Sentence examples for transformations we have from inspiring English sources

Then, after some transformations, we have the following result.

We're so excited by the transformations we have already heard from customers who say they feel more confident and no longer need to hide behind makeup to cover their skin.

where r α q x = r α ( x − q ) + q is a rotation of the Euclidean plane around point q, and with respect to these transformations we have the following.

Thus we have ∥ ∂ x i ( ∂ x k f ) ∥ p = ∥ R B R B B f ∥ p ≤ C ∥ B f ∥ p. By using the Fourier Bessel transformations, we have P ( | y | 2 ) F B [ ( B ) f ] ( y ) = − | y | 2 F B [ P ( B ) f ] ( y ).

Since f is an even continuous function on S n − 1 and spherical convolution operators are multiplier transformations, we have f ∗ g = ∑ k = 0 m c k g k π k h ( K, ⋅ ) p = ∑ k = 0 m π k h ( K, ⋅ ) p = h ( K, ⋅ ) p. (3.15).

Although we have shown that the prior distribution on the transformation rate will affect the average number of transformations, we have also shown that it had a contrasting influence when identifying the most probable character history (Tables 2 and 3).

After all the amazing beauty transformations we've seen during this red carpet season, we were anxiously waiting to find out what other hair and makeup surprises Hollywood's leading ladies had in store.

If two shapes A and B are transformed into A′ and B′ by an affine transformation, we have R AB n = R A ′ B ′ n R BA n = R B ′ A ′ n. (6).

There are four main reasons for the transformation we have witnessed this week.

If we really want transformation, we have to slog through the hard stuff (history, economics, philosophy, art, ambiguities, contradictions).

For realizing this transformation, we have proposed a meta-model for UML-AD and another one for PN.