Pythagorean addition

Pythagorean addition

In mathematics, Pythagorean addition is the following binary operation::a oplus b = sqrt{a^2+b^2}.The name recalls the Pythagorean theorem, which states that the length of the hypotenuse of a right triangle is nowrap|"a" ⊕ "b", where "a" and "b" are the lengths of the other sides.

This operations provides a simple notation and terminology when the summands are complicated; for example, the energy-momentum relation in physics becomes:E = mc^2 oplus pc.

Further reading

*cite journal |author=Moler, Cleve and Donald Morrison |title=Replacing Square Roots by Pythagorean Sums |journal=IBM Journal of Research and Development |volume=27 |issue=6 |pages=577–581 |year=1983 |url=http://www.research.ibm.com/journal/rd/276/ibmrd2706P.pdf
*cite journal |first=Augustin A. |last=Dubrulle |title=A Class of Numerical Methods for the Computation of Pythagorean Sums |journal=IBM Journal of Research and Development |volume=27 |issue=6 |pages=582–589 |year=1983 |url=http://www.research.ibm.com/journal/rd/276/ibmrd2706Q.pdf


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