منابع مشابه
Differential Recursion and Differentially Algebraic Functions
Moore introduced a class of real-valued “recursive” functions by analogy with Kleene’s formulation of the standard recursive functions. While his concise definition inspired a new line of research on analog computation, it contains some technical inaccuracies. Focusing on his “primitive recursive” functions, we pin down what is problematic and discuss possible attempts to remove the ambiguity r...
متن کاملDifferential Recursion Relations for Laguerre Functions on Symmetric Cones
Let Ω be a symmetric cone and V the corresponding simple Euclidean Jordan algebra. In [2, 5, 6, 8] we considered the family of generalized Laguerre functions on Ω that generalize the classical Laguerre functions on R. This family forms an orthogonal basis for the subspace of L-invariant functions in L(Ω, dμν), where dμν is a certain measure on the cone and where L is the group of linear transfo...
متن کاملDifferential Recursion Relations for Laguerre Functions on Hermitian Matrices
Abstract. In our previous papers [1, 2] we studied Laguerre functions and polynomials on symmetric cones Ω = H/L. The Laguerre functions l n , n ∈ Λ, form an orthogonal basis in L(Ω, dμν ) and are related via the Laplace transform to an orthogonal set in the representation space of a highest weight representations (πν ,Hν) of the automorphism group G corresponding to a tube domain T (Ω). In thi...
متن کاملSymbolic Computation of Recursion Operators for Nonlinear Differential-Difference equations
An algorithm for the symbolic computation of recursion operators for systems of nonlinear differential-difference equations (DDEs) is presented. Recursion operators allow one to generate an infinite sequence of generalized symmetries. The existence of a recursion operator therefore guarantees the complete integrability of the DDE. The algorithm is based in part on the concept of dilation invari...
متن کاملOn recursion
It is a truism that conceptual understanding of a hypothesis is required for its empirical investigation. However, the concept of recursion as articulated in the context of linguistic analysis has been perennially confused. Nowhere has this been more evident than in attempts to critique and extend Hauseretal's. (2002) articulation. These authors put forward the hypothesis that what is uniquely ...
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ژورنال
عنوان ژورنال: ACM Transactions on Computational Logic
سال: 2009
ISSN: 1529-3785,1557-945X
DOI: 10.1145/1507244.1507252