Sentence examples for transform acting from inspiring English sources

We consider the geodesic X-ray transform acting on symmetric tensor fields.

The case of the geodesic X-ray transform acting on functions independent of ξ and the geodesic X-ray transform acting on vector fields which, following the notation above, are denoted by I 0 and I 1 respectively.

We obtain new inversion formulas for the Radon transform and the corresponding dual transform acting on affine Grassmann manifolds of planes in Rn.

2.2.1, to give a characterization of the range of the geodesic X-ray transform in terms of the scattering relation and we give Fredholm type inversion formulas for the geodesic X-ray transform acting on scalar functions and vector fields.

The fractional Laplacian [1] can be characterized as begin{aligned} - -Delta )^{frac{alpha }{2}}u x,t)=-mathcal{F}^{ -1)} bigl(vert xi vert ^{ -1ha }mathcal{F} bigl vertt) bigr) bigr), end{aligned} where (mathcal{F}) denotes the Fourier transform acting on the spatial variable xi

The programme, together with workshops, will explore ways in which film-making can help transform societies acting as a tool for advocacy, protest and reconciliation.

European earthworms are invading many ecosystems worldwide and fundamentally transform habitats by acting as dominant ecosystem engineers.

Several viral genes, such as v-GPCR, vIRF 1 4, vFLIP, and vIL-6, mainly expressed during the lytic phase of viral replication have been recognized as transforming factors acting through autocrine and paracrine mechanisms [ 21, 34].

Taken together with the metabolic role of mitochondrial STAT3 recently reported by us and others [ 11, 12], STAT3 emerges as a central regulator of cell metabolism in both transformed and non-transformed cells, acting both in the nucleus and in mitochondria.

If at first it may have seemed that the geospatial sciences brought tools enabling this research within a cross-disciplinary perspective, it transformed rapidly into acting as a media of a more holistic integrated approach [16], which then expressed itself in challenging its specific developments within a context beyond the disciplines involved.

The fabrics that comprise costumes on court are no longer materials with fixed properties; their performativity and the control of their performativity means that costumes become smart objects that can virtually change their states, transforming themselves and acting in accordance with the data of the environment.