We construct an invariant of closed ${\rm spin}^c$ 4-manifolds using families Seiberg-Witten equations. This is formulated as a cohomology class on certain abstract simplicial complex consisting embedded surfaces 4-manifold. also give examples which admit positive scalar curvature metrics and for this does not vanish. non-vanishing result our provides new adjunction-type genus constraints confi...

Sherlock and Monro [7] developed a parameterization for orthonormal filter bank, that was extended to two vanishing moments by [5]. In this paper we extend this formulation to three vanishing moments and we also present an illustrative example which is an extension of an example of [5] .

Complete row and column symmetry breaking in constraint models using the lex leader method is generally prohibitively costly. Double lex, which is derived from lex leader, is commonly used in practice as an incomplete symmetrybreaking method for row and column symmetries. Double lex is based on a rowwise canonical variable ordering. However, this choice is arbitrary. We investigate other canoni...

Based on an equivparticle model, we investigate the in-medium quark condensate in neutron stars. Carrying out a Taylor expansion of nuclear binding energy to order $\rho^3$, obtain series EOSs for star matter, which are confronted with latest and astrophysical constraints. The is then extracted from constrained properties decreases non-linearly density. However, chiral symmetry only partially r...

‎let $g$ be a finite group‎. ‎an element $gin g$ is called non-vanishing‎, ‎if for‎ ‎every irreducible complex character $chi$ of $g$‎, ‎$chi(g)neq 0$‎. ‎the bi-cayley graph $bcay(g,t)$ of $g$ with respect to a subset $tsubseteq g$‎, ‎is an undirected graph with‎ ‎vertex set $gtimes{1,2}$ and edge set ${{(x,1),(tx,2)}mid xin g‎, ‎ tin t}$‎. ‎let $nv(g)$ be the set‎ ‎of all non-vanishing element...

We consider a class of optimization problems with switch-off/switch-on constraints, which is a relatively new problem model. The specificity of this model is that it contains constraints that are being imposed (switched on) at some points of the feasible region, while being disregarded (switched off) at other points. This seems to be a potentially useful modeling paradigm, that has been shown t...

Mathematical programs with equilibrium or vanishing constraints (MPECs or MPVCs) are both known to be difficult optimization problems which typically violate all standard constraint qualifications. A number of methods try to exploit the particular structure of MPECs and MPVCs in order to overcome these difficulties. In a recent paper by Ulbrich and Veelken [37], this was done for MPECs by a loc...

Models of inflationary cosmology based on spontaneous symmetry breaking typically suffer from the shortcoming that the symmetry breaking scale is driven to nearly the Planck scale by observational constraints. In this paper we investigate inflationary potentials in a general context, and show that this difficulty is characteristic only of potentials V (φ) dominated near their maxima by terms of...