21. From Dr. William Bishop to the Bishop of London.

The Mergelyan-Bishop Theorem

We define the differential operator ∂ ∂z on infinitely differentiable functions (also called smooth or C∞ functions) on some open set in C by ∂ ∂z = 1 2 ( ∂ ∂x + i ∂ ∂y ). A quick calculation shows that ∂ ∂z obeys the product rule. Recall that a function f is holomorphic if and only if ∂ ∂z (f) = 0. A function is biholomorphic, or an analytic isomorphism, if it is holomorphic and has holomorphi...

A Bishop surface with a vanishing Bishop invariant

We derive a complete set of invariants for a formal Bishop surface near a point of complex tangent with a vanishing Bishop invariant under the action of formal transformations. We prove that the modular space of Bishop surfaces with a vanishing Bishop invariant and with a fixed Moser invariant s < ∞ is of infinite dimension. We also prove that the equivalence class of the germ of a generic real...

Simulation of the Bishop Steam Foam Pilot

This paper was selected for presentation by an SPE Program Committee following reviewof Information contained In an abatrwt submitted by the authorfa). Contmrta of the pap aa presented, have nnt bwn reviewed by the society of Petroleum Enginwra and are subject to correction by the author(s). The material, es prewnted, does not newawrlty roft any position of the Society of Petroleum Engbrwrs, It...

Paleointensity estimates from ignimbrites: An evaluation of the Bishop Tuff

Alternatives to Bishop Score to Predict Successful Induction of Labour

The ultimate goal of antenatal and intranatal care is to have not only a healthy mother and a healthy baby, but also to achieve a successful vaginal delivery, keeping in mind the rising rates of caesarean deliveries. induced for various maternal and fetal indications. It has been stated that nearly about 13 patients requires induction of labour ultrasound examin assessing cervical findings for ...