We give the general solution of the Ward identity for the linear vector supersymmetry which characterizes all topological models. Such solution , whose expression is quite compact and simple, greatly simplifies the study of theories displaying a supersymmetric algebraic structure, reducing to a few lines the proof of their possible finiteness. In particular, the co-homology technology usually i...

6 This relation defines q for the rest of the paper, also. 7A more detailed proof will be included in the paper referred to in footnote 2. 8 Banach, S., Th6orie des operations lin&aires, Warsaw, 1932, p. 57; "Lemme." 9 Riesz, F., "Untersuchungen uber Systeme integrierbarer Funktionen," Math. Ann., 69,449-497 (1910); p. 475. ' o See Titchmarsh, E. C., Theory of Fourier Integrals, Oxford (1937), ...

The computation of the number of arbitrary functions in the general solution is brieey reviewed. The results are used to study normal systems and their symmetry reduction. We discuss the treatment of gauge systems, especially the analysis of gauge xing conditions. As examples the Yang-Mills equations with the Lorentz gauge and Einstein's vacuum eld equations with harmonic coordinates are consid...

As one of the most popular information safeguarding mechanisms, access control is widely deployed in information systems. However, access control approach suffers from a tough problem, i.e. system administrators must be unconditionally trusted. Cryptographic substitutes have been developed to solve the above problem. In particular, hierarchical encryption, as an alternate solution of access con...

Our High-Dynamic-Range (HDR) world is the result of nonuniform illumination. We like to believe that 21st century technology makes it possible to accurately reproduce any scene. On further study, we find that scene rendition remains a best compromise. Despite all the remarkable accomplishments in digital imaging, we cannot capture and reproduce the light in the world exactly. With still further...

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for ||y || ^ ôo as x tends to infinity in the region Im(x) ^ R0. The coefficients fk(y) are assumed to be holomorphic for ||y|| ;£ 50. Let X, be the eigenvalues of the matrix foy(0). We shall make the following assumptions: (i) /o(0) = 0, (ii)l< |xx|< |x2|< ... < |x„|, (iü)n?=ii^ip,^i^i for j = 1,2, • • -, re and ^UiPi ^ 2, where p, are nonnegative integers. If /o(0) = 0 and X¡ ?¿ 1, we can det...