The most common norm, calculated by summing the squares of all coordinates and taking the square root. This is the essence of Pythagoras’s theorem. In the infinite-dimensional case, the sum is infinite or is replaced with an integral when the number of dimensions is uncountable.
noun, Mathematics. 1. ordinary two- or three-dimensional space. 2. any vector space on which a real-valued inner product is defined.
eucrasia eu·cra·sia (yōō-krā’zhə, -zhē-ə) n.
[yoo-krahyt] /ˈyu kraɪt/ noun, Petrography. 1. a basic gabbro consisting mainly of bytownite and augite.
/juːˈkrɪfɪə/ noun 1. any tree or shrub of the mostly evergreen genus Eucryphia, native to Australia and S America, having leaves of a dark lustrous green and white flowers: family Eucryphiaceae