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Study of Three Different Operator Algebras and Some Contribution of Operator Algebra in Mathematics
International Journal of Scientific Research in Science and Technology, 2022 In this present paper, we studied about three different ways one may look at operator algebras and some classical applications of operator algebras in mathematics and mathematical physics. [1-2].
null Surendra Ray +2 more
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Mathematical modeling for learning algebraic operation [PDF]
Journal of Education and Learning (EduLearn), 2019 This study aims to produce a learning trajectory using the mathematical modeling in helping students to understand the concept of algebraic operations. Therefore, the design research was chosen to meet the research aims and to give in formulating and developing local instructional theory in learning algebraic operations.Learning trajectory designed in ...
Diah Dwi Santri, Yusuf Hartono, Somakim
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One functional operator inversion formula
Mathematical Modelling and Analysis, 2001 Some results about inversion formula of functional operator with generalized dilation are given. By means of commutative Banach algebra theory the explicit form of inversion operator is expressed. Some commutative Banach algebras with countable generator
P. Plaschinsky
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Analysis of Class VII Students' Mathematical Communication Ability in Algebra Calculating Operations
Equivalent: Jurnal Ilmiah Sosial Teknik, 2023 The problem is that teachers dominate class communication by explaining concepts, showing examples, and directing questions and answers. This study aims to analyze the communication skills of junior high school students in solving algebraic arithmetic operations.
Virginia Paulina Engelina +1 more
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ASyMOB: Algebraic Symbolic Mathematical Operations Benchmark
CoRRLarge language models (LLMs) are increasingly applied to symbolic mathematics, yet existing evaluations often conflate pattern memorization with genuine reasoning. To address this gap, we present ASyMOB, a high-resolution dataset of 35,368 validated symbolic math problems spanning integration, limits, differential equations, series, and hypergeometrics.
Michael Shalyt +2 more
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A Formal Mathematical Semantics of Advanced Operations of Multiset Table Algebra
The 7th International Conference on Information Technology, 2015 Multiset table algebra is considered. The notion of a table specified using the notion of a multiset (or bag). A signature of multiset table algebra is filled up with new operations such as inner and outer joins, semi-join and aggregate operations. A formal mathematical semantics of these operations is defined.
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2019 International Conference on Information and Telecommunication Technologies and Radio Electronics (UkrMiCo), 2019 The article synthesizes a mathematical model of the process of tabular implementation of modular multiplication, for both positive and negative numerical ranges of means of processing integer information. This model is recommended for practical application when developing methods and algorithms for fast processing of cryptographic information.
Victor Krasnobaev +4 more
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Journal of Open Source Software, 2022 A VTU library in the Julia language that implements an algebra for basic mathematical operations on VTU data.
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This work systematically extends the framework of Meta-Operational Mathematics to the domain of fuzzy algebraic operations and their inverses. Fuzzy algebraic operations (such as t-norms,s-norms, residuated implications, extension principle, cuts, lifts) and their inverses (generalized inverses, residuated inverses, choice inverses, lift inverses) are ...
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Advancing Mathematics at the Intersection of Operator Theory and Non-Associative Algebra
Journal of Operator and Non-Associative AlgebrasThis editorial introduces the inaugural issue of the Journal of Operator and Non-Associative Algebras (JONAA), a new platform dedicated to research at the intersection of operator methods and non-associative algebraic structures. It highlights the motivations for establishing the journal, emphasizing the growing need for a unified venue where ...
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