APPROXIMATIONS OF THEORIES

被引:9
|
作者
Sudoplatov, S., V [1 ,2 ,3 ]
机构
[1] Sobolev Inst Math, 4 Acad Koptyug Ave, Novosibirsk 630090, Russia
[2] Novosibirsk State Tech Univ, 20 K Marx Ave, Novosibirsk 630073, Russia
[3] Novosibirsk State Univ, 1 Pirogova Str, Novosibirsk 630090, Russia
关键词
approximation of theory; combination of structures; closure; finitely axiomatizable theory; e-spectrum; FAMILIES; FINITE;
D O I
10.33048/semi.2020.17.049
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study approximations of theories both in general context and with respect to some natural classes of theories. Some kinds of approximations are considered, connections with finitely axiomatizable theories and minimal generating sets of theories as well as their e-spectra are found. e-categorical approximating families are introduced and characterized.
引用
收藏
页码:715 / 725
页数:11
相关论文
共 50 条
  • [31] CONTINUUM ORBITAL APPROXIMATIONS IN WEAK-COUPLING THEORIES FOR INELASTIC ELECTRON-SCATTERING
    PEEK, JM
    MANN, JB
    PHYSICAL REVIEW A, 1977, 16 (06): : 2315 - 2322
  • [32] Approximations based on density-matrix embedding theory for density-functional theories
    Theophilou, Iris
    Reinhard, Teresa E.
    Rubio, Angel
    Ruggenthaler, Michael
    ELECTRONIC STRUCTURE, 2021, 3 (03):
  • [33] MEAN FIELD APPROXIMATIONS FOR U(N) AND SU(N) LATTICE GAUGE-THEORIES
    MULLER, VF
    RUHL, W
    JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (12) : 2461 - 2466
  • [34] Evaluation of various theories of the thickness and curvature approximations for free vibrational analysis of cylindrical and spherical shells
    Carrera E.
    Campisi C.
    Cinefra M.
    Soave M.
    International Journal of Vehicle Noise and Vibration, 2011, 7 (01) : 16 - 36
  • [35] On the restricted and combined use of Rudenberg's approximations in molecular orbital theories of Hartree-Fock type
    Koch, W
    Frey, B
    Ruiz, JFS
    Scior, T
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2003, 58 (12): : 756 - 784
  • [36] Mathematical Models of Chiral Symmetry-breaking – A Review of General Theories, and Adiabatic Approximations of the APED System
    Priscila C. Diniz
    Jonathan A. D. Wattis
    Fernando P. da Costa
    Origins of Life and Evolution of Biospheres, 2022, 52 : 183 - 204
  • [37] Mathematical Models of Chiral Symmetry-breaking - A Review of General Theories, and Adiabatic Approximations of the APED System
    Diniz, Priscila C.
    Wattis, Jonathan A. D.
    da Costa, Fernando P.
    ORIGINS OF LIFE AND EVOLUTION OF BIOSPHERES, 2022, 52 (04): : 183 - 204
  • [38] LOCALIZATION OF STATES IN TWO-DIMENSIONAL DISORDERED-SYSTEMS - TRAVELING CLUSTER APPROXIMATIONS AND SCALING THEORIES
    CHITANVIS, SM
    LEATH, PL
    JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1983, 16 (06): : 1049 - 1066
  • [39] On the restricted and combined use of Rudenberg's approximations in crystal orbital theories of Hartree-Fock type
    Koch, W
    Frey, B
    Ruiz, JFS
    Scior, T
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2004, 59 (09): : 568 - 590
  • [40] OPERATOR EQUATIONS IN APPROXIMATE MOLECULAR-ORBITAL THEORIES .2. INTEGRAL APPROXIMATIONS AND CHARGE DISTRIBUTIONS
    JUG, K
    THEORETICA CHIMICA ACTA, 1972, 26 (03): : 231 - &