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Journal of Mathematical Sciences, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Panzhensky, V. I. +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Panzhensky, V. I. +2 more
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Algebra Universalis, 1996
An algebra \(A\) is said to represent the sequence \((p_0,p_1,\dots)\) if the number of essentially \(n\)-ary term operations in \(A\) is equal to \(p_n\). It was shown by \textit{G. Grätzer} and \textit{R. Padmanabhan} [Proc. Am. Math. Soc. 28, 75-80 (1971; Zbl 0215.34501)] that \((G,\cdot)\) is a nontrivial affine space over \(GF(3)\) if and only if \
Dudek, J., Tomasik, J.
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An algebra \(A\) is said to represent the sequence \((p_0,p_1,\dots)\) if the number of essentially \(n\)-ary term operations in \(A\) is equal to \(p_n\). It was shown by \textit{G. Grätzer} and \textit{R. Padmanabhan} [Proc. Am. Math. Soc. 28, 75-80 (1971; Zbl 0215.34501)] that \((G,\cdot)\) is a nontrivial affine space over \(GF(3)\) if and only if \
Dudek, J., Tomasik, J.
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Technoetic Arts, 2009
Systems architecture is seeking to cooperate with the creative processes characteristic of life on earth for novel and sustainable design outcomes. To achieve this, new design methodologies are needed to create structures and processes that are composed of the inanimate and the living the physical, the biological and the artificial to differing ...
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Systems architecture is seeking to cooperate with the creative processes characteristic of life on earth for novel and sustainable design outcomes. To achieve this, new design methodologies are needed to create structures and processes that are composed of the inanimate and the living the physical, the biological and the artificial to differing ...
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Vector Hulls of Affine Spaces and Affine Bundles
Acta Applicandae Mathematicae, 2008The paper provides a general categorical language for some fundamental constructions connecting affine spaces, projective spaces and vector spaces over commutative fields. The central notion is that of a vector hull, defined for a given affine map of an affine space into a vector space, satisfying a universal property.
Gràcia, Xavier, Martín, Rubén
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Affine Curvature Scale Space with Affine Length Parametrisation
Pattern Analysis & Applications, 2001The maxima of Curvature Scale Space (CSS) image have been used to represent 2D shapes under affine transforms. The CSS image is expected to be in the MPEG-7 package of standards. Since the CSS image employs the arc length parametrisation which is not affine invariant, we expect some deviations in the maxima of the CSS image under general affine ...
Mokhtarian, F., Abbasi, S.
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Affine Space and Euclidean Space
2017Affine and euclidean space are discussed primarily in view of their use as models for physical space. Affine mappings and coordinate charts generated by them are examined. Furthermore, topological aspects are addressed.
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