We study a three-dimensional symmetric Chern-Simons field theory with a general covariance and it turns out that the original Chern-Simons theory is just a gauge fixed action of the symmetric Chern-Simons theory whose constraint algebra belongs to fully first class constraint system. The Abelian Chern-Simons theory with matter coupling is studied for the construction of anyon operators without ...

Lagrange multipliers are central to analytical and computational studies in linear and nonlinear optimization and have applications in a wide variety of fields, including communication, networking, economics, and manufacturing. In the past, the main research in Lagrange multiplier theory has focused on developing general and easily verifiable conditions on the constraint set, called constraint ...

Motivated by considerations in quantum mechanics, we introduce the class of robust constraint satisfaction problems in which the question is whether every partial assignment of a certain length can be extended to a solution, provided the partial assignment does not violate any of the constraints of the given instance. We explore the complexity of specific robust colorability and robust satisfia...

‎in this paper, using the idea of convexificators, we study boundedness and nonemptiness of lagrange multipliers satisfying the first order necessary conditions. we consider a class of nons- mooth fractional programming problems with equality, inequality constraints and an arbitrary set constraint. within this context, define generalized mangasarian-fromovitz constraint qualification and show t...

Working directly with a general Hamiltonian for the spacetime metric $3+1$ decomposition and keeping only spatial covariance, we investigate possibility of reducing number degrees freedom by introducing an auxiliary constraint. The constraint is considered as part definition theory. Through analysis, find conditions well constraint, under which theory propagates two tensorial only. class theori...

To explore the constraint range of geographic video space, is the key points and difficulties to video GIS research. Reflecting by spatial constraints in the geographic range, sports entity and its space environment between complicated constraint and relationship of video play a significant role in semantic understanding. However, how to position this precision to meet the characteristic behavi...