QUANTUM SCHUBERT POLYNOMIALS AND QUANTUM SCHUR FUNCTIONS
We introduce the quantum multi–Schur functions, quantum factorial Schur functions and quantum Macdonald polynomials. We prove that for restricted vexillary permutations, the quantum double Schubert polynomial coincides with some quantum multi-Schur function and prove a quantum analog of the Nägelsbach–Kostka and Jacobi–Trudi formulae for the quantum ...
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Integral zeroes of Krawtchouk polynomials [PDF]
This thesis was submitted for the degree of Master of Philosophy and awarded by Brunel University.Krawtchouk polynomials appear in many various areas of mathematics starting from discrete mathematics (e.g., in coding theory), association schemes, and in ...
Alenezi, Ahmad M
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Generation of Schubert polynomial series via nanometre-scale photoisomerization in photochromic single crystal and double-probe optical near-field measurements. [PDF]
Uchiyama K +6 more
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A Reevaluation of Cryolava Flow Evolution: Assumptions, Physical Properties, and Conceptualization. [PDF]
Morrison AA +2 more
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Sztrokay Kálmán cikkei a Vasárnapi Ujságban (1909-1921)
Sztrokay Kálmán (1886-1956) Író, újságíró, tudományos ismeretterjesztő 12 éven keresztül publikált rendszeresen a Vasárnapi Ujságban. Összesen 32 cikke jelent itt meg.
Schubert, András, Sztrokay, Kálmán
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A practical modification to a resting state fMRI protocol for improved characterization of cerebrovascular function. [PDF]
Stickland RC +5 more
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Do Musicians and Non-musicians Differ in Speech-on-Speech Processing? [PDF]
Kaplan EC +3 more
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Neural excitability and sensory input determine intensity perception with opposing directions in initial cortical responses. [PDF]
Stephani T +4 more
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Impacts of ocean warming on echinoderms: A meta-analysis. [PDF]
Lang BJ +6 more
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Multiplication of a Schubert polynomial by a Stanley symmetric polynomial
We prove, combinatorially, that the product of a Schubert polynomial by a Stanley symmetric polynomial is a truncated Schubert polynomial. Using Monk's rule, we derive a nonnegative combinatorial formula for the Schubert polynomial expansion of a truncated Schubert polynomial.
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