Some existence theorems for functional equations in many variables and the characterization of weighted quasi-arithmetic means

1971 ◽  
Vol 7 (1) ◽  
pp. 105-106
Author(s):  
T. D. Howroyd
Keyword(s):  
Functional Equations ◽  
Existence Theorems ◽  
Arithmetic Means

scholarly journals Hecke’s modular forms by functional equations

2018 ◽  
Vol 14 (05) ◽  
pp. 1247-1256
Author(s):  
Bernhard Heim
Keyword(s):  
Modular Forms ◽  
Functional Equations ◽  
Hecke Operators ◽  
General Context ◽  
Periodic Functions

We investigate the interplay between multiplicative Hecke operators, including bad primes, and the characterization of modular forms studied by Hecke. The operators are applied on periodic functions, which lead to functional equations characterizing certain eta-quotients. This can be considered as a prototype for functional equations in the more general context of Borcherds products.

A Characterization of Weighted Arithmetic Means

1980 ◽  
Vol 1 (3) ◽  
pp. 259-260 ◽  
Author(s):  
J. Aczél ◽  
C. Wagner
Keyword(s):  
Arithmetic Means ◽  
Weighted Arithmetic

Characterization of field homomorphisms by functional equations, II

2001 ◽  
Vol 62 (1) ◽  
pp. 184-191 ◽  
Author(s):  
F. Halter-Koch ◽  
L. Reich
Keyword(s):  
Functional Equations

On the characterization of distributivity equations about quasi-arithmetic means

2015 ◽  
Vol 90 (3) ◽  
pp. 501-515 ◽  
Author(s):  
Ya-Ming Wang ◽  
Feng Qin
Keyword(s):  
Arithmetic Means

scholarly journals Characterization of Induced Sugarcane Somaclones and their Sources Varieties Using Random Amplified Polymorphic DNA

2016 ◽  
Vol 25 (2) ◽  
pp. 223-229 ◽  
Author(s):  
Kuasha Mahmud ◽  
KM Nasiruddin ◽  
MA Hossain ◽  
L Hassan
Keyword(s):  
Rapd Markers ◽  
Random Amplified Polymorphic Dna ◽  
Group Method ◽  
Arithmetic Means ◽  
Sugarcane Varieties ◽  
Main Cluster ◽  
Pair Group ◽  
The Relationship ◽  
Linkage Distance

Sugarcane somaclones and their sources varieties were analyzed by RAPD molecular markers to check the variation at molecular level based on 1.4% agarose gel electrophoresis (AGE). Six RAPD primers generated 237 bands with average 39.5 varied from 15 to 63 with size ranging 145 - 1000 bp among the four sugarcane varieties and their 12 somaclones. Genetic diversity or polymorphism information content (PIC) value ranged from 0.39 to 0.50 for all loci across the 4 varieties and their 12 somaclones based on RAPD markers. Dendrogram based on linkage distance using unweighted pair group method of arithmetic means (UPGMA) based on 6 RAPD primers indicated segregation of the 4 sugarcane varieties and their somaclones into two main clusters at linkage distance 36. Variety Isd 39 was observed in main cluster C1 while its (Isd 39) somaclones and other varieties (Isd 37, Isd 38 and Isd 40) and also their somaclones were found in main cluster C2 having different sub-clusters. Theirfore, it may be concluded that RAPD markers can be used for identification of somaclonal variation and the relationship between sources varieties and their somaclones.Plant Tissue Cult. & Biotech. 25(2): 223-229, 2015 (December)

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