We list the set of C and P conserving anomalous quartic vector bosons self-couplings which can be tested at LEP2 through triple vector boson production. We show how this set can be embedded in manifestly SU(2) × U(1) gauge invariant operators exhibiting an SU(2)c global symmetry. We derive bounds on these various couplings and show the most relevant distributions that can enhance their contribu...

A new kind of quasi-quartic trigonometric polynomial base functions with a shape parameter λ over the space Ω=span {1, sint, cost, sint2t, cos2t} is presented, and the corresponding quasi-quartic trigonometric Bézier curves and surfaces are defined by the introduced base functions. The quasi-quartic trigonometric Bézier curves inherit most of properties similar to those of quartic Bézier curves...

Conic section is one of the geometric elements most commonly used for shape expression and mechanical accessory cartography. A rational quadratic Bézier curve is just a conic section. It cannot represent an elliptic segment whose center angle is not less than . However, conics represented in rational quartic format when compared to rational quadratic format, enjoy better properties such as bein...

Let a, b, c, d be nonzero rational numbers whose product is a square, and let V be the diagonal quartic surface in P defined by ax + by + cz + dw = 0. We prove that if V contains a rational point that does not lie on any of the 48 lines on V or on any of the coordinate planes, then the set of rational points on V is dense in both the Zariski topology and the real analytic

We consider the one-loop B2h3 and B4h amplitudes in type II string theory, where B is the NS ⊗NS two-form and h the graviton, and expand to lowest order in α′. After subtracting diagrams due to quartic terms in the effective action, we determine the presence and structure of both an H2R3 and H2(∇H)2R term. We show that both terms are multiplied by the usual (t8t8 ± 18ǫ10ǫ10) factor.

We construct the supersymmetric completion of quartic R+R 4-actions in the ten-dimensional effective action of the heterotic string. Two invariants, of which the bosonic parts are known from one-loop string amplitude calculations, are obtained. One of these invariants can be generalized to an R+F 2 +F 4-invariant for supersymmetric Yang-Mills theory coupled to supergravity. Supersymmetry requir...

In signal processing, four functions of one variable are commonly used. They are the signal in time, the spectrum, the auto-correlation function of the signal, and the auto-correlation function of the spectrum. The variables of these functions are denoted, respectively, as time, frequency, lag, and doppler. In time-frequency analysis, these functions of one variable are extended to quadratic fu...

B-spline scaling functions and wavelets have found wide applicability in many scientific and practical problems thanks to their unique properties. They show considerably better results in comparison to other wavelets, and they are used as well in mathematical approximations, signal processing, image compression, etc. But only the first four wavelets from this family were mathematically formulat...

Many papers describe techniques for evaluating spline curves and surfaces. While each paper provides some theoretical or empirical evidence with which to compare techniques, there exist few global comparisons Peters94]. Also, papers describing particular algorithms often provide few details, making implementation of the technique presented diicult or impossible. This report attempts to illumina...