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Volumn 138, Issue 1, 2003, Pages 127-149

The flux theory of gravitation XVII: The new mathematics and physics

Author keywords

Adic; Black hole; Cauchy sequence; Cosmic wave; Dark number; Fractal; Galaxy; Infinitesimal; Infinity; Limit; New nonstandard analysis; New real line; Nonstandard real; Order; Primum; Reals; Superstring; Toroidal flux; Unbounded number; Vortex

Indexed keywords

COMPUTATIONAL METHODS; FRACTALS; THEOREM PROVING; VECTORS;

EID: 0037408928     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00126-1     Document Type: Article
Times cited : (9)

References (84)
  • 5
    • 0003278998 scopus 로고    scopus 로고
    • Discover (1996) 38-45.
    • (1996) Discover , pp. 38-45
  • 6
    • 0007418758 scopus 로고    scopus 로고
    • (1999) 76-82.
    • (1999) Discover , pp. 76-82
  • 7
    • 0007416587 scopus 로고    scopus 로고
    • (1998) 66-75.
    • (1998) Discover , pp. 66-75
  • 10
    • 0000227334 scopus 로고    scopus 로고
    • The solution of the gravitational n-body problem
    • Escultura E.E. The solution of the gravitational n-body problem. Nonlinear Analysis. 30(8):1997;5021-5032.
    • (1997) Nonlinear Analysis , vol.30 , Issue.8 , pp. 5021-5032
    • Escultura, E.E.1
  • 11
    • 0000518650 scopus 로고    scopus 로고
    • Exact solutions of Fermat's equation (a definitive resolution of Fermat's last theorem)
    • Escultura E.E. Exact solutions of Fermat's equation (a definitive resolution of Fermat's last theorem). Nonlinear Studies. 5(2):1998;227-254.
    • (1998) Nonlinear Studies , vol.5 , Issue.2 , pp. 227-254
    • Escultura, E.E.1
  • 12
    • 0033102349 scopus 로고    scopus 로고
    • Superstring loop dynamics and applications to astronomy and biology
    • Escultura E.E. Superstring loop dynamics and applications to astronomy and biology. Nonlinear Analysis. 35(1):1999;259-285.
    • (1999) Nonlinear Analysis , vol.35 , Issue.1 , pp. 259-285
    • Escultura, E.E.1
  • 16
  • 17
    • 0035415316 scopus 로고    scopus 로고
    • Turbulence: Theory, verification and applications
    • Escultura E.E. Turbulence: theory, verification and applications. Nonlinear Analysis. 4(9):2001;5955-5966.
    • (2001) Nonlinear Analysis , vol.4 , Issue.9 , pp. 5955-5966
    • Escultura, E.E.1
  • 19
    • 0035490670 scopus 로고    scopus 로고
    • The flux theory of gravitation IV: Chaos, turbulence and fractal
    • Escultura E.E. The flux theory of gravitation IV: chaos, turbulence and fractal. Indian Journal of Pure and Applied Mathematics. 32(10):2001;1539-1551.
    • (2001) Indian Journal of Pure and Applied Mathematics , vol.32 , Issue.10 , pp. 1539-1551
    • Escultura, E.E.1
  • 20
    • 0037173508 scopus 로고    scopus 로고
    • The flux theory of gravitation V: The mathematics of the new physics
    • E.E. Escultura, The flux theory of gravitation V: the mathematics of the new physics, Journal of Applied Mathematics and Computation, 130 (1) (2002) 145-169.
    • (2002) Journal of Applied Mathematics and Computation , vol.130 , Issue.1 , pp. 145-169
    • Escultura, E.E.1
  • 21
    • 0002000938 scopus 로고    scopus 로고
    • The mathematics of chaos and turbulence and the invention of tornado breakers, deflectors and aborters
    • Philippines: National Research Council
    • Escultura E.E. The mathematics of chaos and turbulence and the invention of tornado breakers, deflectors and aborters. Proceedings Symposium on Basic Research and Economic Development. 2001;7-23 National Research Council, Philippines.
    • (2001) Proceedings Symposium on Basic Research and Economic Development , pp. 7-23
    • Escultura, E.E.1
  • 22
    • 0036447170 scopus 로고    scopus 로고
    • The flux theory of gravitation VI. Theory of Intelligence and evolution
