Sentence examples for on the generating from inspiring English sources

In the present paper, a new theorem on the degree of approximation of a function f ˜, conjugate to a 2π periodic function f belonging to the Lipα ( 0 < α ≤ 1 ) class without the monotonicity condition on the generating sequence { p n } has been established, which in turn generalizes the results of Lal (Appl. Math. Comput. 209: 346-350, 2009) on a Fourier series.

The rebate, available to residential and business customers, is based on the generating capacity of a system.

Here, Lal [21] has assumed monotonicity on the generating sequence { p n } to prove their theorems.

Then the symmetric group (S_{4}) of degree 4 naturally acts on the generating functions.

Lal [9] has assumed monotonicity on the generating sequence { p n }.

Specially, these examples show that the concept on the generating function of the q-Bernoulli polynomials is unreasonable.

Then, strategies are presented based on the generated organizational clusters.

Figure 3 Material characterization studies on the generated nanostructures.

Then, partitioning methods can be executed on the generated matrices.

The first configuration imposes spatial smoothness on the generated mattes, while the other emphasizes background smoothness.

Thus, the effect of the quantization errors on the generated output LLR values is insignificant.