SURFACE

Surface

In mathematics, specifically, in topology, a surface is a two-dimensional, topological manifold. The most familiar examples are those that arise as the boundaries of solid objects in ordinary three-dimensional Euclidean space R3 — for example, the surface of a ball. On the other hand, there are surfaces, such as the Klein bottle, that cannot be embedded in three-dimensional Euclidean space without introducing singularities or self-intersections.

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surface

Noun

  1. The overside or up-side of a flat object such as a table, or of a liquid.
  2. The outside hull of a tangible object.
  3. Outward or external appearance.
    On the surface, the spy looked like a typical businessman.
  4. The locus of an equation (especially one with exactly two degrees of freedom) in a more-than-two-dimensional space.
  5. That part of the side which is terminated by the flank prolonged, and the angle of the nearest bastion.

Verb

  1. To provide something with a surface.
  2. To apply a surface to something.
  3. To rise to the surface.
  4. To come out of hiding.
  5. For information or facts to become known.
  6. To work a mine near the surface.
  7. To appear or be found.


The above text is a snippet from Wiktionary: surface
and as such is available under the Creative Commons Attribution/Share-Alike License.

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