The rotating shaft creates an electrical signal proportional to the cable's linear extension or velocity.
2.
The lexicographic order of totally ordered sets is however a linear extension of their product order.
3.
The lexicographical order of two totally ordered sets is thus a linear extension of their product order.
4.
By using these constructions, one can use topological ordering algorithms to find linear extensions of partial orders.
5.
Here " S " is not necessarily generated as the set of linear extensions of a partial order.
6.
With these definitions, a topological ordering of the DAG is the same thing as a linear extension of this partial order.
7.
Then there exists a linear extension of to the whole space, i . e ., there exists a-linear functional such that
8.
The process of vaporization can be used to ablate tissue targets, or, by linear extension, used to transect or cut tissue.
9.
A continuous linear extension can be used to construct the integral for all left-continuous and adapted integrands with right limits everywhere ( caglad or L-processes ).
10.
In computer science, algorithms for finding linear extensions of partial orders ( represented as the reachability orders of directed acyclic graphs ) are called topological sorting.