We use the optimized perturbation theory, or linear δ expansion, to evaluate the critical exponents in the critical 3d …

We present a perturbation theory by extending a prescription due to Feynman for computing the probability density …

of H due to Andrei et al., whereas χi(T) by applying second-order perturbation theory for the free energy. …

In this paper, we develop methods of the determination of the rank of random matrix. Using the matrix perturbation … theory to construct or find a suitable bases of the kernel (null space) of the matrix and to determine the limiting …-N-consistent estimator is available and construct a Wald- type test statistic (generalized Wald test). The test, based on matrix perturbation …

statistic is based on the smallest estimated singular values. Using Matrix Perturbation Theory, the smallest singular values of …

gravity, is explored algebraically. A subset of the springs is treated as weak in relation to the others and perturbation … theory is used to obtain the zero order and first order expressions for the equilibrium positions of the particles. The zero …

–d exchange Hamiltonian HK resulting from second-order perturbation theory prove to be ordered in the same manner as those of hr …

-sphere fluid is used in combination with Barker–Henderson perturbation theory to obtain the thermodynamic properties of triangular …