The temporal modalities of future possibility and past necessity are indistinguishable from the control operators ◊,□, prooftheoretically and as far as their relational interpretation is concerned.
In conclusion, our in silico predictions – which were centered on temporal modalities of gene expression - successfully predicted the cis-regulatory inputs responsible for the temporal expression profile of associated genes and suggest an important role for Nuclear Receptors in this process.
Moreover k 0 + = 1. 3 × 1 0 − 7 [ 13] and k i + may be either constant or linearly decreasing, with k N + = 0. Since the average lifespan of a chimeric mouse is three years, and since we are interested in assessing the possibility (and spatio-temporal modality) of the onset of immunoevasion of a tumour, all simulations (unless stated) represent an interval of length 1100 days ≈3 years.
The language of \(\mathsf{HS}\) includes a set of propositional letters \(\mathcal{AP},\) the classical propositional connectives \(\lnot\) and \(\lor\) (all others, including the propositional constants \ \top\) and \ \bot,\) are assumed definable as usual), and a family of interval temporal modal operators (modalities) of the form \(\langle X\rangle,\) one for each of the Allen relations.
Indeed, VECTOR is a Radio Tower, and the broadcasts of Our dominant frequency are growing ever-stronger in all temporal modalities throughout The Grandest Estate, My LEMNIVERSE.
Formally, the language of propositional Ockhamist branching-time temporal logic, OBTL, contains, besides the temporal modalities \(F,P,\) a modality \(\diamondsuit\) for referring to the possible histories passing through the current instant.
To say that the future is contingent in the sense of temporal modality does not imply that we have causal control over the entire future, of course.
Most of the previously developed methods have been limited to use only pre-specified weights to combine spatial and temporal modality information.
Grosseteste's discussion of non-temporal modalities and their relation to God's power is most fully set out in the first recension of On Free Choice.
But they, unlike Grosseteste, had not attempted to work out in any detail a theory of modality severing a link with considerations of time and change (the twelfth-century thinker, Peter Abelard, is an exception, but his theory of non-temporal modality, which takes as its central notion that of a thing's nature, is very different from Grosseteste's and had little influence).
Alternative modalities of temporal control of gene expression have been reported in Drosophila metamorphosis.