    • Escultura E.E. The flux theory of gravitation VI. Theory of Intelligence and evolution. Indian Journal of Pure and Applied Mathematics. 33(1):2002;111-129.
    • (2002) Indian Journal of Pure and Applied Mathematics , vol.33 , Issue.1 , pp. 111-129
    • Escultura, E.E.1
  • 24
  • 27
    • 34347193348 scopus 로고
    • On formally undecidable propositions of principia mathematica and related systems
    • Springer-Verlag
    • Gödel K. On formally undecidable propositions of principia mathematica and related systems. Monatshefte für Mathematik und Physik. vol. 38:1931;173-198 Springer-Verlag.
    • (1931) Monatshefte für Mathematik und Physik , vol.38 , pp. 173-198
    • Gödel, K.1
  • 29
    • 0001794165 scopus 로고
    • On intuitionistic arithmetic and number theory
    • translation
    • K. Gödel, On intuitionistic arithmetic and number theory, Ergebnisse eines mathematischen Kollquiums, Heft 4, 1933, pp. 34-38 (translation).
    • (1933) Ergebnisse eines mathematischen Kollquiums , vol.4 , pp. 34-38
    • Gödel, K.1
  • 35
    • 0012026333 scopus 로고    scopus 로고
    • Matrix solution of diffusion equation
    • V.V. Gudkov, Matrix solution of diffusion equation, Nonlinear Analysis, 3 (2001) 161-162.
    • (2001) Nonlinear Analysis , vol.3 , pp. 161-162
    • Gudkov, V.V.1
  • 36
    • 0033159961 scopus 로고    scopus 로고
    • Geometrical properties of matrix solutions of Klein-Gordon equations
    • Gudkov V.V. Geometrical properties of matrix solutions of Klein-Gordon equations. Journal of Physics A: Mathematical and General. 32(26):1999;281-284.
    • (1999) Journal of Physics A: Mathematical and General , vol.32 , Issue.26 , pp. 281-284
    • Gudkov, V.V.1
  • 37
    • 0000622077 scopus 로고    scopus 로고
    • New types of wave solutions to the general nonlinear Klein-Gordon equation
    • Gudkov V.V. New types of wave solutions to the general nonlinear Klein-Gordon equation. Computational Mathematics and Mathematical Physics. 37(5):1997;584-589.
    • (1997) Computational Mathematics and Mathematical Physics , vol.37 , Issue.5 , pp. 584-589
    • Gudkov, V.V.1
  • 38
    • 0036129058 scopus 로고    scopus 로고
    • Mathematical models on the way from superstring to photon
    • V.V. Gudkov, E.E. Escultura, Mathematical models on the way from superstring to photon, Nonlinear Analysis, 3 (2002) 375-382.
    • (2002) Nonlinear Analysis , vol.3 , pp. 375-382
    • Gudkov, V.V.1    Escultura, E.E.2
  • 41
    • 70449535266 scopus 로고    scopus 로고
    • Some consequences of an analysis of the Kelvin-Clausius entropy formulation based on traditional axiomatics
    • accepted for publication
    • C.G. Jesudason, Some consequences of an analysis of the Kelvin-Clausius entropy formulation based on traditional axiomatics, Entropy, accepted for publication.
    • Entropy
    • Jesudason, C.G.1
  • 45
    • 0004229474 scopus 로고
    • J. Worral, & E. Zahar (Eds.), Cambridge: Cambridge University Press
    • Lakatos I. Worral J., Zahar E. Proofs and Refutations. 1976;Cambridge University Press, Cambridge.
    • (1976) Proofs and Refutations
    • Lakatos, I.1
  • 47
    • 0004288011 scopus 로고    scopus 로고
    • New Scientist (1997) 28-32.
    • (1997) New Scientist , pp. 28-32
  • 49
    • 0011832536 scopus 로고    scopus 로고
    • Our solar system
    • Joshua Morris Publishing Inc., Westport, CT
    • Our Solar System, A Reader's Digest Young Families Book, Joshua Morris Publishing Inc., Westport, CT, 1998.
    • (1998) A Reader's Digest Young Families Book
  • 51
    • 0002923034 scopus 로고    scopus 로고
    • Fires in the sky
    • Pendick D. Fires in the Sky. Earth. 20:1996;62-64.
    • (1996) Earth , vol.20 , pp. 62-64
    • Pendick, D.1
  • 55
