Sentence examples for described up to from inspiring English sources

Integrable ("well-behaved") representations of these ∗-algebras are defined and described up to unitary equivalence.

Integrable ("well-behaved") representations of the corresponding ∗-algebras are defined and described up to unitary equivalence.

Coupling multiple measures of texture or coupling elevation with a single texture measure described up to 63% of the variability in bird species richness.

In addition to the difficulties already described, up to 25% of women's breasts are persistently and visibly asymmetrical.

Although under the conditions described, up to 98% of the CD14+ cells were depleted, however the surviving monocytic cells were sufficiently transfected.

Biochemistry (ALT and creatinine) and haematology (haemoglobin, WBC, platelets) values outside of the reference ranges were described up to 19 months post Dose 1; frequency distribution of results by predefined toxicity grades were tabulated by group.

Finally, a recent report describing up to 21 mm cranio-caudal longitudinal IVC displacements associated with the respirophasic cycle highlights additional potential errors in computskippinging maximum and minimum diameters [18].

These are graphical lists describing up-to-date, country-by-country economic performance, as measured by statistics about trade, GDP growth (or shrinkage), government budgets, and stock market prices.

Herein we describe up-to-date versions of three MMP-based data sets that have originated from in-house research projects.

Another review entitled "The Importance of Autophagy Regulation in Breast Cancer Development and Treatment" summarizes the current knowledge on autophagy regulation in breast cancer, describing up-to-date anticancer strategies correlated with autophagy.

Linear movements describing up to a 60% the length of the device were attained.