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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Here in this paper we are going to point out a new algebraic interpretation of the Gaussian polynomials as orbits of the Borel group on subspaces.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:Gaussian numbers, also called Gaussian polynomials or q-binomial coefficients are the q-analogs of common binomial coefficients.
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Temel Bulgular & Veri:First introduced by Euler these polynomials have played an important role in many different branches of mathematics.
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Sonuç & Katkı:Here in this paper we are going to point out a new algebraic interpretation of the Gaussian polynomials as orbits of the Borel group on subspaces.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:q-binomial coefficient · Gauss number · Gauss polynomial
Abstract
Gaussian numbers, also called Gaussian polynomials or q-binomial coefficients are the q-analogs of common binomial coefficients. First introduced by Euler these polynomials have played an important role in many different branches of mathematics. Sylvester discovered the unimodality of their coefficients, using invariant theory. Gauss recognized the connection of the coefficients to proper integer partitions using a combinatorial interpretation. Here in this paper we are going to point out a new algebraic interpretation of the Gaussian polynomials as orbits of the Borel group on subspaces.
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Bu Makaleye Atıf Yap
BRAUN, M. (2009). AN ALGEBRAIC INTERPRETATION OF THE q-BINOMIAL COEFFICIENTS. International Electronic Journal of Algebra, Cilt: 6 - Sayı: 6, 23–30. https://ajindex.com/articles/832539