Sentence examples for transform for any from inspiring English sources

We define next the geodesic X-ray transform for any compact Riemannian manifold ( M, g ) with boundary of any dimension.

The first one is that (-Delta)^{frac{1}{2}}g(x)= bigl(|xi|hat{g}(xi) bigr)^{vee}(x) using the Fourier transform for any function g in the Schwartz class.

Non-subsampled contourlet transform for (a) three-stage pyramid decomposition.

Pairing the dress with pearl earrings, costume jewelry, a silk scarf or an animal print skinny belt, it can be transformed for any occasion.

Levin and Nosov (2009) performed the inverse Laplace transform for the velocity potential for any depth z.

It's transforming for a book.

But, this month, the theatre is being transformed for a different purpose altogether.

We used a dB transform for normalization.

And in fact, the Laplace transform for s equals j omega reduces to the Fourier transform.

Namely that the Laplace transform for s equals j omega reduces to the Fourier transform.

The forward transform for the triplet is defined as (7).