-
7
-
-
38249024058
-
The golden section in the measurement theory
-
Stakhov A.P. The golden section in the measurement theory. Int J Comput Math Appl 17 4-6 (1989) 613-638
-
(1989)
Int J Comput Math Appl
, vol.17
, Issue.4-6
, pp. 613-638
-
-
Stakhov, A.P.1
-
8
-
-
4243119158
-
Hyperbolic Fibonacci trigonometry
-
[in Russian]
-
Stakhov A.P., and Tkachenko I.S. Hyperbolic Fibonacci trigonometry. J Rep Ukrainian Acad Sci 208 7 (1993) 9-14 [in Russian]
-
(1993)
J Rep Ukrainian Acad Sci
, vol.208
, Issue.7
, pp. 9-14
-
-
Stakhov, A.P.1
Tkachenko, I.S.2
-
9
-
-
18544382160
-
The golden section and modern harmony mathematics
-
Kluwer Academic Publishers, Dordrecht, Boston, London p. 393-9
-
Stakhov A.P. The golden section and modern harmony mathematics. Applications of Fibonacci numbers vol. 7 (1998), Kluwer Academic Publishers, Dordrecht, Boston, London p. 393-9
-
(1998)
Applications of Fibonacci numbers
, vol.7
-
-
Stakhov, A.P.1
-
10
-
-
18544379418
-
A generalization of the Fibonacci Q-matrix
-
Stakhov A.P. A generalization of the Fibonacci Q-matrix. J Rep Ukrainian Acad Sci 9 (1999) 46-49
-
(1999)
J Rep Ukrainian Acad Sci
, Issue.9
, pp. 46-49
-
-
Stakhov, A.P.1
-
11
-
-
33847073829
-
-
Stakhov A, Massingue V, Sluchenkova A. Introduction into Fibonacci coding and cryptography. Kharkov: Publisher "Osnova": 1999. ISBN 5-7768-0638-0.
-
-
-
-
12
-
-
0036232687
-
Brousentsov's ternary principle, Bergman's number system and ternary mirror-symmetrical arithmetic
-
Stakhov A.P. Brousentsov's ternary principle, Bergman's number system and ternary mirror-symmetrical arithmetic. Comput J 45 2 (2002) 222-236
-
(2002)
Comput J
, vol.45
, Issue.2
, pp. 222-236
-
-
Stakhov, A.P.1
-
14
-
-
18544388629
-
Generalized golden sections and a new approach to geometric definition of a number
-
[in Russian]
-
Stakhov A.P. Generalized golden sections and a new approach to geometric definition of a number. Ukrainian Math J 56 8 (2004) 1143-1150 [in Russian]
-
(2004)
Ukrainian Math J
, vol.56
, Issue.8
, pp. 1143-1150
-
-
Stakhov, A.P.1
-
15
-
-
4243183592
-
On a new class of hyperbolic function
-
Stakhov A., and Rozin B. On a new class of hyperbolic function. Chaos, Solitons & Fractals 3 2 (2004) 379-389
-
(2004)
Chaos, Solitons & Fractals
, vol.3
, Issue.2
, pp. 379-389
-
-
Stakhov, A.1
Rozin, B.2
-
17
-
-
24944449014
-
The "golden" algebraic equations
-
Stakhov A., and Rozin B. The "golden" algebraic equations. Chaos, Solitons & Fractals 27 5 (2005) 1415-1421
-
(2005)
Chaos, Solitons & Fractals
, vol.27
, Issue.5
, pp. 1415-1421
-
-
Stakhov, A.1
Rozin, B.2
-
18
-
-
24944441225
-
Theory of Binet formulas for Fibonacci and Lucas p-numbers
-
Stakhov A., and Rozin B. Theory of Binet formulas for Fibonacci and Lucas p-numbers. Chaos, Solitons & Fractals 27 5 (2005) 1162-1177
-
(2005)
Chaos, Solitons & Fractals
, vol.27
, Issue.5
, pp. 1162-1177
-
-
Stakhov, A.1
Rozin, B.2
-
19
-
-
27744450684
-
The continuous functions for the Fibonacci and Lucas p-numbers
-
Stakhov A., and Rozin B. The continuous functions for the Fibonacci and Lucas p-numbers. Chaos, Solitons & Fractals 28 4 (2006) 1014-1025
-
(2006)
Chaos, Solitons & Fractals
, vol.28
, Issue.4
, pp. 1014-1025
-
-
Stakhov, A.1
Rozin, B.2
-
20
-
-
18544386528
-
The generalized principle of the golden section and its applications in mathematics, science, and engineering
-
Stakhov A. The generalized principle of the golden section and its applications in mathematics, science, and engineering. Chaos, Solitons & Fractals 26 2 (2005) 263-289
-
(2005)
Chaos, Solitons & Fractals
, vol.26
, Issue.2
, pp. 263-289
-
-
Stakhov, A.1
-
21
-
-
24944543427
-
Fundamentals of a new kind of mathematics based on the golden section
-
Stakhov A. Fundamentals of a new kind of mathematics based on the golden section. Chaos, Solitons & Fractals 27 5 (2005) 1124-1146
-
(2005)
Chaos, Solitons & Fractals
, vol.27
, Issue.5
, pp. 1124-1146
-
-
Stakhov, A.1
-
22
-
-
33847009888
-
-
Spinadel VW. La familia de números metálicos en Diseño. Primer Seminario Nacional de Gráfica Digital, Sesión de Morfología y Matemática, FADU, UBA, 11-13 Junio de 1997, vol. II, ISBN 950-25-0424-9 [in Spanish].
-
-
-
-
24
-
-
33847038817
-
-
Spinadel VW. From the golden mean to chaos. Buenos Aires, Argentina: Editorial Nueva Libreri{dotless}́a; 1998, ISBN 950-43-9329-1 [second edition Nobuko, 2004].
