Sentence examples for straightforward expansion from inspiring English sources

With a market capitalisation of more than $37 billion, it is the world's third-biggest internet firm.Given the protectionism it has benefited from in China, Tencent may suspect that straightforward expansion into a place like Russia may not be feasible.

Wave motion, 43, 356 369] based on a straightforward expansion for two-dimensional progressive waves.

We demonstrate that large scale high quality graphene synthesis can be performed using atmospheric pressure chemical vapor deposition (CVD) on Cu and illustrate how this procedure eliminates major difficulties associated with the low pressure CVD approach while allowing straightforward expansion of this technology to the roll-to-roll industrial scale graphene production.

We perform a straightforward expansion of the boundary and initial conditions (eqs 29 and 32), similar to that for eqs 23 and 24, and obtain 33 Therefore, eqs 25– 27 and the initial and boundary conditions described in eq 33 constitute a well-posed, simplified description of our problem.

We thus drop the first term on the right-hand side and simplify eq 20 to 22 We combine eqs 22 and 21 as 23 24 We seek a straightforward expansion for the solution of eqs 23 and 24 in the form c = c0 + ε c1 + ε c2 +..., and n = n0 + ε n1 + ε n2 +.... Then substitute these into eqs 23 and 24.

The solution is obtained applying the straightforward series expansion.

A straightforward Laurent expansion of (4.9), (4.10), and (4.11) near P ∞ yields the following results.

Then we use the straightforward eigenfunction expansion technique proposed by Mei [24] and Linton & Mclver [25].

Because of the absence of quadratic nonlinearities, a straightforward asymptotic expansion can be written in order to include stretching and damping effects at order (varepsilon ^{3}).

We can see that with each additional fading coefficient considered, a straightforward graph expansion is carried out, effectively nesting the F−1 diversity achieving graph in the code capable of full-diversity performance on the channel with F fading coefficients.

Clearly, a straightforward "cluster expansion" makes sense only in a regime of dilute selective sweeps at sufficiently low rates of beneficial mutations, where the interference interactions of Figure 2, C F, are infrequent.