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Yet Another Map Algebra

João Pedro Cerveira Cordeiro, Gilberto Câmara, Ubirajara Moura de Freitas, Felipe Almeida
2008 Geoinformatica  
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

V. Koubek, J. Sichler, V. Trnková
1992 Journal of Pure and Applied Algebra  
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

ERIC K. NEUMANN, SVETLANA LOCKWOOD, BALA KRISHNAMOORTHY, DAVID SPIVAK
2015 Biocomputing 2016  
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

C.Dana Tomlin
1994 Landscape and Urban Planning  
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]

Pasha Zusmanovich
2018 arXiv   pre-print
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]

S. Caenepeel, D. Quinn, S. Raianu
2005 arXiv   pre-print
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

S. Caenepeel, D. Quinn, Ş Raianu
2006 Applied Categorical Structures  
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  
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

C. Daskaloyannis, K. Kanakoglou, I. Tsohantjis
2000 Journal of Mathematical Physics  
, 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

Gian-Carlo Rota
1990 Advances in Mathematics  
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

Philip S. Mulry
1992 Theoretical Computer Science  
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

Daniele Turi
1998 Science of Computer Programming  
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  
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)

Peter Müller
2018 Proceedings of the American Mathematical Society  
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

Jacek Woźny
2018 Cognitive Studies | Études cognitives  
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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