Sentence examples for above expansion from inspiring English sources

The only problem is that it would fall some €400m a year short of making any profit, according to SNCF's number crunchers.The third policy would amount to a more cautious version of the above expansion: a radical overhaul of operating and working practices to turn most of the TGV network into the railway equivalent of a low-cost airline.

See also [1] for a general approach including the above expansion.

In practice, the above expansion gets truncated at a certain order.

The above expansion of π 2 was also given by Yamaji Nushizumi (1704-1772) around 1765. 1699.

Since the approximation (21) satisfies the first three terms in the above expansion, the errors are given by the last term.

Using the above expansion and the fact that ∫ 0 ∞ ∂ s ∂ x s N n, α, β ( x, t ) ( t − x ) i d t = 0 for  s > i, (2.7).

Yet, there is a class of problems whose solutions exhibit near sinusoidal or repetitive behavior that cannot be solved using the above expansions.

end{aligned} (13 Substituting the above expansions (13) along with the same stretched coordinates (9) into Eqs.

Next, we only need to compute the coefficients (mu_{2}), (T_{2}), (beta_{2}) in the above expansions.

Therefore the constant γ can be approximated with a very high speed of convergence by the above expansions.

As a result of above expansions, models of scientific explanation started to adopt statistical law as an important premise, and the reasoning strategy were also enriched (Salmon 1989; Zhang 2002).