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.
Read more about Surface.
Some articles on surface:
... In a hard drive, the heads 'fly' above the disk surface with clearance of as little as 3 nanometres ... head is controlled by the design of an air-bearing etched onto the disk-facing surface of the slider ... height constant as the head moves over the surface of the disk ...
... such as the boundary of a cube, are among the first surfaces encountered in geometry ... It is also possible to define smooth surfaces, in which each point has a neighborhood diffeomorphic to some open set in E² ... This elaboration allows calculus to be applied to surfaces to prove many results ...
... The Roman surface or Steiner surface (so called because Jakob Steiner was in Rome when he thought of it) is a self-intersecting mapping of the real projective plane into three-dimensional space, with ... of longitude (θ) and latitude (φ), gives parametric equations for the Roman surface as follows x = r2 cos θ cos φ sin φ y = r2 sin θ cos φ sin φ z = r2 cos θ sin ... The origin is a triple point, and each of the xy-, yz-, and xz-planes are tangential to the surface there ...
... The field's surface, originally composed of AstroTurf, contained many gaps and uneven patches ... Baseball players also complained about the surface ... It was much harder than other AstroTurf surfaces, and the shock of running on it often caused back pain ...
... and geodesy, a datum is a set of reference points on the Earth's surface against which position measurements are made and (often) an associated model of the shape of the Earth (reference ... datums are used for describing a point on the Earth's surface, in latitude and longitude or another coordinate system ... In engineering and drafting, a datum is a reference point, surface, or axis on an object against which measurements are made ...
More definitions of "surface":
- (noun): A device that provides reactive force when in motion relative to the surrounding air; can lift or control a plane in flight.
Synonyms: airfoil, aerofoil, control surface
- (noun): The outermost level of the land or sea.
Example: "Earthquakes originate far below the surface"; "three quarters of the Earth's surface is covered by water"
Synonyms: Earth's surface
- (adj): On the surface.
Example: "Surface materials of the moon"
- (verb): Put a coat on; cover the surface of; furnish with a surface.
- (noun): The outer boundary of an artifact or a material layer constituting or resembling such a boundary.
Example: "There is a special cleaner for these surfaces"; "the cloth had a pattern of red dots on a white surface"
- (noun): Information that has become public.
Example: "The facts had been brought to the surface"
- (verb): Appear or become visible; make a showing.
Example: "I hope the list key is going to surface again"
Synonyms: come on, come out, turn up, show up
- (noun): The extended two-dimensional outer boundary of a three-dimensional object.
Example: "They skimmed over the surface of the water"; "a brush small enough to clean every dental surface"; "the sun has no distinct surface"
Famous quotes containing the word surface:
“The surface of the earth is soft and impressible by the feet of men; and so with the paths which the mind travels. How worn and dusty, then, must be the highways of the world, how deep the ruts of tradition and conformity!”
—Henry David Thoreau (18171862)
“These wonderful things
Were planted on the surface of a round mind that was to become our present time.”
—John Ashbery (b. 1927)