Definition:Half-Plane/Closed/Left
< Definition:Half-Plane | Closed(Redirected from Definition:Closed Left Half-Plane)
Jump to navigation
Jump to search
Definition
Let $\PP$ be a Cartesian plane.
Let $\LL$ be the $y$-axis.
The closed left half-plane $\HH_{\text {CL} }$ is the area of $\PP$ on the left of and including $\LL$.
That is, where $x \le 0$:
- $\HH_{\text {CL} } := \set {\tuple {x, y}: x \in \R_{\le 0} }$