In mathematics, Pythagorean addition is the following binary operation: <math>a \oplus b = \sqrt{a^2+b^2}. </math> The name recalls the Pythagorean theorem, which states that the length of the hypotenuse of a right triangle is a ⊕ b, where a and b are the lengths of the other sides. This operation provides a simple notation and terminology when the summands are complicated; for example, the energy-momentum relation in physics becomes <math>E = mc^2 \oplus pc. </math>

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  • In mathematics, Pythagorean addition is the following binary operation: <math>a \oplus b = \sqrt{a^2+b^2}. </math> The name recalls the Pythagorean theorem, which states that the length of the hypotenuse of a right triangle is a ⊕ b, where a and b are the lengths of the other sides. This operation provides a simple notation and terminology when the summands are complicated; for example, the energy-momentum relation in physics becomes <math>E = mc^2 \oplus pc. </math>
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  • In mathematics, Pythagorean addition is the following binary operation: <math>a \oplus b = \sqrt{a^2+b^2}. </math> The name recalls the Pythagorean theorem, which states that the length of the hypotenuse of a right triangle is a ⊕ b, where a and b are the lengths of the other sides. This operation provides a simple notation and terminology when the summands are complicated; for example, the energy-momentum relation in physics becomes <math>E = mc^2 \oplus pc. </math>
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  • Pythagorean addition
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