Sentence examples for by using the closed from inspiring English sources

In this study, flash points of twenty eight binary miscible mixtures comprised eighteen flammable pure components with different compositions were measured by using the closed cup apparatus.

In the study of forced motion, charts are developed, by using the closed form solution, showing optimum gaps and corresponding displacement amplitude reduction within the resonant frequency range.

We define the type I and type II errors of a test in this design and show how a prescribed type I error can be maintained by using the closed testing principle in multiple testing.

It has been found that the minimum weight, as predicted by the full four-parameter optimisation, is slightly lower than that obtained by using the closed form expressions derived on the basis of simplified three-parameter optimisation.

However, by using the closed form solution of infinite Taylor series, we can have (5) S o = S d (I + S d 2 + S d 3 + S d 4 + ⋯ ) = S d (I - S d ) - 1, where I is the identity matrix.

In this paper we will extend this to the non-equilibrium QCD by using the closed-time path integral formalism.

It is almost impossible to make an exact first principle theoretical calculation at RHIC and LHC without studying the nonequilibrium nonperturbative QCD by using the closed-time path integral formalism.

Because of these reasons one finds that in order to detect the QGP at RHIC and LHC by using the first principle calculation one needs to study the nonequilibrium nonperturbative QCD by using the closed-time path integral formalism which is not easy [4, 5, 6, 7].

In this paper we extend this formalism to non-equilibrium QCD by using the closed-time path integral formulation to prove the factorization of infrared divergences in (chi _{text{cJ}}) production from the color singlet (c{bar{c}}) pair in non-equilibrium QCD at all orders in coupling constant at RHIC and LHC.

In order to make sure that the QGP is in equilibrium at RHIC and LHC one has to prove that the same experimental data cannot be explained by using the non-equilibrium QGP for which one has to study the nonequilibrium-nonperturbative QCD by using the closed-time path integral formalism.

A Gibbs sampler scheme can be implemented by using the full conditional in closed form of RBDMs (see Appendix 1).