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Yet Another Map Algebra

2008
*
Geoinformatica
*

This paper describes features of a language approach for

doi:10.1007/s10707-008-0045-4
fatcat:u722alp32zf73awrucl2srcbcu
*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 ...##
###
Algebraic functor slices

1992
*
Journal of Pure and Applied Algebra
*

Trnkovi,

doi:10.1016/0022-4049(92)90110-2
fatcat:nlk5446py5g6hafldakqo3pffu
*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~. ...##
###
WORKSHOP ON TOPOLOGY AND ABSTRACT ALGEBRA FOR BIOMEDICINE

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. ...

##
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Map algebra: one perspective

1994
*
Landscape and Urban Planning
*

This paper presents several broad and introductory views of

doi:10.1016/0169-2046(94)90063-9
fatcat:a7iqsge7ffc33k6gjmg3p7qgli
*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) . ...##
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Yet another proof of the Ado theorem
[article]

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

arXiv:1507.02233v5
fatcat:axj72s7p25bt7hgoomkkrgve4u
*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. ...##
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Duality for finite Hopf algebras explained by corings
[article]

2005
*
arXiv
*
pre-print

Schneider, which generalizes and unifies the duality theorem for finite Hopf

arXiv:math/0504427v2
fatcat:bnwgr4gv7bhyna7wywbr5rkvfe
*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 ...##
###
Duality for Finite Hopf Algebras Explained by Corings

2006
*
Applied Categorical Structures
*

Schneider, which generalizes and unifies the duality theorem for finite Hopf

doi:10.1007/s10485-006-9046-3
fatcat:ox2vomdvnnc7xp5zxaxmufnely
*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. ...##
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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). ...##
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Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan–Schwinger map

2000
*
Journal of Mathematical Physics
*

, through a realization of Lie

doi:10.1063/1.533157
fatcat:3537spxtfretxjxhvz4dmuo4em
*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*. ...##
###
Random mappings

1990
*
Advances in Mathematics
*

Surreal numbers are

doi:10.1016/0001-8708(90)90040-t
fatcat:iaaidhw5hvcsflnwlaopnmfvpu
*yet**another*invention of Conway, the great inventor of great new ideas. ... KOLCHIN, Random*Mappings*, Optimization Software, 1986, 203 pp. ...##
###
Monads and algebras in the semantics of partial data types

1992
*
Theoretical Computer Science
*

The concept of an effective lifting endofunctor was first introduced for

doi:10.1016/0304-3975(92)90176-g
fatcat:sbyavj7ilvbx3dr33wg7zdpnvu
*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. ...##
###
Axiomatic domain theory in categories of partial maps

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. ...

##
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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)

2018
*
Proceedings of the American Mathematical Society
*

We give an easy proof of Lang's theorem about the surjectivity of the Lang

doi:10.1090/s0002-9939-02-06591-7
fatcat:ttk2oxut3ffollz4l5gcxxoode
*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]. ...##
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The role of conceptual integration and simple dynamic scenarios in the meaning construction of the mapping in mathematics

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

doi:10.11649/cs.1723
fatcat:gfp3b4dty5fprjvdqcnw4kvdju
*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. ...
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