Compute sums

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Last seen on: Daily Celebrity Crossword – 10/20/19 People Sunday

Random information on the term “Add”:

The parallel operator  ‖ {\displaystyle \|} (pronounced “parallel”, following the parallel lines notation from geometry) is a mathematical function which is used as a shorthand in electrical engineering,[nb 1] but is also used in kinetics, fluid mechanics and financial mathematics.

It represents the reciprocal value of a sum of reciprocal values (sometimes also referred to as “reciprocal formula”) and is defined by:

‖ :   C ¯ × C ¯ → C ¯ ( a , b ) ↦ a ‖ b = 1 1 a + 1 b = a b a + b {\displaystyle {\begin{array}{rlcl}\|:\ &{\overline {\mathbb {C} }}\times {\overline {\mathbb {C} }}&\to &{\overline {\mathbb {C} }}\\&(a,b)&\mapsto &a\|b={\frac {1}{{\frac {1}{a}}+{\frac {1}{b}}}}={\frac {ab}{a+b}}\end{array}}} with C ¯ = C ∪ { ∞ } {\displaystyle {\overline {\mathbb {C} }}=\mathbb {C} \cup \{\infty \}} being the extended complex numbers (with corresponding rules). The later form is sometimes also referred to as “product over sum”.

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