Divergent transformation

SCHEME 10.9 Various heparin and HS oligomers prepared by the laboratories of (a) Hung, (b) Boons, and (c) Tyler by postassembly divergent transformation. 

This term is used in the literature to refer to truncation errors for any function that is not zero at the final point used in numerical integration here we take it to mean the errors for a function which has a non-zero limit as t o and a divergent transform as w- 0, the function Q(t) for example. 

The two samples have such divergent mechanical properties because they have radically different structures the structure of the as-received steel is shaped by a diffusive transformation, but the structure of the quenched steel is shaped by a displacive change. But what are displacive changes And why do they take place ... 

Incomplete radial jets are supplied through outlets with grills having diverging vanes, and have a coerced angle of expansion. At some distance this kind of jet tends to transform into a compact one. 

Angle of transformation piece The angle between the opposite faces of a converging or diverging ductwork section. 

I ransformation affects a change of area and/or the form of the cross-section. If the transformation is continuous, then an area reduction is termed convergent and an area increase is termed divergent. If the transformation is abrupt, then an area reduction is termed an abrupt contraction and an area increase is termed an abrupt enlargement. 

Once this divergence happens, further solution of the differential equation is not possible beyond this point, and we have to reformulate the problem. To clarify our idea, let us consider the ID problem. At the turning point, p q) = 0 and A diverges. If we invert A to A = dq/dp, the divergence is removed and the propagation of A proceeds smoothly through the caustics. This inversion is equivalent to the canonical transformation, (p,q) (—q,p). It can be easily... 

A divergent protocol for a solid-phase synthesis of 3-substituted 2,5-biarylfurans was reported. Thus, reaction of furan zincate A with polymer bound aryl bromide or iodide provides resin intermediates 61. Subsequent bromination-Suzuki coupling reaction followed by further transformations gives rise to structurally diverse 2,3,5-trisubstituted furans 68 in good overall yields and chemical purities <00TL5447>. 

The discussion of the defect distribution functions and potentials of average force follows along rather similar fines to that for the activity coefficient. The formal cluster expansions, Eqs. (90)-(91), individual terms of which diverge, must be transformed into another series of closed terms. This can clearly be done by... 

---