We present a formulation for the lattice fermion derivative which is both -local and explicitly chiral. Provided that the continuum and infinite volume limits are taken properly the formulation avoids spectrum doubling, and gives a satisfactory weak coupling perturbation theory for the case of Yukawa-coupled scalars. For gauge theories we find that a sum over long string paths must be introduce...

The axiomatic Wightman formulation for nonderivative conformal field theory is adopted to derive bootstrap equation the four point function. equivalence between PCT theorem and {\it weak local commutativity}, due Jost, play a very crucial role in theory. suitably desired equations CFT. We demonstrate that two functions are analytic continuation of each other.

A meshless local Petrov-Galerkin (MLPG) method is applied to solve problems of Reissner-Mindlin shells under thermal loading. Both stationary and thermal shock loads are analyzed here. Functionally graded materials with a continuous variation of properties in the shell thickness direction are considered here. A weak formulation for the set of governing equations in the Reissner-Mindlin theory i...

The nonlinear spinorfield with Heisenberg's dipole regularization is interpreted as a leptonquark system. In Section 1, a nonlinear spinorfield equation for two lepton-quark generations is derived by physical arguments and the Heisenberg dipole regularization is formulated for this model. In Section 2, corresponding dynamical equations for local fermion and local boson states are deduced by mea...

background: lidocaine is a local anesthetic and antiarrhythmic agent. there are reports on accidental and intentional cases of poisoning following injection of lidocaine while rare are the fatal cases realized after oral ingestion of lidocaine. suicidal poisoning with lidocaine pharmaceutical formulations is rare since no pharmaceutical dosage forms for oral use are available except gels and sp...

On the basis of microand mesoscale investigations, a new mathematical formulation is introduced in detail to investigate multiscale gas-transport phenomena in organic-rich-shale core samples. The formulation includes dual-porosity continua, where shale permeability is associated with inorganic matrix with relatively large irregularly shaped pores and fractures, whereas molecular phenomena (diff...