Strongly Dependent Theories Sh863
نویسنده
چکیده
We further investigate the class of models of a strongly dependent (first order complete) theory T , continuing [Sh 715], [Sh 783] and related works. Those are properties (= classes) somewhat parallel to superstability among stable theory, though are different from it even for stable theories. We show equivalence of some of their definitions, investigate relevant ranks and give some examples, e.g. the first order theory of the p-adics is strongly dependent. The most notable result is: if |A| + |T | ≤ μ, I ⊆ C and |I| ≥ i|T |+(μ) then some J ⊆ I of cardinality μ + is an indiscernible sequence over A. This research was supported by the Israel Science Foundation I would like to thank Alice Leonhardt for the beautiful typing. First Typed 04/May/12 Latest Revision 2014/Sept/2 Typeset by AMS-TEX 1
منابع مشابه
Vibration Analysis of FG Micro-Beam Based on the Third Order Shear Deformation and Modified Couple Stress Theories
In this paper, free vibration analysis and forced vibration analysis of FG doubly clamped micro-beams is studied based on the third order shear deformation and modified couple stress theories. The size dependent dynamic equilibrium equations and both the classical and non-classical boundary conditions are derived using a variational approach. It is assumed that all properties of the FG micro-be...
متن کاملProducts of the Self-Reaction of HCO Radicals: Theoretical Kinetics Studies
The mechanism of the self-reaction of HCO radicals is investigated by using high-level quantum-chemical methods including M05-2X, CCSD, CCSD(T) and CRCC(2,3). Next, the rate coefficients for several product channels as a function of pressure and temperature are computed by employing statistical rate theories. Four important product channels are predicted to be CO + CO + H2, HCOH + OH, cis-(HCO)...
متن کاملThe independence property in generalized dense pairs of structures
We provide a general theorem implying that for a (strongly) dependent theory T the theory of su ciently well-behaved pairs of models of T is again (strongly) dependent. We apply the theorem to the case of lovely pairs of thorn-rank one theories as well as to a setting of dense pairs of rst-order topological theories.
متن کاملFree Vibration Analysis of Size-Dependent, Functionally Graded, Rectangular Nano/Micro-plates based on Modified Nonlinear Couple Stress Shear Deformation Plate Theories
In the present study, a vibration analysis of functionally graded rectangular nano-/microplates was considered based on modified nonlinear coupled stress exponential and trigonometric shear deformation plate theories. Modified coupled stress theory is a non-classical continuum mechanics theory. In this theory, a material-length scale parameter is applied to account for the effect of nanostructu...
متن کامل