air manifold!

air manifold

Comprehensive Analysis

1) "Air" -- As to air manifold 1air Pronunciation: 'er Function: noun Usage: often attributive Etymology: Middle English, from Anglo-French, from Latin aer, from Greek aEr 1 a archaic : BREATH b : the mixture of invisible odorless tasteless gases (as nitrogen and oxygen) that surrounds the earth c : a light breeze 2 a : empty space b : NOTHINGNESS <vanished into thin air> c : a sudden severance of relations <she gave me the air> 3 [probably translation of Italian aria] a : TUNE, MELODY b Elizabethan & Jacobean music : an accompanied song or melody in usually strophic form c : the chief voice part or melody in choral music 4 a : outward appearance of a thing <an air of luxury> b : a surrounding or pervading influence : ATMOSPHERE <an air of mystery> c : the look, appearance, or bearing of a person especially as expressive of some personal quality or emotion : DEMEANOR <an air of dignity> d : an artificial or affected manner <put on airs> 5 : public utterance <he gave air to his opinion> 6 : COMPRESSED AIR 7 a (1) : AIRCRAFT <go by air> (2) : AVIATION <air safety> <air rights> (3) : AIR FORCE <air headquarters> b (1) : the medium of transmission of radio waves; also : RADIO, TELEVISION <went on the air> (2) : AIRTIME 8 : a football offense utilizing primarily the forward pass <trailing by 20 po It has been suggested that Air (mixture of gases) be merged into this article or section. (Discuss) Layers of Atmosphere (NOAA) Earth's atmosphere is a layer of gases surrounding the planet Earth and retained by the Earth's gravity. It contains roughly 78% nitrogen, (normally inert except upon electrolysis by lightning[1] and in certain biochemical processes of nitrogen fixation), 21% oxygen, 0.93% argon, 0.04% carbon dioxide, and trace amounts of other gases, in addition to about 3% water vapor. This mixture of gases is commonly known as air. The atmosphere protects life on Earth by absorbing ultraviolet solar radiation and reducing temperature extremes between day and night. There is no definite boundary between the atmosphere and outer space. It slowly becomes thinner and fades away into space. Three quarters of the atmosphere's mass is within 11 km of the planetary surface. In the United States, persons who travel above an altitude of 50.0 miles (80.5 km) are designated as astronauts. An altitude of 120 km (75 mi or 400,000 ft) marks the boundary where atmospheric effects become noticeable during re-entry. The Karman line, at 100 km (62 miles), is also frequently used as the boundary between atmosphere and outer space. 1 Temperature and the atmospheric layers 2 Pressure and thickness of the atmosphere 3 Composition 3.1 Mass percentage calculations 3.2 Heterosphere 4 Density and mass 5 Evolution of the Earth's atmosphere 6 Air pollution 7 References 8 See also 9 External links The temperature of the Earth's atmosphere varies with altitude; the mathematical relationship between temperature and altitude varies between seven different atmospheric layers: 2) "Manifold" -- As to air manifold 1man·i·fold Pronunciation: 'ma-n&-"fOld Function: adjective Etymology: Middle English, from Old English manigfeald, from manig many + -feald -fold 1 a : marked by diversity or variety b : MANY 2 : comprehending or uniting various features : MULTIFARIOUS 3 : rightfully so-called for many reasons <a manifold liar> 4 : consisting of or operating many of one kind combined <a manifold bellpull> - man·i·fold·ly /-"fOl(d)-lE/ adverb - man·i·fold·ness /-"fOl(d)-n&s/ noun Pronunciation Symbols On a sphere, the sum of the angles of a triangle is not equal to 180°. A sphere is not a Euclidean space, but locally the laws of the Euclidean geometry are good approximations. In a small triangle on the face of the earth, the sum of the angles is very nearly 180°. A sphere can be represented by a collection of two dimensional maps, therefore a sphere is a manifold. A manifold is an abstract mathematical space in which every point has a neighbourhood which resembles Euclidean space, but in which the global structure may be more complicated. In discussing manifolds, the idea of dimension is important. For example, lines are one-dimensional, and planes two-dimensional. In a one-dimensional manifold (or one-manifold), every point has a neighborhood that looks like a segment of a line. Examples of one-manifolds include a line, a circle, and two separate circles. In a two-manifold, every point has a neighborhood that looks like a disk. Examples include a plane, the surface of a sphere, and the surface of a torus. Manifolds are important objects in mathematics and physics because they allow more complicated structures to be expressed and understood in terms of the relatively well-understood properties of simpler spaces. Additional structures are often defined on manifolds. Examples of manifolds with additional structure include differentiable manifolds on which one can do calculus, Riemannian manifolds on which distances and angles can be defined, symplectic manifolds which serve as the phase space in classical mechanics, and the four-dimensional pseudo-Riemannian manifolds which model space-time in general relativity. A technical mathematical definition of a manifold is given below. To fully understand the mathematics behind manifolds, it is necessary to know elementary concepts regarding sets and functions, and helpful to have a working knowledge of calculus and topology. 1 Motivational examples 1.1 Circle 1.2 Other curves 1.3 Enriche..." 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