We characterize those functions f : C → C definable in o-minimal expansions of the reals for which the structure (C,+, f) is strongly minimal: such functions must be complex constructible, possibly after conjugating by a real matrix. In particular we prove a special case of the Zilber Dichotomy: an algebraically closed field is definable in certain strongly minimal structures which are definabl...

We show that every basis for the countable Borel equivalence relations strictly above E0 under measure reducibility is uncountable, thereby ruling out natural generalizations of the Glimm-Effros dichotomy. We also push many known results concerning the abstract structure of the measure reducibility hierarchy to its base, using arguments substantially simpler than those previously employed.

Generalising and unifying the known theorems for difference and differential fields, it is shown that for every finite free S-algebra D over a field A of characteristic zero the theory of D-fields has a model companion D -CF0 which is simple and satisfies the Zilber dichotomy for finite-dimensional minimal types.

We study the complexity of generalized satissability problem for formulas whose variables occur at most twice. We prove a dichotomy theorem for a special case of generalized satissability with constants and a suucient condition, inspired by matching theory, for its polynomial time solvability.

in view of native/nonnative language teacher dichotomy, different characteristics have been assigned to these 2 groups. the dichotomy has been the source of different actions and measures to clarify the positive and negative points of being (non)native teachers. in recent years, many researchers have revisited this dichotomy. the challenge to the dichotomy can be a source of motivation to explo...

In view of native/nonnative language teacher dichotomy, different characteristics have been assigned to these 2 groups. The dichotomy has been the source of different actions and measures to clarify the positive and negative points of being (non)native teachers. In recent years, many researchers have revisited this dichotomy. The challenge to the dichotomy can be a source of motivation to explo...

the complexes of mn(oac)3 and/or mn(acac)3 with nucleic bases and nucleosides (adenine, guanine, xanthine, adenosine and guanosine) have been synthesized in nonaqueous solution. polarographic and spectroscopic (ir and visible) methods have been used to establish the active site(s) on the imidazole and pyrimidine rings in the nucleic bases and nucleosides for the interaction with the mn(iii) com...