Sentence examples for prolongation over from inspiring English sources
Now, we briefly consider the notion of prolongation of Lie algebroids (for details, see [5]), in order to generate a prolongation over a smooth map; our notations are different, being adapted to those from Lagrange and Finsler geometry [18, 19, 22].
When wait times were expressed at a high resolution, three major care events showed prolongation over time.
Additional large-scale studies are needed to more precisely identify the magnitude of PRI prolongation over the lifespan.
The ligamentum teres makes its appearance at this time, and the glenoidal labrum has extensive prolongation over the head of the femur.
Moreover, prolongation over a longer period might result in occurrence of confounding factors in these frail nursing home residents (acute disease such as influenza, cognitive decline, changes in medication use and instability of comorbidity).
rIX-FP is a coagulation factor IX (recombinant), albumin fusion protein with more than fivefold half-life prolongation over other standard factor IX (FIX) products available on the market.
However, with continued cellular repolarization, the membrane potential eventually becomes negative to the Erev of SACNS, such that maintained mechanical stimulation may give rise to late AP prolongation and cross-over of the repolarization curve, potentially leading to early after-depolarization-like events.
Once those mysteries are solved, and the crisis is over, any prolongation turns into soap opera.
Andre et al. (2004) compared the prognosis of metastatic breast cancer patients over two time periods, and showed a significant prolongation of survival over time in patients with HR-positive tumors [ 14].
In particular, we have the prolongation of E over the vector bundle projection π:E→M.
We call L * π E = ( E *, * π , * π ρ ) Open image in new window a prolongation N-algebroid over E*, of rank 2m, with fibers isomorphic to (E,E * ) with the Lie algebroid structure defined for *ρ and E* instead of ρ and E. o We note that if E=TM the Lie algebroid L * ρ E Open image in new window transforms into the standard Lie algebroid (T(T*M),, *ππ=Id).
