Mathematical meanings of the term covering include
- A covering map in topology. In Mathematics, a covering space is a Topological space C which "covers" another space X by a Surjective Local homeomorphism Topology ( Greek topos, "place" and logos, "study" is the branch of Mathematics that studies the properties of
- Cover (topology), a system of (usually, open or closed) sets whose union is a given topological space. In Mathematics, a cover of a set X is a collection of sets such that X is a Subset of the union of sets in the collection Topological spaces are mathematical structures that allow the formal definition of concepts such as Convergence, connectedness, and continuity.
- A vertex covering or edge covering in graph theory. In the mathematical discipline of Graph theory, a covering (or cover) of a graph is a set of vertices (or edges such that each edge (vertex In the mathematical discipline of Graph theory, a covering (or cover) of a graph is a set of vertices (or edges such that each edge (vertex In Mathematics and Computer science, graph theory is the study of graphs: mathematical structures used to model pairwise relations between objects
- The covering lemma in set theory (specifically large cardinal theory). In Mathematics, under various anti- Large cardinal assumptions one can prove the existence of the canonical inner model called the Core Model, that is in a sense In the mathematical field of Set theory, a large cardinal property is a certain kind of property of Transfinite Cardinal numbers Cardinals with such properties
- The Lebesgue covering dimension, a definition of dimension using topological properties. In Mathematics, the Lebesgue covering dimension or topological dimension of a Topological space is defined to be the minimum value of n, such In mathematics the dimension of a Space is roughly defined as the minimum number of Coordinates needed to specify every point within it
- The ε-covering number of a compact set (some info can be found in Box-counting dimension and Sphere packing). In Fractal geometry, the Minkowski-Bouligand dimension, also known as Minkowski dimension or box-counting dimension, is a way of determining the Fractal In Mathematics, sphere packing problems are problems concerning arrangements of non-overlapping identical Spheres which fill a space
Non-mathematical pages that relate to covering include
- Window covering
- Covering a base
- The recording or performance by musicians of cover versions of other artists' songs
- In the world of opera, acting as an understudy for singers of leading roles. Window coverings are material used to cover a Window to manage Sunlight, to provide additional weatherproofing to ensure privacy or for purely decorative purposes In Baseball, part of the Infielders job is to cover bases. That is they stand next to a base in anticipation of receiving the ball thrown from another fielder In Popular music, a cover version, or simply cover, is a new rendition ( Performance or Recording) of a previously recorded commercially released Opera is an art form in which Singers and Musicians perform a Dramatic work (called an opera which combines a text (called a Libretto An understudy is a theatrical term for someone who learns the lines and blocking/choreography of a leading actor or actress in a theatrical play.
See also
Couverture chocolate is a form of Chocolate. Chocolate makers use harvested cacao beans and other ingredients to produce couverture chocolate
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