vector concept
| Definition | A list of d numbers, and the arrow from the origin to the point with those coordinates. A row of a table with d numeric columns is one. Primer L, equation L.1. |
|---|---|
| Example | (3, 4) is the arrow from the origin to the point three across and four up, and has length 5. |
| Book | Data Mining as Observation, draft 0.2, commit f3914f0; entry id vector, kind concept. |
| Status | no ledger row names this entry. Corrections: none recorded. |
| Defining equation | Book equation L.1. |
| 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
Book equation L.1.
\[x+y=(x_1+y_1,\dots,x_d+y_d),\qquad c\,x=(c\,x_1,\dots,c\,x_d).\]
Conditions
none
Ledger
none
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 primers L and S, chapters 0, 1, 2, 3, 4, 6, 8, 9, 10, 11, 12, 13.
Related
dot product; unit vector; linear combination; matrix.
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.