Sentence examples for collection of projections from inspiring English sources

In terms of implementation, we work with a discretized form of (1) in which the integral is approximated as a Riemann sum over a finite collection of projections and is evaluated at the centers of image pixels.

This paper presents necessary and sufficient conditions for a positive bounded operator on a separable Hilbert space to be the sum of a finite or infinite collection of projections (not necessarily mutually orthogonal), with the sum converging in the strong operator topology if the collection is infinite.

The collection of maximum projections of 3D imaging, the selection of region of interest (ROI) and the measurement of the average fluorescence intensity of anti-cyt c were performed by using ImageJ (National Institutes of Health, Bethesda, MD, USA).

The multi-beam X-ray source array enables collection of all projection images from different viewing angles without mechanical motion.

For a long time, the European Timber Trend Studies ETTSS) as published by the UNECE/FAO were a collection of nationally executed projections of a set of standardised scenarios (Schelhaas et al. 2017).

The size of z ( ϑ p ) n 1, n 2 varies with ϑ p, and we denote as K(p),p = 0,…P − 1 the number of columns of z ( ϑ p ) n 1, n 2. We generalize definitions (4) to (6) by considering the collection of the random projections of z ( ϑ p ) n 1, n 2 over a finite set of P directions ϑ p : y ( ϑ p ) [ m ] = ∑ i φ m ( ϑ p ) [ i ] · z ( ϑ p ) i, m (7).

Let C ∗ ( E ) denote the universal C ∗ -algebra generated by a collection of mutually orthogonal projections { p v | v ∈ E 0 } together with partial isometries { s e | e ∈ E 1 } which satisfy the Cuntz Krieger relations: (CK1) s e ∗ s e = p r ( e ) for all e ∈ E 1, and   (CK2) p v = ∑ { e ∈ E 1 | s ( e ) = v } s e s e ∗ for each non-sink v ∈ E 0.  .

These results suggest that a given SNr projection neuron receives input from a spatially diffuse collection of other SNr projection neurons.

Dataset III is a collection of aligned maximum intensity projections of the fluorescent serial optical sections.

True tomographic imaging has mainly been applied to imaging fluorescence (also referred to as FMT), and involves the illumination of the sample at different points or projections and the collection of the emitted photonic signal using various photodetector sets or a CCD camera.

A synapse is defined as a collection of profiles containing the same dense projection.