Sentence examples for unique resolution from inspiring English sources

A precise version of the spectral theorem in this case is: Given a densely defined self-adjoint operator T on a Hilbert space H, there corresponds a unique resolution of the identity E on the Borel sets of R, such that ::\langle Tx, y\rangle = \int_\mathbb{R} \lambda\,dE_{x,y}(\lambda) :for all x ∈ D(T) and y ∈ H.

In this study, we sample 683 skink species, and our phylogeny provides a unique resolution of higher-level skink relationships.

A successful survey of five plant tissues was completed using the modified protocol, and 3D reconstructions were produced that provided visualization of plant cells at a unique resolution.

It will find unique answers where possible, but will leave in all ambiguities when a unique resolution is impossible without more information.

For the more unique resolutions, such as for treaties of alliance, declarations of war and peace, ennoblements and increases in national debt, a majority vote of both chambers voting jointly was needed.

Hitachi's P42H401 utilizes unique HD1080 resolution, which has 1,000 lines of resolution at a similar value to panels with 720p resolution.

This unique spatial resolution, combined to a high brightness, enables chemical element imaging in subcellular compartments.

The transcriptome resource presented here is likely to yield insights on such regulatory mechanisms and will provide a unique molecular resolution of a coordinated stress response in vivo in a free-ranging marine mammal study system.

For simple lipid/detergent systems, isothermal titration calorimetry (ITC) is an excellent technique for following vesicle solubilization and reconstitution, offering unique accuracy, resolution, and sensitivity as well as robustness against light scattering and other experimental issues.

Thanks to the unique spatial resolution of scanning probe techniques, we were able to observe a reconstruction on InAs{111}B, not appearing on bulk samples and thus demonstrating that the atomic scale surface structure on NWs cannot always be expected to behave as on larger surfaces.

This unique high-resolution set of transient deep vadose zone data was used for inverse simulations.