scholarly journals Axioms for Shifted Tableau Crystals

10.37236/8033 ◽  
2019 ◽  
Vol 26 (2) ◽  
Author(s):  
Maria Gillespie ◽  
Jake Levinson
Keyword(s):  
Symmetric Function ◽  
Function Theory ◽  
Type A ◽  
Axiomatic Characterization ◽  
New Method ◽  
Shifted Tableaux

We give local axioms that uniquely characterize the crystal-like structure on shifted tableaux developed by the authors and Purbhoo. These axioms closely resemble those developed by Stembridge for type A tableau crystals. This axiomatic characterization gives rise to a new method for proving and understanding Schur $Q$-positive expansions in symmetric function theory, just as the Stembridge axiomatic structure provides for ordinary Schur positivity.

Estimation of Rainfall Based on the Results of Polarimetric Echo Classification

2008 ◽  
Vol 47 (9) ◽  
pp. 2445-2462 ◽  
Author(s):  
Scott E. Giangrande ◽  
Alexander V. Ryzhkov
Keyword(s):  
Type A ◽  
New Method ◽  
Polarimetric Radar ◽  
Rainfall Estimation ◽  
Radar Rainfall ◽  
Different Types ◽  
Rms Error ◽  
Radar Resolution ◽  
Rainfall Estimates

Abstract The quality of polarimetric radar rainfall estimation is investigated for a broad range of distances from the polarimetric prototype of the Weather Surveillance Radar-1988 Doppler (WSR-88D). The results of polarimetric echo classification have been integrated into the study to investigate the performance of radar rainfall estimation contingent on hydrometeor type. A new method for rainfall estimation that capitalizes on the results of polarimetric echo classification (EC method) is suggested. According to the EC method, polarimetric rainfall relations are utilized if the radar resolution volume is filled with rain (or rain and hail), and multiple R(Z) relations are used for different types of frozen hydrometeors. The intercept parameters in the R(Z) relations for each class are determined empirically from comparisons with gauges. It is shown that the EC method exhibits better performance than the conventional WSR-88D algorithm with a reduction by a factor of 1.5–2 in the rms error of 1-h rainfall estimates up to distances of 150 km from the radar.

A New Fast Combination Method of Conflict Evidences Based on Model Modification

2013 ◽  
Vol 694-697 ◽  
pp. 2835-2841
Author(s):  
Jing Zhu ◽  
Cheng Jun Zhang ◽  
Li Fang Hu ◽  
Yi Cheng Zheng
Keyword(s):  
Function Theory ◽  
Evidence Synthesis ◽  
Synthesis Method ◽  
Belief Function ◽  
New Method ◽  
Combination Method ◽  
Practical Application ◽  
Research Focus ◽  
Model Modification ◽  
Belief Function Theory

In the belief function theory, the combination of highly conflicting evidences is a research focus,and the key lies in both the rationality and timeliness of combination method.This paper analyzes deeply the existing strategy of model modification, and putsforward a new rapid evidence synthesis method based on model modification. The average evidence ofweighted combination on mean evidence isfirstly given, then fast combination on pignistic transformation can be realized. Thus the BBM accordancewith the principle of proportion redistribution isgot. This method has the advantage of Murphy’s method, and overcomes the large calculation problems at the same time. Comparedwith other methods, the new method is more effective to solve the combinationproblem of highly conflicting evidences, and has fast convergence speed, small computationalcomplexity, and higher practical application value.

scholarly journals Coxeter-Knuth Graphs and a Signed Little Map for Type B Reduced Words

10.37236/4384 ◽  
2014 ◽  
Vol 21 (4) ◽  
Author(s):  
Sara Billey ◽  
Zachary Hamaker ◽  
Austin Roberts ◽  
Benjamin Young
Keyword(s):  
Structure Theorem ◽  
Type A ◽  
Axiomatic Characterization ◽  
Schubert Calculus ◽  
Type B ◽  
Dual Equivalence ◽  
Carry Over ◽  
Dual Equivalence Graphs ◽  
Reduced Words

We define an analog of David Little’s algorithm for reduced words in type B, and investigate its main properties. In particular, we show that our algorithm preserves the recording tableau of Kraśkiewicz insertion, and that it provides a bijective realization of the Type B transition equations in Schubert calculus. Many other aspects of type A theory carry over to this new setting. Our primary tool is a shifted version of the dual equivalence graphs defined by Assaf and further developed by Roberts. We provide an axiomatic characterization of shifted dual equivalence graphs, and use them to prove a structure theorem for the graph of Type B Coxeter-Knuth relations. 

One more method for arterial cannulation in aortic arch surgery (“Penza cannulation”)

2018 ◽  
Vol 26 (7) ◽  
pp. 584-586 ◽  
Author(s):  
Evgeny Rosseykin ◽  
Evgeny Kobzev ◽  
Vladlen Bazylev
Keyword(s):  
Aortic Dissection ◽  
Aortic Arch ◽  
Type A ◽  
New Method ◽  
Arterial Cannulation ◽  
Type A Aortic Dissection ◽  
Aortic Arch Surgery ◽  
Aortic Cannulation ◽  
Brachiocephalic Arteries

Here we propose a new method of aortic cannulation in type A aortic dissection and aortic arch aneurysms. Aortic cannulation is performed through any of the ostia of brachiocephalic arteries and has been successfully used in 77 patients. This procedure is simple, safe, effective, and might be used as one of the alternatives to the classic methods of arterial cannulation.

scholarly journals Symmetric function theory and unitary invariant ensembles

2021 ◽  
Vol 62 (9) ◽  
pp. 093512
Author(s):  
Bhargavi Jonnadula ◽  
Jonathan P. Keating ◽  
Francesco Mezzadri
Keyword(s):  
Symmetric Function ◽  
Function Theory

scholarly journals First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Marco Pedro Ramirez-Tachiquin ◽  
Cesar Marco Antonio Robles Gonzalez ◽  
Rogelio Adrian Hernandez-Becerril ◽  
Ariana Guadalupe Bucio Ramirez
Keyword(s):  
Electrical Impedance ◽  
Dirichlet Boundary ◽  
Function Theory ◽  
New Method ◽  
Two Dimensional ◽  
Dirichlet Boundary Value Problem ◽  
The Finite Element Method ◽  
Impedance Tomography ◽  
Pseudoanalytic Function

Based upon the elements of the modern pseudoanalytic function theory, we analyze a new method for numerically solving the forward Dirichlet boundary value problem corresponding to the two-dimensional electrical impedance equation. The analysis is performed by introducing interpolating piecewise separable-variables conductivity functions in the unit circle. To warrant the effectiveness of the posed method, we consider several examples of conductivity functions, whose boundary conditions are exact solutions of the electrical impedance equation, performing a brief comparison with the finite element method. Finally, we discuss the possible contributions of these results to the field of the electrical impedance tomography.

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