Results 1 to 10 of about 396,927 (287)
Polynomials Associated with Dihedral Groups [PDF]
There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra of partial derivatives.
Charles F. Dunkl
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Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time [PDF]
Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras $A_N$, $B_N$, $C_N$, $G_2$, $D_3$, $A_1^{(1)}$, $A_2^{(2)}$, $D^{(2)}_N$ these systems are proved to be ...
Rustem Garifullin +2 more
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Almost uniformly convergence on MV-algebra of intuitionistic fuzzy sets [PDF]
The aim of this contribution is to formulate some definitions of almost uniformly convergence for a sequence of observables in the MV-algebra of the intuitionistic fuzzy sets.
Katarína Čunderlíková
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Non-attribution of predestination to the Ash'arites with the focus on transcendent wisdom [PDF]
The Ash'arite school in monotheism acts like the Shiites, attributes all matters of existence to God, and considers the human will to be in need at every moment. Therefore, the interpretation of acquisition theory to algebra is questionable.
tayebeh khosravi, Ali Alla bedashti
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On differential approximations of difference schemes [PDF]
The concept of the first differential approximation was introduced in the 1950s for the analysis of difference schemes by A. I. Zhukov and then was used to study the quality of difference schemes approximating equations in partial derivatives.
Blinkov, Yuri Anatolievich +2 more
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Torsors for difference algebraic groups [PDF]
We introduce a cohomology set for groups defined by algebraic difference equations and show that it classifies torsors under the group action. This allows us to compute all torsors for large classes of groups. We also present an application to the Galois theory of differential equations depending on a discrete parameter.
Bachmayr, Annette, Wibmer, Michael
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On criteria for algebraic independence of collections of functions satisfying algebraic difference relations [PDF]
This paper gives conditions for algebraic independence of a collection of functions satisfying a certain kind of algebraic difference relations. As applications, we show algebraic independence of two collections of special functions: (1) Vignéras ...
Hiroshi Ogawara
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The effect of assessment for learning on pre-service mathematics teachers’ higher-order thinking skills in algebra [PDF]
In teacher education, enhancing pre-service teachers' higher-order thinking skills (HOTs) is very crucial. The effect of comprehensive professional development in assessment for learning (AfL) on pre-service teachers' HOTs in an algebra course was ...
Ayanaw Yigletu +2 more
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Difference algebra and system identification [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lyzell, Christian +3 more
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School algebra serves as the language of mathematics and a foundational subject for learning advanced mathematics courses. This makes developing learners’ proficiency in algebra the most desirable instructional goal of school mathematics.
Kakoma Luneta, Mekonnen Y. Legesse
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