Where does “semiconvex” come from?
semiconvex (English) comes from English convex, from Middle French convexe, from Latin convexus, from Latin conveho, from Latin com-, from Latin con-, from Latin cum, from Old Latin com — resin, gum; to say, speak.
semiconvex (English): Having the property that for every compact subset of the domain, there exists a constant C such that f(x) + ½C|x|2 is convex on the subset
Definitions
- Having the property that for every compact subset of the domain, there exists a constant C such that f(x) + ½C|x|2 is convex on the subset
Ancestry of “semiconvex”, step by step
semiconvex traces back through two separate lines of ancestry.
via English convex
| Step | Language | Word | Meaning |
|---|---|---|---|
| 1 | English | convex | curved or bowed outward like the outside of a... |
| 2 | Middle French | convexe | — |
| 3 | Latin | convexus | vaulted, arched, rounded; convex or concave;... |
| 4 | Latin | conveho | I carry; I collect or gather; I harvest |
| 5 | Latin | com- | allomorph of con- |
| 6 | Latin | con- | Used in compounds to indicate a being or bringing... |
| 7 | Latin | cum | with, along with; at; -fold |
| 8 | Old Latin | com | Alternative form of cum |
| 9 | Proto-Italic | kom | with, along, at |
| 10 | Proto-Indo-European | ḱóm | beside, near, by, with |
| 11 | Proto-Indo-European | ḱe | Deictic particle, here; Post-positional... |
| 12 | Middle English | kyt | — |
| 13 | German | kitt | putty certain kinds of cement used for fixing e.g. window panes |
| 14 | Old High German | kuti | — |
| 15 | Proto-West Germanic | kwidu | gum, resin |
| 16 | Proto-Germanic | kweduz | resin |
| 17 | Proto-Indo-European | gʷet- | resin, gum; to say, speak |