英和和英

名詞

zero vector (plural zero vectors)

1. (mathematics, linear algebra) A vector ${\displaystyle 0}$ in a vector space ${\displaystyle V}$ such that for any ${\displaystyle v\in V}$, ${\displaystyle 0+v=v}$; a vector whose value in every dimension is zero; i.e., <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {0}}=<0,0,\ldots ,0>}"> 0 → =< 0 , 0 , … , 0 > {\displaystyle {\vec {0}}=<0,0,\ldots ,0>} <img loading="lazy" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/52fe3bfbce4e8097bb8946e2c9e2daacd0e1280f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:18.222ex; height:3.176ex;" alt="{\displaystyle {\vec {0}}=<0,0,\ldots ,0>}">.

   The zero vector of a given vector space is the space's additive identity.