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For reactions involving highly polar, poorly volatile solvents like ethylene glycol, DMSO, DMF, and HMPA, getting rid of the solvent can be quite a challenge. It may be possible to remove some of them by evaporation before solvent partitioning, though high vacuum (and even warming) may be required, and not all products can tolerate this treatment. One good strategy is to partition the reaction mixture between an aqueous solution and a hydrocarbon solvent such that the polar reaction solvent prefers the aqueous phase. However, this ploy only works when the desired reaction product partitions predominantly into the hydrocarbon. This strategy can also be applied to reactions in acetic acid, an approach far superior to using large quantities of hydroxide (or bicarbonate, with voluminous CO2 evolution!) to extract the acetic acid. Of course, a base wash should still be used to ensure that all of the acetic acid has been removed from the organic phase. Washing polar/acidic reagents away as an initial step in the workup is a pro table strategy. The condensation of lactic acid with acetone to give a dioxolanone is promoted by stoichiometric boron tri uoride etherate (eq. 29). If this reaction were simply quenched with water, large quantities of uoboric and hydro uoric acids would be generated that would require large quantities of base to neutralize. Instead, the reaction mixture is diluted with ether and washed with aqueous sodium acetate. Some of the acid simply partitions to the aqueous phase, and some reacts with the acetate to form acetic acid, which partitions to the aqueous phase. The quantity and strength of the acid that must be washed out of the organic phase with base is thereby much reduced.

where the following typical values have been used: = 0 5 p = 1 6 ps; c = 8 ps; R2 = 0 35 co = 0 02. It can be concluded that the SNR for the self-mixing configuration is indeed worse than that of conventional interferometry, but most of the SNR penalty is due to the poor collection efficiency of the monitor photodiode. This is the only price one has to pay for the great reduction in complexity offered by the self-mixing approach with respect to conventional sensing schemes.

Assigning the input focus to an element in regular Web pages is easy. Just call the focus method of the element that you want to receive the focus. However, this won t work in the preceding example. The focus() method can switch focus to the element only once it is visible onscreen. This is why the script calls the focus method in the BODY tag onload property. This still isn t enough. Even though the document is loaded when onload is executed, it takes some extra time for the elements to be fully programmable. This is why the script doesn t call the focusit procedure directly. Instead, it uses the timer built into the window object and calls it with a 100-millisecond delay. Note also that the focusit procedure needs to be defined in the HEAD section. It needs to be defined before the WebBrowser control parses the BODY tag. If you want another element to receive the focus, just change the element name in the focusit procedure.

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Here, j = 0 for L < x < 0, j = 1 for 0 < x < l and j = 2 for x > l, B2 = 0 and we apply the usual connection rules at the interfaces x = 0 and x = l, that is, continuity of the field and its derivative at x = 0 and finally, at x = L: A0 e ik0 L = r B0 eik0 L (3.12)

207.77.91.38 - - [06/Mar/2001:09:25:28 -0600] "GET products/ tools/wrenches/left-handed/crescent5.html HTTP/1.1" 200 132

If you find that all your r sum information fits easily onto one page with plenty of room to spare, then you re probably not saying enough. This is common with students and recent graduates or others with limited work experience, as well as with those whose job responsibilities were not very complex or high level. Although brevity is nice because it means your r sum can be read quickly, don t be too brief. Make sure that you have fully fleshed out job descriptions and asset statements. Also be sure to include all r sum sections relevant to the types of jobs you re seeking. These are described in R sum writing section by section later in this chapter.

0.5 2 3 6 12 21 32

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The idea of numerical continuation is to find an object of interest and then follow it in suitable parameters The big advantage is that this object can be followed irrespective of its stability This means that information can be obtained also about objects that are not attracting, which is a big advantage over numerical simulation Mathematically, continuation is set up in such a way that there are L 1 equations for L unknown variables, so that the solution space is geometrically a one-dimensional curve in L Once a first point on this solution curve is found, it is possible to follow or continue it in the parameters This is usually done with the method called pseudo-arclength continuation, which involves a prediction step in the direction tangent to the curve and a Newton correction step in the space perpendicular to this tangent.

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be protonated upon spotting onto the TLC plate (eq. 28) and will migrate as the conjugate acids. In some cases, where reaction components interfere with TLC analysis, following a reaction may involve removing small aliquots and subjecting them to mini workups to obtain a solution that can be analyzed.