span concept
| Definition | The set of all linear combinations of a set of vectors. One nonzero vector spans a line, two off one line span a plane, and the columns of a matrix span its column space. Primer L section L.1. |
|---|---|
| Example | (2, 4) lies in the span of (1, 2), being twice it, and (3, -1) does not. |
| Book | Data Mining as Observation, draft 0.2, commit f3914f0; entry id span, kind concept. |
| Status | no ledger row names this entry. Corrections: none recorded. |
| Defining equation | none |
| Assumptions and scope | none |
| Prior art | none recorded |
| Evidence | none |
| Reviewed | semantic review 2026-09-09; generated 2026-09-10 from records at the commits on the provenance page. |
Equation
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Conditions
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Ledger
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First stated
Primer L section L.1 of Data Mining as Observation, added in draft 0.3 (2026-09-09) for the ECE 514 readers whose first courses are far behind. The idea is standard and TSK Appendix A covers it at length.
Measurements
none
Failures and corrections
none
Invariance envelope
none declared
Machine checked
none
Used in
Data Mining as Observation primer L, chapters 0, 2, 5, 6, 7, 11, 13.
Related
linear combination; column space; rank; basis.
See also
none
Status
Generated 2026-09-10 by encyclopedia/generate.py; book
at observation-data-mining f3914f0; the commit of every record is listed
in the encyclopedia’s provenance.