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A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints. In geometry , a line segment is often denoted using an overline ( vinculum ) above the symbols for the two endpoints, such as in AB .
A closed polygonal chain is one in which the first vertex coincides with the last one, or, alternatively, the first and the last vertices are also connected by a line segment. [1] A simple closed polygonal chain in the plane is the boundary of a simple polygon .
In geometry, a polygon (/ ˈ p ɒ l ɪ ɡ ɒ n /) is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. An n-gon is a polygon with n sides; for example, a triangle is a 3 ...
The normal form (also called the Hesse normal form, [10] after the German mathematician Ludwig Otto Hesse), is based on the normal segment for a given line, which is defined to be the line segment drawn from the origin perpendicular to the line. This segment joins the origin with the closest point on the line to the origin.
Closed line or closed lines could refer to: Closed curve, a curve in mathematics where the two ends meet; Closed line segment, a line segment in mathematics that includes both its endpoints; Defunct airlines, or air travel companies that no longer exist; Line (formation), a military formation in which soldiers are packed together into rows
A set C is strictly convex if every point on the line segment connecting x and y other than the endpoints is inside the topological interior of C. A closed convex subset is strictly convex if and only if every one of its boundary points is an extreme point. [3] A set C is absolutely convex if it is convex and balanced.
A closed account that’s in good standing – meaning your debts are paid off and were on time – will stay on your credit report for 10 years and help your credit score.
A convex set in light blue, and its extreme points in red. Throughout, will be a real or complex vector space. For any elements and in a vector space, the set [,]:= {+ ():} is called the closed line segment or closed interval between and .