The cyclo-addition reaction of diazomethane with a,/3-unsaturated sulfones is described. Divinyl sulfone and phenyl vinyl sulfone give 1or 2-pyrazolines depending on the reaction conditions. cisand /rans-l,2-Bis(methylsulfonyl)ethene form pyrazolines, which on reaction with either triethylamine or excess of diazomethane lead to substituted pyrazoles. The addition of diazomethane to doüble bonds...

The cyclo-addition reaction of diazomethane with a,/3-unsaturated sulfones is described. Divinyl sulfone and phenyl vinyl sulfone give 1or 2-pyrazolines depending on the reaction conditions. cisand /rans-l,2-Bis(methylsulfonyl)ethene form pyrazolines, which on reaction with either triethylamine or excess of diazomethane lead to substituted pyrazoles. The addition of diazomethane to doüble bonds...

............................................................................................................ iv Chapter 1 Introduction 1.1 Motivation ......................................................................................... 1 1.2 Preliminaries, notation, terminology and definitions ........................ 4 1.3 Quasi – biclique literature review....................................

determination of volume change of unsaturated soils during loading and suction change is one of the most important difficulties in testing unsaturated specimens. it is revealed from literature review that various attempts have been made to invent an apparatus that can be used in testing on unsaturated soil specimens, simply and accurately. in this research, details of design and manufacture of ...

We present a continuum theory to demonstrate the implications of considering general tractions developed on arbitrary control volumes where surface enclosing it lacks smoothness. then tailor these recover Navier–Stokes-αβ equation and its thermodynamics. Consistent with balances postulated propose this theory, we provide an alternative approach derive natural boundary conditions.

The cyclo-addition reaction of diazomethane with a,/3-unsaturated sulfones is described. Divinyl sulfone and phenyl vinyl sulfone give 1or 2-pyrazolines depending on the reaction conditions. cisand /rans-l,2-Bis(methylsulfonyl)ethene form pyrazolines, which on reaction with either triethylamine or excess of diazomethane lead to substituted pyrazoles. The addition of diazomethane to doüble bonds...

The cyclo-addition reaction of diazomethane with a,/3-unsaturated sulfones is described. Divinyl sulfone and phenyl vinyl sulfone give 1or 2-pyrazolines depending on the reaction conditions. cisand /rans-l,2-Bis(methylsulfonyl)ethene form pyrazolines, which on reaction with either triethylamine or excess of diazomethane lead to substituted pyrazoles. The addition of diazomethane to doüble bonds...

The cyclo-addition reaction of diazomethane with a,/3-unsaturated sulfones is described. Divinyl sulfone and phenyl vinyl sulfone give 1or 2-pyrazolines depending on the reaction conditions. cisand /rans-l,2-Bis(methylsulfonyl)ethene form pyrazolines, which on reaction with either triethylamine or excess of diazomethane lead to substituted pyrazoles. The addition of diazomethane to doüble bonds...

We give three consequences of Schanuel’s Conjecture. The first is that P(e)Q(e) and P(π)Q(π) are transcendental, for any non-constant polynomials P(x),Q(x)∈Q¯[x]. second π≠αβ, algebraic numbers α β. third the case Gelfond’s conjecture (about transcendence a finite power tower) in which all elements equal.

The reaction of P-diketones 1 with phenyl hydrazine afforded 5-aryl-3-(1- methyl-5-nitro-2-imidazoly1)-1-phenylpyrazole (2) and 3-aryl-5-(1-methyl-5- nitro-2-imidazoly1) -1-phenylpyrazole (3). The reaction of diketones (1) with urea in the presence of p-toluenesulfonic acid gave 4-(or 6-)aryl-6-(or 4-)(1-methyl- 5-nitro-2-imidazolyl)-1-(lH)pyrimidones (4). The structures of all compounds w...