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Parallel Addition (operator)
Parallel addition may refer to: * Parallel (operator) The parallel operator (also known as reduced sum, parallel sum or parallel addition) \, (pronounced "parallel", following the parallel lines notation from geometry) is a mathematical function which is used as a shorthand in electrical e ..., a mathematical operation used in electrical engineering * Parallel addition (computing), a digital circuit performing addition of numbers {{disamb ...
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Parallel (operator)
The parallel operator (also known as reduced sum, parallel sum or parallel addition) \, (pronounced "parallel", following the parallel lines notation from geometry) is a mathematical function which is used as a shorthand in electrical engineering, but is also used in kinetics, fluid mechanics and financial mathematics. The name ''parallel'' comes from the use of the operator computing the combined resistance of resistors in parallel. Overview The parallel operator represents the reciprocal value of a sum of reciprocal values (sometimes also referred to as the "reciprocal formula" or "harmonic sum") and is defined by: :\begin \parallel: &&\overline \times \overline &\to \overline \\ &&(a, b) &\mapsto a \parallel b = \frac = \frac, \end with \overline = \mathbb\cup\ being the complex projective line (with corresponding rules). The operator gives half of the harmonic mean of two numbers ''a'' and ''b''. As a special case, for any number ...
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