-
-
-
-
25
-
-
33847021509
-
-
Spinadel VW. In: Kim Williams (editor), The metallic means and design. Nexus II: architecture and mathematics. Edizioni dell'Erba, 1998, ISBN 88-86888-13-9.
-
-
-
-
26
-
-
33847061710
-
A new family of irrational numbers with curious properties
-
ISSN 1065-82
-
Spinadel V.W. A new family of irrational numbers with curious properties. Human Math Network J 19 (1999) 33-37 ISSN 1065-82
-
(1999)
Human Math Network J
, Issue.19
, pp. 33-37
-
-
Spinadel, V.W.1
-
27
-
-
0033148822
-
The metallic means family and multifractal spectra
-
Spinadel V.W. The metallic means family and multifractal spectra. Nonlinear Analysis 36 (1999) 721-745
-
(1999)
Nonlinear Analysis
, vol.36
, pp. 721-745
-
-
Spinadel, V.W.1
-
28
-
-
33847040448
-
-
Spinadel VW. The golden mean and its many relatives. In: First interdisciplinary conference of the international society of the arts, mathematics and architecture ISAMA 99, San Sebastián, Spain, 7-11 June 1999, p. 453-60, ISBN 84-930669-0-7.
-
-
-
-
29
-
-
33846336943
-
The family of metallic means
-
Available from:
-
Spinadel V.W. The family of metallic means. Vis Math 1 3 (1999). http://members.tripod.com/vismath/ Available from:
-
(1999)
Vis Math
, vol.1
, Issue.3
-
-
Spinadel, V.W.1
-
31
-
-
33847082558
-
The metallic means family and renormalization group techniques
-
Spinadel V.W. The metallic means family and renormalization group techniques. Proc Steklov Inst Math 1 (2000) 194-209
-
(2000)
Proc Steklov Inst Math
, Issue.1
, pp. 194-209
-
-
Spinadel, V.W.1
-
32
-
-
8744292260
-
The metallic means family and forbidden symmetries
-
Spinadel V.W. The metallic means family and forbidden symmetries. Int Math J 2 3 (2002) 279-288
-
(2002)
Int Math J
, vol.2
, Issue.3
, pp. 279-288
-
-
Spinadel, V.W.1
-
33
-
-
0002792568
-
A number system with an irrational base
-
Bergman G. A number system with an irrational base. Math Mag 31 (1957) 98-119
-
(1957)
Math Mag
, Issue.31
, pp. 98-119
-
-
Bergman, G.1
-
35
-
-
0027696006
-
On dimensions of Cantor set related systems
-
El Naschie M.S. On dimensions of Cantor set related systems. Chaos, Solitons & Fractals 3 (1993) 675-685
-
(1993)
Chaos, Solitons & Fractals
, vol.3
, pp. 675-685
-
-
El Naschie, M.S.1
-
36
-
-
44949283665
-
Quantum mechanics and the possibility of a Cantorian space-time
-
El Nashie M.S. Quantum mechanics and the possibility of a Cantorian space-time. Chaos, Solitons & Fractals 1 (1992) 485-487
-
(1992)
Chaos, Solitons & Fractals
, vol.1
, pp. 485-487
-
-
El Nashie, M.S.1
-
37
-
-
0028375285
-
Is quantum space a random cantor set with a golden mean dimension at the core?
-
El Nashie M.S. Is quantum space a random cantor set with a golden mean dimension at the core?. Chaos, Solitons & Fractals 4 2 (1994) 177-179
-
(1994)
Chaos, Solitons & Fractals
, vol.4
, Issue.2
, pp. 177-179
-
-
El Nashie, M.S.1
-
38
-
-
22844435047
-
Elementary number theory in superstrings, loop quantum mechanics, twisters and E-infinity high energy physics
-
El Naschie M.S. Elementary number theory in superstrings, loop quantum mechanics, twisters and E-infinity high energy physics. Chaos, Solitons & Fractals 27 2 (2006) 297-330
-
(2006)
Chaos, Solitons & Fractals
, vol.27
, Issue.2
, pp. 297-330
-
-
El Naschie, M.S.1
-
39
-
-
4243082744
-
Quark icosahedron, charges and Vainberg's angle
-
Vinnitsa State Agricultural University, Vinnitsa
-
Vladimirov Y.S. Quark icosahedron, charges and Vainberg's angle. Proceedings of the international conference "problems of harmony, symmetry and the golden section in nature, science, and art (2003), Vinnitsa State Agricultural University, Vinnitsa 69-79
-
(2003)
Proceedings of the international conference "problems of harmony, symmetry and the golden section in nature, science, and art
, pp. 69-79
-
-
Vladimirov, Y.S.1
-
41
-
-
8744272421
-
Hyperbolic universes with a horned topology and the CMB anisotropy
-
Aurich R., Lusting S., Steiner F., and Then H. Hyperbolic universes with a horned topology and the CMB anisotropy. Classical Quantum Gravity 21 (2004) 4901-4926
-
(2004)
Classical Quantum Gravity
, Issue.21
, pp. 4901-4926
-
-
Aurich, R.1
Lusting, S.2
Steiner, F.3
Then, H.4
-
42
-
-
0036643089
-
Wild topology, hyperbolic geometry and fusion algebra of high energy particles physics
-
El Naschie M.S. Wild topology, hyperbolic geometry and fusion algebra of high energy particles physics. Chaos, Solitons & Fractals 13 9 (2002) 1932-1946
-
(2002)
Chaos, Solitons & Fractals
, vol.13
, Issue.9
, pp. 1932-1946
-
-
El Naschie, M.S.1
|