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  • 4.3: Вправи
    https://ukrayinska.libretexts.org/%D1%84%D1%96%D0%B7%D0%B8%D0%BA%D0%B8/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%BD%D0%B0_%D1%84%D1%96%D0%B7%D0%B8%D0%BA%D0%B0_%D1%96_%D0%BF%D0%B5%D0%B4%D0%B0%D0%B3%D0%BE%D0%B3%D1%96%D0%BA%D0%B0/%D0%9E%D0%B1%D1%87%D0%B8%D1%81%D0%BB%D1%8E%D0%B2%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0_%D1%84%D1%96%D0%B7%D0%B8%D0%BA%D0%B0_(Chong)/04%3A_%D0%A7%D0%B8%D1%81%D0%B5%D0%BB%D1%8C%D0%BD%D0%B0_%D0%BB%D1%96%D0%BD%D1%96%D0%B9%D0%BD%D0%B0_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0/4.03%3A_%D0%92%D0%BF%D1%80%D0%B0%D0%B2%D0%B8
    \[\varepsilon_{ijk} = \begin{cases} +1 & \text{if } (i,j,k) \text{ is } (1,2,3), (2,3,1) \text{ or } (3,1,2), \\ -1 & \text{if } (i,j,k) \text{ is } (3,2,1), (1,3,2) \text{ or } (2,1,3), \\ \;\;\,0 & ...εijk={+1if (i,j,k) is (1,2,3),(2,3,1) or (3,1,2),−1if (i,j,k) is (3,2,1),(1,3,2) or (2,1,3),0if i=j or j=k or k=i Потім за допомогою функції tensordot перевірте особу∑iεijkεimn=δjmδkn−δjnδkm.