Very often, decisional capacity is divided into four sub-capacities.
This is perhaps the least mental of the sub-capacities that constitute capacity, which may explain why it is not considered an element of capacity by some authors.
Yet while there is some agreement on what the sub-capacities that underlie decisional capacity are supposed to be, the same cannot be said of the term "decisional capacity" itself.
After sub-capacity crowds had attended the first three finals after the First World War at Stamford Bridge, The Football Association (The FA) was unconvinced that the match could fill the large capacity of the new stadium and undertook a major advertising campaign, for fans to attend.
Decision-making capacity (or decision-making competence), as it has been conceptualised in law and bioethics, is a compound of abilities typically divided into four sub-capacities: understanding, appreciation, reasoning, and choice [ 4, 5].
Therefore, it is easy to verify that the overall sub-channel is indecomposable and the sub-channel capacity is given by [6] begin{array}rcl@ C={lim}_{Trightarrowinfty}frac{1}{T}max_{mathbf{a}_{1}^{T}}Ileft(mathbf{X}_{1}^{T},mathbf{Y}_{1}^{T}right), end{array} (22).
Applying the conclusion in Theorem 1 and Lemma 3, we obtain the following proposition, which converts the finite state sub-channel into a memoryless one: The sub-channel capacity is independent of the initial state and is given by begin{array}rcl@C=max_{Delta}sumlimits_{xiin mathbf{Xi}} sumlimits_{n=1}^{N}left(H(Y_{n}|xi -H(Y_{n}|xi -H,xi)right)Delta(xi), end{arraY_{n35).
When sub-channels are memoryless, it is well known that the sub-channel capacity is given by (note that we ignore all time indices in this section) [6] begin{array}rcl@ C=max_{mathbf{a}}I X,Y), end{array} (3).
In the setting of the Heisenberg group results of this kind have been obtained through methods based on sub-elliptic capacity and Fefferman Phong inequalities.
They argued in those cases, it was impossible to identify colocalization by eye and thus, the algorithm had a sub-visual capacity to asses for colocalization.
Our colocalization algorithm was designed to contemplate this variability and was precise and consistent in a variety of simulated images including those where colocalization cannot be determined by eye (i.e., our algorithm has sub-visual capacity), and in the biological samples evaluated here as well as in other models.
