Sentence examples for formulated by introducing from inspiring English sources

This can be formulated by introducing a time degree of freedom.

The relaxation system used by the proposed solver is formulated by introducing auxiliary variables that replace the momenta in the spatial gradients of the original model systems.

However, this problem is overcome by estimating the negative binomial regression (NBR) model, in which a cross-section heterogeneity is naturally formulated by introducing an unobserved effect into the conditional mean (Greene 2002).

Innovative upper and lower bounds to primary instability and bifurcation loads are also formulated, by introducing linear comparison problems corresponding to bonding or free to penetrate incremental kinematical conditions at the current crack contact interface.

We formulated the IP by introducing 3-dimensional binary variables x vij for every node v and every grid point (i, j) stating whether or not node v has to be placed on grid point (i, j).

The Induced Transition Fit theory of transport catalysis, formulated by Klingenberg, has introduced the important concept that the energy barrier for conversion between states is lowered by substrate binding [34], [35].

In this paper, we formulate four rules by introducing the mechanism for survival of the fittest, which simulates the competition among the swarms.

We formulate our framework by introducing the notion of 'extreme states', which is intuitive: take, for instance, left/right extremes of yaw head pose angle, up/down extremes of pitch head angle, open/close extremes of the eyes, and so on.

The multi-field theory is formulated for structural solids by introducing a macrocell consisting of several primitive cells and, accordingly, by increasing the number of vector fields describing the response of the body to external factors.

The optimization problem in Eq. 6 can be formulated as an unconstrained optimization problem by introducing Lagrange multipliers: L p = 1 / 2 ∥ w ∥ 2 − ∑ i = 1 n α i [ y i ( w T x i + b ) − 1 ], (8).

Towards that, the identification algorithm is formulated as an integer-programming problem by introducing binary variables for each network component.