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The boundary of a set in topology. The boundary operator on a chain complex in homological algebra. The boundary operator of a differential graded algebra. The conjugate of the Dolbeault operator on complex differential forms. The boundary ∂(S) of a set of vertices S in a graph is the set of edges leaving S, which defines a cut.
A relic border is a former boundary, which may no longer be a legal boundary at all. However, the former presence of the boundary can still be seen in the landscape. For instance, the boundary between East and West Germany is no longer an international boundary, but it can still be seen because of historical markers on the landscape; it remains ...
MV Boundary, a number of ships with this name; Boundaries in landscape history, the divide between areas of differing land used; Boundary (real estate), the legal boundary between units of real property; Boundary (company), an American application performance management company; Boundary critique, a concept about the meaning and validity of ...
Word boundary may refer to: Word boundary (linguistics) Word boundary (computing) See also. Word alignment (disambiguation) This page was last edited on 26 ...
The continental boundaries are considered to be within the very narrow land connections joining the continents. The remaining boundaries concern the association of islands and archipelagos with specific continents, notably: the delineation between Africa, Asia, and Europe in the Mediterranean Sea;
Metes and bounds is a system or method of describing land, real property (in contrast to personal property) or real estate. [1] The system has been used in England for many centuries and is still used there in the definition of general boundaries.
Below are separate lists of countries and dependencies with their land boundaries, and lists of which countries and dependencies border oceans and major seas. The first short section describes the borders or edges of continents and oceans/major seas. Disputed areas are not considered.
A boundary point of a set is any element of that set's boundary. The boundary defined above is sometimes called the set's topological boundary to distinguish it from other similarly named notions such as the boundary of a manifold with boundary or the boundary of a manifold with corners, to name just a few examples.