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BUILT-IN MATHEMATICA SYMBOL
Band
Band[{i, j}]
represents the sequence of positions on the diagonal band that starts with 
in a sparse array.
Band[{imin, jmin, ...}, {imax, jmax, ...}]
represents the positions between 
and 
.
Band[{imin, jmin, ...}, {imax, jmax, ...}, {di, dj, ...}]
represents positions starting with 
and then moving with step 
.
Details
- Band[pos]->v represents values v that repeat along the diagonal band starting at pos.
- Band[pos]->{v1, v2, ...} represents a sequence of values
along the diagonal band starting at pos. - With an array a of the same rank as the whole sparse array, Band[start]->a by default inserts a at the position specified by start.
- With arrays
of the same rank as the whole sparse array, Band[pos]->{a1, a2, ...} represents a sequence of non-overlapping subarrays. - Band[start] is effectively equivalent to Band[start, {-1, -1, ...}].
- For scalar values, Band[start, end] is equivalent to Band[start, end, {1, 1, ...}].
- Band[start, end, step] stops when any coordinate first exceeds its value in end.
- Band[start, end]->{v1, v2, ...} takes the values
to repeat cyclically until end is reached. - Band[start, Automatic, step]->a continues until the edge of the array is reached.
- Band[start, Automatic, step]->{v1, v2, ...} continues until the
are exhausted.
New in 6
