The Order of Normal Form Generalized Hypersubstitutions of Type τ = (2)
Kyungpook mathematical journal, 2014 In 2000, K. Denecke and K. Mahdavi showed that there are many idempotent elements in HypNφ(V ) the set of normal form hypersubstitutions of type = (2) which are not idempotent elements in Hyp(2) the set of all hypersubstitutions of type = (2). They considered in which varieties, idempotent elements of Hyp(2) are idempotent elements of HypNφ(V ).
Sivaree Sudsanit, Sorasak Leeratanavalee
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Complexity of terms, composition, and hypersubstitution
, 2003 We consider four useful measures of the complexity of a term: the maximum depth (usually called the depth), the minimum depth, the variable count, and the operation count.
Klaus Denecke, Shelly L. Wismath
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On the generalized Jacobi equation. [PDF]
, 2008 The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities.
Perlick, Volker
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Idempotence and regularity of generlized relational hypersubstitutions for algebraic sytems [PDF]
The concept of a generalized relational hypersubstitution for algebraic systems of type $(\tau,\tau')$ is an extension of the concept of a generalized hypersubstitution for universal algebra of type $\tau$.
Kunama, Pornpimol +3 more
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Application of a Modified Generalized Regression Neural Networks Algorithm in Economics and Finance [PDF]
, 2011 In this paper we propose an alternative and modified Generalized Regression Neural Networks Autoregressive model (GRNN-AR) in S&P 500 and FTSE 100 index returns, as also in Gross domestic product growth rate of Italy, USA and UK. We compare the forecasts
Giovanis, Eleftherios
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The histopathological spectrum of acute generalized exanthematous pustulosis (AGEP) and its differentiation from generalized pustular psoriasis [PDF]
, 2010 Background: Acute generalized exanthematous pustulosis (AGEP) represents a severe, acute, pustular skin reaction that is most often induced by drugs. AGEP can be difficult to differentiate from generalized pustular psoriasis (GPP) both clinically and ...
Fidler, Vaclav +11 more
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Orders of Generalized Hypersubstitutions of Type τ = (3)
, 2020 The concept of generalized hypersubstitutions was introduced by S. Leeratanavalee and K. Denecke in 2000. We used it as the tool to study strong hyperidentities and strongly solid varieties.
Sivaree Sudsanit, Sorasak Leeratanavalee
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Sheaves of nonlinear generalized functions and manifold-valued distributions
, 2009 This paper is part of an ongoing program to develop a theory of generalized differential geometry. We consider the space G[X,Y] of Colombeau generalized functions defined on a manifold X and taking values in a manifold Y. This space is essential in order
Steinbauer, Roland +5 more
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IDEMPOTENT ELEMENTS OF PRE-GENERALIZED HYPERSUBSTITUTIONS OF TYPE (m, n)
, 2016 A generalized hypersubstitution of type τ = (m, n) is a mapping σ which maps the m-ary operation symbol f and n-ary operation symbol g to the term σ(f) and σ(g), and may not preserved arities.
Jampachon, Prakit +1 more
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Differentiable generalized inverses
, 1968 Necessary and sufficient conditions are given for a differentiable matrix to have a differentiable generalized inverse. It is shown that when these conditions are met there exist, for several classes of generalized inverses, a differentiable generalized ...
Hearon, John Z.; Evans, John W.
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