For a given entwining structure (A,C)ψ involving an algebra A, a coalgebra C, and an entwining map ψ : C ⊗ A → A ⊗ C, a category MA(ψ) of right (A,C)ψmodules is defined and its structure analysed. In particular, the notion of a measuring of (A,C)ψ to (Ã, C̃)ψ̃ is introduced, and certain functors between M C A(ψ) and M Ã (ψ̃) induced by such a measuring are defined. It is shown that these functors ...

Precise tracking of lung tumor motion during treatment delivery still represents a challenge in radiation therapy. Prototypes of MRI-linac hybrid systems are being created which have the potential of ionization-free real-time imaging of the tumor. This study evaluates the performance of lung tumor tracking algorithms in cine-MRI sagittal images from five healthy volunteers. Visible vascular str...

Proof. The proof is by induction on N , and is obviously true for N = 0 (won position) or N = 1 (only one vertex has negative evaluation, so there’s only one legal move which is known to be winning). Suppose then that for every k < N , if a pair (G, ē) admits a win in k moves then every legal sequence of moves from (G, ē) leads to a win in k moves. Assume that (G, e) admits a win in N moves sta...

As well known, the b-boundaries of the closed Friedman world model and of Schwarzschild solution consist of a single point. We study this phenomenon in a broader context of differential and structured spaces. We show that it is an equivalence relation ρ, defined on the Cauchy completed total space Ē of the frame bundle over a given space-time, that is responsible for this pathology. A singulari...