Affordances affordance structure matrix

Maier, J. R., Ezhilan, T., Fadel, G. (2003). The affordance structure matrix—a concept exploration and attention directing tool for affordance based design. Proceedings of the ASME IDETC/CIE Conference. 

TEM is still the most powerful technique to elucidate the dispersion of nano-filler in rubbery matrix. However, the conventional TEM projects three-dimensional (3D) body onto two-dimensional (2D) (x, y) plane, hence the structural information on the thickness direction (z-axis) is only obtained as an accumulated one. This lack of z-axis structure poses tricky problems in estimating 3D structure in the sample to result in more or less misleading interpretations of the structure. How to elucidate the dispersion of nano-fillers in 3D space from 2D images has not been solved until the advent of 3D-TEM technique, which combines TEM and computerized tomography technique to afford 3D structural images, incidentally called electrontomography . 

Another route to construction of the approximate 1-RDM functional involves employment of expressions for E and D afforded by some size-consistent formalism of electronic structure theory. Mazziotti [42] proposed a geminal functional theory (GET) where an antisymmetric two-particle function (geminal) serves as the fundamental parameter. The one-matrix-geminal relationship allowed him to define a D-based theory from GET [43]. He generalized Levy s constrained search to optimize the universal functionals with respect to 2-RDMs rather than wavefunctions. 

Specifically, the co-polycondensation reaction of the dihydroxy[2]catenand 50b with the terephthalic acid derivative 47 does not proceed to high molecular-weight but affords preferentially the cyclic oligo[2]catenands 52 with n= 1,2,3 as shown by matrix-assisted time-of-flight mass spectrometry (MALDI-TOFMS) [56]. Besides the high structural flexibility of the dihydroxy[2]catenand 50b, an-... 

A system with clearly defined disperse (A) and continuous (B) component phases is afforded by copolymers of styrene (A) grafted onto a polydimethyl siloxane matrix (B)101 Lack of appreciable interaction between the components was indicated by gas solubility and Tg measurements. The permeability coefficient of propane and other paraffins over a composition range vA = 0 — 0.55 followed the trend described by Eqs. (30)—(33) (with PA = 0, in view of the fact that the polystyrene phase is practically impermeable). Of particular relevance to the present discussion is the close agreement with the Bruggeman, and definite deviation from the Bottcher, equations at higher vA (cf. Fig. 11). Corresponding block copolymer membranes with vA = 0.34 also fitted into this pattern, except in one case where the structure was found to be lamellar and P was considerably lower. 

Probably no fiber since the advent of nylon has received the widespread publicity afforded boron. This space-age super-fiber captured the imagination of both the professional and the layman, opening the door to serious consideration of resin-matrix composite materials for structural applications previously the exclusive domain of metals. 

This initial observation by Inoue et al. triggered intensive research in this area. Most of the efforts were dedicated to structural variation of the catalyst and to elucidation of the catalytic mechanism. With regard to the former, the many structural variations produced mainly confirmed 1 as the optimum catalyst. Variation of the aromatic amino acids involved [25, 26], side-chain methylation and/or modification [27], N-methylation [28], etc., all afforded catalysts of lower selectivity. In contrast, incorporation of a-Me-Phe led to diketopiperazines of activity and selectivity comparable with those derived from non-methylated Phe (for example 1) [29]. Similarly, attachment to Merrifield-resin or polysiloxane polymers proved detrimental to the enantioselectivity of the Inoue-catalyst 1 [30, 31]. Upon incorporation into a silicon based sol-gel glass matrix, however, the excellent enantioselectivity of the cyclic peptide 1 is preserved, and separation of the spent catalyst can easily be achieved by, e.g., filtration, centrifugation or simply decantation [32], Unfortunately, further catalytic cycles afforded much lower ee (ca. 30-35% max.) [32],... 

To afford a basis for constructing Thomas-Fermi-like approximations to the electronic structure of atoms in intense applied fields, the canonical density matrix (or equivalently the Feynman propagator) for free electrons is first set up. This is done for both intense magnetic and intense electric fields in each case, exact results are available for arbitrary static field strengths. 

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