Non-Interactive Zero Knowledge (NIZK), introduced by Blum, Feldman, and Micali in 1988, is a fundamental cryptographic primitive which has attracted considerable attention in the last decade and has been used throughout modern cryptography in several essential ways. For example, NIZK plays a central role in building provably secure public-key cryptosystems based on general complexity-theoretic ...

this paper deals with the single machine multi-product lot scheduling problem in which defective items are produced in any production run of each product. we have adopted the common cycle scheduling policy and assumed that the setup times for production of each product can be non-zero. further, we have assumed that defective items will be reworked and the inspection costs during the normal prod...

In [13] Adler and van Moerbeke described a reduction of 2D-Toda hierarchy called Toeplitz lattice. This hierarchy turns out to be equivalent to the one originally described by Ablowitz and Ladik [1] using semidiscrete zero-curvature equations. In this paper we obtain the original semidiscrete zero-curvature equations starting directly from the Toeplitz lattice and we generalize these computatio...

Linear programming problems with alternate solutions are challenging due to the choice of multiple strategiesresulting in the same optimal value of the objective function. However, searching for these solutions is atedious task, especially when using mixed integer linear programming (MILP), as previously applied tometabolic models. Therefore, judgment on plurality of optimal m...

We present simulation results of the (2 + 1)d four-fermion model with a baryon chemical potential µ. We examine temporal correlation functions of the vector me-son, and find evidence of phonon-like behavior characterised by a linear dispersion relation in the long wavelength limit. We also discuss the consistency of our numerical results with analytical solutions to the Boltzmann equation corre...

We present recent results on thermodynamics of QCD with almost physical light quark masses and a physical strange quark mass value. These calculations have been performed with an improved staggerd action especially designed for finite temperature lattice QCD. In detail we present a calculation of the transition temperature, using a combined chiral and continuum extrapolation. Furthermore we pre...

Mine water geothermal energy could provide sustainable heating, cooling and storage to assist in the decarbonisation of heat achieving Net Zero carbon emissions. However, mined environments are highly complex we currently lack understanding confidently enable a widespread, cost-effective deployment technology. Extensive repeated use subsurface as thermal source/store optimisation operational in...

The goal of the present study is to characterize solutions under a travelling wave formulation degenerate Fisher-KPP problem. With problem, we refer following: heterogeneous diffusion that formulated with high order operator; non-linear advection and non-Lipstchitz spatially reaction. paper examines existence solutions, uniqueness oscillatory properties (also called instabilities). Such behavio...