The sets of states A l l S t a t e(w) and P r i o r S t a t e w, q), left and deep transition probabilities and word probabilities are computed in a depth-first traversal along the left edges of OvGraph [see Additional file 2].
They are used to compute probabilities of the F -sets, see (23 ); Given a right deep node r, we store, for each class H∗ w, r ), the "deep transition probabilities" P r o b (q~, B a c k (H∗ w, r )), q ) where q ranges over A l l S t a t e (H∗ w, r )) and q~ ranges over P r i o r S t a t e (H∗ w, r ), q ).
Tonight's glamour tie in Geneva will evoke memories of Mexico City 1970 and Barcelona 1982 for those of a certain vintage, but the reality is that these two powerhouses of world football are in deep transition.
This is not surprising: now that these economies have emerged from the deep transition crises of the early 1990s, pent-up industrial and infrastructural demands must be met, and new or privatised firms and banks short of capital must be recapitalised.
The constant data consist of left transition probabilities assigned to the nodes of the OvGraph, deep transition probabilities assigned to the deep edges and word probabilities assigned to the right deep nodes.
In the end, governments and companies have a basic choice: One, move very quickly with large-scale investment in deep transitions across all sectors of the economy, investing trillions to reduce energy costs, improve health, and avoid many other risks.
This paper develops a new theoretical framework that aims to explain the emergence, acceleration, stabilization and directionality of Deep Transitions.
It is part of a deep and complicated transition the outcome of which will shape the future of China, and with it, the rest of the world.
Raymo, M. E., Oppo, D. W. & Curry, W. The mid-Pleistocene climate transition: a deep sea carbon isotopic perspective.
These theoretical results agree well with the related experimental observations and provide a deep understanding into the transition mechanism of optical absorptions in the PI species.
