Results 81 to 90 of about 197,691 (182)
Single SEM Schubert Polynomials
The Electronic Journal of CombinatoricsWe prove a pattern-avoidance characterization of $w \in S_n$ such that the Schubert polynomial $\mathfrak{S}_w$ is a standard elementary monomial. This characterization tells us which quantum Schubert polynomials admit the simplest explicit formulas. We solve a similar pattern-avoidance problem for complete homogeneous monomials.
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Connection between Schubert polynomials and top Lascoux polynomials [PDF]
Schubert polynomials form a basis of the polynomial ring. This basis and its structure constants have received extensive study. Recently, Pan and Yu initiated the study of top Lascoux polynomials.
Yu, Tianyi
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The Photogrammetric Record, Volume 41, Issue 195, July‐September 2026.Tri‐stereoscopic PeruSat‐1 imagery enables the simultaneous generation of 0.70 m‐resolution topography and spatially distributed Manning roughness maps, achieving 0.434 m vertical accuracy. Integrated into HEC‐RAS, these products provide consistent, high‐resolution inputs that improve hydraulic modelling and flood risk assessment in data‐scarce river ...
Jorge L. Miranda‐Pita +3 more
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Schubert Calculus, Schubert Cell, Schubert Cycle, and Schubert Polynomials
, 2001 We briefly describe each of the four topics: Schubert Calculus, Schubert Cell, Schubert Cycle, and Schubert Polynomials.
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Asymptotically maximal Schubitopes
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We find a layered permutation w∈Sn$w\in S_n$ whose Schubert polynomial Sw(x1,⋯,xn)$\mathfrak {S}_w(x_1, \dots, x_n)$ has support of size asymptotically at least n!/4n$n!/4^n$. This gives precise asymptotics for the growth rate of β(n)≔maxw∈Sn|supp(Sw)|$\beta (n)\coloneqq \max _{w\in S_n}|\mathrm{supp}(\mathfrak {S}_w)|$.
Jack Chen‐An Chou, Linus Setiabrata
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t-deformation of quantum Schubert polynomials
Funkcialaj Ekvacioj, 1998 LaTeX, 12 ...
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Clinical and Experimental Dental Research, Volume 12, Issue 3, June 2026.ABSTRACT Objectives Malocclusion and the treatment process can affect the person's quality of life, which includes physical and psychological effects. Classifying the patient accurately is critical to achieving the desired output. This study aimed to improve the current diagnostic process with artificial‐intelligence algorithms using the lateral ...
Kareem Midlej +3 more
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Universal Schubert polynomials
Duke Mathematical Journal, 1999 We introduce polynomials that represent general degeneracy loci for maps of vector bundles. These polynomials specialize to the known classical and quantum forms of single and double Schubert polynomials. This is the final version of the paper, to appear in Duke Math. J.
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On the expansion of Schur and Schubert polynomials into standard elementary polynomials [PDF]
, 1998 Motivated by the recent discovery of a simple quantization procedure for Schubert polynomials we study the expansion of Schur and Schubert polynomials into standard elementary monomials (SEM).
Winkel, Rudolf
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, 2008 . We obtain a tableau definition of the skew Schubert polynomials named by Lascoux, which are defined as flagged double skew Schur functions. These polynomials are in fact Schubert polynomials in two sets of variables indexed by 321-avoiding permutations.
Arthur L. B. Yang +2 more
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