... them:vectors and covectors are represented by one-dimensional arrays, linear operatorsand quadratic forms are represented by two-dimensional arrays. Apart from thenumber of indices, their position ... 450003 Ufa, RussiaPhone: 7-( 917 )-7 5-5 5-7 86E-mails: R Sharipov@ ic.bashedu.ru, r- sharipov@ mail.ru,ra sharipov@ hotmail.com,URL: http://www.geocities.com /r- sharipov CopyRightc Sharipov R .A. , 200430 ... Dot product and metric tensor. The covectors, linear operators, and bilinear forms that we considered abovewere artificially constructed tensors. However there are some tensors of naturalorigin....