Chemistry of crown ethers. Synthesis of new crown ethers containing a pyridazine ring

A method for preparation of crown ethers containing a pyridazine ring based on 1,2-dihydro-3,6-dioxopyridazine was developed.     

Cutting the Same Fraction of Several Measures

We study some measure partition problems: Cut the same positive fraction of d+1 measures in ? ^d with a hyperplane or find a convex subset of ? ^d on which d+1 given measures have the same prescribed value. For both problems positive answers are given under some additional assumptions.     

Synthesis and some transformations of <Emphasis Type="Italic">N</Emphasis>,2,2-trimethyltetrahydro-2<Emphasis Type="Italic">H</Emphasis>-pyran-4-amine

Reaction of 2,2-dimethyltetrahydro-2H-pyran-4-one with aqueous methanamine, followed by reduction of the Schiff base thus obtained with sodium tetrahydridoborate gave N,2,2-trimethyltetrahydro-2H-pyran-4-amine which was subjected to cyanoethylation with acrylonitrile. The resulting 3-(2,2-dimethyltetrahydro-2H-pyran-4-ylmethylamino)propanenitrile was reduced with lithium tetrahydridoaluminate to N-(2,2-dimethyltetrahydro-2H-pyran-4-yl)-N-methylpropane-1,3-diamine, and some chemical transformations of the latter were studied.     

Bell-type inequalities in classical probability theory

A review of the tomographic probability representation for qudit sates is presented. Properties of related stochastic matrices are considered. Tomograms of two qubits and three qubits are used to study the Bell-type inequalities. The Bell-type inequalities in the standard classical probability theory are discussed. Joint probability distributions of classical systems with several random variables and their properties in the case of factorized distribution functions are considered.     

Ammonium salts in alkylation reactions. 34. Synthesis and intramolecular cyclization of unsaturated esters with a furfuryl group

Unsaturated esters of furfuryl alcohol were synthesized by interphase catalysis. The intramolecular thermal cyclization of the synthesized compound was studied.See[1] for Communication 33.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 4, pp. 457–495, April, 1990.