recurrence equations and micro-bearing wear determination, makes this paper unique.

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