Sentence examples for by solving the first from inspiring English sources

Start by solving the first six puzzles, each of which will give you a five- or six-letter answer word.

Hydrodynamic loads on each structural component are derived from the corresponding hydrodynamic coefficients obtained by solving the first order boundary value problem using WAMIT.

At the i th iteration, the SDTs, λ(i), are obtained by solving the first sub-problem.

Now to evaluate the Abelian integral in (2.2), first we note that the limits of the double integrals can be found by solving the first integral (2.3) for y, that is, and then for by solving when, which yields with.

For each tip-sample separation (D or TSS) value, the WLC model was used to compute the corresponding value of Lc that was obtained by solving the third order polynomial: 4λ3 + ωλ2 −1 = 0, where λ = 1 − D/Lc and ω = 4 F D,Lc)/α − 3 and α = kbT/Lp.

Household's demand for food C f can be derived by solving the first-order conditions of the RHS of Eq. 10.

In order to obtain the solution of (3.1), by solving the first-order partial differential with respect to t and applying the initial condition, the formal solution in the form of fractional exponential operator gives rise to u ( x, t ) = e t 1 + x 2 ( ( 1 + x 2 ) ∂ ∂ x ) γ f ( x ).

The analytical vibration solutions for lattice model or FDM can be obtained by solving the linear second-order finite difference equation derived herein.

Based on the Snell's law and the energy conservation law, the front and back freeform surfaces of the initial lens are calculated numerically by solving the corresponding first-order partial differential equations.

The occupancies for the different states of the model were obtained by solving the corresponding first-order ordinary differential equations with a Q-matrix approach.

The large-amplitude dynamic problem is addressed by solving the corresponding static problem first, and subsequently with the resultant displacement field, the problem is formulated.