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The recursion removal algorithm presented by Strong and Walker is amplified and applied to a relatively complex PL/I program. The aim is to demonstrate systematic recursion-removal techniques on something more complex than Knuth's “sturdy toddler” and to
H R Strong
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Statistica Neerlandica, 1978
AbstractThe purpose of this paper is to give an exposition of the theory behind the Kalman filter and its application to the so‐called LQG‐problem. This problem is concerned with the stochastic optimal control of a linear system with respect to a quadratic cost in the presence Gaussian disturbances.
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AbstractThe purpose of this paper is to give an exposition of the theory behind the Kalman filter and its application to the so‐called LQG‐problem. This problem is concerned with the stochastic optimal control of a linear system with respect to a quadratic cost in the presence Gaussian disturbances.
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Recursion versus non-recursion in Pascal: recursion can be faster
ACM SIGPLAN Notices, 1987A timing study of two Pascal programs on three machines provides some evidence that, for modern machines and compilers, the cost of removing recursion in non-trivial situations can sometimes be greater than the cost of the recursive procedure calls.
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Proceedings of the 18th ACM Great Lakes symposium on VLSI, 2008
High-level synthesis tools automatically generate custom hardware circuits from high-level languages, including popular programming languages like standard ANSI C, but are unable to handle recursive functions. The convenience of recursive algorithms has made recursion a widespread programming practice, therefore limiting the applicability of high-level
Greg Stitt, Jason R. Villarreal
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High-level synthesis tools automatically generate custom hardware circuits from high-level languages, including popular programming languages like standard ANSI C, but are unable to handle recursive functions. The convenience of recursive algorithms has made recursion a widespread programming practice, therefore limiting the applicability of high-level
Greg Stitt, Jason R. Villarreal
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Recursive Boolean algebras with recursive atoms
Journal of Symbolic Logic, 1981A Boolean algebra (henceforth abbreviated B.A.) is said to be recursive if B is a recursive subset of the natural numbers N and the operations ∧ (meet), ∨ (join), and ¬ (complement) are partial recursive. Let denote the set of atoms of and denote the ideal generated by the atoms of .
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Recursive Colorings of Highly Recursive Graphs
Canadian Journal of Mathematics, 1981One of the attractions of finite combinatorics is its explicit constructions. This paper is part of a program to enlarge the domain of finite combinatorics to certain infinite structures while preserving the explicit constructions of the smaller domain. The larger domain to be considered consists of the recursive structures.
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Recursive Enumerability and Recursivity
1993Abstract Having proved that Peano Arithmetic is incomplete, we can ask another question about the system. Is there any algorithm (mechanical procedure) by which we can determine which sentences are provable in the system and which are not? This brings us to the subject of recursive function theory, to which we now turn.
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A Difference in Complexity Between Recursion and Tail Recursion
Theory of Computing Systems, 2016Two types of recursive programs over abstract structures are considered in this paper -- the most general recursive programs and tail recursive programs (which are equivalent to iterative programs). There are structures over which these two types determine one and the same class of computable functions. However, is the price of the computations one and
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Kybernetes, 2007
PurposeThe aim in this paper is to investigate the dynamics of difference equation yn+1=(pyn+yn−k)/(qyn+yn−k), n=0,1,2,… where k∈{1,2,3,…}, the initial conditions y−k, … ,y−1,y0 and the parameters p and q are non‐negative.Design/methodology/approachThe paper studies characteristics such as the character of semicycles, periodicity and the global ...
Mehdi Dehghan 0002 +1 more
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PurposeThe aim in this paper is to investigate the dynamics of difference equation yn+1=(pyn+yn−k)/(qyn+yn−k), n=0,1,2,… where k∈{1,2,3,…}, the initial conditions y−k, … ,y−1,y0 and the parameters p and q are non‐negative.Design/methodology/approachThe paper studies characteristics such as the character of semicycles, periodicity and the global ...
Mehdi Dehghan 0002 +1 more
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Recursion and Recursive Algorithms
1978Before continuing with the treatment of search methods a full discussion of recursion is needed to prepare the ground for the next chapter on binary trees.
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