Results 21 to 30 of about 4,125 (289)
On Interval Soft Sets with Applications [PDF]
Interval set theory and soft set theory are mathematical tools for dealing with uncertainty information. As a combination of interval set and soft set, recently, we introduced the new notion of interval soft sets.
Xiaohong Zhang
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A Method to Translate Order-Sorted Algebras to Many-Sorted Algebras [PDF]
Order-sorted algebras and many sorted algebras exist in a long history with many different implementations and applications. A lot of language specifications have been defined in order-sorted algebra frameworks such as the language specifications in K ...
Liyi Li, Elsa Gunter
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As part of an attempt to capture abstractly the most fundamental properties of algebraic reasoning involving equality, we introduce the notion of an equality algebra. It is a universal algebra A endowed with a binary function =iA × A → L, where L is a meet-semilattice with top element 1, called internalised equality, and satisfying, for all x, y ∈ A,1.
Fearnley-Sander, Desmond, Stokes, Tim
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The cluster basis $\mathbb{Z}[x_{1,1},…,x_{3,3}] [PDF]
We show that the set of cluster monomials for the cluster algebra of type $D_4$ contains a basis of the $\mathbb{Z}$-module $\mathbb{Z}[x_{1,1},\ldots ,x_{3,3}]$.
Mark Skandera
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Semiotic Examination of Algebra Teaching Process in the Context of Gestures
This research aims to examine the gestures used by teachers and students in the algebra learning-teaching process and the purpose of these signs. The participants of this case study are 25 eigth graders and their mathematics teacher.
Dilek Tanışlı, Şahin Danişman
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Polytypic Functions Over Nested Datatypes [PDF]
The theory and practice of polytypic programming is intimately connected with the initial algebra semantics of datatypes. This is both a blessing and a curse. It is a blessing because the underlying theory is beautiful and well developed.
Ralf Hinze
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Distribution of Eigenvalues and Upper Bounds of the Spread of Interval Matrices
The distribution of eigenvalues and the upper bounds for the spread of interval matrices are significant in various fields of mathematics and applied sciences, including linear algebra, numerical analysis, control theory, and combinatorial optimization ...
Wenshi Liao, Pujun Long
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A New Game Equivalence and its Modal Logic [PDF]
We revisit the crucial issue of natural game equivalences, and semantics of game logics based on these. We present reasons for investigating finer concepts of game equivalence than equality of standard powers, though staying short of modal bisimulation ...
Johan van Benthem +2 more
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We study some aspects of a class of non-AdS holography where the 3D bulk gravity is given by generalized minimal massive gravity (GMMG). We consider the spacelike warped $$AdS_3$$ A d S 3 ( $$WAdS_3$$ W A d S 3 ) black hole solution of this model where ...
M. R. Setare, M. Koohgard
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Procedural embodiment and magic in linear equations [PDF]
How do students think about algebra? Here we consider a theoretical framework which builds from natural human functioning in terms of embodiment – perceiving the world, acting on it and reflecting on the effect of the actions – to shift to the use of ...
Nogueira de Lima , Rosana, Tall, David
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