Sentence examples for an elementary solution from inspiring English sources

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The resulting uncoupled systems of ordinary differential equations are solved using an elementary solution technique.

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Going forward, Crawford suggested an even more elementary solution: back up property records on computers or put them on a cloud, instead of on paper.

After deriving the elementary solution for an edge dislocation near the interface, the strong interaction problem of multiple subinterface microcracks is reduced to a system of singular integral equations by using the superimposition method.

One then takes a Fourier integral of the elementary solution over the wavenumber ν.

As a consequence, elementary solutions of the problem can be searched in the form u ( r, ϑ ) = U ( b [ r − R − ] − a [ r − R + ] R + − R − = P ( r ) Θ.

Thus, for z < 0 km, the geoelectric field elementary solution including the incident (e−νz ) and reflected (Re νz ) parts with an arbitrary constant C is given by E_{y} left( {x,z nu,omega } right) = Cleft[ {{text{e}}^{ - nu z} - Rleft( {nu,omega } right){text{e}}^{nu z} } right]cos nu x. (5).

For the sake of completeness, besides the solution above, we will provide another elementary solution in regard to the inequalities (3.7).

He was responding to a straightforward question: In a world so addicted to fossil fuels, and yet so threatened by the planet-warming carbon dioxide they produce, why has one seemingly elegant and elementary solution -- blocking that CO2 from entering the atmosphere in the first place -- proved so elusive?

x = z 1 dom z 2 dom … dom z m-1 dom z m = y An elementary dynamic solution is a set S ⊆ X that satisfies the following conditions: 1. x ∈ S, y ∈ X S ⟹ y is not accessible from x (elements not in S are not accessible from elements of S).   2.

Within each cell, the velocity potential is represented by the linear superposition of a complete set of harmonic polynomials, which are the elementary solutions of Laplace equation.

The second phase formulates a variant of traveling salesman problem (TSP) using the elementary solutions prepared in the first phase and determines the final rendezvous sequence and trajectories of the multi-target rendezvous problem.

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