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Yet Another Map Algebra
2008
Geoinformatica
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This paper describes features of a language approach for map algebra based on the use of algebraic expressions that satisfy a concise formalism. ...
The result is an efficient way of implementing map algebra that simplifies its use on environmental and dynamic models without going too far from its well-known paradigm. ...
Another point to be explored in future works comes from the simplicity and low memory demand of pushdown automata implementations, that may possibly ease the task of extending map algebra to parallel architectures ...
doi:10.1007/s10707-008-0045-4
fatcat:u722alp32zf73awrucl2srcbcu
Algebraic functor slices
1992
Journal of Pure and Applied Algebra
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Trnkovi, Algebraic functor slices. Journal of Pure and Applied Algebra 78 (1992) 275-290. Forgetful functors of any two categories of monadic algebras over 3% for which the functor Tin a monad T = ...
To (X) , and that a the category of all universal algebras of a nonvoid nullary type A" and, in particular, Yet, mapping f : X-+X' is a morphism of S(F) from (X, R) to (X', R') exactly when [F(f)](R) ...
For any object A = (X, cp) of 4nv we set W(A) = (H(X), h,), where Then h, : TH(X)-H(X) is a well-defined mapping.
be another object of 9nv and let f : (X, q)+ (X', cp') be a morphism in 9~. ...
doi:10.1016/0022-4049(92)90110-2
fatcat:nlk5446py5g6hafldakqo3pffu
WORKSHOP ON TOPOLOGY AND ABSTRACT ALGEBRA FOR BIOMEDICINE
2015
Biocomputing 2016
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another. ...
Yet, due to their mathematical generalities, other facets of abstract algebras have not easily been applied to domain-specific applications such as biomedical research. ...
doi:10.1142/9789814749411_0053
fatcat:bifrsjmdcvf73kkzt3lfo4ls44
Map algebra: one perspective
1994
Landscape and Urban Planning
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This paper presents several broad and introductory views of map algebra that attempt to place this approach in conceptual and historical context. ...
Map algebra is a general set of conventions, capabilities, and techniques that have been widely adopted for use with geographic information systems (GISs). ...
It was in the late 1970s that that term became associated with yet another descendant of SY-MAP, a rewrite of IMGRID entitled the Map Analysis Package or MAP (Tomlin, 1980) . ...
doi:10.1016/0169-2046(94)90063-9
fatcat:a7iqsge7ffc33k6gjmg3p7qgli
Yet another proof of the Ado theorem
[article]
2018
arXiv
pre-print
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We give a simple proof of the Birkhoff theorem about existence of a faithful representation for any finite-dimensional nilpotent Lie algebra of characteristic zero. ...
or another finiteness condition (cf., e.g., [Za] ). ...
However, all such derivations employ the universal enveloping algebra in a non-trivial way. A short, "natural", and characteristic-free proof of the Ado theorem is yet to be found. ...
arXiv:1507.02233v5
fatcat:axj72s7p25bt7hgoomkkrgve4u
Duality for finite Hopf algebras explained by corings
[article]
2005
arXiv
pre-print
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Schneider, which generalizes and unifies the duality theorem for finite Hopf algebras and its refinements. ...
We give a coring version for the duality theorem for actions and coactions of a finitely generated projective Hopf algebra. We also provide a coring analogue for a theorem of H.-J. ...
Then End A (M ) is a left H-module algebra via the action (h · f )(m) = h (1) f (S(h End A (M )#H ≃ End B (M ), There is yet another question about the finite duality theorem that seems worth answering ...
arXiv:math/0504427v2
fatcat:bnwgr4gv7bhyna7wywbr5rkvfe
Duality for Finite Hopf Algebras Explained by Corings
2006
Applied Categorical Structures
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Schneider, which generalizes and unifies the duality theorem for finite Hopf algebras and its refinements. ...
We give a coring version for the duality theorem for actions and coactions of a finitely generated projective Hopf algebra. We also provide a coring analogue for a theorem of H.-J. ...
