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  • Term: compact dishwasher
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    compact dishwasher!


    compact dishwasher

    Comprehensive Analysis



    1) "Compact" -- As to compact dishwasher

    1com·pact
    Pronunciation: k&m-'pakt, käm-', 'käm-"
    Function: adjective
    Etymology: Middle English, firmly put together, from Latin compactus, from past participle of compingere to put together, from com- + pangere to fasten -- more at PACT
    1 : predominantly formed or filled : COMPOSED, MADE
    2 a : having a dense structure or parts or units closely packed or joined <a compact woolen> <compact bone> b : not diffuse or verbose <a compact statement> c : occupying a small volume by reason of efficient use of space <a compact camera> <a compact formation of troops> d : short-bodied, solid, and without excess flesh
    3 : being a topological space and especially a metric space with the property that for any collection of open sets which contains it there is a subset of the collection with a finite number of elements which also contains it
    - com·pact·ly /-'pak(t)-lE, -"pak(t)-/ adverb
    - com·pact·ness /-'pak(t)-n&s, -"pak(t)-/ noun
    Pronunciation Symbols

    In mathematics, a subset of Euclidean space Rn is called compact if it is closed and bounded. For example, in R, the closed unit interval [0, 1] is compact, but the set of integers Z is not (it is not bounded) and neither is the half-open interval [0, 1) (it is not closed).

    A more modern approach is to call a topological space compact if each of its open covers has a finite subcover. The Heine–Borel theorem shows that this definition is equivalent to "closed and bounded" for subsets of Euclidean space.

    Note: Some authors such as Bourbaki use the term "quasi-compact" instead and reserve the name "compact" for topological spaces that are Hausdorff and compact.

    • 1 History and motivation
    • 2 Definitions
      • 2.1 Compactness of subsets of Rn
      • 2.2 Compactness of topological spaces
    • 3 Examples of compact spaces
    • 4 Theorems
    • 5 Other forms of compactness
    • 6 See also
    • 7 References

    The term compact was introduced by Fréchet in 1906.

    It has long been recognized that a property like compactness is necessary to prove many useful theorems. It used to be that "compact" meant "sequentially compact" (every sequence has a convergent subsequence). This was when primarily metric spaces were studied. The "covering compact" definition has become more prominent because it allows us to consider general topological spaces, and many of the old results about metric spaces can be generalized to this setting. This generalization is particularly useful in the study of function spaces, many of which are not metric spaces.

    One of the main reasons for studying compact spaces is because they are in some ways very similar to finite sets: there are many results which are easy to show for finite sets, whose proofs carry over with minimal change to compact spa..."



    2) "Dishwasher" -- As to compact dishwasher

    dish·wash·er
    Pronunciation: -"wo-sh&r, -"wä-
    Function: noun
    1 : a worker employed to wash dishes
    2 : a machine for washing dishes
    Pronunciation Symbols

    A Dishwasher A two drawer DishDrawer dishwasher.
    This article discusses the appliance of the same name, for information on manual dishwashing see the Dishwashing article

    A Dishwasher is a mechanical device for cleaning food utensils for preparation, keeping, serving and eating and drinking. They can be found in restaurants and also in many kitchens of houses.

    • 1 How dishwashers work
    • 2 History
    • 3 Characterisation
      • 3.1 Capacity
      • 3.2 Size
      • 3.3 Features
      • 3.4 Sound Damping
    • 4 Detergent
      • 4.1 Hand-washing detergent
    • 5 Rinse aid
    • 6 Dishwasher salt
    • 7 Hazing of glassware, prohibition on dishwashing lead crystal
    • 8 Items that should not to be put in a dishwasher
    • 9 Level of sterilisation
    • 10 Commercial dishwashers
    • 11 Dishwashers and the environment
      • 11.1 Dishwashers versus washing dishes by hand
      • 11.2 Waterless dishwasher concept
      • 11.3 Dishwasher detergents and rinse aids
    • 12 References
    • 13 See also
    • 14 External links

    Unlike manual dishwashing, which relies largely on physical scrubbing to remove soiling, the mechanical dishwasher cleans by spraying hot (55-65 degrees Celsius or 130-150 degrees Fahrenheit) water on the dishes. First detergent-added water is used for cleaning purposes, then clean water to remove the detergent residue. Some dishwashers have multiple wash and rinse periods within the complete cycle. A rinsing aid is added to the rinse cycle by some dishwashers. As th..."



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