Sentence examples for as special examples of from inspiring English sources

may all be illustrated as special examples of Eq. (1.1).

We can view the two forms of III as special examples of conformational and colour polymorphism, both of which have been long known and intermittently revisited [18] [21], and frequently related.

The authors in [18] proposed a class of multi-step fixed point proximity algorithms, including several existing algorithms as special examples, for example the algorithms in [11, 12].

Several well-known decomposition theories are contained as special examples and are unified under the aspect of group theory.

Before her paper, most results in commutative algebra were restricted to special examples of commutative rings, such as polynomial rings over fields or rings of algebraic integers.

As we know, Dirichlet series is regarded as a special example of the Laplace-Stieltjes transform.

where A n ∗ = sup λ n < x ≤ λ n + 1, − ∞ < t < + ∞ | ∫ λ n x e − i t y d α ( y ) |. Remark 1.1 The Dirichlet series is regarded as a special example of Laplace-Stieltjes transformations, and considerable attention has been paid to the growth and the value distribution of analytic functions defined by the Dirichlet series; see [1 3] for some recent results.

As a special example of a method for which the unit cost per file can be altered based on sampling strategy, the video data managing cost, ĊM, depends on the resources invested in observing each video.

As a special example, the lifting scheme of 5/3 wavelet of JPEG2000 is obtained; it is the two-channel N LLWFB of order 2 both dual and primal vanishing moments.

As a special example, we analyse the hydrogenation of ethylene over platinum/alumina and show that multiple steady states are predicted for isothermal catalyst pellets for certain values of the external partial pressures and Thiele Modulus.

As a special example, we use the color image.