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Direct Addition of Glycine Derivatives to Enamines
Chemistry Letters, 2005Abstract Direct addition of glycine derivatives to enamines proceeded smoothly in the presence of a catalytic amount of a Lewis acid to afford the corresponding α,β-diamino acid derivatives in excellent yields. In this reaction, enamines would initially act as a base and subsequently as a C=N electrophile.
Jun Kobayashi +2 more
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On the direct derivation of the resistivity
Journal of Physics C: Solid State Physics, 1973A linear response expression for the isothermal local resistivity is derived with the many-variable projection technique of Mori (1965). The isothermal local resistivity is given by a force-force response function, and it is inverse to the isothermal local electric conductivity.
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Direct computation of derivatives of eigenvalues and eigenvectors
International Journal of Computer Mathematics, 1990A gap is closed in a previously published proof of a result concerning direct computation of derivatives of eigenvalues and eigenvectors of parameter-dependent matrices. The result is strengthened and the problem discussed.
Alan L. Andrew +2 more
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Directional derivates in minimax problems(∗)
Numerical Functional Analysis and Optimization, 1985Etude de l'existence et d'une caracterisation de la derivee directionnelle h'(x 0 ; d) de la fonction h(x)=Inf Sup L (x,u,v)/u∈U 0 v∈√ 0 definie sur un espace lineaire topologique de Hausdorff. La fonction L(x,o,o) definie sur le produit de deux espaces de Hausdorff U et V verifie la propriete de point selle Inf Sup L(x,u,v)/u∈U 0 v∈√ 0 =Sup Inf L(x,
Correa, Rafael, Seeger, Alberto
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The structure-directed synthesis of cyclacene and polyacene derivatives
Pure and Applied Chemistry, 1993Abstract
GIRRESER U +5 more
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1967
In this chapter we shall be concerned with a function F(x, y) of two variables x and y. x is supposed to be a point of Euclidean space R n , x = (x1, ..., x n ), and y a point of some compact topological space y. While all the considerations of this chapter are carried out for a general y, the applications made in this book have y a closed bounded set ...
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In this chapter we shall be concerned with a function F(x, y) of two variables x and y. x is supposed to be a point of Euclidean space R n , x = (x1, ..., x n ), and y a point of some compact topological space y. While all the considerations of this chapter are carried out for a general y, the applications made in this book have y a closed bounded set ...
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Direct methylation and trifluoroethylation of imidazole and pyridine derivatives
Chemical Communications, 2003AbstractFor Abstract see ChemInform Abstract in Full Text.
Jie, Zhang +2 more
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Directional derivatives of the maximum function
Cybernetics and Systems Analysis, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borisenko, O. F., Minchenko, L. I.
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Directional Patterns and Their Derivation
1996With the exception of the gradient microphone, with its figure-8 pattern, the basic microphone designs discussed in the previous chapter were all essentially omnidirectional in their pickup pattern. Recording engineers have always desired a variety of pickup patterns in order to solve specific problems in the studio, and the 1930s saw considerable ...
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A note on computing the derivative at a constant direction
Physics in Medicine and Biology, 2011The derivative at constant direction is frequently used in inversion of cone-beam data. Several algorithms for computing the derivative have been proposed in the literature. The best algorithm to date has been proposed recently by Noo et al (2007 Phys. Med. Biol. 52 5393-414).
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