Sentence examples for modified integral from inspiring English sources

The modified integral equations can be calculated by directly applying standard quadrature rules over the entire integration domain.

Application of modified integral neutron kinetic model to calculate principal characteristics of pulsed coupled reactor system consisting of pulsed reactor and subcritical block is discussed.

These modified integral estimators are used to generate the VH and HH gradients at 250 km level for validation purpose of the SGG data.

In addition, the number of the online adaptive parameters is not more than the order of the considered system and the possible controller singularity problem is removed by introducing the modified integral Lyapunov functions.

In both cases, a particular non-Euclidean geometry was identified such that the correspondingly modified integral notion of surface content based upon this non-Euclidean geometry coincides with the locally defined surface measure O S. This allows a non-Euclidean interpretable extension of Cavalieri's and Torricelli's method of indivisibles, see (Richter [1985], [2009]).

It results in a slightly modified integral equation for the probability generating function of the process.

Membrane androgen receptors are membrane proteins [ 5, 12], expected to be (partially) denatured in microscopic tissue sections by formalin fixation, paraffin embedding and high temperatures, conditions known to modify integral membrane proteins.

The subtraction addition technique is applied to the singular integral equations to convert the singular integrals to either ordinary integrals with bounded integrands or modified singular integrals, including hypersingular integrals, with exact integration values.

Some of the resultant integrals are evaluated by using the Gauss Chebyshev integration rules after moving the series coefficients to the outside of the integral sign; others are evaluated exactly, including the modified hypersingular integral.

The results of the modified ignition integral analysis are presented as a function of engine speed and fuel/air preheat temperature and demonstrate the utility of the approach to design and interpret fueling strategies of fuel blends.

Int J Numer Methods Eng 1995 38 1633 1644], which consists of using four stress intensity factors, computed from the modified crack integral method, to predict the fatigue propagation life as well as the crack trajectory, which is computed as part of the numerical simulation.