-
1
-
-
0003615227
-
Complexity and Real Computation
-
Springer, Berlin
-
L. Blum, F. Cucker, M. Shub, S. Smale, Complexity and Real Computation, Springer, Berlin, 1998.
-
(1998)
-
-
Blum, L.1
Cucker, F.2
Shub, M.3
Smale, S.4
-
3
-
-
84958742393
-
The complexity of real recursive functions
-
C.S. Calude, M.J. Dinneen, F. Peper (Eds.), UNIC 2002, Lecture Notes in Computer Science, Springer, Berlin
-
M.L. Campagnolo, The complexity of real recursive functions, C.S. Calude, M.J. Dinneen, F. Peper (Eds.), Unconventional Models of Computation, UNIC 2002, Lecture Notes in Computer Science, Vol. 2509, Springer, Berlin, 2002, pp. 1-14.
-
(2002)
Unconventional Models of Computation
, vol.2509
, pp. 1-14
-
-
Campagnolo, M.L.1
-
4
-
-
0011287661
-
Iteration, inequalities, and differentiability in analog computers
-
M.L. Campagnolo, C. Moore, J.F. Costa, Iteration, inequalities, and differentiability in analog computers, J. Complexity 16 (4) (2000) 642-660.
-
(2000)
J. Complexity
, vol.16
, Issue.4
, pp. 642-660
-
-
Campagnolo, M.L.1
Moore, C.2
Costa, J.F.3
-
5
-
-
0036889222
-
An analog characterization of the Grzegorczyk hierarchy
-
M.L. Campagnolo, C. Moore, J.F. Costa, An analog characterization of the Grzegorczyk hierarchy, J. Complexity 18 (4) (2002) 977-1000.
-
(2002)
J. Complexity
, vol.18
, Issue.4
, pp. 977-1000
-
-
Campagnolo, M.L.1
Moore, C.2
Costa, J.F.3
-
6
-
-
0000948377
-
Even Turing machines can compute uncomputable functions
-
C.S. Calude, J. Casti, M.J. Dinneen (Eds.), Springer, Berlin
-
B.J. Copeland, Even Turing machines can compute uncomputable functions, in: C.S. Calude, J. Casti, M.J. Dinneen (Eds.), Unconventional Models of Computation, Springer, Berlin, 1998.
-
(1998)
Unconventional Models of Computation
-
-
Copeland, B.J.1
-
7
-
-
0003874621
-
-
Upper and lower bounds, Kluwer Academic Publishers, Dordrecht
-
L.D. Kudryavtsev, Encyclopaedia of Mathematics, Upper and lower bounds, Kluwer Academic Publishers, Dordrecht, 1993.
-
(1993)
Encyclopaedia of Mathematics
-
-
Kudryavtsev, L.D.1
-
8
-
-
0141615048
-
Analog computers and recursive functions over the reals
-
D. Graça, J.F. Costa, Analog computers and recursive functions over the reals, J. Complexity 19 (2003) 644-664.
-
(2003)
J. Complexity
, vol.19
, pp. 644-664
-
-
Graça, D.1
Costa, J.F.2
-
9
-
-
0141563264
-
Non-Turing computations via Malament Hogarth space-times
-
G. Etesi, I. Nemeti, Non-Turing computations via Malament Hogarth space-times, Internal. J. Theoret. Phys. 41(2002)341-370.
-
(2002)
Internal. J. Theoret. Phys.
, vol.41
, pp. 341-370
-
-
Etesi, G.1
Nemeti, I.2
-
10
-
-
0009949264
-
Arithmetical predicates and quantifiers
-
S.K. Kleene, Arithmetical predicates and quantifiers, Trans. Amer. Math. Soc. 79 (1955) 312-340.
-
(1955)
Trans. Amer. Math. Soc.
, vol.79
, pp. 312-340
-
-
Kleene, S.K.1
-
11
-
-
0008854035
-
Closed-form analytic maps in one and two dimensions can simulate universal Turing machines
-
P. Koiran, C. Moore, Closed-form analytic maps in one and two dimensions can simulate universal Turing machines, Theoret. Comput. Sci. 210 (1) (1999) 217-223.
