N opening

Here we have collected the N independent g that correspond to different incoming states for N open chaimels into a matrix g (where the sans serifhoM notation is again used to denote a square matrix). Also we have the matrices... 

Martin-. (Zron) Martin, open-hearth, -fluss-eisen, n. open-hearth iron, -fluss-stahl, m. open-hearth steel, -ofen, m. Martin furnace, open-hearth furnace, -ofenschlacke,/. open-hearth slag, -roheisen, n. open-hearth pig (iron). -Stahl, m. Martin steel (open-hearth steel). -stahlofeQ, m. open-hearth steel furnace. -verfahren, n. (Siemens-)Martin process, open-hearth process. 

The tris(diethylainino)sulfoiiium difluorotrimethylsiliconate induced aldol addition of enolsi-lancs, which delivers predominantly syw-aldols independent of the cnolate geometry (sec p 1608), calls for another mechanistic model. A.n open transition state model has been proposed which assumes that the naked" ionic oxygens are as far apart as possible28. For (Z)-enolates, one transition state is favored over the diastereomeric orientation due to the avoidance of a repulsive R /CHj interaction. 

If at the energy E there are n open channels, one may define n linearly independent trial fnnctions b ) = l nfi)) of the form... 

Fig. 2.39. Na /K+ atomic ratios of well discharges plotted at measured downhole temperatures. Curve A is the least squares fit of the data points above 80°C. Curve B is another emperical curve (from Truesdell, 1976). Curves C and D show the approximate locations of the low albite-microcline and high albite-sanidine lines derived from thermodynamic data (from Fournier, 1981). Small solid subaerial geothermal water Solid square Okinawa Jade Open square South Mariana Through Solid circle East Pacific Rise 11°N Open circle Mid Atlantic Ridge, TAG.

Figure 8.19 Two-diaenslonal separation of the components of a coal derived gasoline fraction using live switching. Column A was 121 n open tubular column coated with poly(ethelene glycol) and column B a 64 m poly(dimethylsiloxane) thick film column. Both columns were temperature programmed independently taking advantage of the two oven configuration. Peak identification 1 acetone, 2 2-butanone, 3 > benzene, 4 isopropylmethylketone, 5 isoprop-anol, 6 ethanol, 7 toluene, 8 => propionitrile, 9 acetonitrile, 10 isobutanol, 11 — 1-propanol, and 12 = 1-butanol. (Reproduced with permission from Siemens AG).

With valve N open the displacer moves to the left the gas from Vj flows through the regenerator, cooling it down and then flows into the volume V and into the low pressure reservoir. This completes the cycle. 

Fig. 6 Charge-transfer interaction energies between attacking H20 and CH3N2+ versus C-N. Open circle is for trajectory (a), and filled triangle for trajectory (b).

Figure 12. Left panel, Variation of TB with the number of layers N. Open circles Ai203 =3 nm, solid triangle, ai203 = 10 rnn. Right panel, Tf s and activation energies (x) as a function of the average number of nearest neighbors in adjacent layers.

If T, were an exact solution of the Schrodinger equation, and total energy E is above the thresholds for n open channels, there would be n linearly independent solutions of the equations... 

Fig. 49. The structure of [Cui2(tapp)8] (236). (Shading Cu, hatched N, open O, striped C, lines.)...

Fig. 4. Local structural rearrangements on cleavage of the influenza HAq precursor protein. HAq (Chen et al, 1998) was superposed on the HA1-HA2 structure (Wilson et al, 1981). The HAq loop that contains tlie cleavage site is marked by small black circles. After cleavage, the HAj amino terminus (HA2-N open circle) and the HAj carboxy terminus HAi (HAi-C open circle) are displaced. The HA2 amino-terminal region is indicated by a thick black line, and the carboxy-terminal region of HAj by a fine dashed line. The thick dashed line represents a salt bridge between the amino terminus of HA2 and an aspartate side chain, shovm in ball-and-stick representation, from the long helix of HA2. The distance between the HAi carboxy terminus and HA2 amino terminus is indicated.

MQBMAI l V CLOSED IN EA. DIR. OF TRAVEL AOJ. TOROUE SWt n OPENED ENoQ CL.OSED END ENCLOSURE H EXPLOSION PROOF... 

Figure 23 A]E(N) (closed circles) and A2E(N) (open circles) for clusters of (a) Na, (b) K, (c) Rb, and (d) Cs. Reproduced with permission of the American Institute of Physics from 89...

Whittle, C.W. Castle, R.N. Open-Chain Analogs of LSD II. Synthesis of Some 2-(3-IndolyIethyI)- and 2-(3-Methyl-2-indolyl-ethyI)piperidines Journal of Phamraceutical Sciences (1963) 52 645-648... 

Fig. 2 Calibration curves for integrated biosensor systems FIA n open circle). III (closed diamond), IV-1 (closed inverted triangle) and SIA-I (closed upright triangle)...

Clearly AZ, - °o implies Loute, = in which limit the result is exact and not dependent on L inner. However, in practice a better choice of L inner will improve the convergence of the formula given by Eq. (47). A deeper insight into the method can be gained when Linncr is taken as the full range of the potential. For this consider the exact expression for the solution subspace projector for an N open-channel system ... 

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