    • 0024328941 scopus 로고
    • on potentiation of the synapses
    • Pokrovsky A.N. Biofizika. 34:1989;400. (on potentiation of the synapses).
    • (1989) Biofizika , vol.34 , pp. 400
    • Pokrovsky, A.N.1
  • 56
    • 0030225504 scopus 로고    scopus 로고
    • Mathematical model of the neural network memorizing the time interval
    • Pokrovsky A.N. Mathematical model of the neural network memorizing the time interval. Biofizika. 41(5):1996;1102-1105.
    • (1996) Biofizika , vol.41 , Issue.5 , pp. 1102-1105
    • Pokrovsky, A.N.1
  • 57
    • 0003204769 scopus 로고    scopus 로고
    • Fractal and non-fractal growth of biological cell systems
    • Catania
    • T. Postelnicu, Fractal and non-fractal growth of biological cell systems, Presented 3rd World Congress of Nonlinear Analysts, Catania, 2000.
    • (2000) 3rd World Congress of Nonlinear Analysts
    • Postelnicu, T.1
  • 70
    • 0000603921 scopus 로고
    • Modular elliptic curves and Fermat's last theorem
    • Wiles A. Modular elliptic curves and Fermat's last theorem. Annals of Mathematics. 141(3):1995;443-551.
    • (1995) Annals of Mathematics , vol.141 , Issue.3 , pp. 443-551
    • Wiles, A.1
  • 71
    • 0000674810 scopus 로고
    • Ring-theoretic properties of certain Hecke Algebras
    • Wiles A., Taylor R. Ring-theoretic properties of certain Hecke Algebras. Annals of Mathematics. 141(3):1995;553-572.
    • (1995) Annals of Mathematics , vol.141 , Issue.3 , pp. 553-572
    • Wiles, A.1    Taylor, R.2
  • 73
    • 0001331327 scopus 로고
    • Generalized curves and the existence of an attained absolute minimum in the calculus of variations
    • Varsovie, Cl III
    • L.C. Young, Generalized curves and the existence of an attained absolute minimum in the calculus of variations, Camp. Rend. Sac. Sci. Letter, Varsovie, Cl III, 30 (1937) 211-234.
    • (1937) Camp. Rend. Sac. Sci. Letter , vol.30 , pp. 211-234
    • Young, L.C.1
  • 74
    • 51249195243 scopus 로고
    • Necessary conditions in the calculus of variations
    • Young L.C. Necessary conditions in the calculus of variations. Acta Mathematica. 69:1938;239-258.
    • (1938) Acta Mathematica , vol.69 , pp. 239-258
    • Young, L.C.1
  • 75
    • 0001827971 scopus 로고
    • Generalized surfaces in the calculus of variations. I. Generalized Lipschitzian surfaces
    • (a) L.C. Young, Generalized surfaces in the calculus of variations. I. Generalized Lipschitzian surfaces, Annals of Mathematics 43 (2) (1942) 84-103.
    • (1942) Annals of Mathematics , vol.43 , Issue.2 , pp. 84-103
    • Young, L.C.1
  • 76
    • 0001827972 scopus 로고
    • Generalized surfaces in the calculus of variations. II. Mean surfaces and the theory of the problem ∫ ∫ f(x,y,p,q)dx dy = Min.
    • (b) Young L.C. Generalized surfaces in the calculus of variations. II. Mean surfaces and the theory of the problem. ∫∫f(x,y,p,q)dx dy=Min . Annals of Mathematics. 43(3):1942;530-544.
    • (1942) Annals of Mathematics , vol.43 , Issue.3 , pp. 530-544
    • Young, L.C.1
  • 77
    • 0001443433 scopus 로고
    • Some applications to of the Dirichlet integral to the theory of surfaces
    • Young L.C. Some applications to of the Dirichlet integral to the theory of surfaces. Transactions of the American Mathematical Society. 64:1948;317-335.
    • (1948) Transactions of the American Mathematical Society , vol.64 , pp. 317-335
    • Young, L.C.1
  • 80
    • 0001082582 scopus 로고
    • Contours on generalized and extremal varieties
    • Young L.C. Contours on generalized and extremal varieties. Journal of Mathematics and Mechanics. 11:1962;615-646.
    • (1962) Journal of Mathematics and Mechanics , vol.11 , pp. 615-646
    • Young, L.C.1


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