With these stipulations, we define for any d ≥ 2 M the cyclic d × d matrices A d and B d (or A and B for short) by specifying their entries A p q : = { i a q − p if q − p ∈ { 1, …, M − 1 }, − i a p − q if p − q ∈ { 1, …, M − 1 }, 0 otherwise (54).
The age waiver has clearly defined stipulations as to the location to which a teen may drive.
'Supervene' receives its sense by stipulation, and the notion so defined is to be judged by its philosophical fruits (McLaughlin 1995).
Socrates accepted the designation, but with the stipulation that his wisdom be defined as awareness of his own ignorance.
Since a definition does not assert or deny, Aristotle probably intends us to understand definitions as stipulations or as defining expressions which are equivalent in some way to the defined term.
Putting all these stipulations together, we can define our \(R\) thus: Temperate Knowledge \((r,a)R(r',a')\) iff (i) \(a'=a\), and (ii) \ r'\) is within \(a \pm (2 + \left| r-a \right| )\).
As opposition groups worked together to maintain momentum and define the stipulations to cease demonstrations, supporters of a free Egypt used technology to build a global community and lured attention to their urgent plea.
An exhaustive document exceeding 100 pages, the stipulation presents in detail an administrative mechanism and a schedule of payments to compensate class members who meet defined asbestos-exposure and medical requirements.
When a trauma of certain intensity has been clearly defined and the temporal connection has been ascertained, then the causal relationship will be recognized, whilst with some reservation and the stipulation that at the moment other evidence based causes cannot be taken into account.
These spirits were then re-distilled to make "London dry gin", the defining stipulations for which are still in force today: it must contain no added sugar, be flavoured primarily with juniper, and a minimum of 37.5% alcohol by volume.
