Recipe

Luminescence IP s are fundamentally and theoretically utilizable for nondestructive testing if all of the recommended guidelines and operational recipes and appropriate systems are used. They are quite capable of producing image quality on a par with industrial radiography. 

Press and other Numerical recipes in C. Cambridge University Press, 1994... 

The above recipe can be repeated indefinitely, and the mathematical result would be what is called a self-similar profile. That is, successive magnifications of a section (in this case by factors of 3) would give magnified jagged lines which could be superimposed exactly on the original one. In this limit, one finds for this case that... 

An analogous procedure can be applied to a plane surface. The surface can be roughened by the successive application of one or another recipe, just as was done for the line in Fig. VII-6. One now has a fractal or self-similar surface, and in the limit Eq. VII-20 again applies, or... 

It was observed very early that rather minor variations in the composition of the oils could make great differences in performance and many secret recipes developed. The field is unusual in that empirical practice has been in the lead, with theory stmggling to explain. Some basic aspects are fairly well under-... 

This provides a recipe for calculating the average value of the system property associated with the quantum-mechanical operator A, for a specific but arbitrary choice of the wavefiinction T, notably those choices which are not eigenfunctions of A. 

Press W H, Flannery B P, Teukolsky S A and Vetterling W T 1988 Numericel Recipe in C (Cambridge Cambridge University Press) p 131... 

Started with a Hessian diagonal in the space of primitive internals usmg the recipe of Schlegel [39]. 

Hebard A F, Zhou O, Zhong Q, Fleming R M and Fladdon R C 1995 Cgq films on surface-treated silicon recipes for amorphous and crystalline growth Thin Soiid Fiims 257 147-53... 

In addition to testing predictions of tire patlrway model in proteins, experiments have also examined tire prediction tlrat tire decay across a hydrogen bond (from heteroatom to heteroatom) should be about as costly as tire decay across two covalent bonds. Indeed, by syntlresizing a family of hydrogen bonded aird covalently bonded systems witlr equal bond counts (according to this recipe), it was demonstrated tlrat coupling across hydrogen bonded... 

When studying molecular systems one encounters two almost insurmountable difficulties (1) That of numerically treating the non-adiabatic coupling terms that are not only spiky—a feature that is in itself a recipe for numerical... 

For example, there are also other approaches by Pacher et al. [106], Romero et al. [107], Sidis [40], and Domcke and Stock [42], which developed recipes for construction ab initio diabatic states. These methods can be efficient as long as one encounters, at nwst, one isolated conical intersection in a given region in... 

The best recipe we found so far is based on the statistical model... 

We tested our recipe on many trial densities by Monte Carlo simulation, c. g., on the normal mixture tajrget densities of Jones et al. [14]. Examples of pair potentials U r) = Wy q r)) reconstructed in this way are given in Figure 3. 

Unconstrained optimization methods [W. II. Press, et. ah, Numerical Recipes The An of Scieniific Compulime.. Cambridge University Press, 1 9H6. Chapter 101 can use values of only the objective function, or of first derivatives of the objective function. second derivatives of the objective function, etc. llyperChem uses first derivative information and, in the Block Diagonal Newton-Raphson case, second derivatives for one atom at a time. TlyperChem does not use optimizers that compute the full set of second derivatives (th e Hessian ) because it is im practical to store the Hessian for mac-romoleciiles with thousands of atoms. A future release may make explicit-Hessian meth oils available for smaller molecules but at this release only methods that store the first derivative information, or the second derivatives of a single atom, are used. 

Figures 5.4 and 5.8 Press W H, B P Flannery, S A Teukolsky and W T Vetterling, Numerical Recipes in Fortran. 1992, Cambridge University F ess.

Press, W. H. el ah, 1987. Numerical Recipes -- The Art of Scientific Computing, Cambridge University Press, Cambridge. 

The advantage of the method just described is that it can be generalized to molecules of any size. Setting up quite complicated secular mahices can be reduced to a simple recipe. A computer scheme can be used to diagonalize the resulting matrices by an iterative series of rotations. 

W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes Cambridge University Press, Cambridge (1989). 

Plus, this edition of Total Synthesis marks the first ever collaboration of the chemical underground. Throughout the book you will find recipes, secrets and discussions contributed by the worlds leading underground chemists. They have shared their knowledge so that you may get the best education available. So enjoy ... 

Drying isn t absolutely necessary, but it is a good bet that if a recipe stresses its use then an evil underground chemist will do so. 

Strike had previously written that about the best recipe for making isosafrole was from boiling safrole with concentrated KOH (Potassium Hydroxide) in ethanol. This was actually the only... 

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