Sentence examples for by an approximate method from inspiring English sources

Model estimates and their 95% confidence intervals were obtained by using the glmmPQL function 20 of the R free software, which fits generalised linear mixed models by an approximate method for facilitating inference.

In general, a (2 n ∙ k) × (2 n ∙ k) STM is required for an accurate CSPBN analysis [ 23] while a 2 n  × 2 n STM is needed by an approximate method [ 20].

For the special case of Reactions, STEPS is able to examine the form of the Reaction Kinetic Law maths and separate them into two categories: those that can be represented as an ordinary reaction in STEPS, and those that must be solved by an approximate method because the Kinetic Law maths differs from a fundamental reaction (many models contain at least one of these types of reaction).

As presented by Egyptian code for design and construction of concrete structures ECCS 203-2007, the analysis of this problem can be performed by using the elastic analysis or by using an approximate method which depends on the distribution of the concentrated load in the two directions by the ratio of the long length and short length of the rectangular slab.

In order to control the amplitude of a limit cycle of a coupled van der Pol system, feedback controllers are designed; the control equations of weakly nonlinear systems are obtained by using an approximate method and the relationship between the amplitude of the limit cycle and the control parameter is acquired.

The numerical results are compared with those obtainable by means of an approximate method employed in industrial design.

Cauchy integral equation is a kind of singular integral equation that introduced in [8, 9], such that for solving this problem, an approximate method by polynomials and collocation points is given by [5].

The methods compared in addition to YN and MYN were LPB, an approximate method developed by Li (1993) and by Pamilo and Bianchi (1993) independently, and GY, a maximum likelihood method proposed by Goldman and Yang (1994).

As explained in [ 61], an exact permutation test of βTinnitus = βControl (= β0) is not available, and we follow their recommendation to use an approximate method developed by Freedman and Lane [ 62].

The resulting nonlinear algebraic system is solved by an approximate Newton method.

The momentum equations are solved by an approximate factorization method, and a novel ZEBRA scheme with four-color ordering is devised for the efficient solution of the Poisson equation.