Sentence examples for equations set from inspiring English sources

The equilibrium equations set of cylinder segments may be integrated into the global equation of undetermined parameters by means of correlation matrix analysis and continuity conditions of adjacent shell segments.

The technique is based on expansion of longitudinal variations of W, V, U and parameters of the geomagnetic field into finite Fourier series and on solution of the obtained equations set.

Finally, the resulting nonlinear equations set is solved using the generalized Newton method with line search (GNMls), presenting some acceleration strategies as: a new and more simplified projection operator, which makes it possible to obtain a quasi-complementarity of the contact variables, reducing the number of contact problem unknowns, and using iterative solvers.

Display equations (set on their own line) can be included.

It can be known from Eq. (7) that if the ego-motion flow and the depth of six or more points in the scene are known, we can set up a set of equations with six unknown variables, i.e., six camera motion parameters and estimate these variables by solving the equations set using the least square fitting method.

The last two equations set the bounds for the production vector: it has to be positive and should be lower or equal to the mining capacity L m that is a vector of the maximum amount of ore that can be extracted from mine type m in the different regions.

We also provide the corresponding angular-moment versions of this generalized equation set.

The temporal evolution of the storage in the reservoir is calculated using numerical integration of a simple ordinary differential equation set up with this recipe.

This equation set is considerably simpler to implement into a numerical solver and reduces the required CPU time relative to the highest-order equation set.

For optimization, we introduce an objective function into the equation set.

We prove Strichartz estimates over large time scales for the Schrödinger equation set on irrational tori.