Then End A (M ) is a left H-module algebra via the action (h · f )(m) = h (1) f (S(h End A (M )#H End B (M ), There is yet another question about the finite duality theorem that seems worth answering. ...
doi:10.1007/s10485-006-9046-3
fatcat:ox2vomdvnnc7xp5zxaxmufnely
Page 3044 of Mathematical Reviews Vol. , Issue 99e
[page]
1999
Mathematical Reviews
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The methods are simple, beautiful, and concrete, yet
| very powerful.
14 ALGEBRAIC GEOMETRY
Ravi D. ...
The enumerative invari- ants are probably best understood as “relative Gromov-Witten invariants” (which have yet to be properly defined in algebraic ge- ometry). ...
Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan–Schwinger map
2000
Journal of Mathematical Physics
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1999 pre-print arXiv:math-ph/9902005v1 fatcat:szw3asfhsvdafea74qqwokhglaOther Versions
, through a realization of Lie algebras using the parabosonic (and parafermionic) extension of the Jordan Schwinger map. ...
The aim of this paper is to show that there is a Hopf structure of the parabosonic and parafermionic algebras and this Hopf structure can generate the well known Hopf algebraic structure of the Lie algebras ...
The q-deformed versions of parabosonic or the parafermionic algebras Another open problem is the q-deformed extension of the Jordan-Schwinger map. ...
doi:10.1063/1.533157
fatcat:3537spxtfretxjxhvz4dmuo4em
Random mappings
1990
Advances in Mathematics
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Surreal numbers are yet another invention of Conway, the great inventor of great new ideas. ...
KOLCHIN, Random Mappings, Optimization Software, 1986, 203 pp. ...
doi:10.1016/0001-8708(90)90040-t
fatcat:iaaidhw5hvcsflnwlaopnmfvpu
Monads and algebras in the semantics of partial data types
1992
Theoretical Computer Science
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The concept of an effective lifting endofunctor was first introduced for yet another topos, REC, the recursive topos where it was shown to be a refinement of the partial map classifier. ...
These categories of algebras have arisen naturally in examples such as domains, yet the approach of this paper is considerably more general. ...
doi:10.1016/0304-3975(92)90176-g
fatcat:sbyavj7ilvbx3dr33wg7zdpnvu
Axiomatic domain theory in categories of partial maps
1998
Science of Computer Programming
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Yet another pleasing result is that the two natural notions of approximation obtained by testing and observing partial maps in this approach do coincide. ...
and, moreover, the inverse of such an initial algebra is a final coalgebra -a property known as algebraic compactness. ...
doi:10.1016/s0167-6423(98)90035-1
fatcat:nifmbgz63zdbvkztrz4w72rski
Page 623 of American Mathematical Society. Bulletin of the American Mathematical Society Vol. 62, Issue 6
[page]
1956
American Mathematical Society. Bulletin of the American Mathematical Society
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The only consequential theorem about the homology of augmented rings is a mapping theorem (VIII, 3.1) which gives the machinery for changing from one ring A to another. ...
Another danger of shiny new notions is that sometimes the shine proves illusory. ...
:{unav)
2018
Proceedings of the American Mathematical Society
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We give an easy proof of Lang's theorem about the surjectivity of the Lang map g → g −1 F (g) on a linear algebraic group defined over a finite field, where F is a Frobenius endomorphism. ...
We give yet another proof, which rests on very basic (and easily proven) properties of algebraic groups. The argument can be used at an early stage in text books on algebraic groups. Proof. ...
The map g → g −1 F (g) is surjective on G. The usual argument uses differentials; see [1, 16.4] , [2, 3 .10], [5, 3.3 .16]. ...
doi:10.1090/s0002-9939-02-06591-7
fatcat:ttk2oxut3ffollz4l5gcxxoode
The role of conceptual integration and simple dynamic scenarios in the meaning construction of the mapping in mathematics
2018
Cognitive Studies | Études cognitives
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The paper then demonstrates how these dynamic scenarios help to avoid the problem of circularity of the (static) formal definition of the mapping. ...
The role of conceptual integration and simple dynamic scenarios in the meaning construction of the mapping in mathematicsOver the last two decades the impact of conceptual metaphor and conceptual blending ...
dynamic scenarios, which have not been discussed yet, that can be found in the algebra textbooks. ...
doi:10.11649/cs.1723
fatcat:gfp3b4dty5fprjvdqcnw4kvdju
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