righthalf

Righthalf is a generic term used to describe the portion of a two‑dimensional object, region, or dataset that lies to the right of a specified dividing line, usually a vertical axis or symmetry line. The exact definition depends on context. In plane geometry, if a figure is divided by a vertical line x = c, the right half consists of all points (x, y) in the figure with x ≥ c. The corresponding term left half describes the portion with x ≤ c.

In the broader mathematics of regions, the right half-plane is the set of points { (x, y) : x > 0 } relative to the y-axis, and in complex analysis the right half-plane is { z : Re(z) > 0 } relative to the imaginary axis. In these uses, righthalf or right half denotes one side of a symmetrical division of the plane.

In computer science and image processing, righthalf may refer to the right-hand portion of an image, a data partition, or a subregion produced by clipping or segmentation. It is a practical descriptor when describing operations that affect only the portion on the figure’s right side, such as cropping, feature extraction, or balanced data splitting.

Etymology: the term is a straightforward combination of “right” and “half” and is not a standardized technical term with a single formal definition beyond the chosen dividing reference.

See also: left half, half-plane, symmetry axis, bisect, crop, partition. Examples: the right half of a circle cut by its diameter is the semicircular region on the right; for a rectangle with corners at (0,0) to (2,1), the right half is defined by x ≥ 1. Limitation: without a defined axis, “righthalf” is ambiguous.