In this paper, a new class of bi-cooperative games with fuzzy bi-coalitions is proposed in multilinear extension form. The extension is shown to be unique. The solution concept discussed in [3] is investigated and characterized for this class of games.

For the problem of adjudicating conflicting claims, we study lower bounds on the awards of each agent. We propose extending a lower bound by performing the following operation: (i) for each problem, assign the lower bound and revise the problem accordingly; (ii) assign the bound of the revised problem. The “recursive-extension” of a bound is the lower bound obtained by recursive application of ...

We examine situations, where representations of a finite-dimensional F algebra A defined over a separable extension field K/F , have a unique minimal field of definition. Here the base field F is assumed to be a C1-field. In particular, F could be a finite field or k(t) or k((t)), where k is algebraically closed. We show that a unique minimal field of definition exists if (a) K/F is an algebrai...

The Bcl-2 family of proteins plays a central regulatory role in apoptosis. We have identified a novel, widely expressed Bcl-2 member which we have named Bcl-rambo. Bcl-rambo shows overall structural homology to the anti-apoptotic Bcl-2 members containing conserved Bcl-2 homology (BH) motifs 1, 2, 3, and 4. Unlike Bcl-2, however, the C-terminal membrane anchor region is preceded by a unique 250 ...

In the Post Correspondence Problem (PCP) an instance (h, g) consists of two morphisms h and g, and the problem is to determine whether or not there exists a nonempty word w such that h(w) = g(w). Here we prove that the PCP is decidable for instances with unique blocks using the decidability of the marked PCP. Also, we show that it is decidable whether an instance satisfying the uniqueness condi...

We show that the triangular extension of a generalized quadrangle of order (3,3) is unique. The proof depends upon certain computer calculations.

It is known that there is a only one invariant metric, and only one family of invariant affine connections on the the space of probability measures on finite sample spaces. Under certain conditions this may also true for finite measures on finite sample spaces. We extends these results to finite measures on arbitrary sample spaces. It is shown that the generalization of these structures are uni...

A 27-bp synthetic DNA cassette was constructed which contains the restriction sites of the two rare-cutter enzymes NotI and SfiI and, in an overlapping arrangement, those of five enzymes with 6-bp recognition sequences: ApaI, BalI, NdeI, SacII, XmaIII. The protruding termini of the fragment allow its insertion into any EcoRI-cut DNA creating a new EcoRI site at one side of the cassette only. Th...

A unique parameterization of the QCD equation of state below and above T c We present a unique parameterization of the equation of state of strongly interacting matter in the temperature interval 0.6T c · · · 3T c at µ = 0 within a quasi-particle model based on quark and gluon degrees of freedom. The extension to non-vanishing baryon-chemical potential is discussed.