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mathematical relation is developed in this paper which is used to determine the rate at which a bubble of gas, cut in mud, migrates to the surface. The maximum time for the bubble to reach the surface can also be estimated from the equations. Application of field data to the equations confirm that the rate at which gas migrates to the surface increases with decreasing pressure and temperature.
Tetrakis(dimethylamino)ethene 1 reacts with elemental fluorine to give a salt 3, which contains anhydrous fluoride ion as indicated by the <img height="14" border="0" style="vertical-align:bottom" width="23" alt="" title="" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S002211399900010X-si1.gif"> NMR chemical shift.
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note, we give asymptotic estimates for the periodic and anti-periodic eigenvalues of Hill’s equation up to an order of o(n−1)o(n−1). We also apply the estimates to give a short proof of the associated Ambarzumyan Theorem.
Occult fractures of the femoral neck can be subtie or even undetectable on plain radiographs. Yet, untreated, the morbidity of this fracture significantly increases. This report discusses the clinical and radiologic findings seen in occult fractures of the femoral neck. It also discusses the role of tomograms, bone scan, computed tomography, and magnetic resonance imaging in further dellneating this entity.