Sentence examples for space extensions from inspiring English sources

In each of them a description of the set of commuting unitary Hilbert space extensions is presented and uniqueness conditions are given as well.

Necessary and sufficient conditions in order that two Krein space isometries whose defect subspaces are Hilbert spaces admit commuting unitary Hilbert space extensions are discussed.

With nearly 10 years of large-scale construction of Shanghai subway network, the drive of expo 2010, and also the pressing needs of space extension for urban regeneration and modernization, the exploitation of underground space in Shanghai has been greatly advanced.

The following is a Banach space extension of Theorem 4.3.

Parameter space extension (1) Light modeling (illumination)   (2) 3D modeling (pose)  .

As radiation determines extension (by structuring space), extension determines radiation (by an inverse-square law).

The remaining 201 patients had Stage II-III with parapharyngeal space extension or T3 disease.

RESULTS: Of the 364 patients treated between 1990 and 2001, 163 (44.8%) had low-risk Stage I-III NPC (without parapharyngeal space extension or T3 disease).

CONCLUSION: Our findings suggest that the risk of distant metastasis in Stage I-III NPC patients without parapharyngeal space extension or T3 disease is extremely low.

Part II of the Principles lays out the thesis of the identity of space (extension) and matter, develops a definition of motion in the "true, or philosophical sense", and sets out the fundamental dynamical laws of his system.

If the walk-in tub doesn't quite fit your old bathtub space, extension kits are available to ensure a good fit.