Distributed integer weight balancing within interval constraints

2016 ◽  
Author(s):  
Apostolos I. Rikos ◽  
Christoforos N. Hadjicostis
Keyword(s):  
Interval Constraints ◽  
Integer Weight

scholarly journals CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK

2010 ◽  
Vol 06 (02) ◽  
pp. 281-309 ◽  
Author(s):  
F. G. GARVAN
Keyword(s):  
Partition Function ◽  
Rank Function ◽  
Maass Forms ◽  
Hecke Eigenforms ◽  
Half Integer ◽  
Integer Weight

Let spt (n) denote the total number of appearances of smallest parts in the partitions of n. Recently, Andrews showed how spt (n) is related to the second rank moment, and proved some surprising Ramanujan-type congruences mod 5, 7 and 13. We prove a generalization of these congruences using known relations between rank and crank moments. We obtain explicit Ramanujan-type congruences for spt (n) mod ℓ for ℓ = 11, 17, 19, 29, 31 and 37. Recently, Bringmann and Ono proved that Dyson's rank function has infinitely many Ramanujan-type congruences. Their proof is non-constructive and utilizes the theory of weak Maass forms. We construct two explicit nontrivial examples mod 11 using elementary congruences between rank moments and half-integer weight Hecke eigenforms.

ROBUST FAULT DETECTION USING INTERVAL CONSTRAINTS SATISFACTION AND SET COMPUTATIONS 1

2006 ◽  
Vol 39 (13) ◽  
pp. 1216-1221 ◽  
Author(s):  
Carlos Ocampo-Martínez ◽  
Sebastián Tornil ◽  
Vicenç Puig
Keyword(s):  
Fault Detection ◽  
Robust Fault Detection ◽  
Interval Constraints ◽  
Constraints Satisfaction

Inverse Stochastic Programming with Interval Constraints

2015 ◽  
Vol 24 (1) ◽  
pp. 47-53
Author(s):  
Dr.K.L.Muruganantha Prasad ◽  
◽  
Mr.S Mookkan ◽  
Mr.N. Ressal Raj
Keyword(s):  
Stochastic Programming ◽  
Interval Constraints
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