scholarly journals Logarithmic inequalities under a symmetric polynomial dominance order

2018 ◽  
Vol 147 (2) ◽  
pp. 481-486
Author(s):  
Suvrit Sra

2014 ◽  
Vol 10 (1) ◽  
pp. e1003446 ◽  
Author(s):  
Zsuzsa Ákos ◽  
Róbert Beck ◽  
Máté Nagy ◽  
Tamás Vicsek ◽  
Enikő Kubinyi




2007 ◽  
Vol 79 (4) ◽  
pp. 563-575 ◽  
Author(s):  
Jaume Llibre ◽  
Marcelo Messias

In this paper we study a class of symmetric polynomial differential systems in R³, which has a set of parallel invariant straight lines, forming degenerate heteroclinic cycles, which have their two singular endpoints at infinity. The global study near infinity is performed using the Poincaré compactification. We prove that for all n <FONT FACE=Symbol>Î</FONT> N there is epsilonn > 0 such that for 0 < epsilon < epsilonn the system has at least n large amplitude periodic orbits bifurcating from the heteroclinic loop formed by the two invariant straight lines closest to the x-axis, one contained in the half-space y > 0 and the other in y < 0.



2012 ◽  
Vol 60 (4) ◽  
pp. 499-510
Author(s):  
Hui-Feng Hao ◽  
Yong-Jian Hu ◽  
Gong-Ning Chen


2009 ◽  
Vol 134 (4) ◽  
pp. 423-427 ◽  
Author(s):  
Mark J. Bassett ◽  
Phillip N. Miklas

The inheritance of blue pattern flower (BPF) expression was investigated in common bean (Phaseolus vulgaris L.). The BPF trait was derived from accession line G07262, and the flowers express blue banner petal and white wings with blue veins. Crosses between a BPF stock and three other parents, t pmic long micropyle stripe BC3 5–593, t z Fib arcus BC4 5–593, and t Z bipana Fib marginata BC3 5–593, all segregated in F2 for BPF or white flowers in a 9:7 ratio, respectively. Progeny tests in F3 from two of the crosses supported the hypothesis that two complementary dominant genes control BPF expression and permitted a genetic linkage estimate of cM = 32.4 ± 7.91 map units between pmic and one of the two genes for BPF. A cross between t z fib virgarcus BC3 5–593 and T Prpi-2 V BC2 5–593 demonstrated that t Prpi-2 did not express BPF. Two crosses, T Prpi-2 V BC2 5–593 t pmic BC3 5–593 and 5–593 × a BPF stock, segregated in F2 for plants expressing BPF in a 3/16 frequency. The combined data demonstrated that a new gene, tbp (bp = blue pattern), interacts with Prpi-2 to express BPF and that P is linked with Prpi-2 by 32 map units. The dominance order at the T locus is T > tbp > t. The pedigree source of the tbp gene and the heterogeneity of PI 632736 (t pmic long micropyle stripe BC3 5–593) are discussed.



10.37236/7387 ◽  
2018 ◽  
Vol 25 (3) ◽  
Author(s):  
Anna Stokke

The classical Pieri formula gives a combinatorial rule for decomposing the product of a Schur function and a complete homogeneous symmetric polynomial as a linear combination of Schur functions with integer coefficients. We give a Pieri rule for describing the product of an orthosymplectic character and an orthosymplectic character arising from a one-row partition. We establish that the orthosymplectic Pieri rule coincides with Sundaram's Pieri rule for symplectic characters and that orthosymplectic characters and symplectic characters obey the same product rule. 



2012 ◽  
Vol 20 (2) ◽  
pp. 395-401 ◽  
Author(s):  
Mitsuo Hirata ◽  
Fujimaru Ueno


Author(s):  
P. S. Bullen
Keyword(s):  


2015 ◽  
Vol 7 (2) ◽  
pp. 1
Author(s):  
Soumendra Bera

<p class="abstract">We count the number of occurrences of <em>t </em>as the summands<em> </em>(i) in the compositions of a positive integer <em>n</em> into <em>r</em> parts; and (ii) in all compositions of <em>n</em>; and subsequently obtain other results involving compositions. The initial counting further helps to solve the enumeration problems for complete homogeneous symmetric polynomial.</p>



Sign in / Sign up

Export Citation Format

Share Document