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Ko, Ker
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Computational complexity of two-dimensional regions
Chou A., Ko K. (ed) SIAM Journal on Computing 24(5): 923-947, 1995. Type: Article
The notion of polynomial-time computability is crucial to discrete complexity theory. But complex analysis has been and is fundamentally continuous. Therefore, this paper is a gamble based on the authors’ expectation that pol...
...
Oct 1 1996
A polynomial-time computable curve whose interior has a nonrecursive measure
Ko K. (ed) Theoretical Computer Science 145(1-2): 241-270, 1995. Type: Article
Ko addresses two problems in this paper. First, given a simple closed curve in two-dimensional Euclidean space, obtain the area of its interior. Second, given a simple curve in two-dimensional Eu...
...
Sep 1 1996
Complexity theory of real functions
Ko K. (ed), Birkhäuser Boston Inc., Cambridge, MA, 1991. Type: Book (9780817635862)
Polynomial complexity theory, introduced in the pioneering works of Cook, Karp, and Levin on NP-completeness in 1970 and 1971, has inspired a new style of mathematics, namely polynomial mathematics. This style supplements the other est...
...
Jan 1 1993
A note on the two-variable pattern-finding problem
Ko K. (ed), Hua C. Journal of Computer and System Sciences 34(1): 75-86, 1987. Type: Article
This paper deals with an inductive inference problem: Given a sequence of strings over an alphabet &Sgr;, find a single (short) formula
p
of symbols in &Sgr; and additional variables
x, y, z
, . . . that generates ...
...
Apr 1 1989
On the computational complexity of ordinary differential equations
Ko K. (ed) Information and Control 58(1-3): 157-194, 1984. Type: Article
The basic thrust of the author’s research is an application of the classical Turing-machine based theory of computation to the classical problems of numerical analysis. This paper deals with the polynomial time computability ...
...
Jun 1 1985
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