-
(1999)
Theoret. Comput. Sci.
, vol.210
, Issue.1
, pp. 217-223
-
-
Koiran, P.1
Moore, C.2
-
12
-
-
84968510156
-
A differentially algebraic replacement theorem, and analog computation
-
L. Lipshitz, L.A. Rubel, A differentially algebraic replacement theorem, and analog computation, Proc. Amer. Math. Soc. 99 (2) (1987) 367-372.
-
(1987)
Proc. Amer. Math. Soc.
, vol.99
, Issue.2
, pp. 367-372
-
-
Lipshitz, L.1
Rubel, L.A.2
-
13
-
-
0030570631
-
Recursion theory on the reals and continuous-time computation
-
C. Moore, Recursion theory on the reals and continuous-time computation, Theoret. Comput. Sci. 162 (1996) 23-44.
-
(1996)
Theoret. Comput. Sci.
, vol.162
, pp. 23-44
-
-
Moore, C.1
-
14
-
-
0037901174
-
μ-recursion and infinite limits
-
J. Mycka, μ-recursion and infinite limits, Theoret. Comput. Sci. 302 (2003) 123-133.
-
(2003)
Theoret. Comput. Sci.
, vol.302
, pp. 123-133
-
-
Mycka, J.1
-
17
-
-
84967792518
-
Abstract computability and its relations to the general purpose analog computer
-
M.B. Pour-El, Abstract computability and its relations to the general purpose analog computer, Trans. Amer. Math. Soc. 199 (1974) 1-28.
-
(1974)
Trans. Amer. Math. Soc.
, vol.199
, pp. 1-28
-
-
Pour-El, M.B.1
-
18
-
-
0030260761
-
On the role ofmathernatics and mathematical knowledge in the invention of Vannevar Bush's early analog computers
-
S. Puchta, On the role ofmathernatics and mathematical knowledge in the invention of Vannevar Bush's early analog computers, IEEE Ann. History Comput. 18 (4) (1996) 49-59.
-
(1996)
IEEE Ann. History Comput.
, vol.18
, Issue.4
, pp. 49-59
-
-
Puchta, S.1
-
19
-
-
0030286377
-
Small universal Turing machines. Universal machines and computations
-
Y. Rogozhin, Small universal Turing machines. Universal machines and computations, Theoret. Comput. Sci. 168 (2) (1996) 215-240.
-
(1996)
Theoret. Comput. Sci.
, vol.168
, Issue.2
, pp. 215-240
-
-
Rogozhin, Y.1
-
20
-
-
38249030758
-
Some mathematical limitations of the general-purpose analog computer
-
L.A. Rubel, Some mathematical limitations of the general-purpose analog computer, Adv. Appl. Math. 9 (1988) 22-34.
-
(1988)
Adv. Appl. Math.
, vol.9
, pp. 22-34
-
-
Rubel, L.A.1
-
21
-
-
38249005670
-
The extended analog computer
-
L.A. Rubel, The extended analog computer, Adv. Appl. Math. 14 (1993) 39-50.
-
(1993)
Adv. Appl. Math.
, vol.14
, pp. 39-50
-
-
Rubel, L.A.1
-
22
-
-
85163157556
-
Mathematical theory of the differential analyzer
-
C. Shannon, Mathematical theory of the differential analyzer, J. Math. Phys. MIT 20 (1941) 337-354.
-
(1941)
J. Math. Phys. MIT
, vol.20
, pp. 337-354
-
-
Shannon, C.1
-
24
-
-
0000721912
-
The existence of noncollision singularities in Newtonian systems
-
Z. Xia, The existence of noncollision singularities in Newtonian systems, Ann. Math. 135 (3) (1992) 411-468.
-
(1992)
Ann. Math.
, vol.135
, Issue.3
, pp. 411-468
-
-
Xia, Z.1
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