Results 51 to 60 of about 447 (171)
Biotechnology Progress, EarlyView.Abstract Traditional off‐line analysis methods to quantify residual metabolite concentrations in a drug substance fermentation process consume valuable time, require costly resources, and demand potentially hazardous manual operations when working with pathogenic biological organisms.
Griffin P. Thomas +7 more
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An Analytic Formula for the A_2 Jack Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2007 In this letter I shall review my joint results with Vadim Kuznetsov and Evgeny Sklyanin [Indag. Math. 14 (2003), 451-482] on separation of variables (SoV) for the $A_n$ Jack polynomials.
Vladimir V. Mangazeev
doaj
Supersymmetric polynomials and algebro-combinatorial duality
SciPost PhysicsIn this note we develop a systematic combinatorial definition for constructed earlier supersymmetric polynomial families. These polynomial families generalize canonical Schur, Jack and Macdonald families so that the new polynomials depend on odd ...
Dmitry Galakhov, Alexei Morozov, Nikita Tselousov
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On Kerov polynomials for Jack characters
, 2012 We consider a deformation of Kerov character polynomials, linked to Jack symmetric functions. It has been introduced recently by M. Lassalle, who formulated several conjectures on these objects, suggesting some underlying combinatorics. We give a partial result in this direction, showing that some quantities are polynomials in the Jack parameter $α ...
Dołęga, Maciej, Féray, Valentin
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Clinical Anatomy, EarlyView.ABSTRACT Understanding how pancreas size and shape change with normal aging is critical for establishing a baseline to detect deviations in type 2 diabetes and other pancreatic disease. We measure pancreas size and shape using morphological measurements from early development through aging (ages 0–90).
Lucas W. Remedios +13 more
wiley +1 more source
, 2020 We propose new Pieri type formulas for Jack polynomials, which is another kind of Pieri type formulas than the ones in the previous paper (G. Shibukawa, arXiv:2004.12875). From these new Pieri type formulas, we give yet another proof of difference and Pieri formulas for interpolation Jack polynomials.
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Characterization of Graphs Without Even F $F$‐Orientations
Journal of Graph Theory, EarlyView.ABSTRACT A graph G $G$ is 1‐extendable if every edge belongs to at least one 1‐factor of G $G$. Let G $G$ be a graph with a 1‐factor F $F$. Then an even (odd) F $F$ ‐orientation of G $G$ is an orientation in which each F $F$‐alternating cycle has exactly an even (odd) number of edges directed in the same fixed direction around the cycle.
Marién Abreu +3 more
wiley +1 more source
Vector-valued Jack polynomials and wavefunctions on the torus [PDF]
Journal of Physics A: Mathematical and Theoretical, 2017 Abstract The Hamiltonian of the quantum Calogero–Sutherland model of N identical particles on the circle with 1/ r 2 interactions has eigenfunctions consisting of Jack polynomials times the base state. By use of the
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A formula for Jack polynomials of the second order [PDF]
Applicationes Mathematicae, 2007 Summary: This work solves the partial differential equation for Jack polynomials \(C_{\kappa}^{\alpha}\) of the second order. When the parameter \(\alpha\) of the solution takes the values \(1/2\), \(1\) and~\(2\) we get explicit formulas for the quaternionic, complex and real zonal polynomials of the second order, respectively.
Caro-Lopera, Francisco J. +2 more
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Atmospheric Chemistry of CF3C(Cl)═CH2 (HCFO‐1233xf)
International Journal of Chemical Kinetics, EarlyView.ABSTRACT 2‐chloro‐3,3,3‐trifluoropropene, CF3C(Cl)═CH2 (HCFO‐1233xf), is a volatile hydrochlorofluoroolefin, commonly used in industrial synthesis of other halogenated olefins. Kinetics and reaction mechanisms for the reactions of OH radicals, Cl atoms, and O3 with CF3C(Cl)═CH2 were investigated using FTIR/smog chamber studies in 700 Torr of air/N2 ...
Bethanie Curiel +6 more
wiley +1 more source