The phrase "a pivot index" is correct and usable in written English.
It can be used in contexts related to mathematics, computer science, or data analysis, particularly when discussing algorithms or data structures.
Example: "In the quicksort algorithm, the pivot index is crucial for determining how to partition the array."
Alternatives: "a central index" or "a reference index".
Let E 2 be the square submatrix determined by deleting the non-pivot-index columns of D ˜ 2, then let E 1 denote the submatrix of D ¯ 1 comprising the columns with the same indices.
(3) If k i = k j and i < j, then p i < p j, i.e. the pivot indices corresponding to the same row degree are increasing.
As the last two rows of D ¯ (q ) are already in row polynomial echelon form (with pivot indexes equal to 2 and 3) V 22 = [ 1 0 0 1 ].
This is a consequence of the fact that we have neither been able to give exact bounds of the degree of those columns of D ˜ 1 not corresponding to pivot indices, nor that the corresponding real valued parameters are free.
(2) Let E 2 be the submatrix of D ˜ 2 comprising those columns defined by the pivot indices of D ˜ 2 and let E 1 be the submatrix of D ¯ 1 defined by selecting the same columns.
Thus [ E 1 ′ E 2 ′ ] ′ will be obtained from [ D ¯ 1 ′ D ˜ 2 ′ ] ′ by deleting columns not containing pivot indices of D ˜ 2. As noted above, E 2 is column reduced.
The structure of D ˜ 1 p = [ F 11 (q ) 0 ], and in particular the fact that the last (p − (m + n ) ) columns are zero, is a consequence of the canonical form construction, which ensures that in those columns of D ˜ 1 p which correspond to pivot indices appearing in D ˜ 2 p, the degree of each entry is less than that of the corresponding pivot entry.
The following problems are left for further research: (1) The integer valued parameters k 1, …, k p − m (row degrees) and p 1, …, p p − m (pivot indices) associated with our canonical form do not directly describe the set of all canonical forms associated with the same integers.
Now using your thumb of the same hand roll away almost half of the deck away from the grip of the two fingers using the same index finger as a pivot.
For a head actuator assembly (HAA), which is the most important mechanical component of an HDD and consists of a cantilever arm fixed onto a pivot bearing, the maximun relative deflection between the tip of the arm and the pivot can be used as an index for its response to shock.
