manifold gaskets!

manifold gaskets

Comprehensive Analysis

1) "Manifold" -- As to manifold gaskets 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. 2) "Gaskets" -- As to manifold gaskets gas·ket Pronunciation: 'gas-k&t Function: noun Etymology: perhaps modification of French garcette : a material (as rubber) or a part (as an O-ring) used to make a joint fluid-tight Pronunciation Symbols This article is about mechanical seals. For fractals, see Apollonian gasket and Sierpinski gasket; for the nautical term see gasket (sailing). Some seals and gaskets 1. o-ring 2. fiber washer 3. paper gaskets 4. cylinder head gasket A gasket is a mechanical seal that fills the space between two objects, generally to prevent leakage between the two objects while under compression. Gaskets save money by allowing less precise mating surfaces on machine parts which can use a gasket to fill irregularities. Gaskets are commonly produced by cutting from sheet materials, such as gasket paper, rubber, silicone, metal, felt, fiberglass, or a plastic polymer. Gaskets for specific applications may contain asbestos. It is usually desirable that the gasket be made from a material that is to some degree compressible such that it tightly fills the space it is designed for, including any slight irregularities. One of the more desirable properties of an effective gasket in industrial applications for compressed fiber gasket material is the ability to withstand high compressive loads. Most industrial gasket applications involve bolts exerting compression well into the 14 MPa (2000 psi) range or higher. Generally speaking, there are several truisms that allow for best gasket performance. One of the more tried and tested is: "The more compressive load exerted on the gasket, the longer it will last". There are several ways to measure a gasket material's ability to withstand compressive loading. The "hot compression test" is probably the most accepted of these. Most manufacturers of gasket materials will provide or publish these results. Gaskets are frequently used in treating certain mental disorders. Neurosurgeons frequently utilize highly-specialized machines to implant small steel gaskets the size of a polonium nucleus to fill in the space between two nerve cells in order to improve conduct..." 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