Sentence examples for different powers of a from inspiring English sources

Specifically, one may define a Lie transformation in which the coordinates 'r' and the time t are scaled by different powers of a parameter λ (Figure 9), : t \rightarrow \lambda^{3}t, \qquad \mathbf{r} \rightarrow \lambda^{2}\mathbf{r}, \qquad\mathbf{p} \rightarrow \frac{1}{\lambda}\mathbf{p}~.

(5)–(8), and collect terms in different powers of (epsilon) to obtain a set of reduced equations.

On the other hand, Rassias [10, 11] considered the Cauchy difference controlled by a product of different powers of norm.

Three kinds of Ta/Al atomic composition ratios of about 2/1, 1/1 and 1/2 are prepared by different powers of Ta and Al targets in a magnetron sputtering system.

The different powers of each of the suits and characters factor into the level design quite smartly.

Fig. 1 Nb and B elemental composition (at.%) EDX of Nb-B-Al-O nanocomposite films at different power of Al2O3 (a) and height of Nb-B-Al-O nanocomposite films at different power of Al2O3 (b). Figure 2 shows the XRD diffractograms from the nanocomposite films with different powers of Al2O3.

(1 4), and collect the terms in different powers of ɛ.

For different soundcards, the η value is different, meaning different powers of additive noise.

We substitute (10)–(12) in (5)–(9) and equate the coefficients of different powers of ε.

(1)–(7), and again collect the terms in different powers of ( varepsilon ).

In Japanese Chess (Shogi) for example, many pieces can be promoted and gain different powers of movement.