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单词 parallel
释义
parallel

Mathematics
  • In Euclidean geometry, two or more lines or planes that are always equidistant from one another, however far they are extended. Consequently they will never meet, though this is not a sufficient condition for lines in three dimensions to be parallel, as skew lines also never meet. Two parallel lines have to lie in a plane. Sometimes curves or surfaces are described as parallel if they satisfy the equidistant condition, where the distance between the curves or surfaces is defined as the shortest distance from a point on one curve or surface to any point lying on the other.

    In the hyperbolic plane, two lines are said to be parallel if they do not meet. No two lines are parallel in the elliptic plane.


Statistics
  • See reliability theory.


Computer
  • Involving the simultaneous transfer or processing of the individual parts of a whole, such as the bits of a character. Compare serial.


Electronics and Electrical Engineering
  • 1. Circuit elements are said to be in parallel if they are connected so that the current divides between them and later reunites (see diagram).

    For n resistors in parallel the total resistance, R, is given by:

    1R=1r1+1r2+1rn

    where r1, r2, …rn are the values of the individual resistors.

    For n capacitors in parallel the total capacitance, C, is given by:

    C=c1+c2+c3+cn

    where c1, c2, …cn are the individual capacitances. The capacitors thus behave collectively as a large capacitor having the total plate area of the component capacitors.

    Machines, transformers, and cells are said to be in parallel when terminals of the same polarity are connected together. Several cells connected together in parallel have a lower total internal resistance than a single cell and can therefore supply a larger maximum current. See also series; shunt.

    2. (in computing) Involving the simultaneous transfer or processing of the individual parts of a whole.

    parallel

    Resistors in parallel Capacitors in parallel


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